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Sveta_85 [38]
4 years ago
5

Find the area of the region that is NOT shaded.

Mathematics
2 answers:
sammy [17]4 years ago
8 0
The answer is 122ft2
Keith_Richards [23]4 years ago
4 0

Answer:

122 ft²

Step-by-step explanation:

Total Area of the figure=Area of larger rectangle

                                      =14×15 sq. ft.

                                      = 210 sq. ft.

Area of shaded region=(15-4)×(14-6) sq. ft.

                                    = 11×8 sq. ft.

                                   = 88 sq. ft.

Hence, Area of the region not shaded

= Total area of figure-Area of shaded region

= 210-88

= 122  ft²                            

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The radius of a sphere is 6 units. Find the volume of the sphere. Write your answer in terms of pi
lara [203]

Answer:

V = 288 pi

Step-by-step explanation:

V=4/3 pi r^3

r = 6                                  Substitute

V = 4/3 * pi * 6 * 6 * 6       Divide 3 into one of the sixs leaving 2

V = 4 pi * 2 * 6 * 6            Combine

V = 288 pi

7 0
3 years ago
Find the solution to the equation:<br> f(x)=x^2-4x+3 <br> Please show work!
Vedmedyk [2.9K]

Answer:

  • two solutions

x = 1, 3

Explanation:

\sf f(x)=x^2-4x+3

\rightarrow \sf x^2-4x+3=0

\rightarrow \sf x^2-3x-x+3=0

\rightarrow \sf x(x-3)-1(x-3)=0

\rightarrow \sf (x-1)(x-3)=0

\rightarrow \sf x-1=0, \ x-3=0

\rightarrow \sf x=1, \ x=3

Thus, there are two solutions and the values are <u>1</u> and <u>3</u>

3 0
2 years ago
Read 2 more answers
15. You want to design an experiment using 800 marbles and you want six different colors-blue, red,
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blue, red,

green, yellow, purple, and pink. You also do not want more than two colors to have the same

What is probability?

Probability is the branch of mathematics concerning numerical descriptions of how probably an event is to do, or how likely it's that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty.( note 1)( 1)( 2) The advanced the probability of an event, the more likely it's that the event will do. A simple illustration is the tossing of a fair( unprejudiced) coin. Since the coin is fair, the two issues(" heads" and" tails") are both inversely probable; the probability of" heads" equals the probability of" tails"; and since no other issues are possible, the probability of either" heads" or" tails" is1/2( which could also be written as0.5 or 50).

To learn more about probability from the given link:

brainly.com/question/11234923

#SPJ9

7 0
2 years ago
What is <br> 1. (1-1/4) x 4<br> 2. 2- 1/4 x4 +4<br> 3. 8 + 10 x 1/2
tia_tia [17]
The answer is number 3
5 0
3 years ago
Read 2 more answers
Help me ):
slavikrds [6]
For the carpet:

Given:

Area = x^2 + x - 20 ft^2
Length = x+ 5 ft

As a carpet is rectangular, the area is defined as the product of the length and the width. To obtain an expression of the carpet's width, the area is to be divided by the length, which is shown below:

         __x_-_4___x + 5|x^2 + x - 20         x^2 + 5x         --------          -4x - 20          -4x - 20             --------                    0

Therefore, the expression of width = x - 4.

Applying the value of x = 20 to obtain the measurements of the carpet, we obtain the following:

Width = x - 4 = 20 - 4 = 16ft
Length = x+ 5 = 20 + 5 = 25ft.

Therefore, the carpet is 25ft x 16ft.

For the wall:

The same principles apply to the wall as it is also assumed to be rectangular.

Given:
Area = <span>x^2 + 17x + 30 ft^2
Width = x + 2

To obtain the expression for the wall's length, Area is to be divided by the Width, which is shown below:

         __x_+_15______x + 2|x^2 + 17x + 30         x^2 + 2x          --------                  15x + 30                  15x + 30                   ---------                             0

Therefore, the expression for the wall's length is x + 15.

Applying the value of x = 20 to obtain the wall's dimensions:

Length = x + 15 = 20 + 15 = 35ft.
Width = x + 2 = 20 + 2 = 22ft.

Therefore the wall has measurements of 35ft x 22ft.</span>
8 0
4 years ago
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