Find the base or height

Mathematics

1 answer:

Ilya [14]2 years ago

4 0

Answer:

Step-by-step explanation:

You might be interested in

A triangular pyramid has the same base and height as a triangular prism. The volume of the pyramid is 26 cubic centimeters. What

LUCKY_DIMON [66]

The formula for the volume of a triangular pyramid is:

V=1/3AH (where A=area of the base and H=height)

The formula for the volume of a triangular prism is:

V=AH (where A=area of the base and H=Height)

Since the base and the height are the same in this problem for both the prism and the pyramid, solving for the volume of the prism is simple.

Looking at the formulas, you'll see that the volume of the pyramid (assuming that both the height and the area of the base are the same) is 1/3 the volume of the prism.

V(pyramid)=1/3V(prism)

Now lets input the volume of the pyramid

26cm³=1/3 V(prism)
Divide both sides by 1/3
78cm³=V(prism)

Answer=78cm³

8 0

2 years ago

Read 2 more answers

Find the product of 0.34 and 0.02

dmitriy555 [2]

Answer:

<h2>The product is 0.68</h2>

Step-by-step explanation:

A product means we are multiplying. we are multiplying 0.34 and 0.02 which is 0.68

6 0

2 years ago

Read 2 more answers

A survey of 1 comma 558 randomly selected adults showed that 522 of them have heard of a new electronic reader. The accompanying

sineoko [7]

Answer with explanation:

Let p be the proportion of adults have heard of the new electronic reader.

Given claim : The accompanying technology display results from a test of the claim that 38% of adults have heard of the new electronic reader.

i.e. $p=0.38$

Then , the set of hypothesis will be :-

$H_0: p=0.38\\\\H_a:p\neq0.38$

Since, the alternative hypothesis is two tailed , so the test is two-tailed test.

Also, it is given that the sample size : $n=1558$

Number of adults showed that they have heard of a new electronic reader=522

So the sample proportion for adults have heard of the new electronic reader : $\hat{p}=\dfrac{522}{1558}\approx0.34$

The test statistic for proportion is given by :-

$z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}\\\\\\\Rightarrow\ z=\dfrac{0.34-0.38}{\sqrt{\dfrac{0.38(1-0.38)}{1558}}}\\\\\\\Rightarrow\ z=-3.25279036541\approx-3.25$