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yawa3891 [41]
2 years ago
9

This figure shows the nose cone of a rocket used for launching satellites. The nose cone houses the satellite until the satellit

e is placed in orbit. What is the volume of the nose cone?
45 cubic feet
60 cubic feet
90 cubic feet
180 cubic feet

Mathematics
2 answers:
Elena-2011 [213]2 years ago
7 0

see the attached figure to better understand the problem

we know that

The volume of the cone is equal to

V=\frac{1}{3} \pi r^{2} h

in this problem

r=\frac{6}{2} =3\ ft\\ \\ h=15\ ft

Substitute the values in the formula above

V=\frac{1}{3}* \pi* 3^{2}* 15\\ \\ V=45\pi \ ft^{3}

therefore

the answer is

The volume of the nose cone is 45\pi \ ft^{3}

Montano1993 [528]2 years ago
5 0
The formula to get the volume of a cone is
V = (1/3)πr²h
where V is the volume
r is the radius at the base
h is the height

No values are given but simple substitution should give the correct answer.
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In the diagram, MTD≅SLG. Which statement is true?
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Option C.LG≅TD

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we know that

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5 0
2 years ago
Read 2 more answers
We can calculate eee, the amount of euros that has the same value as ddd u.S. Dollars, using the equation e=\dfrac{17}{20}de= 20
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We are given eqaution: e=\frac{17}{20}d , where e the amount of euros and d is the value as U.S. Dollars.

We need to find number of euros for 1 U.S. Dollar.

Plugging d=1 in the given equation

We get

e=\frac{17}{20}(1)

On simplfying , we get

e=\frac{17}{20}

Dividing 17 by 20, we get 0.85.

Therefore, there would be 0.85 euro have the same value as 1 U.S. Dollar.

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One of your peers claims that boys do better in math classes than girls. Together you run two independent simple random samples
JulijaS [17]

Answer:

Step-by-step explanation:

Hello!

To test if boys are better in math classes than girls two random samples were taken:

Sample 1

X₁: score of a boy in calculus

n₁= 15

X[bar]₁= 82.3%

S₁= 5.6%

Sample 2

X₂: Score in the calculus of a girl

n₂= 12

X[bar]₂= 81.2%

S₂= 6.7%

To estimate per CI the difference between the mean percentage that boys obtained in calculus and the mean percentage that girls obtained in calculus, you need that both variables of interest come from normal populations.

To be able to use a pooled variance t-test you have to also assume that the population variances, although unknown, are equal.

Then you can calculate the interval as:

[(X[bar]_1-X[bar_2) ± t_{n_1+n_2-2;1-\alpha /2} * Sa*\sqrt{\frac{1}{n_1} +\frac{1}{n_2} }]

Sa= \sqrt{\frac{(n_1-1)S^2_1+(n_2-1)S^2_2}{n_1+n_2-2} } = \sqrt{\frac{14*(5.6^2)+11*(6.7^2)}{15+12-2} }= 6.108= 6.11

t_{n_1+n_2-2;1-\alpha /2}= t_{15+12-2;1-0.05}= t_{25;0.95}= 1.708

[(82.3-81.2) ± 1.708* (6.11*\sqrt{\frac{1}{15}+\frac{1}{12}  }]

[-2.94; 5.14]

Using a 90% confidence level you'd expect the interval [-2.94; 5.14] to contain the true value of the difference between the average percentage obtained in calculus by boys and the average percentage obtained in calculus by girls.

I hope this helps!

3 0
2 years ago
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