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3 years ago

Question 1. Enter the ratio equivalent to sin(B)

Mathematics

1 answer:

Deffense [45]3 years ago

8 0

Answer:

The three questions about the given triangle has been answered below.

Step-by-step explanation:

We are given a right angled triangle whose sides are of length 20, 21 and 29.

<u>(1)</u> sin(B) = $\frac{side opposite to B}{hypotenuse}$

= $\frac{21}{29}$

= 0.72

<u>(2)</u> sin(A) = $\frac{20}{29}$

sin(A) = 0.689

∠CAB = $sin^{-1}(0.689)$

∠CAB = 43.551°

<u>(3)</u> We suppose that cosA < sinA and we haveto find which all angles will satisfy this condition.For this the angle A should be greater than 45°.

From the given options the angles that satisfy this are 55 , 66 and 75.

45 is not included as then sinA = cosA and that condition is not there.

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Find the inverse of the following function

KatRina [158]

f-¹(x)= $\frac{2-7x}{x+2}$

Answer:

Solution given:

f(x)= $\frac{-2x+2}{x+7}$

Let f(x)=y

y= $\frac{-2x+2}{x+7}$

Interchanging role of x and y

x= $\frac{-2y+2}{y+7}$

doing crisscrossed multiplication

x(y+7)=-2y+2

now solve it:

xy+7x=-2y+2

keep like terms in one side

xy+2y=2-7x

take common

y(x+2)=2-7x

make a value of y

y= $\frac{2-7x}{x+2}$

So,

f-¹(x)= $\frac{2-7x}{x+2}$

3 0

2 years ago

Read 2 more answers

Find the general indefinite integral. (use c for the constant of integration. )

Vlada [557]

The indefinite integral will be $\int (7x^2+8x-2)dx=\dfrac{7x^3}{3}+4x^2-2x+C)$

<h3 /><h3>what is indefinite integral?</h3>

When we integrate any function without the limits then it will be an indefinite integral.

General Formulas and Concepts:

Integration Rule [Reverse Power Rule]:

$\int x^ndx=\dfrac{x^{n+1}}{n+1}}+C$

Integration Property [Multiplied Constant]:

$\int cf(x)dx=c\int f(x)dx$

Integration Property [Addition/Subtraction]:

$\int [f(x)\pmg(x)]dx=\int f(x)dx\pm \intg(x)dx$

[Integral] Rewrite [Integration Property - Addition/Subtraction]:

$\int (7x^2+8x-2)dx=\int 7x^2dx+\int 8xdx -\int 2dx$

[Integrals] Rewrite [Integration Property - Multiplied Constant]:

$\int (7x^2+8x-2)dx=7 \int x^2dx+ 8 \int xdx -2\int dx$

[Integrals] Reverse Power Rule:

$\int (7x^2+8x-2)dx= 7(\dfrac{x^3}{3})+8(\dfrac{x^2}{2})-2x+C$

Simplify:

$\int (7x^2+8x-2)dx= \dfrac{7x^3}{3}+4x^2-2x+C$

So the indefinite integral will be $\int (7x^2+8x-2)dx= \dfrac{7x^3}{3}+4x^2-2x+C$

To know more about indefinite integral follow

brainly.com/question/27419605

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7 0

2 years ago

A black line is longer than a gray line. The gray line is longer than a white line. Is the black line shorter or longer than the

enot [183]

The gray line is longer than the white line.
The black line is longer than the gray line.

White    -------------------------

Gray     ------------------------------------------

Black    --------------------------------------------------------

Answer: The black line is longer than the white line.

4 0

3 years ago

Find the surface area of the cylinder. Round your answer to the nearest hundredth.

horsena [70]

Answer:

C. 795.45 in^2

Step-by-step explanation:

The formula for the surface area of a cylinder is ...

SA = 2πr^2 +2πrh = 2πr(r +h)

For r=6 and h=15.1, the surface area is ...

SA = 2π(6)(6 +15.1) = π(12)(21.1) = 253.2π

SA ≈ 795.45 . . . . square inches

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3 years ago

What figures must be inscribed in one another so that Cavalieri's principle can be applied to the volume of a sphere?

Anarel [89]

<span>right cone in a cylinder</span>

3 0

3 years ago

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