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LiRa [457]
3 years ago
8

I need help finding the shaded region

Mathematics
2 answers:
dimulka [17.4K]3 years ago
6 0
Area of the whole rectangle = 14 x 34 = 476 unit²

Area of the two semicircle = 2  x (1/2 π (7)²) = 153.94 unit²

Area of the shaded region = 476 - 153.94  = 322.06 unit²

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Answer: Area of the shaded region is 322.06 unit².
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soldi70 [24.7K]3 years ago
3 0
First you would find the area of the rectangle; 34 • 14 = 476. Then you find the area of the semicircles. To make things easier you can put them together to make a circle and use the formula pi • r^2. So the equation would be set up as 3.14 • 7^2. I used 7 because the diameter is 14 and the radius is half of that. So the answer to that is 153.86. I’m not sure if you can round but in this case I won’t. So you would then subtract; 476 - 153.86 making the answer 322.14 units^2
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The length of a rectangle is one foot more than twice its width if the area of the rectangle is 300 ft^2 find the dimensions of
umka21 [38]
Let's say the length is L, and the width is W
L is one foot more than 2W, so L=1+2W
the area of the rectangle: A=L*W=300
replace L with 1+2W: (1+2W)*W=300 =>2W^2+W-300=0
solve the quadratic equation: (W-12)(2W+25)=0
W=12 or W=-12.5 (impossible)
so the width is 12, and the length is L=1+2*12=25

please refer to this website for how to factor a quadratic equation
http://www.purplemath.com/modules/factquad.htm

7 0
3 years ago
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N is between A and X. AN = 2x + 1, NX = 3x, and AX = 21. what is AN?
Allisa [31]

Answer:

AN = 9

Step-by-step explanation:

so we can imagine this in a line like:

A---------------N---------------X

Step 1 : solve for x

AX=21 (our total)

because we know that AN+NX together makes AX, we put that into an equation

<u>AN + NX = AX </u>

(2x+1) + (3x) = 21

2x + 1 + 3x = 21  <-- <em>subtract 1 from both sides</em>

2x + 3x = 20  <-- <em>add 2x +3x </em>

5x = 20   <-- <em>divide 5 from both sides</em>

<u>x = 4</u>

Step 2 : input x into AN

AN = 2x + 1  <-- <em>input 4 for x</em>

AN = 2(4) + 1  <-- <em>simplify from there</em>

<u><em>AN = 9</em></u>

<u><em /></u>

3 0
3 years ago
Write the five-number summary of the following set of data: 5, 7, 8, 10, 10, 11, 13, 15, 16, 20?
Mkey [24]

Answer: Q1 10 Q216 Q3 8

Step-by-step explanation:

BECAUSE I THIK THAT IS THE ANSWER

6 0
3 years ago
The average daily volume of a computer stock in 2011 was μ=35.1 million​ shares, according to a reliable source. A stock analyst
alexandr1967 [171]

Answer:

The 95% confidence interval is ( 27.126 , 34.674)

Step-by-step explanation:

Given

The t critical value at 0.05 level = 2.023 for the df = 39

Confidence interval = 95%

Mean  

\bar{x} - t * \frac{s}{\sqrt{n} } < \mu < \bar{x} + t * \frac{s}{\sqrt{n} }

Substituting the given values we get -

\30.9 - 2.023 * \frac{11.8}{\sqrt{40} } < \mu < \30.9 + 2.023 * \frac{11.8}{\sqrt{40} }\\27.126 < \mu < 34.674

Hence, the 95% confidence interval is

( 27.126 , 34.674)

4 0
3 years ago
Sasha is tracking the results of the water balloon contest. She wants to determine how high Maggie’s balloon is when it is direc
arsen [322]

Answer:

Maggie's ballon is 12 high.

Step-by-step explanation:

We are asked to find the y-value, and the x-value is given:

Plug the values in to solve for y.

y = -(2)^2 + 17(2) - 42 y

= -(4) + 34 - 42 y

= -4 + 34 - 42 y

= -12

The negative sign tells the direction. It is negative because the ballon is in the opposite direction.


4 0
4 years ago
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