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Luda [366]
3 years ago
6

HIJK is a triangle based pyramid. The base HIJ is an equilateral triangle with side 10cm. The volume of the pyramid is 300cm^3.

Calculate the perpendicular height, h, of the pyramid.
Mathematics
1 answer:
Rashid [163]3 years ago
3 0

Answer:

20.78 cm^3 to the nearest hundredth.

Step-by-step explanation:

Volume = 1/3 * a * h    where a = area of triangular base and h = the height.

The area of the triangle

= 1/2 * base * height

Its height = √(10^2-5^2)

= √75.

So its area = 1/2 * 10 * √75

= 5√75

So for the pyramid we have:

300 = 1/3 *  5√75 * h

h = 300 /  (1/3 *  5√75)

= 20.78 cm^3.

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Plz help i dont understand and if u can help i will mark brainliest!!​
Arlecino [84]

Answer:

Let fertilizer be F

and peat moss be P

since F is proportional to P

F = kP

where, k = constant of proportionality

k = F/P

putting in the values,

k = (3/4) /12

k = 3/4 * 1/12

k = 1/16

Therefore the constant of proportionality is 1/16.

4 0
3 years ago
Please Help! Multiple Choice!
Katyanochek1 [597]

Using the z-distribution, the p-value would be given as follows:

b) 0.0086.

<h3>What are the hypothesis tested?</h3>

At the null hypothesis we test if the means are equal, hence:

H_0: \mu_D - \mu_C = 0

At the alternative hypothesis, it is tested if they are different, hence:

H_1: \mu_D - \mu_C \neq 0

<h3>What are the mean and the standard error for the distribution of differences?</h3>

For each sample, they are given as follows:

  • \mu_D = 12, s_D = \frac{5.2}{\sqrt{73}} = 0.6086
  • \mu_C = 14, s_C = \frac{4.1}{\sqrt{81}} = 0.4556

Hence, for the distribution of differences, they are given by:

  • \overline{x} = 12 - 14 = -2.
  • s = \sqrt{0.6086^2 + 0.4556^2} = 0.76

<h3>What is the test statistic?</h3>

The test statistic is given by:

z = \frac{\overline{x} - \mu}{s}

In which \mu = 0 is the value tested at the null hypothesis.

Hence:

z = \frac{\overline{x} - \mu}{s}

z = \frac{-2 - 0}{0.76}

z = -2.63.

Using a z-distribution calculator, for a two-tailed test, with z = -2.63, the p-value is of 0.0086.

Hence option B is correct.

More can be learned about the z-distribution at brainly.com/question/13873630

#SPJ1

4 0
2 years ago
What is the twentieth term of the arithmetic sequence described by the<br> equation an= 3n - 10?
sergij07 [2.7K]

Answer:

The twentieth term is 50.

Step-by-step explanation:

The equation that describes the arithmetic sequence describes it's "general term", which means that all the numbers in that sequence must follow that equation. For instance, if we want to find the first term of the sequence we must make a = 1 and we have:

a1 = 3*1 - 10

a1 = -7

Therefore to find the twentieth term we need to make n equal to 20. This is done below:

a20 = 3*20 - 10

a20 = 60 - 10

a20 = 50

The twentieth term is 50.

8 0
3 years ago
Solve: | −2n | + 10 = −50<br><br><br> (Find Solution)
CaHeK987 [17]

Answer:

No Solution

Step-by-step explanation:

| −2n | + 10 = −50

Subtract 10 on both sides

|-2n|+10-10=-50-10

Simplify

|-2n=|=-60

No Solution

4 0
3 years ago
10 points pls answer!!!!
lutik1710 [3]

Answer:

add them togethr then subract the diffrece to get x

Step-by-step explanation:

7 0
2 years ago
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