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GalinKa [24]
2 years ago
14

A bridge connecting two cities separated by a lake has a length of 5.651 mi.

Mathematics
1 answer:
Vlada [557]2 years ago
7 0

Answer:

The equivalent of 5.651 mi is 9945.76  yards

Step-by-step explanation:

Given:

Length of lake = 5.651 mi

Required:

Length of bridge in yards

From table of facts;

1 mile = 1760 yards

This implies that

5.651 miles will be:5.651 * 1760 yards

5.651 * 1760 yards = 9945.76  yards

5.651 * 1760 yards = 9945.8  yards (Aproximated)

Hence, the equivalent of 5.651 mi is 9945.76  yards

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Answer:

The answer is

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Step-by-step explanation:

we know that

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In this problem we have

cos(\theta)=\frac{\sqrt{2}}{2}

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so

The angle \theta belong to the third or fourth quadrant

The value of sin(\theta) is negative

Step 1

Find the value of  sin(\theta)

Remember

sin^{2}(\theta)+cos^{2}(\theta)=1

we have

cos(\theta)=\frac{\sqrt{2}}{2}

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sin^{2}(\theta)=1-\frac{1}{2}

sin^{2}(\theta)=\frac{1}{2}

sin(\theta)=-\frac{\sqrt{2}}{2} ------> remember that the value is negative

Step 2

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sin(\theta)=-\frac{\sqrt{2}}{2}

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substitute

tan(\theta)=\frac{-\frac{\sqrt{2}}{2}}{\frac{\sqrt{2}}{2}}

tan(\theta)=-1

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A student estimates the weight of astronauts on the moon by multiplying their weight by the decimal 0.16666....what fraction can
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Let x = 1.66666... ....(1)

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Answer:

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