right triangleXYZ with hypotenuse line segment YZ, the length of line segment XY is b units long, and the length of line segment XZ is three times the length of line segment XY

Right TriangleXYZ With Hypotenuse Line Segment YZ, The Length Of Line Segment XY Is B Units Long, And

Answers

Answer 1

The length of the hypotenuse side of the right triangle ΔXYZ, found using Pythagorean Theorem is b·√(10)

What is Pythagorean Theorem?

Pythagorean Theorem  indicates that the square of the length of the hypotenuse side of a right triangle is equivalent to the sum of the square of the legs of the right triangle.

The specified parameters of triangle are;

The hypotenuse of the triangle, ΔXYZ = [tex]\overline{YZ}[/tex]

The length of the legs of the right triangle are;

[tex]\overline{XY}[/tex] = b, and [tex]\overline{XZ}[/tex] = 3 × [tex]\overline{XY}[/tex]

Therefore;

[tex]\overline{XZ}[/tex] = 3 × b (substitution property of equality)

The length of the hypotenuse side can be calculated as follows;

Therefore;, according to Pythagorean theorem, we get;

[tex]\overline{YZ}[/tex]² = [tex]\overline{XY}[/tex]²  +  [tex]\overline{XY}[/tex]²

[tex]\overline{YZ}[/tex]² = b²  +  (3·b)² = b² + 9·b² = 10·b²

[tex]\overline{YZ}[/tex] = [tex]\sqrt{10\cdot b^2} = b \cdot \sqrt{10}[/tex]

The  length of the  hypotenuse side , [tex]\overline{YZ}[/tex] = b·√(10)

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Related Questions

jacob had some cchips he used 2 2/5 cups to make some muffins .he has 5 2/10 cups of cchips left how many cups if cchips .did he have to start?
a.7
b.7 7/6
c.7 3/5
d.8​

Answers

Answer: c

Step-by-step explanation:

1) 2 2/5 + 5 2/10

2) 2 2/5 = 12/5 = 24/10

3) 5 2/10 = 52/10

4) 24 + 52 = 76

5) 76/10 = 38/5

6) convert to mixed number

Perform the operations! 30 points

Answers

Step-by-step explanation:

5x³-6x³=-x³

5x²--3x²=8x²

-4x--5x= x

11--5=16

overall answer: -x³+8x²+x+16

please mark brainliest

Hi again no teachers are around to help so can u?

Answers

An expression does not have an equal sign so D is the answer
Answer: D

Explanation

The answer is D because an expression doesn’t have an equal sign. D is an equation because it has an equal sign

f(t)=-12(t+7)^2(t+6)^3(t+2)^6


Find the zeros and the multiplicities. Please help.

Answers

The zeros and the multiplicities of the polynomial are t = -7, t = -6 and t = -2 and 2, 3 and 6, respectively

How to determine the zeros and the multiplicities

The equation of the polynomial is given as

f(t) = -12(t+7)²(t+6)³(t+2)⁶

The multiplicities are the powers of the factors while the zeros are calculated by setting the factors to 0

So, we have

t + 7 = 0

t + 6 = 0

t + 2 = 0

Calculate the value of t

t = -7, t = -6 and t = -2

Hence the zeros are t = -7, t = -6 and t = -2

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The seventh-grade students at Fulmore Middle School are trying to raise at least $7,500 for the local public library. So far, each of the 198 students has raised an average of $20. How much nore money must each seventh grader collect, on average, to reach the goal? AS AN INEQUALITY PLEASE

Answers

what I ended up with was each student needs to to collect about $17.87

The microwave oven uses only 1000 watts of electricity. Does this allow you to have both the microwave oven and the toaster plugged into the circuit at the same time? Explain your reasoning.

Answers

Maximum allowed overload in the circuit=1800
watts


Load of microwave=1000
watts


Load of the toaster=800
watts


Load of microwave+
load of toaster<
maximum load allowed in circuit


1000+800<1800


1800<1800
, this is not true because1800
is equal to1800
and not less than that.

True or False. If the statement is False, explain why.
The decimal of 4/11 will terminate.

Answers

Answer:

4/11 is not a terminate

Because it is non- terminate,if we divide those non- terminating numbers than the divided answer is repeated.

Find the solution of the system of equations.
4x - y = -1
-4x-6y=-34

Answers

Answer:

Step-by-step explanation:

4x-3y=11. 2 (2x-7y=22).=> 4x-14y=44. 4x-3y=11....................1. 4x-14y=44. 11y= -33. y= -3. then,putting it in 1. 4x-3 (-3)=11.

Anyone know where I can get the awsners for these? The top of the paper says ACT Skills Prep, Week 1

Answers

Answer:

More than likely no full answer key however there might be answers for each individual question.

Pleas help me this is for today!!

Atennis ball machine can launch 60 tennis balls in 12 minutes. At this rate, how many tennis balls can it launch in 2 hours​

Answers

At this rate, the number of tennis ball launched by the machine in 2 hours is 600.

How to find the number of tennis launch ?

The tennis ball machine can launch 60 tennis balls in 12 minutes. At the same rate the ball machine launched a particular amount of tennis ball in 2 hours.

The number of tennis ball the ball machine launched in two hours can be calculated as follows:

rate = number of tennis ball launched / time in minutes

rate = 60 / 12

rate = 5 tennis ball per minutes

Therefore, in 2 hours

5 = x / 120

x = 120 × 5

x = 600 tennis balls

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50 points! Which expression is equivalent to the sum 25 + 60? * 1 point
5(5 + 6)
5 (5 + 8)
5(5 + 10)
5(5 + 12)
I have to explain also!

Answers

Five times five is 25 five times 12 is 60 25+60

A pillar of height 222 ft casts a shadow of 348 ft long.
Find the measure of the angle of elevation of the sun.

Answers

Using tangent of the angle, the angle of elevation is 32.5 degrees

Angle of Elevation

The angle of elevation is an angle that is formed between the horizontal line and the line of sight. If the line of sight is upward from the horizontal line, then the angle formed is an angle of elevation.

In this problem, we have to use the tangent of the angle since we know the opposite and adjacent sides

opposite side = 222adjacent side = 348

Tan θ = opposite / adjacent

tanθ = 222 / 348

tan θ = 0.6379

θ = tan⁻¹(0.6379)

θ = 32.5°

The angle of elevation is 32.5 degrees

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Drag the labels to the correct locations on the image. Each label can be used more than once, but not all labels will be used.
Consider function m.

Answers

−4 ≤ x< 6
Domain is looking for the X so -4 is less then or equal to X but 6 is greater

Please help. I will give 100 points and brianliest.

Write a linear equation that represents the trend line that you have drawn. Be sure to use points that are located on your trend line to find the equation. Show your work.

Answers

Answer: y= 50x+ 100

Step-by-step explanation:the trend line starts below 200 hundred so you

can make an educated guess and say it is 100 then you got to 2 on the fat and it is at 200 but it is 2 so 100+100= 200 for one and 100+50+50= 200 which would give you your x

This is NOT multiple choice

Consider the equation
x+3/x-2 = x-4/x+5

A) solve the equation for x. Show and explain each step used when solving the equation

B) show and explain how the solution can be verified

Answers

Step-by-step explanation:

(X+3)/(x-2)=(x-4)/(X+5)

cross multiply

(x+3)(x+5)=(x-4)(x-2)

x(X+5)+3(X+5) = X(x-2)-4(x-2)

x²+5x+3x+15=x²-2x-4x+8

x²+8x+15=x²-6x+8

x²-x²+8x+6x=8-15

14x=-7

X=-7/14

X=-1/2

B)to verify substitute the answer in the equation given

that is RHS

X+3/x-2

=(-1/2+3)/(-1/2-2)

=5/2/-5/2

=-1

from LHS

x-4/(x+5)

=(-1/2-4)/(-1/2+5)

=-9/2/-9/2

=-1

the LHS= RHS

proved

Given the graphs of f(x) = –x – 2 and g(x) = –2x + 1, find the solution to this system of equations:
x + y = –2
2x + y = 1

Answers

Answer:

(3, -5) or x=3, y=-5

Step-by-step explanation:

Systems of Equations:

In a systems of equation, we're looking for what pair of (x, y) values make both equations true. When a pair of (x, y) makes an equation true, that just means it's on the line of the graph. So a pair of (x, y) values that makes both equations true, is simply when both lines intersect.

Solving Systems of Equations:

There are multiple methods to solve a systems of equation including: elimination, substitution, and graphing.

Each way has their advantages, and I'll show to to apply substitution and elimination

Elimination Method:

In this method we want to manipulate one of equations (or possibly both) so that they each have a variable with the "same coefficient" but different sign (one positive, one negative).

In the equations given, you may notice that the "y" variables each have the same coefficient, so we could multiply either of the equations by negative one, so one has positive y and another has negative y.

The reason we want the equations set up in this way, is so that we can add the equations which results in one of the variables being "eliminated" so that we can solve for a single value for the other variable.

So we start with:

[tex]x+y=-2\\2x+y=1[/tex]

let's multiply the top equation by -1 (remember to apply this to both sides so you don't actually change the equation)

[tex]-(x+y)=-(-2)\implies -x-y=2[/tex]

So now from here we have the two equations

[tex]-x-y=2\\2x+y=1[/tex]

If we add the two equations we get the following

[tex](-x+2x)+(-y+y)=(2+1)[/tex]

Notice how the -y and y cancel each other out? This is the entire point of the elimination method, so now we can solve for x

[tex]x=3[/tex]

This actually simplifies in our favor since -x + 2x = x, and the right side is just some constant, so we don't need to manipulate the equation anymore to solve for x.

Now that we know what the x-value is, we can plug this into either equation to solve for y. For simplicity I'll use the x + y = -2 equation.

[tex]3+y=-2\\y=-2-3\\y=-5[/tex]

So we know the solution is (3, -5) or [tex]x=3,\ y=-5[/tex]

Substitution Method

The substitution method has the same goal as the elimination method, that is, get a one-variable equation so we can solve for one value. In this method, we want to define one variable in terms of the other variable, that way we can substitute this into the other equation, giving us a new equation with only one variable.

So let's just start with the top equation:

[tex]x+y=-2[/tex]

From here we can define "y" in terms of x, by subtracting x from both sides.

[tex]y=-2-x[/tex]

Now let's look at our other equation

[tex]2x+y=1[/tex]

Notice how it has a y variable, well we have one way of defining it: y = -2 - x. If we plug this into the bottom equation, now we only have x terms, giving us a one-variable equation.

[tex]2x+(-2-x)=1[/tex]

Now let's add 2 to both sides to cancel out the -2, and simplify 2x - x

[tex]x=3[/tex]

From here we essentially do the same thinkg we did in elimination method, except it may be a bit easier since we already have "y" solved for, we just need an x-value, which we now have!

[tex]y=-2-x\\\text{we know that x = 3}\\y=-2-(3)\\y=-5[/tex]

so now we have our solution: [tex](3, -5)\text{ or }x=-3, y=-5[/tex]

Suppose that the function h is defined, for all real numbers, as follows.

Answers

According to the query that the function h is established, h(-3) = -1/2, h(2) = 4, and h(4) = -4/1 for all real integers.

What are the different kinds of functions?

An statement, rule, or law in mathematics that establishes the link between an independent variable and a predictor variables (the dependent variable). Equations may be found all around arithmetic, and they are essential for building physical connections in the sciences. A mappings between A and B will only be a function if every member in set A only has end and only 1 photo in set B. Where A & B even be two separate sets.

Briefing:

Have used the top form of h(x) for x = variables -3 and 4 (which deviate from 2):

[tex]\begin{aligned}& h(x)=-\frac{1}{2} x^2+4 \\& h(-3)=-\frac{1}{2}(-3)^2+4=-\frac{9}{2}+4=-\frac{9}{2}+\frac{4}{2}=-\frac{1}{2} \\& h(4)=-\frac{1}{2}(4)^2+4=-\frac{16}{2}+4=-\frac{16}{2}+\frac{4}{1}=-\frac{4}{1}\end{aligned}[/tex]

Alternatively, h(2) must be defined explicitly as stated in the function's second description (specific for when x equals 2). Thus, h(2) equals 4.

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8. Two packages of cookies cost $5.90. How much do seven packages cost? Try using a proportion to
solve or finding unit rate!

Answers

Answer: 20.65

Step-by-step explanation:

2.95 is the unit rate x 7 equals 20.65

Answer:

Step-by-step explanation:

We set up a proportion to find X, which in this case is the cost of seven packages.

Proportion: 5.90:2=x:7

Unit cost: 5.90/2=2.95

But we want to find the cost of seven cookies.

So, we multiply the unit cost by 7.

2.95*7= 20.65

Thus, seven packages of cookies costs $20.65.

PLEASE HELP ME

Write the equation of a line in slope intercept form that is perpendicular to Y= -1/3x+4 and pass through the point (-2,-5)

Answers

Answer:

y = 3x + 1

Step-by-step explanation:

The general form of the slope intercept form is y = mx + b where m is the slope and b is the y-intercept.  

In perpendicular lines, we find the slope of the second equation (m2) using the formula:

[tex]m_{2}=-\frac{1}{m_{1} }[/tex]

Since -1/3 is m1 we have:

[tex]m_{2}=-\frac{1}{-(\frac{1}{3}) } \\ m_{2}=3[/tex]

Now that we've found the slope of the second line, we simply need to find b or its y-intercept by plugging in (-2, -5) and our slope:

[tex]-5=3(-2)+b\\-5=-6+b\\1=b[/tex]

Thus, the equation of the second line is y = 3x + 1

The table shows the percent of each type of sandwich a cafe had available on Sunday. Sandwich Percent Ham 35 Roast Beef 25 Turkey 40 There are a total of 225 ham and turkey sandwiches. How many sandwiches did they have in all on Sunday? sandwiches Part B Fill in the blank question. If the cafe sells all the sandwiches at $4.50 each, how much money will the cafe earn?

Answers

The total number of sandwiches they have in all on Sunday is 375 sandwiches.

The amount earned by the cafe if each sandwich cost $4.50 is $1,687.5

What is the total number of sandwiches?

Ham sandwich = 35%Roast beef sandwich = 25%Turkey sandwich = 40%Total ham and turkey sandwiches = 225Total number of sandwiches = x

Total percentage of ham and turkey sandwiches = 35% + 25%

= 60%

So,

225 = 60% of x

225 = 0.60 × x

225 = 0.60x

divide both sides by 0.60

x = 225/0.60

x = 375

Hence,

Total number of sandwiches = 375

If the cafe sells all the sandwiches at $4.50 each

The total money earned by the cafe = cost of each sandwich × total number of sandwiches

= $4.50 × 375

= $1,687.5

Therefore, the total sandwiches sold in the cafe on Sunday is 375 sandwiches.

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10 added to the product of 8 and b

Answers

The equation would be (8 x b) + 10 or 8b + 10, hopefully this helped :))

Answer:

8b+10

Step-by-step explanation:

8b+10

hope it helps. please mark brainliest

PLS HELP WILL MARK BRANLIEST!!

Find the m 54°
90°
27°
36°

Answers

Answer:

[tex]\huge\boxed{\sf < p = 36\°}[/tex]

Step-by-step explanation:

Since, the line is tangent to the circle, it is making an angle of 90 degree with the radius.

So,

∠p + 54 + 90 = 180 (Interior angles of a triangle add up to 180°)

∠p + 144 = 180

Subtract 144 to both sides

∠p = 180 - 144

∠p = 36°

[tex]\rule[225]{225}{2}[/tex]

Answer:

36°

Step-by-step explanation:

Tangent lines form Right Angles (90°) with all radii of circles.

Triangle Angle Sum: the three angles in a triangle add to 180°

90 + 54 + p = 180

144 + p = 180

p = 36

Mackenzie has some red, yellow and blue marbles. She has 3200 more red marbles than yellow marbles. She has 3840 more blue than yellow. She gives 1490 blue marbles away. How many more red marbles than blue marbles does she have left?

Answers

Answer:

850

Step-by-step explanation:

Mackenzie has 3200 more red marbles than yellow,

(y + 3200 = r)

And she also has 3840 more blue marbles than the yellow marbles,

(y + 3840 = b)

Then let's assume that Mackenzie has 1 yellow marble.

1 + 3200 = 3201 red marbles

1 +3840 = 3841 blue marbles

If she gives away 1490 blue marbles away, then she is left with 2351 blue marbles.

(3841 - 1490 = 2351)

Now she's left with 2351 blue marbles, and 3201 red marbles.

r - b =?

3201 - 2351 = 850

Mackenzie has 850 more red marbles than blue marbles.

(If you want, you can change the number of yellow marbles, but it will be the same answer.)

Solve the system of linear equations by substitution.
5x + 2y = 9
-0.5x - y = 7.5

Answers

Answer:

Step-by-step explanation:

[tex]\displaystyle\\\left \{ {{5x+2y=9\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ } \atop {-0.5x-y=7.5\ \ \ \ \ \ \ \ |\cdot2}} \right. \\\\\\\left \{ {{5x+2y=9} \atop {-x-2y=15}} \right. \\+\\--------\\4x=24\ \ \Rightarrow\ x=24:4\Rightarrow\ x=6\\\\y=-0.5x-7.5=-0.5\cdot6-7.5=-3-7.5=-10.5\\\\\boxed{(x;y)=(6;-10.5)}[/tex]

A body A of mass 1.5kg, travelling along the positive x-axis with speed 4.5m/s collides with another body B of mass 3.2kg which, initially, is at rest. Because of the collision, A deflected and moves with a speed 2.1m/s in a direction which is at angle 30° below the x-axis. B Is set in motion at an angle tether above the x-axis. Calculate the velocity of B after the collision.

Answers

Answer:

FINAL ANSWER: BODY B was moving at 1.35 m/s, 21 degrees above the x-axis.

Step-by-step explanation:

REFER TO THE IMAGES for the SOLUTIONS TO YOUR PROBLEM. Each step will be explained here.

When you solve for velocities before or after collision, you need to remember the law of conservation of moment which can be expressed through this formula:

 BEFORE                   AFTER

m1v1+m2v2      =     m1v1 + m2v2

This basically means, the sum of momentum of 2 objects BEFORE collision is equal to the same 2 objects AFTER collision.

The type of collision we have in your case is a 2D collision, where there is a gliding collision or they touch at an angle. So when you solve these type of problems, you have to consider the x and y components of motion. It makes things easier if you make a table like in the image to sort out your components.

STEP 1: COMPUTE FOR MOMENTUM BEFORE COLLISION for each OBJECT involved.

To solve for momentum, the formula is mass x velocity or mv:

STEP 1a: Body A: The problem states that before collision Body A is moving along the positive X-axis so the velocity will be +4.5 m/s. Notice that the velocity of the y component is 0 m/s. This is because BODY A is moving along the x-axis, with no mention that it deviated from it.

STEP 1b: Body B: Body B is at rest before collision, that is why it is not moving at all, which means both x and y components are equal to 0.

STEP 1c: Get the sum of all X components and the Sum of Y components.

STEP 2:   COMPUTE FOR MOMENTUM AFTER COLLISION for each OBJECT involved.

Step 2a: BODY A: Notice that we now have an angle. hence the cos and sin. We do this because we are breaking or decomposing the diagonal velocity into its x and y component. To get the x-component you get the cos of the angle and multiply it to the momentum of the diagonal or overall velocity. For y-component, instead of cos, you get the sin.

Step 2b: BODY B: Here we have unknowns, which we will derive later on. In this step, just plug in what you know into the formula.

Step 2c: We already know the x and y momentum of the objects BEFORE collision and the law of conversation of momentum states that the momentum AFTER is the same. With this total we can move onto the next step.

STEP 3: Solving for the X and y component of the velocity of BODY B AFTER collision.

Step 3a: Using the formula given in the image, we plug in what we know first. We know the momentum of the BODY A already, so we can put it into the equation. We also know the sum of both momenta and we put that into the equation too. Now all we do is derive the formula. DO NOT FORGET THAT WE ARE TO USE ONLY X COMPONENTS.

Step 3b: is the same as the previous step but instead, we use Y COMPONENTS only.

STEP 4: Combining X and Y components to get the resultant velocity:

For this step you need to remember the Pythagorean theorem. This is applied here because when you draw a free body diagram of the velocities, it creates a right triangle where :

the hypotenuse represents the final velocity

the opposite side represents the y-component and;

the adjacent represents the x-component.

Refer to the image for the solution.

STEP 5: Solving for the angle at which BODY B is moving:

For this step you need to remember SOH CAH TOA to find the angle at which BODY B is moving. You already have all the components you need, including the hypotheses. You can use any of the functions, and they should come up with the same approximation.

FINAL ANSWER: BODY B was moving at 1.35 m/s, 21 degrees above the x-axis.

This week, Ty works 6 hours pulling weeds, 4 hours raking leaves, and 9 hours
cutting grass. How much money does he earn?
Ty earns $
this week.

Answers

Answer:6(a)+4(b)+9(c)

Step-by-step explanation:

Im pretty sure there was an equation that you did not put.

But the equal used to solve would be 6(a)+4(b)+9(c)

a= money earned pulling weeds

b=money earned raking leaves

c=money earned cutting grass.

Pauline plots the numbers 4 1/3 and -51/8 on a number line. Explain how she can use the number line to determine which number is greater . Write an ineaquality to compare the bumbers

Answers

The required inequality is 4¹/₃ > -5¹/8.

What is inequality?

Inequality shows relation between two expression which are not equal to each others.

The given numbers are 4¹/₃ and -5¹/8.

The numbers are plotted on the number lines below,

To determine the number which is greater,

The number which is greater than zero will be greater from the numbers 4¹/₃ and -5¹/8.

4¹/₃  is a greater number.

The inequality can be written as,

4¹/₃ > -5¹/8.

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Greatest common factor of 48, 8, 32

Answers

Answer 16

Step-by-step explanation:

"Test I. Encircle the letter that corresponds your answer. 2 points each
1. How many solutions do you get when you solve by completing the square?
a. 1
b. 2
c. 3
d. 4
2. When completing the square, what do you do if your x squared term has a coefficient?
a. Divide both sides by this coefficient
c. Multiply both sides by this coefficient
b. Nothing
d. Move it to the other side
3. Find the value of b in the quadratic equation 2x²=-5 x+7
a. 2
b. 5
c. -7
d. -5
4. Which of the following mathematical statements is not a quadratic equation?
a. 2 r²-3r-5=0
c. 3t²+7t-2=0
b. 7h+12=h²
d. s²=-8s-15
5. It is a polynomial equation of degree two that can be written in the form ax²+bx+c=0, where a, b, and c are real numbers and a≠ 0.
a. Linear Equation
b. Linear Inequality
c. Quadratic Equation
d. Quadratic Inequality)
"

Answers

The solutions using completing the square of quadratic equations are;

1) B: 2

2) A: Divide both sides by this coefficient

3) B: 5

4) All are quadratic equations

5) C. Quadratic Equation

How to solve quadratic equations by completing the square?

1) Completing the square is basically a method for solving quadratic equations. Now, quadratic equations are second degree polynomials and as such have 2 roots. Thus, the solutions are 2.

2) Usually when using the method of completing the square, we are also trying to get rid of the coefficient attached to x squared and as such if we notice x squared has a coefficient, we will divide both sides by this coefficient.

3) The general form of quadratic equation is;

y = ax² + bx + c

Thus, we have;

2x² + 5x - 7 = 0

Thus, b = 5

4) They are all quadratic equations.

5) The correct one here is Quadratic Equation

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A study of 50 high school students showed that exactly 25 of them took Biology, exactly 20 of them took Chemistry, and exactly 12 of them took both subjects. How many of the 50 students took neither Biology nor Chemistry? One tutor has answered for me, but I am still unclear.

Answers

The number of student that took neither chemistry nor biology is 17.

How to find the number of student that did not take Biology nor Chemistry?

A study of 50 high school students showed that exactly 25 of them took biology, exactly 20 of them took chemistry, and exactly 12 of them took both subjects.

The number of student that took neither biology nor chemistry can be calculated as follows;

Hence,

U = 50

n(C) = 20

n(B) = 25

n(B n C) = 12

n(B n C)' = ?

Therefore,

U = n(C) + n(B) - n(B n C)  + n(B n C)'

Therefore,

50 = 20 + 25  - 12 + x

50 - 45 + 12 = x

x = 5 + 12

x = 17

Therefore, 17 student took neither chemistry nor biology.

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Water is to be pumped from a lake to a ranger station on the side of a mountain (see figure). The length of pipe immersed in the lake is negligible compared to the length from the lake surface to the discharge point. The flow rate is to be 95 gal/min, and the flow channel is a standard 1-inch. Schedule 40 steel pipe (ID= 1.049 inch). A pump capable of delivering 8 hp(-Ws) is available. The friction loss F (ft lb/lbm) equals 0.041L, where L(ft) is the length of the pipe. (a) Calculate the maximum elevation, z, of the ranger station above the lake if the pipe rises at an angle of 30 (b) Suppose the pipe inlet is immersed to a significantly greater depth below the surface of the lake, but it discharges at the elevation calculated in Part (a). The pressure at the pipe inlet would be greater than it was at the original immersion depth, which means that P from inlet to outlet would be greater, which in turn suggests that a smaller pump would be sufficient to move the water to the same elevation. In fact, however, a larger pump would be needed. Explain (i) why the pressure at the inlet would be greater than in Part (a), and (ii) why a larger pump would be needed. 30 a galvanic cell consists of an mg electrode in a 1.0 m mg(no3)2 solution and a cd electrode in a 1.0 m cd(no3)2 solution. determine the overall cell reaction, and calculate the standard cell potential at 25c. Helpppppp!!!!!!!!!!!!!!!!!!!!!Exercise 6. A quadrangular pyramid has a rectangular base of dimensions 6 cm and 8 cm and height 12 cm. a) Draw the lateral edges of the pyramid; b) Calculate the volume of the pyramid; c) Calculate the total surface area of the pyramid help me i need it bad a person is taking a long plane trip and wants to take medication to prevent a blood clot from forming. which medication would you recommend? before running a process improvement experiment, a project manager needs to first identify processes to change and leave unchanged. whats the experiment-related term for the unchanged process? assume that one year ago you bought 100 shares of a mutual fund for $33.90 per share, you received a $0.42 per-share capital gain distribution during the past 12 months, and the market value of the fund is now $41.85. calculate the total return for this investment if you were to sell it now. I need the equation to solve this problem keith, a supervisor, believes that employees should participate in pay-related decisions. he says that it will most likely help in the success of incentive plans, and the plans are more likely to influence employee behavior as desired. which statement weakens this argument? which term refers to the progressive ability of the body to adapt to the effects of a drug used at regular and frequent intervals? Clearly, show all working on Folder Leaves. I 1. The area of a trapezium, A, is given by the formula A = (a+b)2 h, where a and b are the lengths of the parallel sides and h is the perpendicular height. a) Apply the necessary operations to make side 'b' the subject. 3) radioactive uracil can be used to label all the pyrimidine residues in dna. explain how this occurs, thinking about pyrimidine synthetic pathways. Write a polynomial function with rational coefficients so that P(x)=0 p open x close equals 0 has the given roots.7 and 12 julia has 2/5 of the number of frogs rimma has. if rimma gives 1/2 of her frogs to julia, what will be the ratio of the number of frogs julia has. to the number of frogs rimma has? When heated, calcium carbonate, CaCO3(s) , decomposes to calcium oxide, CaO(s) , and carbon dioxide, CO2 . Using relevant data from your book's appendices, calculate the heat evolved or consumed when 15.0 g of calcium carbonate are decomposed. answer: kJ what is 24+70 equals what is the name of ch3cooc2h5 which provision of the patient protection and affordable care act allows a 30-year-old law student with type i diabetes to get affordable health insurance? when do most spontaneous abortions occur? multiple choice question. first trimester second trimester fourth trimester third trimester Cullumber Company reports the following information (in millions) during a recent year: net sales, $11,898.0; net earnings, $396.6; total assets, ending. $5,825.0, and total assets, beginning. $4,090.0.(a) Calculate the(1) return on assets. (2) asset turnover, and (3) profit margin.