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3 years ago

2e = 2 Solve the equation.

Mathematics

2 answers:

Kipish [7]3 years ago

4 0

Answer:

e=1

Step-by-step explanation:

zheka24 [161]3 years ago

3 0

Answer:

e = 1

Step-by-step

i hope this helped have a great day!

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The figures below are made out of circles, semicircles, quarter circles, and a square. Find the area and the perimeter of each f

WITCHER [35]

Answer:

Part 1) $A=36(\pi-2)\ cm^2$

Part 2) $P=6(\pi+2\sqrt{2})\ cm$

Step-by-step explanation:

<u><em>The picture of the question in the attached figure</em></u>

Part 1) Find the area

we know that

The area of the shape is equal to the area of a quarter of circle minus the area of an isosceles right triangle

$A=\frac{1}{4}\pi r^{2}-\frac{1}{2}(b)(h)$

we have that the base and the height of triangle is equal to the radius of the circle

$r=12\ cm\\b=12\ cm\\h=12\ cm$

substitute

$A=\frac{1}{4}\pi (12)^{2}-\frac{1}{2}(12)(12)\\A=(36\pi-72)\ cm^2$

simplify

Factor 36

$A=36(\pi-2)\ cm^2$

Part 2) Find the perimeter

The perimeter of the figure is equal to the circumference of a quarter of circle plus the hypotenuse of the right triangle

The circumference of a quarter of circle is equal to

$C=\frac{1}{4}(2\pi r)=\frac{1}{2}\pi r$

substitute the given values

$C=\frac{1}{2}\pi (12)\\C=6\pi\ cm$

Applying the Pythagorean Theorem

The hypotenuse of right triangle is equal to

$AC=\sqrt{12^2+12^2}\\AC=\sqrt{288}\ cm$

simplify

$AC=12\sqrt{2}\ cm$

Find the perimeter

$P=(6\pi+12\sqrt{2})\ cm$

simplify

Factor 6

$P=6(\pi+2\sqrt{2})\ cm$

4 0

3 years ago

Which of the following is not a correct description of the graph of the function y = -2x - 7?

swat32

The graph of the function contains the points (0,-7), (1,-9), and (3,-1) is incorrect

it contains all the points except the last set...(3,-1)
y = -2x - 7
-1 = -2(3) - 7
-1 = -6-7
-1 = - 13 (incorrect)

7 0

3 years ago

What is (f+g)(3) for functions f(x)=2x+210 G(x)=2x+125

sashaice [31]

Answer:

347

Step-by-step explanation:

2(3) + 210 = 216

2(3) + 125 = 131

216+131 = 347

3 0

3 years ago

Read 2 more answers

Given that f(x) = 5x − 10 and g(x) = x + 3, solve for f(g(x)) when x = −1. (1 point)?

Viefleur [7K]

F(g(x)) means u solve g(x) first then you plug that value into f(x)
x = -1
g(-1) = -1 + 3 = 2
plug 2 into f(x)
f(2) = 5(2) - 10 = 0

4 0

3 years ago

Can someone help me please

NikAS [45]

Justin rides 550 kilometers
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justin rides 17 meter

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3 years ago