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3 years ago

14

In the simulation in the Let’s Review section, select tan on the right. Select radians on the left. Activate the Labels option.

Drag the red dot along the graph of the function at the bottom. What is the range of tanθ?
(-∞, ∞)
y > 0
[0, ∞)

1 answer:

Alchen [17]3 years ago

7 0

Answer:

2

Step-by-step explanation:

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The correct answer is 28

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The diagram shows a circular pond, of radius r metres, surrounded by a circular path.The circular path has a constant width of 1

Alenkasestr [34]

The formula for calculating the area of a circle is expressed as;

A = πr²

Area of the pond = πr²
Area of the path = Area of the path + pond - area of pond

Area of path = π(r+1.5)² - πr²

Since the area of the path is equal to the area of the pond, hence;

π(r+1.5)² - πr² = πr²

Add πr² to both sides

π(r+1.5)² - πr² + πr² = πr² + πr²

π(r+1.5)² = 2πr²

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Expand the parenthesis

r²+3r + 2.25 = 2r²

r²+3r + 2.25 - 2r² = 0

-r² + 3r + 2.25 = 0

r² - 3r - 2.25 = 0

Multiply through by 2

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<em>This proves the required equation</em>

<em />

Learn more on area of composite figures here: brainly.com/question/15981553

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3 years ago

butalik [34]

The answers to each of the given problems are;

1) Sum of two smallest integers = 23

2) 3x + 6

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<h3>How to find the sum of consecutive Integers?</h3>

1) We are told that sum of 4 consecutive integers is increased by 20 and equals 70. Thus, we have;

x + (x + 1) + (x + 2) + (x + 3) + 20 = 70

4x + 26 = 70

4x = 70 - 26

4x = 44

x = 44/4

x = 11

Thus, sum of two smallest integers = 11 + 11 + 1 = 23

2) Let the consecutive odd numbers be;

x, (x + 2) and (x + 4)

Sum of these consecutive odd numbers is;

x + x + 2 + x + 4 = 3x + 6

3) We are given the equation to find the acceleration as;

(v_final)² - (v_initial)² = 2ad

We are given;

v_final = 40 m/s

v_initial = 10 m/s

d = 100 m

Thus;

40² - 10² = 2a(100)

1500 = 200a

a = 1500/200

a = 7.5 m/s²

Read more about sum of integers at; brainly.com/question/17695139

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1 year ago

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Answer:

Hello,

in order to simplify, i have taken the inverses functions

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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