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3 years ago

Just need the answer.

Mathematics

1 answer:

andreev551 [17]3 years ago

5 0

Broooooo what is this my head hurts

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A pyramid has a square base with sides of length s. The height of the pyramid is equal to - of the length of a side on the base.

Vera_Pavlovna [14]

<h3><u>Question:</u></h3>

A pyramid has a square base with sides of length s. The height of the pyramid is equal to 1/2 of the length of a side on the base. Which formula represents the volume of the pyramid?

<h3><u>Answer:</u></h3>

<em><u>The formula represents the volume of the pyramid is:</u></em>

$V=\frac{1}{6}s^3$

<h3><u>Solution:</u></h3>

<em><u>The volume of square pyramid is given by formula:</u></em>

$V = \frac{1}{3} a^2h$

Where, "h" is the height of pyramid

"a" is the length of side of base

Here given that, pyramid has a square base with sides of length s

Therefore,

a = s

The height of the pyramid is equal to 1/2 of the length of a side on the base

$h = \frac{1}{2} \times s\\\\h = \frac{s}{2}$

<em><u>Thus the volume of pyramid becomes:</u></em>

$V = \frac{1}{3} \times s^2 \times \frac{s}{2}\\\\V = \frac{s^3}{6}$

$\boxed{V=\frac{1}{6}s^3}$

Thus the formula represents the volume of the pyramid is $\frac{s^3}{6}$

5 0

3 years ago

Which expression is equivalent to -5(k + 3)?

lesantik [10]

Answer:

ubvuugvgbihijniphubhovuv

Step-by-step explanation:

4 0

2 years ago

A researchers wants to determine the mean weight of avocados grown in Southern California. The population from which the sample

natka813 [3]

Answer: (0.465, 5.535)

Step-by-step explanation:

Formula to calculate the confidence interval (<em>when population standard deviation is unknown</em>) is given by :-

$\overline{x}\pm t_{\alpha/2} \dfrac{s}{\sqrt{n}}$

, where $\overline{x}$ = sample mean.

s= sample standard deviation.

n= Sample size.

$t_{\alpha/2}$ = critical value

By considering the given information , we have

$\overline{x}=6$

s=0.75

n= 9

Significance level = $\alpha=0.1$ [1-0.90=0.1]

By using students' t distribution -table , the critical value for 95% confidence level :

$t_{\alpha/2 , n-1}=t_{0.1/2,\ 8}=1.86$

[Note: degree of freedom = n-1]

Now, the 90% confidence interval for the true mean weight of these Southern California avocados will be :

$6\pm (1.86) \dfrac{0.75}{\sqrt{9}}$

$6\pm (1.86) \dfrac{0.75}{3}$

$6\pm (1.86) 0.25$

$6\pm 0.465=(6-0.465,\ 6+0.465)=(0.465,\ 5.535)$

Hence, the required confidence interval =(0.465, 5.535)

4 0

2 years ago

Tell whether the blue figure is a reflection of the red figure.

valina [46]

Answer: Yes it is a reflection

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

Harper brought $45 to the bowling alley. She spent $25 on bowling and plans to spend the rest of the money playing arcade games.

sammy [17]

Answer:

45-25=20 If you do 20 divided by 0.25 you will get your answer.

3 0

3 years ago