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3 years ago

Find the compound ratio of 6:5cm and 2:5

Mathematics

2 answers:

MatroZZZ [7]3 years ago

7 0

Answer:

12:25

Step-by-step explanation:

6/5×2/5

=12/25

12:25

denis-greek [22]3 years ago

4 0

Just getting more answers sorry :/

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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

What is the answer this equation 3/8 × 32/5

cupoosta [38]

96/40
simplified 12/5

7 0

3 years ago

Read 2 more answers

You invest $6500 into a mutual fund that is expected to earn 6% per year. How long will it take the fund to be worth $13,000?

tester [92]

This is a compound interest problem so you cannot use the simple interest formula. Effectively the total amount is being compounded each year by 6%. There is a formula for compound interest but in this simple example you can work this out recursively.

year 1 = 6500
year2 = 6500*1.06 = 6890
year3 = 6890*1.06 = 7303
year4 = 7303*1.06 = 7741..
etc......
year12 = 11604*1.06 = 12338

8 0

3 years ago

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Simplify the expression. 3x + 3x

OverLord2011 [107]

Here, just add the coefficients. 3x + 3x = 6x.

4 0

3 years ago

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5. Which of the following could represent the side

tamaranim1 [39]

Answer: 19,11,17 and 13,22,14