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stepladder [879]
3 years ago
12

What is the volume of a square pyramids

Mathematics
1 answer:
frozen [14]3 years ago
7 0

Answer:

\large\boxed{V=75\ in^3}

Step-by-step explanation:

The formula ogf a volume of  a pyramid:

V=\dfrac{1}{3}BH

B - area of a base

H - height

We have a base length a = 5 in and a height H = 9 in.

In the base we have a square. The formula of an area of a square is:

B=a^2

Substitute:

B=5^2=25\ in^2

Calculate the volume:

V=\dfrac{1}{3}(25)(9)=(25)(3)=75\ in^3

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jeyben [28]
11. 8 * 18 = 144 in³, Option D

12. Half the height of 8 cm is 4 cm. Volume = 4 * 6 * 10 = 240 cm³, Option D

13. Double the dimensions you get 8 cm for the height, 6 cm for the radius. Then plug in. V = pi * (6)² * 8 >> pi * 36 * 8 = 288pi or ≈ 904.78, Option C

14. Half of all the dimensions are 1 in, 4 in, and 3 in. 1 * 4 * 3 = 12 in³, Option B

15. \frac{10}{16} =  \frac{x}{18} >> 16x = 180 >> x = 11.25 so Option B

16. Option D, 10 cm.

17. Option C, 8.5 in

18. Option B. 10.2 km

19. Option D. 0.82

20. cos 30 = b / 11.5 >> b = 11.5(cos (30)) = 9.96 m, Option C. 
6 0
2 years ago
Smoothing a time series of observations A. is a form of statistical cheating. B. allows statisticians to use less data than woul
DedPeter [7]

Answer:

D. is used to reveal an underlying pattern in the data.

Step-by-step explanation:

Smoothing a time series is achieved when a computer uses some pre-programmed calculation methods to remove noise from large volumes of data. Smoothing helps a user detect patterns in a set of data, thus making it possible to make future predictions. For example, smoothing can be used in the prediction of the rise and fall of stock prices. This helps the traders to have an idea of what to expect in the cost of trading.

Although smoothing reveals the patterns in a set of data, it provides no explanation as to why it is so. It is left to the researcher to draw conclusions as to the reasons for the patterns.

5 0
3 years ago
First 100 terms of the following sequence 3 ,7 ,11
Sveta_85 [38]
Given that a_1 = 3, d = 4

<u>Find the nth term:
</u>
a_n = 3 + 4(n - 1)

a_n = 3 + 4n - 4

a_n =  4n - 1

<u>Find the 100th term:</u>

a_{100} = 4(100) - 1 = 399

<u>Find the Sum:</u>

\text{Sum} = 100(\dfrac{a_1 + a_{100}}{2} )= 100 (\dfrac{3 + 399}{2}) = 20100

7 0
3 years ago
Read 2 more answers
Points X and Z are on a number line, and point Y partitions
abruzzese [7]

Answer:

The coordinate of Z is 13.36.

Step-by-step explanation:

According to the statement, we have the following information:

\frac{XY}{XZ} = \frac{5}{12} (1)

\frac{YZ}{XZ} = \frac{7}{12} (2)

X = 0.4 (3)

Y = 5.8 (4)

From (2), we have the following expression:

YZ = \frac{7}{12}\cdot XZ

Y-Z =\frac{7}{12}\cdot (X-Z)

Y - Z = \frac{7}{12}\cdot X -\frac{7}{12}\cdot Z

Y-\frac{7}{12}\cdot X = Z-\frac{7}{12}\cdot Z

\frac{5}{12}\cdot Z = Y-\frac{7}{12}\cdot X

5\cdot Z = 12\cdot Y-7\cdot X

Z = \frac{12}{5}\cdot Y-\frac{7}{5}\cdot X (5)

If we know that Y = 5.8 and X = 0.4, then the coordinate of Z is:

Z = \frac{12}{5}\cdot (5.8)-\frac{7}{5}\cdot (0.4)

Z = 13.36

The coordinate of Z is 13.36.

6 0
2 years ago
An equilateral triangle with side lengths of 8.7 centimeters is shown. An apothem has a length of a and the radius has a length
shutvik [7]

Options A,B and D. The correction about the area of the triangle are

  • The apothem can be found using the Pythagorean theorem.
  • The apothem can be found using the tangent ratio.
  • The length of the apothem is approximately 2.5 cm.

<h3>How to solve for the length of the Apothem using the Pythagoras theorem</h3>

Firstly this is an equilateral triangle

3 of the sides have the length of 8.7cm

b = half of 8.7

= 4.35cm

To get A we have

a² + b² = c²

a² + 4.35² = 5²

When we solve this out we would have

a² = 25 - 18.9225

a ≈ 2.5 cm.

Hence we have proved that the first option is correct.

<u>For B,</u>

In an equilateral triangles, each of the angles = 60 degrees

60/2 = 30 is the angle that is made from the base

<h3>using tangent ratios </h3>

a / 4.35 = tan 30

then a = 4.35 tan 30

This would also give us an approximate of 2.5

For D

The calculations we have done based on the statements in A and B shows that D is correct as 2.5.

Read more on triangles here:

brainly.com/question/18404158

#SPJ1

7 0
1 year ago
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