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3 years ago

Models were build using a scale of 1 in : 50 ft. Find the height of the model for a building that is actually 470ft. tall.

1 answer:

5 0

Proportion: a:b = c:d where ad = bc

a = 1 ; b = 50 ; c = x ; d = 470

1 inches : 50 feet = x inches : 470 feet
1* 470 = 50x
470/50 = x
9.4 = x

The model should be 9.4 inches high.

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Rewrite the expression as a sum of terms, where each term is in the form k\cdot a^nk⋅a

muminat

Answer:

$2a^{\frac{5}{2}}-4a^{-\frac{1}{2}}$

Step-by-step explanation:

It looks like you want to expand the expression ...

$\sqrt{a}\left(2a^2 -\dfrac{4}{a}\right)$

Use the distributive property and rules of exponents.

$=2a^{(\frac{1}{2}+2)}-4a^{(\frac{1}{2}-1)}\\\\=\boxed{2a^{\frac{5}{2}}-4a^{-\frac{1}{2}}}$

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The relevant rules of exponents are ...

√a = a^(1/2)

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3 years ago

If frequency of being late is .15 how often late in 100

koban [17]

0.15 * 100 = 15

Answer: 15 times in 100

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3 years ago

You go to a steakhouse for dinner and the meal cost $10.35. If you have a coupon for 10% off your meal, what is the bill for din

egoroff_w [7]

Answer: $9.32

Step-by-step explanation:

10.35 - 1.035 = 9.32

7 0

3 years ago

What is 8,663,943,526 rounded to the nearest hundred thousand?

Sloan [31]

8,663,900,000
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4 years ago

Use the diagram of the right triangle above and round your answer to the nearest hundredth.

Svetlanka [38]

Option a: $17.32 \ {m}$ is the length of b

Explanation:

The angle of B is $\angle B=60^{\circ}$ and $a=10 \ m$

We need to determine the length of b.

First, let us determine the angle of A.

Since, ABC is a triangle, then all the angles add up to 180°

Thus, we have,

$\angle A+\angle B+\angle C=180^{\circ}$

$\angle A+60^{\circ}+90^{\circ}=180^{\circ}$

$\angle A+150^{\circ}=180^{\circ}$

$\angle A=30^{\circ}$

Thus, the angle of A is $\angle A=30^{\circ}$

Now, we shall determine the length of b using the sine law formula.

The formula for sine law is given by,

$\frac{a}{\sin A}=\frac{b}{\sin B}$

where $a=10 \ m$ , $\angle A=30^{\circ}$ , $\angle B=60^{\circ}$

Thus, we have,

$\frac{10}{\sin 30}=\frac{b}{\sin 60}$

Simplifying, we get,

$\frac{10}{0.5}=\frac{b}{0.866}$

Multiplying both sides by 0.866, we get,

$\frac{10\times0.866}{0.5}=b$

Multiplying the numerator, we have,

$\frac{8.66}{0.5}=b$

Dividing, we get,

$17.32=b$

Thus, the length of b is $b=17.32 \ m$

Hence, Option a is the correct answer.

7 0

3 years ago