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2 years ago

Find the angle, in radians, in the figure below if S = 8 and r = 6.

Mathematics

1 answer:

babymother [125]2 years ago

7 0

Answer:

Value of theta Ф = 1.33 radians

Step-by-step explanation:

We are given :

S= 8

r = 6

We need to find angle Ф

The formula used is: S=rФ

Finding theta Ф by putting values in formula:

$S=r\theta\\\theta=\frac{S}{r}\\ \theta=\frac{8}{6}\\\theta=1.33$

So, value of theta Ф = 1.33 radians

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sveticcg [70]

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Step-by-step explanation:

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3 years ago

Evaluate the definite integral. <br> 1 x4(1 + 2x5)5 dx.

Nata [24]

Answer:

Step-by-step explanation:

Given the definite integral $\int\limits {\dfrac{x^4}{(1-2x^5)^5} } \, dx$ , we to evaluate it. Using integration by substitution method.

Let u = 1-2x⁵ ...1

du/dx = -10x⁴

dx = du/-10x⁴.... 2

Substitute equation 1 and 2 into the integral function and evaluate the resulting integral as shown;

$= \int\limits {\dfrac{x^4}{u^5} } \, \dfrac{du}{-10x^4}$

$= \dfrac{-1}{10} \int\limits {\dfrac{du}{u^5} } \\\\= \dfrac{-1}{10} \int\limits {{u^{-5}du } \\= \dfrac{-1}{10} [{\frac{u^{-5+1}}{-5+1}] \\\\= \dfrac{-1}{10} ({\frac{u^{-4}}{-4})\\\\$

$= \dfrac{u^{-4}}{40} \\\\\\= \dfrac{1}{40u^4} +C$

substitute u = 1-2x⁵ into the result

$= \dfrac{1}{40(1-2x^5)^4} +C$

Hence $\int\limits {\dfrac{x^4}{(1-2x^5)^5} } \, dx$ $= \dfrac{1}{40(1-2x^5)^4} +C$

5 0

3 years ago

Heelp me im struggling

olga nikolaevna [1]

Answer:

b. -30

Step-by-step explanation:

the reason why it is B is because the operation in front of the number that stands alone without being a constant number that increases (or decreases) like the number 2, it has an x next to it which means that the number 2 is going to increase at a constant rate.

<em>hope it helps:)</em>

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3 years ago

6b-9=-87 what is the answer

maw [93]

Answer:

Answer is below

Step-by-step explanation:

Add 9 to both sides.

$6b-9+9=-87+9\\6b=-78$