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1 year ago

8

The number of hours needed to complete a trip, h, varies inversely with the driving speed, s. A trip can be completed in 5 hours

at a speed of 60 miles per hour. Find the equation that represents this relationship. (this is 'Solve inverse variation problems')

1 answer:

makkiz [27]1 year ago

4 0

Answer:

h = 300/s

Step-by-step explanation:

h and s vary inversely:

h = k/s

When s = 60, h = 5:

5 = k/60

k = 300

h = 300/s

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Multiple 7/9 to the sum of 8 3/7 and 5 11/14

Brums [2.3K]

$\frac{7}{9} \times (8 \frac{3}{7} + 5 \frac{11}{14}) = \\$

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$\frac{7}{9} \times (13 \frac{17}{14}) = \\$

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$\frac{7}{9} \times ( \frac{14 \times 3 + 3}{14}) = \\$

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2 years ago

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If cos Θ = square root 2 over 2 and 3 pi over 2 < Θ < 2π, what are the values of sin Θ and tan Θ?

KIM [24]

Answer:

The answer is

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

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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

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

substitute

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Step 2

Find the value of $tan(\theta)$

$tan(\theta)=\frac{sin(\theta)}{cos(\theta)}$

we have

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

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substitute

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

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Step-by-step explanation:

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