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3 years ago

A company is making building blocks what is the length of each side of the block?

Mathematics

2 answers:

natta225 [31]3 years ago

4 0

Volume of a cube is equal to side^3

Volume is given as 1 ft^3

Now you have 1 = Side ^3

To find the side, take the cubic root of both sides:

Side = ∛1

Side = 1 ft

vekshin13 years ago

3 0

Answer:

Length of each side of the building block will be 1 feet.

Step-by-step explanation:

A company makes building blocks in the shape of a cube with volume V = 1 ft³

We have to find the length of each side of the building block.

As we know volume of a cube is represented by the formula V = (Side)³

1 = (side)³

Side = ∛(1)

Side = 1 feet

Therefore, length of each side of the building block will be 1 feet.

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What is the radius of a circle given by the equation x2 + y2 – 2x + 8y – 47= 0? radius = units

il63 [147K]

ANSWER

The radius is 8

EXPLANATION

We were given,

${x}^{2} + {y}^{2} - 2x + 8y - 47 = 0$

We rewrite the above equation to obtain,

${x}^{2} - 2x \: \: \: \: + {y}^{2} + 8y \: \: \: \: = 47$

We now add half the square of the coefficient of
$x \: and \: y$
to both sides of the equation to get,

${x}^{2} - 2x + ( - 1) ^{2} + {y}^{2} + 8y + {(4)}^{2} = 47 + ( - 1) ^{2} + {4}^{2}$

We now got two perfect squares on the left hand side of the equation,

$(x - 1)^{2} + {(y + 4)}^{2} = 47 + 1 + 16$

$(x - 1)^{2} + {(y + 4)}^{2} =64$

$(x - 1)^{2} + {(y + 4)}^{2} = {8}^{2}$

By comparing to the general formula of the circle,

${(x - a)}^{2} + {(y - b)}^{2} = {r}^{2}$

We can see that the radius is 8.

4 0

3 years ago

Read 2 more answers

Given that

Sophie [7]

Answer:

P = 22

Step-by-step explanation:

We know that:

P = 7x + 20 − 2y
x = 2
y = 6

Work:

P = 7x + 20 − 2y

Substituting the given values

P = 7(2) + 20 − 2(6)

Solving

=> P = 14 + 20 - 12
=> P = 22

Hence, the value of P is 22.

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2 years ago

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Stolb23 [73]

Answer:area is 15cm please give me brainlest also a small 2 at the top of 15cm

Step-by-step explanation:

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3 years ago

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sattari [20]

Answer:

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3 years ago

Which of the following sets of numbers could be the lengths of the sides of a triangle? A. 1 mi, 9 mi, 10 mi B. 8 mi, 9 mi, 2 mi

Svetach [21]

Answer:

Option B. 8 mi, 9 mi, 2 mi

Step-by-step explanation:

The option A doesn't have a set of numbers which could be the lengths of the sides of a triangle. The numbers 1,9,10 mean that the longest side is exactly the sum of the others. The only possible way is they lie in the same line, no triangle is formed

Option C gives the numbers 1,9,11. It's impossible to have a side of 11 when you have the sum of the others less than 11. The maximum extension of the other sides (forming a line) won't be enough to reach the length of 11

Option D is also infeasible for the same reason as the option A. The three lines must be aligned to be connected in its extremes

Option B is the only one who can provide a set of possible lengths of a triangle since the sum of the shortest sides is greater than the third. If we open wide enough the angle between the 2 mi side and the 8 mi side, we would eventually connect the 9 mi side and form a triangle

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3 years ago