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Veseljchak [2.6K]
2 years ago
15

Helpppppppppppppppppppppppppp

Mathematics
1 answer:
Dahasolnce [82]2 years ago
3 0

Step-by-step explanation:

2\pi {r}^{2}  + 2\pi  rh

2(3.14) {(20)}^{2}  + 2(3.14)(20)(11)

6.28(400) + 6.28(220) \\ 2512 + 1381.6 = 3893.6 {mi}^{2}

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Find the value of pq - r/4 when p= -8 and q= -3 and r= 68
andrey2020 [161]

Answer:

7

Step-by-step explanation:

pq - r/4

(-8)(-3) - 68/4

-8 x -3 = 24 (2 negatives equal a positive)

24 - 68/4

68/4 = 17

24-17 = 7

6 0
3 years ago
Will a truck that is 10 feet wide carrying a load that reaches 12 feet above the ground clear the semielliptical arch on the one
beks73 [17]

Figure is missing, so i have attached it.

Answer:

it will clear the arch because the height of the archway of the bridge 5 feet from the center is approximately 12.76 ft

Step-by-step explanation:

The standard form of equation of an ellipse is;

x²/a² + y²/b² = 1

From the figure in the image attached, we can see that the radius is; a = 52/2 = 26 ft

While the value of b = 13 ft

Thus;

x²/26² + y²/13² = 1

x²/676 + y²/169 = 1

We want to find the height of the archway of the bridge 5 feet from the center.

Thus, we will plug in 5 for x to get;

5²/676 + y²/169 = 1

(25/676) + (y²/169) = 1

Multiply through by 676 to get;

25 + 4y² = 676

4y² = 676 - 25

y² = 651/4

y² = 162.75

y = 12.76 ft

Thus height of the truck is 12 ft and so it will clear the arch because the height of the archway of the bridge 5 feet from the center is approximately 12.76 ft

3 0
2 years ago
Four friends are sharing 6 cups of lemonade. If they share the lemonade equally, how many cups will each friend get?
Ivan

Answer:

1 1/2 cups

Step-by-step explanation:

3 0
2 years ago
Expand and simplify 4(2x +7) – 3(x + 5)
Vikentia [17]

Answer:

4\left(2x+7\right)-3\left(x+5\right)=5x+13

Step-by-step explanation:

Given the expression

4\left(2x+7\right)-3\left(x+5\right)

<u>Expand and simplify the expression</u>

4\left(2x+7\right)-3\left(x+5\right)

Expand  4(2x + 7) = 8x + 28                  

4\left(2x+7\right)-3\left(x+5\right)=8x+28-3\left(x+5\right)

Expand  -3(x + 5) = -3x - 15

                                 =8x+28-3x-15

Group like terms

                                  =8x-3x+28-15

Add similar elements:  8x - 3x = 5x

                                   =5x+28-15

Simplify

                                    =5x+13

Therefore, we conclude that:

4\left(2x+7\right)-3\left(x+5\right)=5x+13

6 0
3 years ago
When factored completely the expression p^4-81 is equivalent to
spayn [35]
   
\displaystyle\\&#10;p^4 - 81 =\\\\&#10; =p^4-3^4 =\\\\&#10;= \Big(p^2\Big)^2 - \Big(3^2\Big)^2 =\\\\&#10;=\Big(p^2+3^2\Big)\Big(p^2-3^2\Big)=\\\\&#10;=\boxed{\bf \Big(p^2+3^2\Big)\Big(p+3\Big)\Big(p-3\Big)}



7 0
3 years ago
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