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3 years ago

A banana man is looking at a cool plane in the air . Match the values with their descriptions.

Mathematics

1 answer:

Svetlanka [38]3 years ago

6 0

Angle of elevation is the angle from the banana up to the plane, which is 23 degrees.

The distance from the banana to the plane is the angle line labeled x.

The distance from the plane to the ground is the vertical line labeled 2500m.

Nothing important would be j.

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Suppose integral [4th root(1/cos^2x - 1)]/sin(2x) dx = A<br>What is the value of the A^2?<br><br>

Alla [95]

$\large \mathbb{PROBLEM:}$

$\begin{array}{l} \textsf{Suppose }\displaystyle \sf \int \dfrac{\sqrt[4]{\frac{1}{\cos^2 x} - 1}}{\sin 2x}\ dx = A \\ \\ \textsf{What is the value of }\sf A^2? \end{array}$

$\large \mathbb{SOLUTION:}$

$\!\!\small \begin{array}{l} \displaystyle \sf A = \int \dfrac{\sqrt[4]{\frac{1}{\cos^2 x} - 1}}{\sin 2x}\ dx \\ \\ \textsf{Simplifying} \\ \\ \displaystyle \sf A = \int \dfrac{\sqrt[4]{\sec^2 x - 1}}{\sin 2x}\ dx \\ \\ \displaystyle \sf A = \int \dfrac{\sqrt[4]{\tan^2 x}}{\sin 2x}\ dx \\ \\ \displaystyle \sf A = \int \dfrac{\sqrt{\tan x}}{\sin 2x}\ dx \\ \\ \displaystyle \sf A = \int \dfrac{\sqrt{\tan x}}{\sin 2x}\cdot \dfrac{\sqrt{\tan x}}{\sqrt{\tan x}}\ dx \\ \\ \displaystyle \sf A = \int \dfrac{\tan x}{\sin 2x\ \sqrt{\tan x}}\ dx \\ \\ \displaystyle \sf A = \int \dfrac{\dfrac{\sin x}{\cos x}}{2\sin x \cos x \sqrt{\tan x}}\ dx\:\:\because {\scriptsize \begin{cases}\:\sf \tan x = \frac{\sin x}{\cos x} \\ \: \sf \sin 2x = 2\sin x \cos x \end{cases}} \\ \\ \displaystyle \sf A = \int \dfrac{\dfrac{1}{\cos^2 x}}{2\sqrt{\tan x}}\ dx \\ \\ \displaystyle \sf A = \int \dfrac{\sec^2 x}{2\sqrt{\tan x}}\ dx, \quad\begin{aligned}\sf let\ u &=\sf \tan x \\ \sf du &=\sf \sec^2 x\ dx \end{aligned} \\ \\ \textsf{The integral becomes} \\ \\ \displaystyle \sf A = \dfrac{1}{2}\int \dfrac{du}{\sqrt{u}} \\ \\ \sf A= \dfrac{1}{2}\cdot \dfrac{u^{-\frac{1}{2} + 1}}{-\frac{1}{2} + 1} + C = \sqrt{u} + C \\ \\ \sf A = \sqrt{\tan x} + C\ or\ \sqrt{|\tan x|} + C\textsf{ for restricted} \\ \qquad\qquad\qquad\qquad\qquad\qquad\quad \textsf{values of x} \\ \\ \therefore \boxed{\sf A^2 = (\sqrt{|\tan x|} + c)^2} \end{array}$

$\boxed{ \tt \red{C}arry \: \red{ O}n \: \red{L}earning} \: \underline{\tt{5/13/22}}$

4 0

2 years ago

A carpenter needs to cut a 5 foot, 8 inch piece of wood from an 8-foot board to make a repair to a door. How many inches of wood

erastovalidia [21]

Answer:

Step-by-step explanation:

1 foot = 12 inches

length of board in inches = 8 ft × (12 in)/ft = 96 in

length of cut in inches = 5 ft + 8 in = 5 ft × (12 in)/ft + 8 in = 60 in + 8 in = 68 in.

96 - 68 = 28 inches left

3 0

2 years ago

What is the slope of a line parallel to the line whose equation is 4x + 5y = -35.

saw5 [17]

Answer:

y = -4/5x + 5

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Step 1: Write equation in slope-intercept form

5y = -35 - 4x

y = -7 - 4/5x

Step 2: Write parallel line equation

y = -4/5x + 5

A parallel line is a line that has the same slope as the previous equation but a different y-intercept. They never intersect.

3 0

2 years ago

EASY MATH____________

WINSTONCH [101]

Perimeter of a square = 4s where is the length of one side.

Equation:

Area = s^2

169 = s^2

s = 13 inches

B. 13 INCHES

4 0

3 years ago

Read 2 more answers

Can someone please help asap thank you

Bumek [7]

Answer:

Step-by-step explanation:

.07x1 is .07, therefore tax rate

please give brainliest im desperate

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3 years ago