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Tatiana [17]
3 years ago
11

The figure below is made of two identical triangular prisms. What is the volume

Mathematics
1 answer:
igor_vitrenko [27]3 years ago
5 0
48 percent of the prisms
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Consuelo's living room is in the shape of a rectangle and has an area of 360 square feet. The width of the living room is 5/8 it
uranmaximum [27]
<h2>Therefore the length of the living room = 24 ft</h2>

Step-by-step explanation:

Given that , Consuelo's living room is in the shape of rectangle and has an area of 360 square feet and the width of the living room is \frac {5}{8}   its length

Let ,the length of the living room is = x ft

Then width =\frac {5}{8}x ft

Therefore the area of the living room =x \times \frac {5}{8}x ft^2

According to problem,

x\times \frac {5}{8}x = 360

⇔\frac{5}{8}x^2=360

⇔x^2 = \frac{360\times 8}{5}

⇔x^2 = 576

⇔x=\sqrt{576}

⇔x = 24

Therefore the length of the living room = 24 ft

8 0
3 years ago
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If x=-1, x^5+x+4+x^3+x
DedPeter [7]

Answer:

0

Step-by-step explanation:

yeah-ya.............. right?

8 0
2 years ago
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​It's believed that as many as 23​% of adults over 50 never graduated from high school. We wish to see if this percentage is the
laila [671]

Answer: 756

Step-by-step explanation:

Given : The proportion of adults over 50 never graduated from high school.  = 0.23

Margin of error : E=0.03

Significance level : \alpha=1-0.95=0.05

Critical value : z_{\alpha/2}=1.96

The formula to find the sample size is given by:_

n=p(1-p)(\dfrac{z_{\alpha/2}\ }{E})^2

i.e. n=(0.23)(0.77)(\dfrac{(1.96)}{0.03})^2=755.941511111approx756

Hence, the required minimum sample size = 756

4 0
3 years ago
Algebra Find the values for x and y in parallelogram ABCD. AE= 2x, EC=y+4, DE=x, EB=2y-1. AC and BD intersect at point E
erastova [34]

Answer:

x

=

y

=

A

E

=

2

x

=

E

C

=

y

+

4

=

D

E

=

x

=

E

B

=

2

y

−

1

A

C

=

B

D

=

E

=

Step-by-step explanation:

6 0
3 years ago
A farmer who has fixed amounts of land and capital finds that total product is 24 for the first worker hired, 32 when two worker
ruslelena [56]

Answer:

A. 8.

Step-by-step explanation:

The marginal product is the increase in output (units produced) resulting from employing one more worker. Therefore, the marginal product of the second worker (M2) is given by the difference between the total product with two workers and the total product with one worker.

M_2 =32-24\\M_2 =8

The answer is A. 8.

6 0
3 years ago
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