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2 years ago

If it cost me 375.00 to stay in a hotel for 3 days. How much it cost for one day.

Mathematics

1 answer:

marusya05 [52]2 years ago

8 0

Answer:

125

Step-by-step explanation:

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Pyramid A is a square pyramid with a base side length of 12 inches and a height of 8 inches. Pyramid B is a square pyramid with

yan [13]

Answer:

The volume of pyramid B is 64 times the volume of pyramid A.

Step-by-step explanation:

Given:

Two square pyramids A and B.

Side Length of A, $s_A =$ 12 inches

Height of A, $h_A =$ 8 inches

Side Length of B, $s_B =$ 48 inches

Height of B, $h_B =$ 32 inches

To find:

How many times bigger is the volume of pyramid B than pyramid A?

$V_B$ is how many times bigger than $V_A$ ?

Solution:

First of all, let us have a look at the formula for volume of a pyramid:

$V=\dfrac{1}{3} \times \text{Area of Base} \times \text{Height}$

Here, base is square, so:

$V=\dfrac{1}{3} \times s^2 \times h$

Volume of pyramid A:

$V_A=\dfrac{1}{3} \times s_A^2 \times h_A$

$\Rightarrow V_A=\dfrac{1}{3} \times 12^2 \times 8 = 384\ inch^3$

Volume of pyramid B:

$V_B=\dfrac{1}{3} \times s_B^2 \times h_B$

$\Rightarrow V_B=\dfrac{1}{3} \times 48^2 \times 32 \\\Rightarrow V_B=\dfrac{1}{3} \times 12^2 \times 8 \times 4^2 \times 4\\\Rightarrow V_B=\dfrac{1}{3} \times 12^2 \times 8 \times 64\\\Rightarrow V_B= 24576\ inch^3 = 384\times 64\ inch^3\\\Rightarrow V_B = V_A\times 64\ inch^3$

The volume of pyramid B is 64 times the volume of pyramid A.

3 0

3 years ago

Please help ASAP the answer are within the pic

DerKrebs [107]

Hey Ive taken this assesment. The answer is 55

6 0

3 years ago

Scarlet open a savings account and deposited $100 as principal. The account earns 10% interest, compounded yearly. What is the b

koban [17]

Answer:

190

Step-by-step explanation:

100x10x9/100=90

balance=100+90=190

5 0

3 years ago

Using completing the square to solve for x in the equation (x-12)(x+4)=9

Vladimir79 [104]

Hello!

You can multiply (x-12) and (x+4)

x * x = x^2
x * 4 = 4x
-12 * x = -12x
-12 * 4 = -48

Now we have

x^2 - 8x - 48 = 9

Subtract 9 from both sides

x^2 - 8x -57 = 0

Use the quadratic formula

This give use the answer of

x = 4 + $\sqrt{72}$

Hope this helps!

3 0

3 years ago

Read 2 more answers

Solve. (Enter your answer using interval notation.) |3x + 15| > 21

Katarina [22]

Answer:

(-∞, -12), (2, ∞)

(-∞, -12) U (2, ∞)

Step-by-step explanation:

|3x + 15| > 21, |3x + 15| < -21

3x + 15 > 21, 3x + 15 < - 21

-15 -15 -15 -15

------------------ -------------------

3x > 6 3x < - 36

÷3 ÷3 ÷3 ÷3

------------ ------------------

x > 2 x < -12

(-∞, -12), (2, ∞)

(-∞, -12) U (2, ∞)

I hope this helps!

4 0

11 months ago