What is the volume of a sphere with a radius of 6in? Round to the nearest hundredth. Remember V = 4/3πr3 * 20 points 457.86 inches cubed 394.56 inches cubed 904.78 inches cubed 807.78 inches cubed

4n is the soultioncAnswer:

Step-by-step explanation:

Answer:

Area of base = 25cm

Step-by-step explanation:

The formula for the volume of a rectangular prism is:

Volume = length × width × height = lwh

for a square base, length = width

∴ volume = l × l × h = l²h

where:

l = length

h = height = 9cm

volume = 225 cm³

∴ 225 = l² × 9

l² = 225 ÷ 9

l² =  25

∴ length = √ 25 = 5cm

Area of base = Length × Length = 5 × 5 = 25cm

Answer:

39.25 unit²

Step-by-step explanation:

Radius of circle = diameter/2 = 10/2 = 5

Area of a circle = πr²

Area of ½ circle = ½ πr² = ½ x (22/7) x 5²

Area = 39.25 unit^2

Answer:

118.73

Step-by-step explanation:

Answer:

118.74 ft²

Step-by-step explanation:

First, you're going to get the are of the following shapes, one by one.

Area of A Circle = πr²

Area of a Rectangle = bh

Area of a Square = s²

Step 1: Let's find the area for the Circle.

Diameter = 6

Radius = Diameter ÷ 2

6 ÷ 2 = 3

The Radius is 3.

A = (3.14)(3)²

Simplify:

(3.14)(9) = 28.26 ft²

Step 2: Find the Area of the Rectangle.

A = bh

11 × 2 = 22

Area of Rectangle = 22 ft²

Step 3: Find the Area of the Square

A = s²

13² = 13 × 13 = 169 ft²

Step 4: Subtract the Aea of the Circle and Rectangle form the Are of the Square.

169 - 28.26 - 22 = 118.74 ft²

Answer:

Step-by-step explanation:

120q(5k/13q)=600k/13

46 2/13 kents

Answer:

first of all I can't see nothing

Answer:

x=9

Step-by-step explanation:

0.6x+2.7=0.9x

move the terms

0.6x-0.9x=-2.7

collect like terms

-0.3x=-2.7

divide both sides

x=9

Answer:

answer is D)10

Step-by-step explanation:

there's a square in the corner, and that tells you this angle is a right angle which is 90degrees

so 90-60=3x

30=3x

x=10

Answer:

A. 30

x=30

Step-by-step explanation:

That is a 90 degree angle. 90-60=30

Answer:

443.28

Step-by-step explanation:

Subtract 42.24 from 570.3 three times.

Answer:

2 + i and + √5

Step-by-step explanation:

Since P(x) is a quartic equation, it has 4 roots.

Since 2 - i and -√5 are two of its roots, then its conjugate pairs of 2 + i and + √5 are its other two roots.

So, its other two roots are 2 + i and + √5

Answer:

I can only guess that by x^2-2x-24 you mean the entire denominator.  In cases like this is is important to use parentheses to remove any doubts.  For example:

(x+8) / (x^2-2x-24).

This rational expression is undefined at any x for which the denominator, x^2-2x-24, is zero.  

x^2-2x-24 factors into (x+4)(x-6).  The roots are -4 and +6.  

Thus, the given expression is undefined at {-4,6} (set notation).

Step-by-step explanation:

Answer:

prc

Step-by-step explanation:

Answer:

It is indeed PRC

Step-by-step explanation:

Answer:

yes,no, no, yes

Step-by-step explanation:

Answer:

12.6ft³

Step-by-step explanation:

Hey There!

So the first thing we need to do is find the formula for volume of a cone

[tex]V=\pi r^{2} \frac{h}{3}[/tex]

r = radius

h = hypotenuse

Now all we have to do is plug in the hypotenuse and the radius

[tex]V=\pi 2^{2} \frac{3}{3}[/tex]

2²=4

[tex]\frac{3}{3} =1[/tex]

4xπ=12.5663706144

And now we just round to the nearest tenth

so we can conclude that the volume of the cone is 12.6ft³

Answer:

Step-by-step explanation: The order of operations is a rule that tells the correct sequence of steps for evaluating a math expression. We can remember the order using PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Answer:

158 quarters

54 dimes

Step-by-step explanation:

Let d = no. of dimes

     q = no. of quarters

10d = value of all the dimes since each dime is worth 10 cents

and 25q = value of all the quarters since each quarter is worth 25 cents

$44.90 = 4490 cents

  10d + 25q = 4490              d + q = 212

- 10d - 10q = -2120

             15q = 2370

                 q = 158 quarters   d + 158 = 212

                                                        d = 54 dimes

Answer:

D

Step-by-step explanation:

Answer:

100 percent - 18 percent

Step-by-step explanation:

answer will come

Answer:

[tex]sin\ \varnothing = \frac{-1}{10}\sqrt 2[/tex]

[tex]cos\ \varnothing = \frac{-7}{10}\sqrt 2[/tex]

[tex]tan\ \varnothing = \frac{1}{7}[/tex]

[tex]cot\ \varnothing = 7[/tex]

[tex]sec\ \varnothing = \frac{-5}{7}\sqrt 2[/tex]

[tex]csc\ \varnothing = -5\sqrt 2[/tex]

Step-by-step explanation:

Given

[tex]N = (-7,-1)[/tex] --- terminal side of [tex]\varnothing[/tex]

Required

Determine the values of trigonometric functions of [tex]\varnothing[/tex].

For [tex]\varnothing[/tex], the trigonometry ratios are:

[tex]sin\ \varnothing = \frac{y}{r}[/tex]       [tex]cos\ \varnothing = \frac{x}{r}[/tex]       [tex]tan\ \varnothing = \frac{y}{x}[/tex]

[tex]cot\ \varnothing = \frac{x}{y}[/tex]       [tex]sec\ \varnothing = \frac{r}{x}[/tex]       [tex]csc\ \varnothing = \frac{r}{y}[/tex]

Where:

[tex]r^2 = x^2 + y^2[/tex]

[tex]r = \sqrt{x^2 + y^2[/tex]

In [tex]N = (-7,-1)[/tex]

[tex]x = -7[/tex] and [tex]y = -1[/tex]

So:

[tex]r = \sqrt{(-7)^2 + (-1)^2[/tex]

[tex]r = \sqrt{50[/tex]

[tex]r = \sqrt{25 * 2[/tex]

[tex]r = \sqrt{25} * \sqrt 2[/tex]

[tex]r = 5 * \sqrt 2[/tex]

[tex]r = 5 \sqrt 2[/tex]

Solving the trigonometry functions

[tex]sin\ \varnothing = \frac{y}{r}[/tex]

[tex]sin\ \varnothing = \frac{-1}{5\sqrt 2}[/tex]

Rationalize:

[tex]sin\ \varnothing = \frac{-1}{5\sqrt 2} * \frac{\sqrt 2}{\sqrt 2}[/tex]

[tex]sin\ \varnothing = \frac{-\sqrt 2}{5*2}[/tex]

[tex]sin\ \varnothing = \frac{-\sqrt 2}{10}[/tex]

[tex]sin\ \varnothing = \frac{-1}{10}\sqrt 2[/tex]

[tex]cos\ \varnothing = \frac{x}{r}[/tex]

[tex]cos\ \varnothing = \frac{-7}{5\sqrt 2}[/tex]

Rationalize

[tex]cos\ \varnothing = \frac{-7}{5\sqrt 2} * \frac{\sqrt 2}{\sqrt 2}[/tex]

[tex]cos\ \varnothing = \frac{-7*\sqrt 2}{5*2}[/tex]

[tex]cos\ \varnothing = \frac{-7\sqrt 2}{10}[/tex]

[tex]cos\ \varnothing = \frac{-7}{10}\sqrt 2[/tex]

[tex]tan\ \varnothing = \frac{y}{x}[/tex]

[tex]tan\ \varnothing = \frac{-1}{-7}[/tex]

[tex]tan\ \varnothing = \frac{1}{7}[/tex]

[tex]cot\ \varnothing = \frac{x}{y}[/tex]

[tex]cot\ \varnothing = \frac{-7}{-1}[/tex]

[tex]cot\ \varnothing = 7[/tex]

[tex]sec\ \varnothing = \frac{r}{x}[/tex]

[tex]sec\ \varnothing = \frac{5\sqrt 2}{-7}[/tex]

[tex]sec\ \varnothing = \frac{-5}{7}\sqrt 2[/tex]

[tex]csc\ \varnothing = \frac{r}{y}[/tex]

[tex]csc\ \varnothing = \frac{5\sqrt 2}{-1}[/tex]

[tex]csc\ \varnothing = -5\sqrt 2[/tex]

Answer:

150 square feet

Step-by-step explanation:

Step 1

Find the Length and Width of the backyard

The length of a rectangular backyard is 5 feet longer than the width of the backyard. The perimeter of the backyard is 50 feet.

Perimeter = 2L + 2W

L = Length, W = Width

L = 5 + W

Hence:

50 = 2(5 + W) + 2W

50 = 10 + 2W + 2W

Collect like terms

50 - 10 = 4W

40 = 4W

W = 40/4

W = 10 feet

We find L

L = 5 + W

L = 5 + 10 feet

L = 15 feet

Step 2

What is the area of the backyard?

Area of a rectangle = Length × Width

Area of the rectangular backyard = 15 feet × 10 feet

= 150 square feet

Answer:

Step-by-step explanation:

C = 147 ft.  The relevant formula is C = 2(pi)r, and here C = 147 ft = 2(pi)r.

The relevant area formula is A = (pi)r^2.  If we solve the above formula for r we get

         147 ft

  r = ------------    and so  r^2 (needed to calculate the area) is

           2pi

          147^2 ft^2

r^2 = ------------------

                4(pi)

                                      147^2 ft^2

and so the area is  A = ---------------- = 7203/pi

                                           3 pi

                                                                    C                           C^2

Alternative method:  C = 2pi*r so r = -------------- and r^2 = -------------

                                                                 2 pi                           4pi^2

                                                                               C^2             C^2

then the area of the circle is A = pi(r^2) or pi*-------------- = ---------------

                                                                             4pi^2               4pi

                                                                        (147 ft)^2

and in this case the area of the circle is A = --------------

                                                                              4 pi

or A = 1720 ft^2

Answer:

yes

Step-by-step explanation:

Step-by-step explanation:

5.03709

4.923935

√17

√12

Answer:

x = -6

Step-by-step explanation:

10 = 5(x+8)

=> 5(x+8) = 10

=> 5x + 40 = 10

=> 5x = 10 - 40

=> 5x = -30

=> x = -30/5

=> x = -6

Answer:

Hello hello

Step-by-step explanation:

Answer:

a square does not have a radius

Step-by-step explanation:

but you can find the area by squaring one side