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tester [92]
3 years ago
13

4. The distance from lan's home to the museum

Mathematics
1 answer:
Hitman42 [59]3 years ago
4 0

Answer:

no bc 2640 yards in feet is 7920

Step-by-step explanation:

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325 meters in 28 secs
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325 / 28 = ?

Step-by-step explanation:

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4 years ago
If f(x) = 3x^5 + 4x^4 + 5, then what is the remainder when f(x) is divided by<br> X + 3?
Musya8 [376]

Answer:

remainder: -400

Explanation:

\sf f(x) = 3x^5 + 4x^4 + 5

<u>divided </u><u>by x + 3</u>

  • x + 3 = 0
  • x = -3

<u>insert </u><u>x = -3 in the function</u>

\sf f(x) = 3(-3)^5 + 4(-3)^4 + 5

\sf f(-3) = -400

5 0
3 years ago
The length of a rectangular pool is to be four times its width and a sidewalk 6ft wide will surround the pool. If a total area o
natita [175]

Answer:

52 feet by 13 feet.

Step-by-step explanation:

Given:

The length of a rectangular pool is to be four times its width.

Sidewalk is 6 feet wide will surround the pool.

If a total area of 1600 square feet has been set aside for the area of the pool and the sidewalk.

Question asked:

What are the dimensions of the pool?

Solution:

Let width of a rectangular pool = x

Then the length of a rectangular pool will be = 4x

Area\ of \ rectnagle= length\times breadth

                              =x\times4x\\ \\ =4x^{2}

Combined length of pool and the sidewalk = length of pool + width of sidewalk + width of sidewalk

Combined length of pool and the sidewalk = 4x+6+6=4x+12

Similarly, Combined width of pool and the sidewalk = x+6+6=x+12

Combined area of pool and the sidewalk = 1600

Combined\ lengthh\times Combined\ r=breadth=1600\\ \\ (4x+12)(x+12)=1600\\ \\ 4x(x+12)+12(x+12)=1600\\ \\ 4x^{2} +48x+12x+144=1600\\ \\ 4x^{2} +60x+144=1600

Subtracting both sides by 144

4x^{2} +60x=1456\\ \\ 4x^{2} +60x-1456=0\\ \\ Taking\ 4\ as\ common\\ \\ x^{2} +15x-364=0\\ \\ x^{2} +28x-13x-364=0\\ \\ x(x+28)-13(x+28)=0\\ \\ x+28=0,x-13=0\\ \\ x=-28,x=13

Since dimensions can never be in negative, hence x=13

Width of a rectangular pool = x = 13 feet

The length of a rectangular pool will be = 4x = 4\times13=52\ feet

Therefore, the dimensions of the pool are 52 feet by 13 feet.

8 0
3 years ago
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