A rectangular pyramid is sliced so the cross section is perpendicular to its base but does not pass through its vertex. What is the shape of the cross section? trapezoid triangle rectangle square

Answer:

r = 14

Step-by-step explanation:

We need to divide the equation by 13 so that we get just n one one side without any coefficients. Doing so we get r = 182 / 13 = 14.

Answer:

r = 14

Step-by-step explanation:

Well to find r we need to get it by itself and to do that we get rid of 13.

And to get rid of 14 we do 13r/13 and 182/13.

So 13r / 13 is r and 182/13 is 14.

So r = 14.

Answer:

33.0693394

Step-by-step explanation:

1 klio is 2.20462262,just mulipily by 15.

Answer:

Step-by-step explanation:

We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

H0: µ = 305

For the alternative hypothesis,

H1: µ > 305

This is a right tailed test

Since the population standard deviation is given, z score would be determined from the normal distribution table. The formula is

z = (x - µ)/(σ/√n)

Where

x = sample mean

µ = population mean

σ = population standard deviation

n = number of samples

From the information given,

µ = 305

x = 306.2

σ = 3.57

n = 55

z = (306.2 - 305)/(3.57/√55) = 2.49

Test statistic = 2.49

The calculated test statistic is 2.49 for the right tail and - 2.49 for the left tail

Since α = 0.05, the critical value is determined from the normal distribution table.

For the left, α/2 = 0.05/2 = 0.025

The z score for an area to the left of 0.025 is - 1.96

For the right, α/2 = 1 - 0.025 = 0.975

The z score for an area to the right of 0.975 is 1.96

In order to reject the null hypothesis, the test statistic must be smaller than - 1.96 or greater than 1.96

Since - 2.49 < - 1.96 and 2.49 > 1.96, we would reject the null hypothesis.

Therefore, at 5% level of significance, there is sufficient evidence to conclude that the average depth has increased.

Answer:

$4.25

Step-by-step explanation:

We can create a proportion to find how much 25 oz will cost:

[tex]\frac{2.79}{16.4}[/tex] = [tex]\frac{x}{25}[/tex]

We can cross multiply to find x.

16.4x = 69.75

x = 4.25

So, this means 25 ounces of cereal will be $4.25

Answer:

Work done = 0 J

Step-by-step explanation:

work done= ∫ F. dr

                   = [tex]\int\limits^2_0 {x} \, dx[/tex] +  [tex]\int\limits^2_2 {x} \, dx[/tex]  + [tex]\int\limits^0_2 {x} \, dx[/tex]  + [tex]\int\limits^0_0 {x} \, dx[/tex]  +  [tex]\int\limits^0_0 {y} \, dy[/tex]  + [tex]\int\limits^5_0 {y} \, dy[/tex]  + [tex]\int\limits^5_5 {y} \, dy[/tex]  + [tex]\int\limits^0_5 {y} \, dy[/tex] + [tex]\int\limits^0_0 {z} \, dz[/tex]  + [tex]\int\limits^1_0 {z} \, dz[/tex]  + [tex]\int\limits^1_1 {z} \, dz[/tex]  + [tex]\int\limits^0_1 {z} \, dz[/tex]

Work done= x²/2 + y²/2 + z²/2

Applying integral limits for entire pathway

Work done= 2 + 0 -2 + 0 + 0+ 25/2 - 25/2 + 0 + 1/2 + 0 - 1/2

Work done = 0 J

Answer:

A= 20x

B= 15n

C= 15x+ 9

D= a + 15

E= 9x + 3y

F= 10w + 10z

Step-by-step explanation:

Answer:  C) Perimeter = 46.28

Step-by-step explanation:

The lengths of the sides on the bottom half of the shape are given as :

left = 10, bottom = 20, right = 10 = 40.

Need to find the perimeter of the semicircle at the top of the shape.

Perimeter of a circle is the Circumference = 2πr

So the perimeter of a semicircle = πr

                                                             = 3.14(2)

                                                             = 6.28

Add up the lengths of the left, bottom, right, and top: 40 + 6.28 = 46.28

Since there is only one option for Perimeter = 46.28, there is no need to solve for the Area.

Answer: B) 30 degrees

Step-by-step explanation:

Look at this in a series of equations.  The supplement of an angle(x) is 180 - x.  The complement of an angle(x) is 90 - x.  Thus the supplement of an angle(180 -x) is 30 degrees larger than twice its complement(90 - x).  Thus, 180 - x = 30 + 2(90 - x)

180 - x = 30 + 180 - 2x

180 - x = 210 - 2x

x = 30

Answer: B) 57 degrees

Step-by-step explanation:

4(90-x) = 180 - x + 9

360 - 4x = 180 - x + 9

360 - 4x = 189 - x

360 = 189 + 3x

171 = 3x

57 = x

Hope it helps <3

(If it does, please mark brainliest, so close to next rank :) )

Answer:

(2, 6)

Step-by-step explanation:

The solution will be where the two lines intersect. From the graph, that point is (2, 6).

Answer:

Step-by-step explanation:

The answer is 56.

Answer:

The tree house is 8 feet off the ground, or 96 inches up because (8)(12) = 96. Each knot needs 2 extra inches, so the expression for the length of rope needed is 96 + 2n. If n = 8, then Peter will need 96 + 2(8) = 112 inches of rope.

Step-by-step explanation:

edge

Answer:

{2 pi/3}x units

Step-by-step explanation:

i got it right on edg

Answer: Option B

{2 pi/3}x units

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

A monomial is an expression that contains one term.

An example can be 45ab.

There can be more than one variable.

Answer:

This is not always true.

Step-by-step explanation:

By definition, a monomial is an algebraic expression containing one term. Thus, the expression 3xy contains only one term but 2 variables.

Answer:

  B)  112°

Step-by-step explanation:

After the double reflection the point is effectively rotated by an amount that is double the angle between the lines of reflection:

  2·56° = 112°

_____

In the attached, lines l and m are separated by 56°, as required by the problem statement.

Answer:

f = -14

Step-by-step explanation:

given:

4 − (–5f) = –66

4 + 5f = -66   ( subtract 4 from both sides)

5f = -66 - 4

5f = -70  (divide both sides by 5)

f = (-70) / 5

f = -14

Answer:

See steps below on how to obtain the final solution

[tex]x=2\\y=0[/tex]

using Gauss elimination

Step-by-step explanation:

Let's write this system with the equations swapped since we want the largest value for the x dependence in the top row:

[tex]5x-y=10\\-3x+4y=-6[/tex]

Now let's scale the first equation by dividing it by 5 (the leading coefficient for x):

[tex]x-\frac{1}{5} y=2\\-3x+4y=-6[/tex]

now multiply row 1 by 3 and combine with row 2 :

[tex]3\,x-\frac{3}{5} y=6\\-3x+4y=-6\\ \\0+\frac{17}{5} y=0[/tex]

now replace the second row by this combination:

[tex]x-\frac{1}{5} y=2\\0+\frac{17}{5} y=0[/tex]

Now multiply the second row by 5/17:

[tex]x-\frac{1}{5} y=2\\0+} y=0[/tex]

multiply the bottom row by 1/5 and combine with the first row to eliminate the term in y:

[tex]x-\frac{1}{5} y=2\\0+\frac{1}{5} y=0\\ \\x-0=2[/tex]

Now we have the answer to the system:

[tex]x=2\\y=0[/tex]

Answer:

The answer is 150

Step-by-step explanation:

I think what you mean with the numbers between the "I's" is absolute value. Any number is just that number, so the absolute value of -6, is 6. The absolute value of 24 is 24. That means it's simply 137+13, which is 150.

Answer:

Not reject null hypothesis since the p value is greater than 0.05

Step-by-step explanation:

We have the following:

z = (x ^ -m) / (sd / n ^ (1/2))

Let m be the mean that is 8, sd the standard deviation that is 0.6, n the sample size that is 32 and x the value to evaluate that is 8.2, replacing:

z = (8.2-8) / (0.6 / 32 ^ (1/2)) = 1.89

P (x> 8.2) = P (z> 1.89)  

P (x> 8.2) = 1 - P (z <1.89)

We look for this value in the attached table of z and we have to:

P (x> 215) = 1 - 0.9713 (attached table)

P (x> 215) = 0.0287

since this is a two tailed test, the area of 0.0287 must be doubled the p value

the p value = 0.05794

Therefore, the decision is to not reject null hypothesis since the p value is greater than 0.05

Given: An urn contains 11 balls, 3 white, 3 red, and 5 blue balls.

You win $1 for each red ball you select and lose a $1 for each white ball you select.

Let X be the number of times you win.

The total number of ways to select 2 balls (order does not matter) =

The number of ways so that two balls are white (and [tex] X=-2):^3C_2=3 [/tex]

[tex]P(X=-2)=\dfrac{3}{55}[/tex]

The number of ways so that two balls are red (and [tex] X=2):^3C_2=3 [/tex]

[tex]P(X=2)=\dfrac{3}{55}[/tex]

The number of ways so that one ball is red, one is white (and [tex] X=0):^3C_1\times^3C_1=9 [/tex]

The number of ways so that two balls are blue (and [tex] X=0 [/tex] ): [tex] ^5C_2=(5 \cdot 4) / 2=10 [/tex]

i.e. [tex]P(X=0)=\dfrac{10+9}{55}=\dfrac{19}{55}[/tex]

The number of ways so that one ball is blue, one is white (and [tex] X=-1 [/tex] ): [tex] ^5C_1\times^3C_1=15 [/tex]

[tex]P(X=-1)=\dfrac{15}{55} =\dfrac{3}{11}[/tex]

The number of ways so that one ball is blue, one is red (and [tex] X=1 [/tex] ): [tex] ^5C_1\times^3C_1=15 [/tex]

[tex]P(X=1)=\dfrac{15}{55} =\dfrac{3}{11}[/tex]

Thus, the probability mass function (p.m.f.) of X would be ( in attachment) :

Answer:

f(x)=-x+11

Step-by-step explanation:

Answer:

monthly income=$900

the monthly income was multipled by 2

so, real income was, $900/2

=$ 450

so, $450×2=$900...

The real income is $400.

The term multiplication refers to the product of two or more than two numbers.

Let us assume that the real income is x.

We have to multiply the real income by 2 to get the monthly income of $900.

This implies that [tex]x\times 2=\$900[/tex],

Solving the above expression, we will get

[tex]x\times 2=\$900\\x=\dfrac{900}{2} \\x=400[/tex]

So, the real income is $400.

Learn more about expression here-https://brainly.com/question/14083225

#SPJ2

Answer:

The answer is below

Step-by-step explanation:

They would be written like this:

Arithmetic Progression:

Explicit formula

Tn = a + (n-1) * d

Recursive formula

Tn = Tn-1 + d

Where a is the first term, d is the common differance and n is the number of terms.

Geometric Progression:

Explicit formula

Tn = a * r ^ (n-1)

Recursive formula

Tn = Tn-1 * r

Where r is common ratio

Hey there! :)

Answer:

$3600.

Step-by-step explanation:

If the wife received $6000 which is a quarter of the money, solve for the total amount of the fortune:

1/4x = 6000

Multiply both sides by 4:

x = $24000

We can begin by subtracting the wife's amount from the total:

24000 - 6000 = $18000

He has 3 sons and 4 daughters. Let 'x' represent the amount the daughters received, and '2x' the amount the sons received.

18000 = 3(2x) + 4(x)

Distribute and combine the terms:

18000 = 6x + 4x

18000 = 10x

Divide both sides by 10:

18000/10 = 10x/10

x = $1800. This is the amount that each daughter receives. Since the sons receive '2x':

2(1800) = $3600.

Answer:

He have 3 sons, 4 daughters and his wife.

His wife got $6000 from his fortune which is 1/4th of his fortune.

So.. 1/4x=$6000

Multiply both by 4, 1/4 multiply by 4 is 4/4=1,

So.. 1x=$24000

Now subtract the wife's share from the fortune

$24000-$6000=$18000

His have 3 sons and 4 daughters left, and his each son got twice more than each daughter

So... 18000=3(2x) +4(x)

18000 =6x +4x

18000=10x

x=18000÷10

=$1800 which is for each daughter

his each son got twice as much as each daughter

So.. 2 multiply by $1800

which is $3600.

so each son got $3600

If you are still not sure then add all the shares together

3(3600)+ 4(1800)+ 6000

=10800 +7200+ 6000

=$24000.

THERE YOU HAVE IT, THE ANSWER IS $3600

NGL even I didn't now but I got it from the answer above

So all the credit goes to the person who answered before me

Answer:

≈ 201 c m ^2

Explanation:

The area of a circle is given by formula:

π r ^2

π  has a constant value of  3.14

And the radius of the circle is , half the diameter =  d /2 = 16 /2 = 8 c m  (assuming the unit to be in cm)

The area  = π r ^2 = 3.14 × ( 8 ) ^2 c m ^2

= 3.14 × ( 64

) = 200.96 c m ^2

≈ 201 c m ^2

Answer:

GOOGLE :)

equation:

y=mx+b

m= slope (how steep the line is(negative is \ positive is /))

b= y intercept (where it is on the vertical line(up and down line))

step by step

1. locate y intercept and plotthe point

2.from that point use slop to find second point and plot

Answer:

height of the balloon = 6.32 km

Step-by-step explanation:

The question wants us to find the height of the balloon .

They are observing the balloon from two tracking stations on the ground.  The tracking stations are 6 km apart . From Dominic point of view the hair balloon is at an angle of elevation of 72° and from Adriana point of view the elevation is 58° . The illustration forms a triangle containing 2 right angles with a similar height.

To find the height we must find the hypotenuse of one of the right angle triangle. WE are given 2 angle and a side of 6 km. The third angle is 180 - 72 - 58 = 50°.

Using sin rule

6/sin 50° = b/sin 72°

cross multiply

6 sin 72° = b sin 50°

divide both sides by sin 50°

b = 6 sin 72°/sin 50°

b = 6 × 0.95105651629 /0.76604444311

b = 5.70633909777 /0.76604444311

b = 7.44909665372

b ≈ 7.45 km

The height can be found since we know the hypotenuse of one side of one of the right angle triangle.

sin 58° = opposite/hypotenuse

sin 58° = h/7.45

cross multiply

h = 7.45 × sin 58°

h = 7.45 × 0.84804809615

h = 6.31795831637

h ≈ 6.32 km

Answer:

The interior angle measure of a convex decagon is 144.

Step-by-step explanation:

The sum of the interior angle formula for a convex polygon is (n-2)180

where n is the number of sides.

A decagon has 10 sides.

10-2 = 8

8 times 180 = 1440

A decagon has 10 sides-10 angles.

To find the measure of each angle divide by 10.

1440/10=144

The interior angle measure of a convex decagon is 144.

Answer:

It is not possible for the student to receive an A grade in the class.

It is possible for the student to receive a B grade in the class.

Step-by-step explanation:

We are given that in the DBE 122 class, there are 350 possible points. These points come from 5 homework sets that are worth 10 points each and 3 exams that are worth 100 points each.

A student has received homework scores of 7, 8, 7, 5, and 8, and the first two exam scores are 81 and 80.

Firstly, we will calculate how many points have been scored by the student.

Number of possible points = 350

The points scored by the student in homework = 7 + 8 + 7 + 5 + 8 = 35 points.

The scores of the student on the two exams = 81 + 80 = 161 points

So, the total points scored by the students = 35 + 161 = 196 points.

As it is given in the question that if the grade percentage is 0.9 or higher then the student will get an A, i.e;

If the total possible points are 350 points; [tex]90\% \text{ of } 350 = \frac{90}{100}\times 350 = 315 \text{ points}[/tex]

This means that the student must have to score 315 points to get an A grade.

Till the second exam, the total points scored by the students are 196 points. If the student scored full 100 marks in the third exam, then the total points scored by the student will be = 196 + 100 = 296 points.

Since 296 < 315, this means that it is not possible for the student to receive an A in the class.

Also, it is given in the question that if the grade percentage is between 0.8 and 0.9 the student will get a B, i.e, the student must obtain a minimum of 80% to get B grade.

If the total possible points are 350 points; [tex]80\% \text{ of } 350 = \frac{80}{100}\times 350 = 280 \text{ points}[/tex]

This means that the student must have to score a minimum of 280 points to get a B grade.

Till the second exam, the total points scored by the students are 196 points. If the student scored full 100 marks in the third exam, then the total points scored by the student will be = 196 + 100 = 296 points.

Since 296 > 280, this means that it is possible for the student to receive a B grade in the class.

Answer:

17+m=34

Step-by-step explanation:

Nina had 17 marbles in a bag + the x amount of marbles that her mom gives her.

so 17+x=34

(x is the variable that I chose however it could be any variable, so it would also mean the same thing as 17+m=34)

Hope this helped!

Answer:

17 + m = 34.

Step-by-step explanation:

Nina had 17 marbles;

Mother put a handful of marbles, let's say m.

Now Nina has 34 marbles.

34 marbles is [=] 17 marbles Nina had before + m from her mother.

17 + m = 34 will be the right equation.

Answer:

1.5 g/cm³

Step-by-step explanation:

Density is g/cm³.  This means that you have divide the mass by the volume.

(150 g)/(100 cm³) = 1.5 g/cm³

The density of the apple is 1.5 g/cm³.

Answer:

[tex] \boxed{\sf Density = 1.5 g/cm^3} [/tex]

Given:

Mass (m) = 150 g

Volume (V) = 100 cm³

To Find:

Density in g/cm³

Step-by-step explanation:

[tex]\sf Density = \frac{Mass (m)}{Volume (V)} \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{15 \cancel{0}}{10 \cancel{0}} \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{15}{10} \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 1.5 \: g/cm^3 [/tex]