if a triangle has sides measuring 8 inches and 15 in and has a hypotenuse measuring 17 in what is the ratio in simplest form of the shorter leg to the hypotenuse​

Answer:D

Step-by-step explanation:

It’s D for sure

Answer:

A and D

Step-by-step explanation:

A. four and thirty-two thousandths. B (4 x 1) + ( 3 x 1/10) + ( 2 x 1/100). C. 4 ones + 3 tenths + 2 hundredths. D. 4 + 0.03 + 0.002

(These are the options for reference.) -->

So, let's look at A. --> four and thirty-two thousandths --> we immediately know and this is correct as 1 because it says 4, and thirty-two thousandths = 0.032 so 4 + 0.032 = 4.032 and thus, it is correct

B. --> (4x1) + (3x1/10) + (2x1/100) => 4 + 3/10 + 2/100 = 4.32 so B. is incorrect.

C. --> 4 ones + 3 tenths + 2 hundredths = same as above, 4.32 so C. is incorrect as well.

D. --> We know this has to be correct because the question says which of the following 2 not 1 have the same value as 4.032 and -->

thus, A and D are our answers.

Hope this helps!

Answer:

So we have (-1,3), (-2,2) and (-5,-1).

Step-by-step explanation:

So we need to find the equation of the line that is parallel to the blue line going through point P.

The slope of the blue line (count the rise/run) is 1/1=1.

Parallel lines have the same slope.  

So y=mx+b is the slope-intercept form where m is the slope and b is the y-intercept.

So since the blue line has slope 1 and parallel lines have the same slope then the line going through point P will have slope 1 too.

Point P is actually the y-intercept of the line going through P.

So the equation that is parallel to the blue line going through point P is y=1x+4. b was 4 because it was the y-intercept.

You can also just write y=1x+4 as y=x+4.

Testing the points:

(-4,2)?

Does y=x+4 for this point?  2=-4+4 which gives us 2=0 so no for this point.

(-1,3)?

Does y=x+4 for this point?  3=-1+4 which gives us 3=3 so yes for this point.

(-2,2)?

Does y=x+4 for this point?  2=-2+4 which gives us 2=2 so yes for this point.

(4,2)?

Does y=x+4 for this point?  2=4+4 which gives us 2=8 so no for this point.

(-5,-1)?

Does y=x+4 for this point?  -1=-5+4 which gives -1=-1 so yes for this point.

So we have (-1,3), (-2,2) and (-5,-1).

Answer: she needs histogram.

Answer: Brittney needs a Histogram.

Answer:

19 units

Step-by-step explanation:

In a parallelogram, opposite sides are congruent. So, we can set up a formula that looks like this: 3x - 8 = x + 10. When you solve for x, you'll get 9. 9 + 10 = 19 units

The length of the side TU of the parallelogram is 19 units long.

A parallelogram is a quadrilateral with opposite pair of sides parallel and equal.

In the question, we are given a parallelogram STUV.

The length of the side TU is given as x + 10.

The length of the side VS is given as 3x - 8.

As the sides, TU and VS are opposite to each other, and the quadrilateral STUV is a parallelogram, so they are equal.

∴ TU = SV

or, x + 10 = 3x - 8

or, x + 10 - 3x = 3x - 8 - 3x (Subtracting 3x from both the sides)

or, -2x + 10 = -8 (Simplifying)

or, -2x + 10 - 10 = -8 - 10 (Subtracting 10 from both sides)

or, -2x = -18 (Simplifying)

or, -2x/(-2) = -18/(-2) (Dividing both sides by -2)

or, x = 9 (Simplifying).

Now, TU = x + 10 = 9 + 10 = 19.

∴ The length of the side TU of the parallelogram is 19 units long.

Learn more about parallelograms at

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Answer:

16 tricycles

Step-by-step explanation:

First, let's make a chart:

Bicycles- x bicycles and 2x wheels

tricycles- y tricycles and 3x wheels

Four wheeled vehicles- 2 bikes (given), 8 wheels

Since the total amout of bikes is 40, that means that x+y+8=40

You can simplify that to x+y=38.

now, we're going to form another equations dealing with the number of wheels.

Since we know that four wheeled vehicles already have only 8 wheels, then that means 2x+3y=92

Solve the system of equations:

2x+3y=92

x+y=38

y will be 16

Step-by-step explanation:

Answer:

a.) k = 10

b.) x = 20

Step-by-step explanation:

Step 1: Plug in variables and calculate for k

2 = k/5

10 = k

Step 2: Plug in variables and calculate for x

0.5 = 10/x

0.5x = 10

x = 20

Answer: 48

Step-by-step explanation:

We have to write a system of equations:

The difference between two numbers is 29. Difference means one number (y) minus another number (x) equals 29.

y-x =29

If five times the smaller ( 5 times x , x is the smaller number because is the number to subtract) is subtracted from twice the larger, (2y)

The result will be one

2y-5x =1

Now, we have to multiply the first equation by 2, and subtract the second equation to the first one:

2y -2x = 58

-

2y-5x =1

__________

3x =57

Solve for x:

x =57/3 =19

Replacing the value of x on any equation:

y-x =29

y-19 =29

y = 29+19 = 48

48 (y)> 19(x)

Feel free to ask for more if needed or if you did not understand something.  

A common fraction is a fraction whose denominator is the same with another fraction.

[tex]$\sqrt{x} \div\sqrt{y}[/tex] as a common fraction is [tex]\sqrt \frac{x}{y}}[/tex]

The expression is given as:

[tex]$\sqrt{x} \div\sqrt{y}[/tex]

Express as fraction

[tex]$\sqrt{x} \div\sqrt{y} = \frac{\sqrt x}{\sqrt y}[/tex]

Rewrite as a common fraction

[tex]$\sqrt{x} \div\sqrt{y} = \sqrt \frac{x}{y}}[/tex]

Hence, [tex]$\sqrt{x} \div\sqrt{y}[/tex] as a common fraction is [tex]\sqrt \frac{x}{y}}[/tex]

Read more about common fractions at:

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Answer:

The correct option is C

Step-by-step explanation:

The given equation is:

y  ≥ 2x - 3

For x= 2

y = 2(2) - 3 = 1

For x=0

y = 2(0) - 3 = -3

WE have two point:

(2,1) and (0,-3)

Graph both points on the coordinate plane.

Join both points and extend the line to find the graph of the line y = 2x - 3

To find the area the represents y  ≥ 2x - 3, consider any point, suppose (0,0)

Substitute (0,0) into  y  ≥ 2x - 3

0 ≥ 2(0) - 3

0 ≥ -3

Hence the equation satisfies.

Which means the area which has the point (0 , 0) shows the region for the equation y  ≥ 2x - 3.

The graph is shown.

Answer:

C

Step-by-step explanation:

Standard form is f(x) = ax² + bx + c.

f(x) = -(x - 4)² + 2

= -(x² - 8x + 16) + 2

= -x² + 8x - 16 + 2

= -x² + 8x - 14

Hi,

the correct answer is C

This is the correct equation: f(x) = -x^2 + 8x - 14

XD

P.S. (on the image I sent the answer was B but on your test the correct one is C. The equation is still the same.)

Answer:

17

Step-by-step explanation:

the rise is the new minus the old.

9 - -8 = 9+8 = 17

Answer:

rise in temp= 17℃

Step-by-step explanation:

midnight= -8℃

noon= 9℃

9- (-8)= 17

rise in temp= 17℃

or you could just count the difference on your fingers.

-8, -7 ,-6........ 6, 7,8,9

Answer:

D

Step-by-step explanation:

12x + 6y = 24

Subtract 6y on both sides.

12x = 24 - 6y

Divide 12 into both sides.

x = 24/12 - 6/12y

x = 2 - 1/2y

The solution for x in terms of y is x = 2 - (1/2)y

We have,

To solve the equation 12x + 6y = 24 for x, we can isolate x on one side of the equation.

Starting with 12x + 6y = 24, we can subtract 6y from both sides:

12x + 6y - 6y = 24 - 6y

This simplifies to:

12x = 24 - 6y

Next, we divide both sides of the equation by 12 to solve for x:

(12x)/12 = (24 - 6y)/12

This gives us:

x = (24 - 6y)/12

x = 24/12 - 6y/12

x = 2 - (1/2)y

Therefore,

The solution for x in terms of y is x = 2 - (1/2)y

Learn more about equations here:

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Answer:

101.3 °

Step-by-step explanation:

(C x 9/5) + 32 = F

(38.5°C × 9/5) + 32 = F

101.3° = F

Answer:

Hi ,

Cube of a number :

_______________

For a given number x we define cube

of x = x × x × x , denoted by x^3.

A given Natural number is a perfect

Cube if it can be expressed as the

product of triplets of equal factors.

Now ,

Write given number as product of

prime .

8788 = 2 × 4394

= 2 × 2 × 2197

= 2 × 2 × 13 × 169

= 2 × 2 × 13 × 13 × 13

= 2 × 2 × ( 13 × 13 × 13 )

Here we have only triplet of equal

factors i.e 13

To make 8788 into perfect Cube we

have multiply with 2.

Now ,

2 × 8788 = ( 2 × 2 × 2 ) × ( 13 × 13 × 13 )

17576 = ( 2 × 13 )^3 = ( 26 )^3 perfect

Cube

I hope this will useful to you.

Answer:

A) The table shows a proportional relationship (as the number of pages increase the time is proportionally increasing as well)

D) The 11th page of notes takes longer than normal (too long time duration)           o((⊙﹏⊙))o.

Answer: 175

Step-by-step explanation:

Ok so remember PEMDAS (parentheses, exponents, multiplycation/division, addition/subtraction

so (3+4) and (22+3) are in perentheses so you must do those first: 3+4=7 and 22+3=25

ok so now you have (7)*(25) which equals 175

there u be go

Answer:

The orthocenter is the point of intersection of the three heights of a triangle.

The centroid is the point of intersection of the three medians.

The circumcenter is the point of intersection of the three perpendicular bisectors.

The incenter is the point of intersection of the three angle bisectors.

Step-by-step explanation:

Answer:

D. 6\sqrt{5}-4\sqrt{7}

Step-by-step explanation:

[tex]3\sqrt{5}-2\sqrt{7}+\sqrt{45}-\sqrt{28} \\3\sqrt{5}-2\sqrt{7}+\sqrt{9*5}-\sqrt{4*7}\\3\sqrt{5}-2\sqrt{7} +3\sqrt{5}-2\sqrt{7}\\ 6\sqrt{5}-4\sqrt{7}[/tex]

Answer:

The correct option is 4.

Step-by-step explanation:

Step-by-step explanation:

The slope intercept form of a line is

                 .... (1)

where, m is slope and b is y-intercept.

We need to find the equation of line whose slope is 4 and y-intercept is -3.

Substitute m=4 and b=-3 in equation (1), to find the equation of required line.

The equation of required line is y=4x-3.

Therefore the correct option is 4.

Answer:

V = 251.3 cm³

Step-by-step explanation:

Diameter  8 cm

Radius = 4 cm

Height = 5 cm

Volume of Cat Food contained by the tin can = [tex]\pi r^2 h[/tex]

Where r = 4 cm, h = 5 cm

V = (3.14)(4)²(5)

V = (3.14)(16)(5)

V = 251.3 cm³

Answer:

251.3 cm³

Step-by-step explanation:

The diameter is 8 cm

So the radius is 8/2 = 4 cm

The height is 5 cm

Volume of tin can:

[tex]\pi r^2 h[/tex]

r = 4 & h = 5

[tex]V =\pi (4)^2 (5)\\V = \pi (16)(5)\\V = 251.3[/tex]

Hey there! :)

Answer:

a = -8/3

Step-by-step explanation:

Given:

3 - 9a = 27

Subtract 3 from both sides:

3 - 3 -9a = 27 -3

-9a = 24

Divide both sides by -9:

-9a/(-9) = 24/(-9)

a = -24/9

Simplify the fraction:

a = -8/3

Answer:

Solution,

[tex]3 - 9a = 27 \\ or \: - 9a = 27 - 3 \\ or \: - 9a = 24 \\ or \: a = \frac{24}{ - 9} \\ a = - \frac{8}{3} [/tex]

Hope this helps..

Good luck on your assignment..

Answer: v = 3t^2, -e^-t ;

Speed = √ 9t^4 + (-e^-t)^2 ;

a(t) = 6t, e^-t

Step-by-step explanation:

Given the position function at time 't' for t greater than or equal to 0:

r(t) = (9,t^3, e^-t)

The Velocity of 'v' is the first derivative of r with respect to 't' :

d/dt(9) = 0

d/dt(t^3) = 3t^3-1 = 3t^2

y = (e^-t) =

Using chain rule :

Let u = -t

y = e^u ; dy/du = e^u

du/dt = -1 ;

Therefore dy/dt = dy/du * du/dt

dy/dt = -1 * e^u ; -e^u ; u = -t

dy/dt = -e^-t

Therefore,

v = 3t^2, -e^-t

The magnitude of velocity 'v ' = speed

Speed = √v1^2 + v2^2

Speed = √(3t^2)^2 + (-e^-t)^2

Speed = √ 9t^4 + (-e^-t)^2

Acceleration(a) = derivative of velocity

d/dt(3t^2) = 6t

d/dt (-e^-t) :

Using chain rule :

dy/dt = -e^-t

Let u = -t ; du/dt = -1

-e^u ; dy/du = -e^u

Therefore, dy/dt = -1 * -e^u

u = -t

dy/dt = e^-t

Therefore, acceleration:

a(t) = 6t, e^-t

Answer:

A

Step-by-step explanation:

AA stands for angle angle.

For the two triangles given being similar by AA, they should have two equal angles. Of course, once two angles are equal the third one will be equal as well, once the angles of a triangle always add up to 180º.

Therefore, the angle ∠NMO and ∠QPR should be equal.

Answer [tex]67\leq t\leq 87=15[/tex]

Step-by-step explanation: It's asking for the range so you have to subtract the the lowest temp with the highest temp. The highest temp is 82 and the lowest 67. 82-67 is 15 but they asked you to write it inequality so [tex]67\leq t \leq 87 = 15[/tex]

Answer:

C

Step-by-step explanation:

The slope is 0 because as x changes, y doesn't change.

Answer:

[tex]\boxed{\sf \ \ \ f^{-1}(-2)=-2\ \ \ }[/tex]

Step-by-step explanation:

hello

in the output check where you can see -2

and then follow the arrow to find the corresponding item in input which is -2

hope this helps

Answer:

5.65685424949

Step-by-step explanation:

Answer:

The answer is 5.7

Step-by-step explanation:

square root of 32

√32→ 32 isn't a perfect square so you would only be able to put it into mixed radical form and/or decimal

√(16×2) →break 32 into 2 products, one of which is a perfect square, being 16

√16•√2 → now square 16

4√2 → in mixed radical form  

4(1.414213) → multiply

5.65685424 →decimal form

Answer:

80%

Step-by-step explanation:

100/15=6 2/3

12*6 2/3 = 80

80 percent increase

Answer:

solution,

Old price (P1)=$15

New price(P2)=$27

percent increase:

[tex]( \frac{p2 - p1}{p1} ) \times 100 \: percent \\ = ( \frac{27 - 15}{15} ) \times 100 \: percent \\ = ( \frac{12}{15} ) \times 100 \: percent \\ = 80 \: percent[/tex]

Hope this helps...

Good luck on your assignment...

Answer:

B. SAS

Step-by-step explanation:

3/1= 2.25/075

The 2 sides are congruent and the angle between them is common

B. SAS is the answer