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3 years ago

Find the volume of the square pyramid showing. round to the nearest 10th if necessary

Mathematics

1 answer:

solong [7]3 years ago

5 0

The volume of a square pyramid is (1/3)(area of base)(height of pyramid).

Here the area of the base is (10 ft)^2 = 100 ft^2.

13 ft is the height of one of the triangular sides, but not the height of the pyramid. To find the latter, draw another triangle whose upper vertex is connected to the middle of one of the four equal sides of the base by a diagonal of length 13 ft. That "middle" is 5 units straight down from the upper vertex. Thus, you have a triangle with known hypotenuse (13 ft) and known opposite side 5 feet (half of 10 ft). What is the height of the pyramid?
To find this, use the Pyth. Thm.: (5 ft)^2 + y^2 = (13 ft)^2. y = 12 ft.

Then the vol. of the pyramid is (1/3)(area of base)(height of pyramid) =
(1/3)(100 ft^2)(12 ft) = 400 ft^3 (answer)

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Im willing to give 20 points maybe even more

Thepotemich [5.8K]

Answer:

Equations are

20c + 10m = 495..............(1)

8c + 1m = 178.5.................(2)

Now , equation (2) * 10 = 80c + 10m = 1785...........(3)

So, Eq. (3) - Eq(1) =

80c + 10m - 20c - 10m = 1785 - 495

60c = 1290

c= 21.5

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Now place the value of c in Eq (2)

So , m =6.5

Mark my answer as brainlist answer

Step-by-step explanation:

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3 years ago

The legs of a right triangle measure 6 centimeters and 8 centimeters. How long is the hypotenuse in centimeters?

klemol [59]

Answer:

10cm ( A )

Step-by-step explanation:

This would use the Pythagorean Theorem. That means it would be -

a^2_b^2= c^2, in this case, you have 2 of your legs already so those two values would be a&b. you would stick those two into the equation and it should look like this:

6^2+8^2=c^2

then 36+64=c

and then 100=c

after that, you would take the square root of c to get

10!

8 0

3 years ago

Read 2 more answers

Please help me with this problem..

charle [14.2K]

Answer:

y = 6

Step-by-step explanation:

Given that y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 3 when x = 9, then

k = $\frac{y}{x}$ = $\frac{3}{9}$ = $\frac{1}{3}$ , thus

y = $\frac{1}{3}$ x ← equation of variation

When x = 18, then

y = $\frac{1}{3}$ × 18 = $\frac{18}{3}$ = 6

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3 years ago

The sum of 2 trinomials is 7x^2 - 5x + 4. If one of the trinomials is 3x^2 + 2x - 1, then what is the other trinomial?

Hunter-Best [27]

We can subtract the sum of the two trinomials by one of the trinomials.
(7x²-5x+4)-(3x²+2x-1)
Let's look at each part.
7x²-3x²=4x²
-5x-2x=-7x
4-(-1)=5
So, the trinomial should look like:
4x²-7x+5
So, C. 4x²-7x+5 is the other trinomial.

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3 years ago

How can you represent all of the solutions to systems of inequalities?

Dimas [21]

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Step-by-step explanation:

hope this helps have a great night ❤️❤️❤️

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3 years ago