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2 years ago

The volume of a sphere is 5,572.45 ft To the nearest foot what is the radius of the sphere? Use 3.14 for .

Mathematics

1 answer:

Ronch [10]2 years ago

6 0

Answer: $11\ ft$

Step-by-step explanation:

Given

The volume of a sphere is $5572.45\ ft^3$

The volume of sphere with radius r is given by

$\Rightarrow \dfrac{4\pi r^3}{3}$

Insert the values

$\Rightarrow V=\dfrac{4\pi }{3}\times r^3\\\\\Rightarrow 5572.45=\dfrac{4\pi }{3}\times r^3\\\\\Rightarrow r^3=\dfrac{5572.45\times 3}{4\pi }\\\\\Rightarrow r^3=1330.992\\\\\Rightarrow r=10.97\approx 11\ ft$

Therefore, the radius is $11\ ft$

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Holly wants to make a frame for a painting. The painting is square and has an area of 225 square inches. a. Write an equation to

nalin [4]

Answer:

a) area = side²

225 in² = side²

side = √225 = 15 inches

b) 15 inches per side x 4 sides x $1.35 per inch = $81.00

Step-by-step explanation:

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2 years ago

A rectangle is twice as long as it is wide. If its length and width are both

puteri [66]

Answer:

a rectangle is twice as long as it is wide . if both its dimensions are increased 4 m , its area is increaed by 88 m squared make a sketch and find its original dimensions of the original rectangle

Step-by-step explanation:

Let l = the original length of the original rectangle

Let w = the original width of the original rectangle

From the description of the problem, we can construct the following two equations

l=2*w (Equation #1)

(l+4)*(w+4)=l*w+88 (Equation #2)

Substitute equation #1 into equation #2

(2w+4)*(w+4)=(2w*w)+88

2w^2+4w+8w+16=2w^2+88

collect like terms on the same side of the equation

2w^2+2w^2 +12w+16-88=0

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Since 4 is afactor of each term, divide both sides of the equation by 4

w^2+3w-18=0

The quadratic equation can be factored into (w+6)*(w-3)=0

Therefore w=-6 or w=3

w=-6 can be rejected because the length of a rectangle can't be negative so

w=3 and from equation #1 l=2*w=2*3=6

I hope that this helps. The difficult part of the problem probably was to construct equation #1 and to factor the equation after performing all of the arithmetic operations.

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2 years ago

Which expressions are algebraically equivalent to the correct usage of the distance formula to find the distance from point A(3,

egoroff_w [7]

Answer:

(5)

Step-by-step explanation:

The given two points are:

A(3,k) and B(h,4)

Now, using the distance formula that is= $\sqrt{(y_{2}-y_{1})^{2}+(x_{2}-x_{1})^{2}}$ .

In the given points, $y_{2}=4$ , $y_{1}=k$ , $x_{2}=h$ and $x_{1}=3$ , thus,

$\sqrt{(y_{2}-y_{1})^{2}+(x_{2}-x_{1})^{2}}$ = $\sqrt{(4-k)^{2}+(h-3)^{2}}$

which is the required equation, hence option 5 is correct.

8 0

3 years ago

Read 2 more answers

Given the functions, f(x)=x^3+2 and g(x)=x-9, perform the indicated operation. When applicable, state the domain restriction. (f

tiny-mole [99]

The domain of (f/g)(x) considers the domains of g(x) and f(x) and makes sure that g(x)≠0

because (f/g)(x)=f(x)/g(x)
and division by 0 is not allowed

the domains of f(x) and g(x) are all real numbers
now find what make g(x)=0
0=x-9
9=x

9 is restricted from the domain
domain is all real numbers except 9

so
$(\frac{f}{g})(x)=\frac{f(x)}{g(x)}=$
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the domain is all real numbers except for 9

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2 years ago

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Furkat [3]

Answer:

Step-by-step explanation:

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3 years ago

The volume of a sphere is 5,572.45 ft To the nearest foot what is the radius of the​ sphere? Use 3.14 for .

The volume of a sphere is 5,572.45 ft To the nearest foot what is the radius of the sphere? Use 3.14 for .