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3 years ago

5

Ted is making trail mix for the party. He mixes 1 1/2 cups of nuts, 1/4 cup of raisins, and 1/4 cups of pretzels. How many cups

of pretzels does Ted need to make 15 cups of trail mix?

1 answer:

goldenfox [79]3 years ago

4 0

Answer:

13 more cups of trail mix or 13 1/4 cups

Step-by-step explanation:

1 1/2 (nuts) + 1/4(raisins) + 1/4(pretzels)=2 cups of trail mix

15-2=13

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4a + 5 = 3a - 21 + 2a
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Mom buys a rectangular rug with an area of 7 1/6 square meters. The length of the rug is 3 1/3 meters. What is the width of the

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Answer:

2 3/20 m

Step-by-step explanation:

The area is the product of the length and width

The area = 7 1/6 m² = 43/6 m²
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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.

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