3 years ago

A

Mathematics

1 answer:

PtichkaEL [24]3 years ago

7 0

Answer:

this confusing

Step-by-step explanation:

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A locker door is 13 inches wide by 27 inches tall. A company will use a scale factor of 2.5 to change the dimensions

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Answer:67.5

Step-by-step explanation:The question asked the HEIGHT. So multiply the scale factor (2.5) and the inches tall (27).

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A continuous function graph shows unbroken lines or curves or part of a line or curve.

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This is very true for a function that is continuous.

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In a certain town, 20% of people commute to work by bicycle.

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80%

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4 years ago

Kamilah’s weight has tripled since her first birthday. If w represents the amount Kamilah weighed on her first birthday, write a

S_A_V [24]

Answer:

3*w

Step-by-step explanation:

Kamilah now weighs the triple of what she weighed on her first birthday. That means we need to multiply the first weight by 3. As the first weight is w, she now weighs 3*w.

Another possible expression is to sum 3 times w, that is w + w + w (it's equal to 3*w).

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3 years ago

A 10-foot ladder leans against a wall so that it is 6 feet high at the top. The ladder is moved so that the base of the ladder t

konstantin123 [22]

Answer:

The top of the ladder is now at 10 ft.

Step-by-step explanation:

At the start, we have a height H=6, a length L=10 and a base B, that has to be calculated by the Pythagorean theorem:

$B^2=L^2-H^2=10^2-6^2=100-36=64\\\\B=\sqrt{64}=8$

The base is moved twice the distance the height moves up.

We called this distance x, so we have:

$L^2=(H+x)^2+(B-2x)^2=H^2+2Hx+x^2+B^2-4Bx+4x^2\\\\L^2=(H^2+B^2)+5x^2+(2H-4B)x\\\\L^2=L^2+5x^2+(2H-4B)x\\\\0=5x^2+(2H-4B)x\\\\5x+(2H-4B)=0\\\\x=\dfrac{4B-2H}{5}=\dfrac{4*8-2*6}{5}=\dfrac{32-12}{5}=\dfrac{20}{5}=4$

The new height (H+x) is

$H'=H+x=6+4=10$

The base travels 2x=8, so the new base B' is 0.

This means that the ladder is all against the wall (L=H').

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3 years ago