3 years ago

How do I solve this

Mathematics

1 answer:

Gnoma [55]3 years ago

7 0

Answer:

Step-by-step explanation:

I'm sorry forgot how to exactly solve it

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How to solve these two problems ？

puteri [66]

8) $\theta$ is -0.896 radians

9) length of arc is 41.91 cm

Solution:

Given that,

$tan\ \theta = \frac{-5}{4}$

$\theta$ is in quadrant 4

To find: $\theta$

From given,

$tan\ \theta = \frac{-5}{4}\\\\\theta = tan^{-1} \frac{-5}{4}\\\\\theta = tan^{-1} (-1.25)\\\\\theta = -51.34$

Thus value of $\theta$ is -51.34 degrees

Convert degrees to radians

$-51.34\ degree = -51.34 \times \frac{ \pi }{180}\ radian\\\\-51.34\ degree = -0.896\ radian$

Thus $\theta$ is -0.896 radians

From given,

radius = 15.4 cm

$\theta = \frac{13 \pi }{15}$

<em><u>The length of arc when angle in radians is:</u></em>

$arc\ length = r \times \theta\\\\arc\ length = 15.4 \times \frac{ 13 \pi }{15}\\\\arc\ length = 15.4 \times 2.721\\\\arc\ length = 41.91$

Thus length of arc is 41.91 cm

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Pepper Jackie filled up her 10-Gallon gas tank for $54.50. How much did the gas cost per gallon?

Andrews [41]

It cost $5.45 a gallon

just take 54.50 ÷ 10 and it gives you 5.45

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Marat540 [252]

Answer:

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Step-by-step explanation:

The graph extends along the positive and negative values of y without bounds.

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