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My name is Ann [436]
3 years ago
8

What is the volume of this composite solid? 16 m 5 m 12 m 9 m

Mathematics
1 answer:
son4ous [18]3 years ago
3 0

Answer:

864 cubic meters

Step-by-step explanation:

Rectangular prism = 5x9x12=540

Triangular prism = 1/2(9)(6)(12)=324

540+324=864 cubic meters

You might be interested in
The radius of the cone is 5 in and y = 13 in. What is the volume of the cone in terms of π?
olga nikolaevna [1]

Answer:

The volume of the cone is;

100 π inches^3

Step-by-step explanation:

To calculate the volume, we need the height

We can get the height from the slant height and the radius

Mathematically, we use Pythagoras’ theorem for this as the slant height, the radius and the height forms a right-angled triangle

The right-angled triangle has the slant height as its hypotenuse

By the theorem, the square of the hypotenuse equals the sum of the squares of the two other sides

Let the height be h

Thus;

12^2 = 5^2 + h^2

169= 25 + h^2

h^2 = 169-25

h^2 = 144

h = √1144 inches = 12 inches

The volume of the cone is;

1/3 * π * r^2 * h

= 1/3 * π * 5^2 * 12

= 100 π inches^3

4 0
2 years ago
1.
denis-greek [22]

Answer:

Part a) AB=15\ cm

Part b) AB=11.1\ cm

Part c) AB=3/5\ cm

Part d) AB=3s\ cm

Step-by-step explanation:

see the attached figure to better understand the question

we know that

To find the length of the image after a dilation, multiply the length of the pre-image by the scale factor

Part a) we have

The scale factor is 5

The length of the pre-image is 3 cm

therefore

The length of the image AB after dilation is

3(5)=15\ cm

Part b) we have

The scale factor is 3.7

The length of the pre-image is 3 cm

therefore

The length of the image AB after dilation is

3(3.7)=11.1\ cm

Part c) we have

The scale factor is 1/5

The length of the pre-image is 3 cm

therefore

The length of the image AB after dilation is

3(1/5)=3/5\ cm

Part d) we have

The scale factor is s

The length of the pre-image is 3 cm

therefore

The length of the image AB after dilation is

3(s)=3s\ cm

7 0
3 years ago
|6m–54|, if m&lt;9 please help<br> write as an expression without absolute value sign
Serhud [2]

Answer:

6(m) - 54

Step-by-step explanation:

Since m < 9, you can substitute any number less than 9 to be m.

If this answer is correct, please make me Brainliest!

7 0
3 years ago
A sample size of 500 is sufficiently large enough to conclude that the sampling distribution of the sample proportions is a norm
Paha777 [63]

In a statistical test, the null hypothesis to be made is that the sample proportions do not have any significant differences, which means an equal distribution. This is only rejected when the estimate is equal or less than 0.95. But since in this case it is >0.95, so therefore the null hypothesis is not rejected. Therefore:

<span>False</span>

7 0
3 years ago
8x-1/3y=0 and 12x+3=y
irakobra [83]
Are you solving for x or y

y= 24x   x= y/24
3 0
3 years ago
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