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Ostrovityanka [42]
2 years ago
9

The scale factor from a small triangle ABC to a large triangle XYZ is 5. How many times larger will the perimeter of triangle XY

Z be than
the area of triangle ABC?

Mathematics
1 answer:
Ierofanga [76]2 years ago
4 0

Answer:

Answer below :)

Step-by-step explanation:

Hi there!

Question 4 - the answer will be 5. Since the scale factor is 5, we would (hypothetically) multiply the area by 5 to get the new area of XYZ, so area XYZ is 5 times the area of ABC.

Question 5 - A.

First we multiply 45 by 12 to find the amount in inches. This is 540. Now, we divide that by 6 to get 90. This is our scale factor in inches, but the answers only show the scale in feet, so we have to convert. Divide 90 by 12 to get 7.5.

I hope this helps!

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givi [52]
The function given is a composite function. Let's work from the outside in:
y=(ln(sinh(2x)))

First step:
\frac{d}{dx}[y]= \frac{d}{dx}[ln(sinh(2x))]

Now, let's work it out:
\frac{dy}{dx} = \frac{1}{sinh(2x) } *   \frac{d}{dx}[sinh(2x)]

Next step:
\frac{dy}{dx} = \frac{1}{sinh(2x) } * cosh(2x) *  \frac{d}{dx}[2x]

Next step:
\frac{dy}{dx} = \frac{1}{sinh(2x) } * cosh(2x) *2

Simplify:
\frac{dy}{dx} = \frac{2cosh(2x)}{sinh(2x) }

Simplify further:
\frac{dy}{dx} = 2 (\frac{cosh(2x)}{sinh(2x)})

Remember that:
{\frac{cosh(x)}{sinh(x)} = coth(x)

So, your final answer is:
\boxed{ \frac{dy}{dx} = 2coth(2x) }

So, your answer is C. Hope I could help you!
8 0
3 years ago
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Step-by-step explanation:

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Step-by-step explanation:

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brian irons \dfrac29 9 2 ​ start fraction, 2, divided by, 9, end fraction of his shirt in 3\dfrac353 5 3 ​ 3, start fraction, 3,
julsineya [31]

At this rate, Brian plans 10/162 of his shirt.

The speed for which Brian iron the shirts is given by

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Cross multiply to get

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Multiply both sides by 5/18 to solve for x.

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At this rate, Brian plans 10/162 of his shirt.

learn more Cross multiply :brainly.in/question/34341065

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