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3 years ago

8

I need help on finding the height of a triangular pyramid

1 answer:

Mashcka [7]3 years ago

7 0

Answer:

20 in

Step-by-step explanation:

The formula for the volume of a triangular pyramid is V=1/3 x B x H, in which B is the area of the base and H is the height. You're given the volume and area of the base so you can just plug that into the formula. You will get 120 = 1/3 x 18 x H. You can multiply the 1/3 and 18 so you will get 120 = 6H. In this case, you are solving for H so you need to isolate the variable. You can do this by dividing both sides by 6. You will end up eith 20 = H.

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The diameter of a circle has endpoints (2,-6) and (-4,-16).

olga nikolaevna [1]

Answer:

$(x + 1)^{2} + (y + 11)^{2} = 34$

Step-by-step explanation:

First find the midpoint of the segment from (2, -6) to (-4, -16)

((2 - 4)/2, (-6 - 16)/2)

(-2/2, -22/2)

(-1, -11) is the midpoint and is the center of the circle

Now find the distance between the 2 given points and divide by 2 to get the radius of the circle

d = $\sqrt{(2 + 4)^{2} + (-6 + 16)^{2} }$

= $\sqrt{6^{2} + 10^{2} }$

= $\sqrt{36 + 100}$

= $\sqrt{136}$

r = $\sqrt{136}$ /2

$r^{2}$ = 136/4 = 34

Equation of circle with center at (-1, -11) and radius = $\sqrt{34}$ is

$(x + 1)^{2} + (y + 11)^{2} = 34$

3 0

3 years ago

The integers of -5 and 5 are called

qwelly [4]

The integers are called the opposites because they are on the opposite side of zero.

3 0

3 years ago

Find 3 ordered pairs which are Solutions to the equation 2x - 3y = 12

KonstantinChe [14]

2x-3(0)=12
2x=12
x=6
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2(0)-3y=12
-3y=12
y=-4
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2x-3(2)=12
2x-6=12
2x=18
x=9
(9,2)

ANSWERS: (6,0) (0,-4) (9,2)

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4 years ago

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dybincka [34]

Answer:

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Step-by-step explanation:

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4 years ago