All categories

3 years ago

Which equation should be used to find the volume of the figure?

Mathematics

1 answer:

kherson [118]3 years ago

8 0

Answer:

The first one

Step-by-step explanation:

The figure shown is a rectangular pyramid

The volume of a rectangular pyramid can be calculated using the formula

$V=\frac{1}{3} lwh$

where l = length of base, w = width of base and h = height

We have a given length of 6 in, a given width of 4 in and a given height of 8 in

That being said, we plug in the given values into the formula

$V=\frac{1}{3} (6)(4)(8)$

This equation matches A therefore A is the answer

You might be interested in

C<br> On Wednesday they made $5.50 How much does Zara get?<br><br> Please help?

Natalija [7]

Answer

Zara gets $5.50

Step-by-step explanation:

7 0

2 years ago

In a random sample of 200 Americans, 51% said they favor building more nuclear power plants. In a random sample of 150 French, 4

Varvara68 [4.7K]

Answer:

Yes, there is enough evidence to say the proportions are the same.

Step-by-step explanation:

Null hypothesis: The proportions are the same.

Alternate hypothesis: The proportions are not the same.

Data given:

p1 = 51% = 0.51

n1 = 200

p2 = 48% = 0.48

n2 = 150

pooled proportion (p) = (n1p1 + n2p2) ÷ (n1 + n2) = (200×0.51 + 150×0.48) ÷ (200 + 150) = 174 ÷ 350 = 0.497

Test statistic (z) = (p1 - p2) ÷ sqrt[p(1-p)(1/n1 + 1/n2) = (0.51 - 0.48) ÷ sqrt[0.497(1-0.497)(1/200 + 1/150)] = 0.03 ÷ 0.054 = 0.556

The test is a two-tailed test. At 0.10 significance level the critical values -1.645 and 1.645

Conclusion:

Fail to reject the null hypothesis because the test statistic 0.556 falls within the region bounded by the critical values.

8 0

3 years ago

Last year the backgammon club had 30 members. This year the club had 24 members. Find the percent of decrease in the number of m

Gnom [1K]

There is 20% decrease in the number of members.

Step-by-step explanation:

Given,

Members last year = Old value = 30

Members this year = New year = 24

Change = New value - Old value

Change = 24 - 30

Change = -6

The negative sign indicates the decrease.

Decrease percent = $\frac{Change}{Old\ value}*100$

Decrease percent = $\frac{6}{30}*100$

Decrease percent = $\frac{600}{30}$

Decrease percent = 20%

There is 20% decrease in the number of members.

Keywords: percentage, division

Learn more about division at:

#LearnwithBrainly

8 0

3 years ago

The figure consists of a quarter circle and a parallelogram. What is the area of the composite figure? Use 3.14 for pi. Round to

Andru [333]

The area of a full circle is given by
A = π*r^2
so the area of a 1/4 circle will be 1/4 of that:
A = (π/4)*r^2

The area of a parallelogram is the product of base length and height:
A = bh

Your composite figure will have an area that is the sum of the areas of the parts.
A = (quarter circle area) + (parallelogram area)
A ≈ (3.14/4)*(14 in)^2 +(14 in)*(5 in)
A ≈ 223.86 in^2 ≈ 224 in^2

The most appropriate selection is the last one,
224 in^2

7 0

3 years ago

Read 2 more answers

What is the probability of getting an odd number 1-10?

Annette [7]

Answer:

1/2 - Half of the numbers are odd

7 0

4 years ago