The area of a rectangular prism is 51 square feet. The base is 6 feet. What is it's height?

Two vertical posts stand side by side. One post is 8 feet tall while the other is 17 feet tall. If a 24 foot wire is stretched b

Fofino [41]

Answer:

22 1/4 feet

Step-by-step explanation:

you can sketch this problem to be a right triangle with a hypotenuse of 24 feet and one leg of 9 feet (17 - 8).

use Pythagorean Theorem to find the base side, which represents the distance between the posts

a² + 9² = 24²

a² + 81 = 576

a² = 576 - 81

a² = 495

a = $\sqrt{495}$

a = $\sqrt{9}$ · $\sqrt{55}$ = 3 $\sqrt{55}$ , which is approx 22.25

6 0

3 years ago

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Estimate the total percentage of complaints about parking difficulties and the location of the store. (nearest whole percent)

AysviL [449]

Answer:

Therefore the total Complains about parking difficulties=32.26%

Therefore the total Complains about the location of the store=25.81%

Step-by-step explanation:

Given ,

Complains about difficulty parking = 250

Complains about isolated location = 200

Complains about ruled sales clerks=150

Complains about too expensive=125

Complains about confusing layout= 50

Total complains = (250+200+150+125+50)

=775

Therefore the total Complains about parking difficulties

= $\frac{250}{775}\times 100$ %

=32.26%

Therefore the total Complains about the location of the store

$=\frac{200}{775}\times 100$ %

=25.81%

4 0

3 years ago

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Find the number set which satisfies each of the problems. If 7 is subtracted from the absolute value of the sum of a number and

iris [78.8K]

Answer:

x=4 or x= - 16

Step-by-step explanation:

|x+6|

Now subtract 7 which equals to 3.

|x+6|-7=3

|x+6|=10

Now remove the mode by adding plus minus sign in the front of 10.

x+6=±10

x+6=10 or x+6=-10

x=4 or x=-16

5 0

4 years ago

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Find an equation of the line that goes through the points (10,34) and (-1,10)

kotykmax [81]

Answer:

Given points are ( 10 ,34 ) and ( -1 , 10)

Step-by-step explanation:

The equation of line is given by 

first we can find slope (m) 

= (y2 - y1) / ( x2 - x1)

= 34-10/10+1

 =24/11

Now the equation is

y - y1 = m ( x - x1) 

y - 10 = 24/11 ( x +11)

11 ( y - 10 ) = 24 (x + 11)

11y - 110 = 24x + 264

24x + 264 +110-11y =0

24x - 11y + 374 = 0

which is the required equation 

3 0

3 years ago

Write two equivalent ratios 5 and 3

PilotLPTM [1.2K]

Answer:

Step-by-step explanation:

10:6

15:9

Ratios sort of work like fractions.

7 0

3 years ago