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Marysya12 [62]
3 years ago
7

Can someone help me with Volume pyramids..​

Mathematics
1 answer:
Minchanka [31]3 years ago
4 0

Answer:

\large\boxed{V=\dfrac{125}{3}\ cm^3=41\dfrac{2}{3}\ cm^3}

Step-by-step explanation:

The formula of a volume of a pyramid:

V=\dfrac{1}{3}BH

<em>B</em><em> - area of a base</em>

<em>H</em><em> - height</em>

We have

B=5\cdot5=25\ cm^2

H=5\ cm

Substitute:

V=\dfrac{1}{3}(25)(5)=\dfrac{125}{3}=41\dfrac{2}{3}\ cm^3

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Answer:

4x= 40

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5 0
2 years ago
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The longer leg of a right triangle is 4 more than the short leg. The hypotenuse is eight less than the sum of the 2 legs.
Crazy boy [7]

Answer:

SteLet a = short leg of the right triangle, b = the longer leg, and c = the hypotenuse.

The longer leg of a right triangle is 4inches longer than the shorter leg: b = a + 4

The hypotenuse is 8inches longer than the shorter leg:  c = a + 8

 

Use the Pythagorean Theorem:

 

a2 + b2 = c2

a2 + (a+4)2 = (a+8)2

a2 + a2 + 8a + 16 = a2 + 16a + 64

a2 - 8a - 48 = 0

 

Factors to:

 

(a-12)(a+4) = 0

a = 12, -4

 

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Shorter Leg = 12 inches

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6 0
3 years ago
Find the value of this expression if x = -6.<br> x^2-3/x+3<br> Enter the correct answer.
Amanda [17]

Answer:

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Step-by-step explanation:

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2 years ago
A researcher records the amount of time (in minutes) that parent child pairs spend on social networking sites to test whether th
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Answer:

(a) A matched pair design is used to perform the test.

(b) Each sample is of size 30.

(c) The null hypothesis is rejected.

(d) The effect size of the test is medium.

Step-by-step explanation:

A statistical experiment is performed to determine whether the amount of time (in minutes) that parent-child pairs spend on social networking sites to test show any generational differences.

<u>Given</u>:

MD = -42 minutes

t₍₂₉₎ = 4.021

p < 0.05

d = 0.49

The hypothesis is:

<em>H₀</em>: There is no difference between the means, i.e. <em>μ₁</em> = <em>μ₂</em>.

<em>Hₐ</em>: There is a significant difference between the means, i.e. <em>μ₁</em> ≠ <em>μ₂</em>.

(a)

A matched pair design is used to perform the test.

In a matched pair design the participant of the two groups are related in some way. For example, the same sample is tested before and after applying the treatment.

In this case the matched are pairs are of children and their parents. And the treatment is the amount of time spent on social networking sites.

(b)

The degrees of freedom of a matched pair design is:

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n = 30

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(c)

The <em>p</em>-value of the test statistic is < 0.05.

If the <em>p</em>-value is less than the significance level <em>α </em>(say, 0.05) then the null hypothesis is rejected and vise-versa.

Since <em>p</em> < 0.05 the null hypothesis is rejected concluding that there is a significant difference between the amount of time spent on social networking sites by parents and children.

(d)

The estimated value of Cohen's d is, <em>d</em> = 0.49.

A Cohen's d value between the range 0.50 to 0.80 is considered as medium.

Thus, the effect size of the test is medium.

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I think the answer is 144 minutes

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