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3 years ago

Using the constant of proportionality, determine how much water will be in the bathtub after 2.5 minutes.

Mathematics

1 answer:

valkas [14]3 years ago

5 0

Answer:

$\boxed{41.25}$

Step-by-step explanation:

<em>Hey there!</em>

Well we know the constant of proportionality is 16.5 because on the table it states 1 minute is 16.5 gallons.

So we can set up the following,

W = 2.5*16.5

W = 41.25

<em>Hope this helps :)</em>

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The dashed triangle is the image of the solid triangle. The center of dilation is (-4, -4)

zhuklara [117]

Answer: The required scale factor of dilation is 3.

Step-by-step explanation: Given that the dashed triangle is the image of the solid triangle and the center of dilation is (-4, -4).

We are to find the scale factor that is used to create the dilation.

We know that the scale factor of dilation is given by

$S=\dfrac{\textup{length of a side of the dilated triangle}}{\textup{length of the corresponding side of the original triangle}}.$

From the graph, we note that

two vertices of the original triangle are (-4, -4) and (-4, -6).

And, the corresponding two vertices of the dilated triangle are (-4, -4)and (-4, 2).

So, the length of a side of the original triangle, as calculated using distance formula is

$d_1=\sqrt{(-4+4)^2+(-6+4)^2}=\sqrt{0+4}=2$

and the length of the corresponding side of the dilated triangle is

$d_2=\sqrt{(-4+4)^2+(2+4)^2}=\sqrt{0+36}=6$

Therefore, the scale factor of dilation is

$S=\dfrac{d_2}{d_1}=\dfrac{6}{2}=3.$

Thus, the required scale factor of dilation is 3.

5 0

3 years ago

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san4es73 [151]

Answer: My answer is A.

hope this helps

7 0

3 years ago

PLSS HELP write the precent as a fraction or mixed number in simplest form (reduce) 36%

Ivanshal [37]

Answer:

9/25

Step-by-step explanation:

36% is equal to 36/100

You can simplify it

36/2 = 18

100/2=50

18/2=9

50/2=25

That is as much as you can simplify it so 36% is equal to 9/25.

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3 years ago

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determine the value of , if possible. If the triangles are congruent, state which triangle congruence condition you used. If the

PilotLPTM [1.2K]

Answer:

"Can't be determined"

Step-by-step explanation:

From the triangles given in the picture,

Given:

m∠A = m∠C

m∠B = m∠D

But for the congruence of these triangles third condition is not given.

Therefore, congruence of these triangles can not be determined.

So the answer is "Can't be determined"

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3 years ago

What is the range of the function f(x)= square root of x-8+6

Shtirlitz [24]

Answer:

The range of the given function is [6, + ∞)

Step-by-step explanation:

It is assumed the function is:

$f(x)=\sqrt{x-8} +6$

We know the square root is non-negative, so:

x - 8 ≥ 0 therefore the function gets values

f(x) ≥ 0 + 6
f(x) ≥ 6

We can show this as:

f(x) ∈ [6, + ∞)

8 0

2 years ago