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3 years ago

This figure consists of a rectangle and a quarter circle.

Mathematics

1 answer:

Fed [463]3 years ago

3 0

Hello!

First you have to find the length of the side under the quarter circle

20 - 11 = 9
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Next you have to find the circumference of the quarter circle

You use the equation to find the circumference of a circle and divide the answer by 4

The equation is $2 \pi r$

r is radius

Put in 3.14 for pi and the numbers you know

2 * 3.14 * 11 = 69.08

Divide this by 4

69.08 / 4 = 17.27
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Finally you add all the values you know

20 + 2 + 17.27 + 9 + 11 + 2 = 61.27cm
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The answer is 61.27cm

Hope this helps!

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I need this fast pls

Yakvenalex [24]

Answer:

Randy just added up the numbers on the numerator and denominator.

This is incorrect.

<u>Correct way of adding the fractions given below:</u>

7/8 + 9/15 = ⇒ Simplify the second equation, divide by 3)
7/8 + 3/5 =
5*7/5*8 + 8*3/8*5 = ⇒ Bring both fractions to common denominator of 40
35/40 + 24/40 = ⇒ Add up the numbers in the nominator
54/40 = ⇒ Simplify by dividing by 2
27/20 =
1 7/20 ⇒ Convert to mixed fraction

4 0

3 years ago

An individual's yearly after-tax income can be expressed as I=52g (1-t/100), where g is the weekly gross pay before taxes and t

Bumek [7]

$I=52g(1-\frac{t}{100})$

Solving for t:

Divide both sides by 52g:

$\frac{I}{52g}=1-\frac{t}{100}$

Multiply both sides by -1:

$\frac{t}{100}-1=-\frac{I}{52g}$

Add 1 to both sides:

$\frac{t}{100}=1-\frac{I}{52g}$

Multiply both sides by 100:

Answer:

$t=100(1-\frac{I}{52g})$

7 0

1 year ago

Juan solved the system of linear equations

dlinn [17]

Answer:

x =1

y = 3

Step-by-step explanation:

8x - 3y = -1 ------ * 2 part (a)

-5x +2y =1 ------ * 3 part (b)

16x -6y = -2 part (c)

-15x +6y = 3

x = 1

8(1) - 3y = -1 part (d)

8-3y =-1

-3y = -9

y =3

8 0

3 years ago

3 Select the correct answer. Shape 1 and shape 2 are plotted on a coordinate plane. Which statement about the shapes is true? A.

Dovator [93]

Answer:

i put C. but i don't know yet so if im wrong im srry

Step-by-step explanation:

3 0

3 years ago

18 - 24i write in trigonometric form

stiks02 [169]

$\boxed{18-24i=30(cos(5.36)+isin(5.36))}$

<h2>Explanation:</h2>

Unlike 0, we can write any complex number in the trigonometric form:

$z=r(cos\alpha+isin\alpha)$

We have the complex number:

$18-24i$

So $r$ can be found as:

$r=\sqrt{x^2+y^2} \\ \\ \\ Where: \\ \\ x=18 \\ \\ y=-24 \\ \\ r=\sqrt{18^2+(-24)^2} \\ \\ r=\sqrt{324+576} \\ \\ r=\sqrt{900} \\ \\ r=30$

Now for α:

$\alpha=arctan(\frac{y}{x}) \\ \\ Since \ the \ complex \ number \ lies \ on \ the \ fourth \ quadrant: \\ \\ \alpha=arctan(\frac{-24}{18})=-53.13^{\circ} \ or \ 360-53.13=306.87^{\circ}$

Finally:

$Convert \ into \ radian: \\ \\ 360^{\circ}\times \frac{\pi}{180}=5.36rad \\ \\ \\ Hence: \\ \\ \boxed{18-24i=30(cos(5.36)+isin(5.36))}$

<h2>Learn more:</h2>

Complex conjugate: brainly.com/question/2137496

#LearnWithBrainly

6 0

4 years ago