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3 years ago

Determine the height of a square pyramid with a volume of 225 cubic inches and a base edge of 5 inches.

Mathematics

1 answer:

ss7ja [257]3 years ago

5 0

Answer:

h = 27 inches

Step-by-step explanation:

Given that,

The volume of a square pyramid, V = 225 inches³

The base edge of a square pyramid, b = 5 inches

We need to find the height of a square pyramid. The formula for the volume of a square pyramid is given by :

$V=\dfrac{1}{3}B\times h$

B is area of base, B = b²

So,

$h=\dfrac{3V}{b^2}\\\\h=\dfrac{3\times 225}{5^2}\\\\h=27\ \text{inches}$

So, the height of the square pyramid is 27 inches.

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Graph a line through the point (-3, 2) with a slope of -2/5 .

alexira [117]

Answer:

y = $-\frac{2}{5} x$ $-\frac{16}{5}$

Some of the points on the graph are: (0,-3.2),(-8,0),(2,-4), and (-3,-2)

Step-by-step explanation:

https://www.d esmos.com/calculator/jx7d3ews7b

Brainly has been acting up. It won't let us paste links.

So when copying and pasting the link above, remove the space between d and e to get the graph.

Hope that helps!

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3 years ago

For each equation, determine whether it has no solutions, exactly one solution, or is true for all values of x (and has infinite

nignag [31]

Answer:

Equation 1 has exactly one solution.
Equation 2 has infinitely many solutions.
Equation 3 has no solution.

Step-by-step explanation:

We are given three equations to solve. First, let's solve the equations for x.

Equation 1

$\displaystyle{6x+8=7x+13}\\\\7x + 13 = 6x + 8\\\\x + 13 = 8\\\\\bold{x = -5}$

Therefore, we determined that for the first equation, x = -5. We can check our solution by substituting it back into the original equation.

$\displaystyle{6(-5)+8=7(-5)+13}\\\\-30 + 8 = -35 + 13\\\\-22 = -22 \ \checkmark$

Since we got a true statement, there are no other values of x for which we get a true statement. Let's test this with the opposite value: positive 5.

$6(5)+8=7(5)+13\\\\30 + 8 = 35 + 13\\\\38 = 48 \ \text{X}$

Therefore, for Equation 1, there is exactly one solution.

Equation 2

$6 x + 8 = 2 ( 3 x + 4 )\\\\6x + 8 = 6x + 8\\\\0 + 8 = 8\\\\8 = 8 \ \checkmark$

We get a true statement by solving for x (which ends up canceling out of the equation entirely). Therefore, we can check any value in place of x to see if we get a true statement. For this instance, I will use -3.

$6(-3) + 8 = 2 ( 3(-3) + 4 )\\\\-18 + 8 = 2(-9+4)\\\\-18 + 8 = 2(-5)\\\\-18 + 8 = -10\\\\-18 = -18 \ \checkmark$

We still get a true statement, so Equation 2 has infinitely many solutions.

Equation 3

$6 x + 8 = 6 x + 13\\\\0 + 8 = 13\\\\8 \neq 13$

We get a false statement. Therefore, Equation 3 has no solution.

3 0

3 years ago

Read 2 more answers

a package shaped like a cube has an edge that is 28 cm long. How much space is available to pack inside your box?

Tema [17]

Answer: 21,952 cm³

Explanation:

Volume = 28 x 28 x 28 = 29 152 cm³

7 0

3 years ago

F 144 pieces of candy are placed into candy bags with each bag containing 12 pieces of

Sever21 [200]

Twelve bags can be filled. 144 divided by 12 is 12, therefor 12 bags of candy can be filled.

5 0

3 years ago

Consider that the roots of a cubic equation with integral coefficients are 1, −2, and 3.

Iteru [2.4K]

Answer:

The answer is option A) X + 2

Step-by-step explanation:

Any polynomial of order n can be expressed in terms of their roots in factors of the form

(x-a)(x-b)(x-c)(x-d)....... = 0

Where a,b,c,d,... are the roots of the polynomial

In the example shown

(x+2) = (x-(-2))

And -2 happens to be the root of the polynomial in question

3 0

3 years ago

Read 2 more answers