Samantha is creating concrete spheres for a weight-lifting competition. One of the spheres needs to have a weight of 350 pounds. Samantha knows that concrete weighs 150 pounds per cubic foot. What is the radius, in feet, of the sphere that Samantha will create?

Answer:

27.2 m³

Step-by-step explanation:

Given:

Formula:

[tex](\text{Base edge})^{2} \times \dfrac{\text{Height}}{3}[/tex]

Replace the base edge and the height in the formula:

[tex]\implies (\text{4})^{2} \times \dfrac{\text{5.1}}{3}[/tex]

Evaluate the volume of the prism:

[tex]\implies (\text{4})(4) \times 1.7[/tex]

[tex]\implies 16 \times 1.7[/tex]

[tex]\implies 27.2 \ \text{m}^{3}[/tex]

Answer:

27.2 cm³

Step-by-step explanation:

Volume of a square pyramid

[tex]\sf V=\dfrac13a^2h[/tex]

where:

Given:

[tex]\sf \implies Volume=\dfrac13\cdot 4^2\cdot5.1=27.2\;cm^3[/tex]

The circumference of the original container is 12.57 inches.

The cirucmference of the original container is 12.57 inches less than the circumference of the new container.

The circumference of a cylinder is the distance round the cylinder. It is the perimeter of the cylinder.

The circumference of a cylinder = πD

Where:

The circumference of the original container = 22/7 x 4 = 12.57 inches

The circumference of the family sized container 12.57 x 2 = 25.14 inches

Difference in the circumference = 25.14 - 12.57 = 12.57 inches

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Answer: 12.57 for both

Step-by-step explanation: ANSWER ON EDMENTUM/PLUTO

Answer:

b

Step-by-step explanation:

Answer:

1. ≈301.6

2.≈10210.18

Step-by-step explanation:

1. A=2πrh+2πr2=2·π·4·8+2·π·42≈301.59289

A=2πrh+2πr2=2·π·25·40+2·π·252≈10210.17612

Answer: The diameter is 28cm

Step-by-step explanation:

Circumference is [tex]2\pi r[/tex] where r is the radius or just [tex]\pi d[/tex] where d is the diameter. For this, we'll use the one with the diameter.

[tex]87.92=3.14d\\\frac{87.92}{3.14} =\frac{3.14d}{3.14} \\28=d[/tex]

Answer:

2/2. and 4/4

Step-by-step explanation:

because 8/8 is 1 and 2/2 and 4/4 are both 1 .

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Answer:

A random sample is meant to be an unbiased representation of the larger population.

Answer:

B

Step-by-step explanation:

assume a right angle between the house and the ground.

then the ladder is the hypotenuse and distance from ladder to house is d

using the cosine ratio in the right triangle and the exact value

cos60° = [tex]\frac{1}{2}[/tex] , then

cos60° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{d}{15}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

2x = 15 ( divide both sides by 2 )

x = 7.5

distance from house to foot of ladder is 7.5 feet

Answer:

Simplifying

6 + -8x = 7x + -9x + -36

Reorder the terms:

6 + -8x = -36 + 7x + -9x

Combine like terms: 7x + -9x = -2x

6 + -8x = -36 + -2x

Solving

6 + -8x = -36 + -2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '2x' to each side of the equation.

6 + -8x + 2x = -36 + -2x + 2x

Combine like terms: -8x + 2x = -6x

6 + -6x = -36 + -2x + 2x

Combine like terms: -2x + 2x = 0

6 + -6x = -36 + 0

6 + -6x = -36

Add '-6' to each side of the equation.

6 + -6 + -6x = -36 + -6

Combine like terms: 6 + -6 = 0

0 + -6x = -36 + -6

-6x = -36 + -6

Combine like terms: -36 + -6 = -42

-6x = -42

Divide each side by '-6'.

x = 7

Simplifying

x = 7

Answer:

x = 7

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The seahorse make a lot of babies because the male carries the babies while the female makes more eggs.

Mating is the process in which opposite or hermaphroditic organisms pair for reproduction.

During mating between the male and female seahorse mates, the female seahorse puts her eggs in the male pouch and the male fertilises the egg in his pouch. The eggs develop into baby seahorse in the father pouch.

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Answer:

Yes, if there are 6 candies it can be divided equally by 3 and not 9.

Step-by-step explanation:

Answer:

the first one i think

Step-by-step explanation:

Answer:

138/80

Step-by-step explanation:

5×5+3/5-3×16+14/16

28/5-62/16

28×16/5×16-62×5/16×5

448/80-310/80

448-310/80

138/80

Answer:

You have to give a reference or a picture or a number or something.

Step-by-step explanation:

We can't guess what the numbers are you have to state them.

Answer:

$654

No explanation! sorry!

One of the factors of the given quadratic expression is (x+2).

The given quadratic expression is:

[tex]6x^{2} +7x-10[/tex]

Any expression of the form [tex]ax^{2} +bx+c[/tex] is called a quadratic expression where a≠0.

Splitting the middle term of the given expression

[tex]6x^{2} +12x-5x-10[/tex]

[tex]6x(x+2)-5(x+2)[/tex]

[tex](x+2)(6x-5)[/tex]

Hence, one of the factors of the given quadratic expression is (x+2).

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Answer:

-3>-4 is correct

Step-by-step explanation:

Answer:

904.8 units^3

Step-by-step explanation:

The formula for the area of a circle is [tex]4/3 \pi r^3[/tex]

By the picture we know r = 6

Thus our answer is 4/3 * π * [tex]6^3[/tex]

This is the same as 4/3 * 216 * π = 904.778684234

Rounding to the nearest tenth yields 904.8 units^3

Answer:

m∠A = 18

Step-by-step explanation:

Formula:

the sum of the interior angles of a triangle is 180.

____________________

According to the formula :

    [tex]m\angle A\ +\ m\angle B\ +\ m\angle C=180[/tex]

⇔ x - 22  +  3x + 19  +  x - 17 = 180

⇔ 5x + (19 - 17 - 22) = 180

⇔ 5x + (2 - 22) = 180

⇔ 5x - 20 = 180

⇔ 5x = 180 + 20

⇔ 5x = 200

[tex]\Leftrightarrow x = \frac{200}{5} \\\Leftrightarrow x = 40[/tex]

Conclusion:

m∠A = x - 22 = 40 - 22 = 18

Answer:

13,440 per year.

Step-by-step explanation:

His pay check would be deducted over 93% which is 12,406 spent on bills, and about $90 left to spend on whatever he wants. (LoL)

Step-by-step explanation:

Using the Theorem,

LN*NL = KN*NJ

(7x-11)*14 = 16*(3x+6)

98x - 154 = 48x + 96

98x-48x = 96+154

50x = 250

x= 250/50

Answer:

19/40 = 0.475 You can use either the fraction or the decimal

Step-by-step explanation:

3/5  - 1/8 = 3 · 8/5 · 8 - 1 · 5/8 · 5 = 24/40  - 5/40 = 24 - 5/40  = 19/40

Answer:

[tex] \frac{3}{5} - \frac{1}{8} = \frac{19}{40} [/tex]

TOTAL:

=0.475

Step-by-step explanation:

3/5 - 1/8 = 3.8/5.8 - 1.5/8.5 = 24/40

- 5/40 = 24-5/40 - 24-6/40 =19/40

✿For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(5, 8) = 40. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 5 × 8 = 40. In the following intermediate step, it cannot further simplify the fraction result by canceling.

Answer:

150.72

Step-by-step explanation:

Answer:

it will 3.14.

Step-by-step explanation:

there is no number after 4

Answer:

  [tex]\text{\% change}=\dfrac{(\text{New value})-(\text{Old value})}{\text{Old value}}[/tex]

Step-by-step explanation:

A percentage change is quotient of the difference between the new value and old value, and the old value. That fraction is expressed as a percentage in the usual way.

__

Here, the problem statement tells you to fill in the blanks with "NOO."

  [tex]\text{\% change}=\dfrac{(\textbf{N}\text{ew value})-(\textbf{O}\text{ld value})}{\textbf{O}\text{ld value}}\times100\%[/tex]

Answer:

see explanation

Step-by-step explanation:

3)   line l and m are perpendicular so they intersect at 90 degrees

I labelled the angles that are the same measure.

2x + 23 = 90    subtract 23

2x = 67             divide by 2

x = 23.5 degrees

4) 2m + 66 = 120  subtract 66

2m = 54                 divide by 2

m = 27 degrees