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hammer [34]
3 years ago
5

A pyramid has a base 16 inches x 16 inches and a slant height of 10 inches. what is the volume in cubic inches

Mathematics
1 answer:
gizmo_the_mogwai [7]3 years ago
4 0

Answer:

  512 in³

Step-by-step explanation:

The height perpendicular to the base is the leg of a right triangle with hypotenuse 10 in and other leg 8 in. Using the Pythagorean theorem, we can find it as ...

  h² +8² = 10²

  h² = 100 -64 . . . . . subtract 8²

  h = 6 . . . . . . . . . . . . take the square root of 36

Then the volume is found using ...

  V = (1/3)Bh = (1/3)(16 in)²(6 in) = 512 in³

The volume is 512 cubic inches.

_____

The 8-inch dimension used above comes from half the distance between the center of one side of the base to the center of the opposite side. (16 in)/2 = 8 in.

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TV for $500 and the tax is 5.5 what is the original price of the TV
crimeas [40]

Answer:

(since there is no percentage given i will provide two alternate answers one including percentage and one exclusive of percentage)

cost of TV inclusive of tax = $500

we first multiply the tax with total amount

$500 * 5.5

= $500 * 55/10

=$500 * 11/2

= $250 * 11

=$2750

original price of TV = $2750

alternate answer assuming there is a percentage sign with 5.5

the amount of tax on TV is 5.5%

we first multiply the  percentage of tax with total amount

$500 * 5.5/100

=$27.5

original price of TV = $500 - $27.5

= $472.5

Step-by-step explanation:


6 0
3 years ago
Multiply or divide the following expression: Reduce all answers to lowest terms. Factor the following completely.
Semmy [17]

A function assigns the values. The value of f(-3) and f(3) + f(-3) is 8 and -8, respectively.

<h3>What is a Function?</h3>

A function assigns the value of each element of one set to the other specific element of another set.

Given the function f(x)=-x²-4x+5, therefore, the value of f(x) when the value of x is -3 is,

f(-3) = -(-3)² - 4(-3) + 5

f(-3) = -9 + 12 + 5

f(-3) = 8

Now, the value of f(x) when the value of x is 3 is,

f(3) = -(3)²-4(3)+5

f(3) = - 9 - 12 + 5

f(3) = -16

further, the value of f(3) + f(-3) is,

f(3) + f(-3) = -16 + 8

f(3) + f(-3) = -8

Hence, the value of f(-3) and f(3) + f(-3) is 8 and -8, respectively.

Learn more about Function:

brainly.com/question/5245372

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7 0
2 years ago
Help with number 6 please?
Bad White [126]

Answer:

64

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
PLEASE HELP, 50 POINTS<br> QUESTION IS IN THE PICTURE
artcher [175]

Answer:

-\frac{50}{3}

Step-by-step explanation:

Find dy/dx of the ellipse  25x^{2} +y^{2}=109 at (2,3)

Using Implicit Differentiation

Differentiate both sides of the equation with respect to x

25x^{2} +y^{2}=109

50x +2y\frac{dy}{dx}=0

isolate the term dy/dx

2y\frac{dy}{dx}=-50x

\frac{dy}{dx}=-25\frac{x}{y}

Evaluate at point (2,3)

For x=2, y=3

\frac{dy}{dx}=-25(\frac{2}{3})

\frac{dy}{dx}=-\frac{50}{3}

4 0
3 years ago
Read 2 more answers
What is the equation of the graphed line written in standard form?
skelet666 [1.2K]
First of all, standard form means it should be this form ax+by=c
The equation for the line is
y= 1/4x-1========>Multiply each term by 4
y (4) = 1/4(4)x-1(4)
4y = 4/4x-4
4y=x-4=========>Subtract x from both sides
4y-x=x-x-4

4y-x=-4 OR X-4Y=4
Your answer is A.

7 0
3 years ago
Read 2 more answers
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