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3 years ago

291.87 irrational or rational

1 answer:

4 0

291.87 is rational since the last (decimal) numbers aren't repeating.
If it was repeating (291.877777...) it would be irrational.

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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

2 years ago

Jayce goes out for a walk. He walks 5/4 miles from home. He walks back 1/2 mile before meeting up with his friend Macy. Write an

GarryVolchara [31]

$+ \frac{5}{4} - \frac{1}{2} = \frac{1}{4}$
Hope this helps. - M

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2 years ago

Rob coloured 1/4 of a rectangle .what is another way to name 1/4?

mixas84 [53]

another way to name 1/4 is a quarter because 1/4 of 100 is 25 %, so that's why it is called a quarter.

hopefully this helps you :)

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2 years ago

What are the two representations of the conversion factor used to convert between inches and feet? Select all that apply.

ipn [44]

B and C are the same thing and they would be the two representations of the conversion that shows 12 inches is equivalent to 1 foot, so B and C are your answers

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2 years ago

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Stella [2.4K]

Answer:

i forgo

Step-by-step explanation:

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2 years ago