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Mathematics

1 answer:

lyudmila [28]2 years ago

3 0

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Richard has 4 1/2 ft of wood. He needs to cut the wood into 5 equal pieces. Each piece of wood will be _____?

mina [271]

Answer: 22 1/2

Step-by-step explanation: first convert 4 1/2 into a mixed # = 9/2

The divide that by 5 (mult by reciprocal)

Reciprocal is the # flipped so,

9/2 x 1/5

= 45/2

divide 45 by 2

5 0

3 years ago

All the sides of a hexagon become three times the original length. find the ratio of areas of the new and old hexagons.

Anastaziya [24]

To determine the ratio, we need to know the formula of the area of an hexagon in terms of the length of its sides. We cannot directly conclude that the ratio would be 3, the same as that of the ratio of the lengths of the side, since it may be that the relationship of the area and length is not equal. The area of a hexagon is calculated by the expression:

A = (3√3/2) a^2

So, we let a1 be the length of the original hexagon and a2 be the length of the new hexagon.

A2/A1 = (3√3/2) a2^2 / (3√3/2) a1^2
A2/A1 = (a2 / a1)^2 = 3^2 = 9

Therefore, the ratio of the areas of the new and old hexagon would be 9.

7 0

3 years ago

What is the answer to <br> -100%+0.58= ?

3241004551 [841]

Answer:

-0.42

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

The weight, w, of a spring in pounds is given by 0.9 times the square root of the energy, E, stored by the spring in joules. If

frutty [35]

For this case we have the following equation:
$w = 0.9* \sqrt{E}$
Where,
w: The weight of a spring in pounds
E: the energy stored by the spring in joules.
Substituting values we have:
$w = 0.9* \sqrt{12}$
Making the corresponding calculation:
$w=3.12$
Answer:
the approximate weight of the spring in pounds is:
$w=3.12$

4 0

3 years ago

Read 2 more answers

No step by step answers or links

inysia [295]

Answer:

1. k = 15

2. d = 20

3. n = 3

6 0

2 years ago