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Dima020 [189]
3 years ago
14

A soccer dome shaped like a hemisphere has a volume of 450,000 m^3. What is the area of its field? Use 3.14 for pi

Mathematics
2 answers:
11Alexandr11 [23.1K]3 years ago
3 0
Maybe it’s uhh uhh 20 feet yuh
9966 [12]3 years ago
3 0

Answer:

Step-by-step explanation:

450,000=2/3(3.14)r

450,000 times 3/2=2/3(3.14)r times 3/2

675,000=3.14r

675,000/3.14=3.14r/3.14

about 214968.15287=r

So now we know r. We can use it to find the area of the circle

Pi times r squared

3.14 times 214968.15287 squared

area equals about 15573.44815

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Need help.<br>I 2x +1 I &lt; -4
anastassius [24]


the absolute value of a number is always positive. Therefore you cannot have an absolute value equal to a negative number.

the answer would be "no solution"

7 0
3 years ago
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Bonnie planted a garden in her backyard. Both the garden and the backyard are right triangles. The garden is proportional to the
Mandarinka [93]
You can find the area of Bonnue's backyard by comparing the hypotenuse of the garden to the hypotenuse of the back yard.  If the hypotenuse of the garden is 10 (with the side lengths being 6, 8 and 10 - the longest is always the hypotenuse) and the hypotenuse of the back yard is 30, this is a scale factor of 3 (3 times longer).

This means the other two sides would also be 3 times longer.

6 yards x 3 = 18
8 yards x 3 = 24

To find the area using these dimensions, you will use the formula for finding the area of a triangle.

A = 1/2bh
A = 1/2 x 18 x 24
A = 216 square yards

The area of the backyard is 216 square yards.
8 0
4 years ago
A commuter must pass through 5 traffic lights on her way to work and will have to stop at each one that is red. She estimates th
sergij07 [2.7K]

Answer:

(a) The mean or expected value of <em>X </em>is 2.2.

(b) The standard deviation of <em>X</em> is 1.3.

Step-by-step explanation:

Let <em>X</em> = number of times the traffic light is red when a commuter passes through the traffic lights.

The probability distribution of <em>X</em> id provided.

The formula to compute the mean or expected value of <em>X </em>is:

\mu=E(X)=\sum x.P(X=x)

The formula to compute the standard deviation of <em>X </em>is:

\sigma=\sqrt{E(X^{2})-(E(X))^{2}}

The formula of E (X²) is:

E(X^{2})=\sum x^{2}.P(X=x)

(a)

Compute the expected value of <em>X</em> as follows:

E(X)=\sum x.P(X=x)\\=(0\times0.06)+(1\times0.25)+(2\times0.35)+(3\times0.15)+(4\times0.13)+(5\times0.06)\\=2.22\\\approx2.2

Thus, the mean or expected value of <em>X </em>is 2.2.

(b)

Compute the value of E (X²) as follows:

E(X^{2})=\sum x^{2}.P(X=x)\\=(0^{2}\times0.06)+(1^{2}\times0.25)+(2^{2}\times0.35)+(3^{2}\times0.15)+(4^{2}\times0.13)+(5^{2}\times0.06)\\=6.58

Compute the standard deviation of <em>X</em> as follows:

\sigma=\sqrt{E(X^{2})-(E(X))^{2}}\\=\sqrt{6.58-(2.22)^{2}}\\=\sqrt{1.6516}\\=1.285\\\approx1.3

Thus, the standard deviation of <em>X</em> is 1.3.

4 0
4 years ago
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Find the simplified form of (-3)^-4<br><br> A. 12<br><br> B. -81<br><br> C. 1/81<br><br> D. -1/81
denpristay [2]
-3 ^-4  = 1/81

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4 0
3 years ago
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Find p(-4) and p(2) for the function p(x)=11x^5-11x^4-5x^2+15x-8
egoroff_w [7]

hi,

you must replace x by the number between parenthese.

I show you with the first one and let you do the second one

p(x) = 11x^5 -11x^4 - 5x^2 +15x-8

p(-4)  =   11 (-4)^5 - 11 (-4)^4 -5(-4)² +15(-4) -8

p(-4) =     11  ( -1024- 256) - 5*16 -60-8

p(-4) =   11 ( -1280) -80-60-8

p(-4)   =    - 14080 - 148

p(-4) =   - 14 228

7 0
3 years ago
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