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3 years ago

What is the volume of the regular pyramid?

Mathematics

1 answer:

ad-work [718]3 years ago

7 0

Answer:

Step-by-step explanation:

The volume of the regular pyramid is $V=\dfrac{1}{3}A_{base}H.$

The base of given pyramid is regular hexagon with side 12 cm. The are of this hexagon consistsof area of 6 equilateral triangles and is equal to

$A_{base}=6\cdot \dfrac{1}{2}\cdot 12\cdot 10.4=374.4\ cm^2.$

Hence, the volume of the pyramid is

$V=\dfrac{1}{3}\cdot 374.4\cdot 36=4,492.8\ cm^3.$

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Solve the system of equations -7x - 6y = 4 x= -3y + 8

Svetradugi [14.3K]

You can use the substitution method for this problem
Since -3y+8=x you can
Use the equation -7(-3y+8) -6y=4
You then distribute and solve
21y-56-6y=4
15y=60
Y=4
You then plug y into one of the original equations
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3 years ago

How do you find the surface area for a triangular pyramid

zloy xaker [14]

Pyramid Surface Area = (½ * Perimeter of Base * Slant Height) + Base Area

6 0

4 years ago

Read 2 more answers

Answer the question now

Brut [27]

Answer:

44, 3.5

11 x 4= 44

3.5 x 1 = 3.5

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3 years ago

A pan is heated to 393°F, then removed from the heat and allowed to cool in a kitchen where the room temperature is a constant 6

deff fn [24]

Answer:

The approximate temperature of the pan after it has been away from the heat for 9 minutes is 275.59°F.

Step-by-step explanation:

The formula for D, the difference in temperature between the pan and the room after t minutes is:

$D = 324\cdot e^{-0.05t}$

Compute the approximate difference in temperature between the pan and the room after 9 minutes as follows:

$D = 324\cdot e^{-0.05t}$

$=324\times e^{-0.05\times 9}\\\\=206.59$

Then the approximate temperature of the pan after it has been away from the heat for 9 minutes is:

D = P - R

206.59 = P - 69

P = 206.59 + 69

P = 275.59°F

Thus, the approximate temperature of the pan after it has been away from the heat for 9 minutes is 275.59°F.

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3 years ago

I really don't understand help

Zielflug [23.3K]

Answer:

128 ft sq.

Step-by-step explanation:

The way you find the area of a square is by multiplying one side by another, and since it is a square, the sides are the same. This means that if we have a square with a side length of x, the way to find the area of that square is to multiply x by x, which can be written as $x^2$ . Now, since we're doubling this, we can say that double Mary's garden is $2 * x^2$ . If we substitute 8 in for x, we have to multiply $8^2$ by 2 or 8 by 8 by 2 to find our answer. 8 times 8 is 64 and 64 times 2 is 128.

5 0

3 years ago