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2 years ago

The rectangles below are similar in shape. How wide is the smaller rectangle?

Mathematics

1 answer:

Amanda [17]2 years ago

7 0

Answer:

$\huge\boxed{x=28\ ft}$

Step-by-step explanation:

If two rectangles are similar, then corresponding sides are in proportion.

Therefore we have the equation:

$\dfrac{x}{42}=\dfrac{36}{54}$

cross multiply

$54x=(42)(36)\\\\54x=1512$

divide both sides by 54

$\dfrac{54x}{54}=\dfrac{15212}{54}\\\\x=28$

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Please help! I’m in a test rn! If f(x) and g(x) are inverse functions of each other, which of the following statements is true?

White raven [17]

Answer:

D) $(g\cdot f)(x)=x$

Step-by-step explanation:

If two functions $f(x)$ and $g(x)$ are inverse of each other, then the following conditions must be true:

i. $(f\cdot g)(x)=x$

ii. $(g\cdot f)(x)=x$

Therefore, out of the four choices available, only option D matches the condition for inverse function to exist.

Therefore, $(g\cdot f)(x)=x$

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3 years ago

Which statements are true regarding the prism ?

DochEvi [55]

Answer:

Step-by-step explanation:The prism has 9 edges; the bases of the prism are triangles; and the prism has 5 faces.

Step-by-step explanation:

The bases of a prism are the faces that are parallel. In this prism, the only faces that are parallel are the two triangles. This means the bases are triangles.

In addition to the two parallel bases, there is a are three faces that join the sides of the bases. This makes a total of 2+3 = 5 faces.

The edges are where the faces meet. There are 3 edges around each base; this is 6. There are also 3 edges connecting the lateral faces; this makes 6+3 = 9 edges.

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3 years ago

If f(x)=x-7 and g(x)=x^3, what is G(f(x))?

lesya692 [45]

Replace the 'x' in the formula for g(x) by f(x):-

g(f(x)) = (x-7)^3

Its D

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3 years ago

Read 2 more answers

Help with graphing!

Irina18 [472]

Hi I’ll help you again:

Put these three points:
(-1 , 3)
(0 , 5.5)
(1 , 8)

That should do it!

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