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Rasek [7]
3 years ago
11

Find the volume of the prism

Mathematics
1 answer:
Nimfa-mama [501]3 years ago
8 0

Answer:

V =648 mm^3

Step-by-step explanation:

The volume of a prism is given by

V = l*w*h  

V = 6*9* 12

V =648 mm^3

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32 is the sum of a number z and 9
Zepler [3.9K]
You can find out the answer by subtraction 32 by 9. This equals 23. 23 + 9 = 32. Therefore, z = 23. Hope this helps!
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3 years ago
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Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the
Ksju [112]

Answer:

3.162 units

Step-by-step explanation:

First identify the points that undergo transformation

You have;

A = (0,0)   and B =(1,3)

The transformation is T: (x,y)= (x+2, y+1), this means to get the image you add the x coordinate of the object to 2, and the y coordinate to 1.

<u>Finding coordinates of the image points A' and B' </u>

A'= (0+2,0+1) = (2,1)

B'=(1+2, 3+1)=(3,4)

<u>Finding the distance A'B'</u>

The formula for distance d is

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

where

x₁=2

x₂=3

y₁=1

y₂=4

d=distance between two points

Applying the formula

d=\sqrt{(3-2)^2+(4-1)^2} \\\\\\d=\sqrt{1^2+3^2} \\\\\\d=\sqrt{1+9} \\\\\\d=\sqrt{10} \\\\\\d=3.162

The distance A'B' is √10 =3.162 units

8 0
3 years ago
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X^3+4x^2-9x-36<br> whats the answer
IceJOKER [234]

Answer:

x= -4, -3, 3

Step-by-step explanation:

You must factor this equation.

Once you factor, you get (x+4)(x-3)(x+3)

Set this equal to 0 and solve.

You get -4,-3, and 3.

6 0
3 years ago
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mixas84 [53]
The answer is negative 5
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2 years ago
In ΔNOP, the measure of ∠P=90°, the measure of ∠O=17°, and OP = 8.6 feet. Find the length of PN to the nearest tenth of a foot.
SVEN [57.7K]

The length of PN is 2.63 feet

<u>Explanation:</u>

<u />

Given:

∠P=90°,

∠O=17°,

OP = 8.6 feet

PN = ?

The given triangle is a right angle triangle as one angle is 90°

We know:

tan \alpha = \frac{perpendicular}{base}

tan(17^o) = \frac{PN}{OP} \\\\0.3057 = \frac{PN}{8.6} \\\\PN = 0.3057 X 8.6 feet\\\\PN = 2.63 feet

Therefore, the length of PN is 2.63 feet

7 0
3 years ago
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