Jake volunteers to help out his younger brother's basketball team in his free time. One of his tasks is to ensure that all the basketballs have enough air in them. Given that a properly inflated basketball measures 8.8 inches across, what is the total volume of air inside six of Jake’s basketballs? Assume that the wall of each ball is infinitely thin.

Answer:

See below.

Step-by-step explanation:

sin(71) = x/23

x = sin(71) * 23

x = 21.75

Answer:

21.75 (2 digit after decimal)

Step-by-step explanation:

Sin theta = perpendicular/hypotenuse

sin 71=x/23

23 sin 71=x

x=21.747

Answer:

125 people

Step-by-step explanation:

P( green) = number of green / total

                = 25/120

                 =5/24

Multiply this probability by 600

5/24 * 600 =125

Answer:

out of 120 people 25 people has chosen green

out of 1 people green will be chosen by 25/120 people

out of 600 people green colour will be chosen by( 25/120)×600 people =25×5=people

Answer:

3

Step-by-step explanation:

x=(5x-13)

so you work that equation out

take the 5x to the side of x and equate it to what you get

x=5x-13

5x+x=13+5

6x = 18 = x=3

6 6

x=3

Answer:

3/5

Step-by-step explanation:

[tex]Sin A = \frac{4}{5}=\frac{oppsite side}{hypotenuse}[/tex]

Adjacent side² = hypotenuse² - opposite side²

= 5² - 4²

= 25 - 16

= 9

Adjacent side = √9 = 3

Cos A = [tex]\frac{Adjacent side}{hypotenuse} = \frac{3}{5}[/tex]

Sin = 4/5 = Perpendicular/hypotenuse

CosA = Base/hypotenuse

Base = √hyp. ^- prep.^

Base= 3/5

Answer:

x=4 and y=−2

Step-by-step explanation:

Let's solve your system by substitution.

3x+8y=−4;2x−4y=16

Step: Solve 3x+8y=−4 for x:

3x+8y=−4

3x+8y+−8y=−4+−8y(Add -8y to both sides)

3x=−8y−4

3x/3=−8y−4/3 (Divide both sides by 3)

x=−8/3y+−4/3

Step: Substitute −8/3y+−4/3 for x in 2x−4y=16:

2x−4y=16

2(−8/3y+−4/3)−4y=16

−28/3y+−8/3=16 (Simplify both sides of the equation)

−28/3y+−8/3+8/3=16+8/3 (Add 8/3 to both sides)

−28/3y=56/3

−28/3y/−28/3=56/3/−28/3 (Divide both sides by (-28)/3)

y=−2

Step: Substitute−2 for y in x=−8/3y+−4/3:

x=−8/3y+−4/3

x=−8/3(−2)+−4/3

x=4 (Simplify both sides of the equation)

So the Answers are: x=4 and y=−2 or u can switch it around y=−2 and x=4

Answer:

4.8 inches.

Step-by-step explanation:

By using the scale given, you can divide the actual length by the scale (48 ft/10 ft to find it in inches).

When done, it gives you 4.8 inches as the answer.

Answer:

12, It's simple, all you have to do is divide 48 by 4

easy ^-^

Answer:    *gives my pancakes away*   There enjoy <;3

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

You do the opposite to the numbers when plugging them into the equation and what they equal will be the radius squared.

6 goes to -6 and -1 turns to 1.

7.4 squared= 54.76

Standard equation of the circle with center (6,-1) and radius 7.4 is [tex](x-6)^{2}+(y+1)^{2} = 54.76[/tex]

Option (C) is correct

"A circle is a round-shaped figure that has no corners or edges. In geometry, a circle can be defined as a closed, two-dimensional curved shape."

"The center of a circle is the point which is equidistant from all points on the circle."

"The constant distance between the center and any point of the circle is called its radius."

We have,

Center (h, k) = (6,-1)

Radius r = 7.4

We know,

Standard equation of the circle is [tex](x-h)^{2}+(y-k)^{2}=r^{2}[/tex]

Substitute the values of h, k, r in standard equation of circle

[tex](x-6)^{2}+(y+1)^{2}=(7.4)^{2}[/tex]

⇒[tex](x-6)^{2}+(y+1)^{2} = 54.76[/tex]

Hence, Standard equation of the circle with center (6,-1) and radius 7.4 is [tex](x-6)^{2}+(y+1)^{2} =54.76[/tex]

∴ Option (C) is correct

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Answer:

The slope is 2 and the y intercept is 6

Step-by-step explanation:

y = 2x+6

This is in slope intercept form

y = mx+b where m is the slope and b is the y intercept

The slope is 2 and the y intercept is 6

Answer:

2

Step-by-step explanation:

slope intercept form is

y = mx + b

m is the slope and b is the y-intercept

y = 2x + 6

m = 2

Slope is 2

Answer: B

Step-by-step explanation:

Answer:

the answers B

Step-by-step explanation:

I foreal have to wait 32 seconds just to send this 14 seconds left lol wyd 3 seconds

The required values are :

[tex] \longrightarrow \mathrm{BC = 8 \: \: cm}[/tex]

and

[tex] \longrightarrow \mathrm{AC = 10 \: \: cm}[/tex]

[tex] \mathrm{✌TeeNForeveR✌}[/tex]

Answer:

x =6

Step-by-step explanation:

The angles are alternate interior angles and alternate interior angles are equal

7x = x+36

Subtract x from each side

7x -x = x+36-x

6x = 36

Divide by 6

6x/6 = 36/6

x = 6

[tex] \cos(theta) = \frac{60}{61} [/tex]

Answer:

144 = arc DF

Step-by-step explanation:

Inscribed Angle = 1/2 Intercepted Arc

72 = 1/2  arc DF

Multiply by 2

2*72 = arc DF

144 = arc DF

Answer:

24.25 feet

Step-by-step explanation:

Answer:

I think y=,48x+2 is correct

The equation y = 2x - 48 represents y, the profit earned by the hot dog stand for x hot dogs sold. Hence, 3rd option is the right choice.

Equations are relations between two equal expressions, usually used to find the values of unknown variables using the constants and the values of other variables (if any).

In the question, we are informed that the profit earned by a hot dog stand is a linear function.

We are also informed that it costs the owner $48 each morning for the day's supply and that he earns $2 profit on each hot dog he sells.

We are asked to find the equation of profit y, for the number of hot dogs sold x.

The basic cost to the owner is $48. This will be his fixed cost, irrespective of the number of hot dogs he sells.

His profit on one hot dog is $2. So, his profit on x number of hot dogs sold will be $2x.

His total profit will be equal to the profits he earned by selling x hot dogs minus the basic cost he needs to pay.

∴ Profit earned = Profit on x hot dogs - Basic cost

or, y = 2x - 48.

∴ The equation y = 2x - 48 represents y, the profit earned by the hot dog stand for x hot dogs sold. Hence, 3rd option is the right choice.

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Answer:

B

Step-by-step explanation:

It should be B

Answer:

Volume of the cylinder = 250π inch²

Step-by-step explanation:

Surface area of the cylinder is given by,

Surface area = 4πr²

Here, r = radius of the sphere

Since, surface area = 100π square inches

100π = 4πr²

r² = 25

r = 5

From the picture attached,

Height of the cylinder = diameter of the sphere

                                    = 2(r)

                                    = 2(5)

                                    = 10 inches

Volume of the cylinder is given by,

Volume = πr²h

Here, r = radius of the cylinder

h = height of the cylinder

Therefore, Volume of the cylinder = π(5)²(10)

                                                          = 250π square inches

Answer:

The mapping statements (-3,7) -> (-9,10) and (1, -5)-> (-5, -2) describe the same translation.

Step-by-step explanation:

In a translation, we have that:

(x,y) -> (x+a,y+b)

In which a and b are how much the values change.

(6.-9) -> (0,1)

x subtracted by 6, y added by 10. So, the translation rule is:

(x,y) -> (x - 6, y + 10).

(-3,7) -> (-9,10)

x subtracted by 6, y added by 3. So

(x,y) -> (x - 6, y + 3).

(1, -5)-> (-5, -2)

x subtracted by 6, y added by 3. So

(x,y) -> (x - 6, y + 3)

Same rule as the above, so the mapping statements (-3,7) -> (-9,10) and (1, -5)-> (-5, -2) describe the same translation.

(2, 4) -> (-4,1)

x subtracted by 6, y subtracted by 3. So

(x,y) -> (x - 6, y - 3)

Answer:

a=3

Step-by-step explanation:

Given :

1:a :: 5: 15

To find a

a=15×1/5

a=3

Therefore, value of a =3

Answer:

y = - 3x - 8

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - 3 , then

y = - 3x + c ← is the partial equation

To find c substitute (- 1, - 5) into the partial equation

- 5 = 3 + c ⇒ c = - 5 - 3 = - 8

y = - 3x - 8 ← equation of line

Answer:

y = -3x + -4

Step-by-step explanation:

y = mx + b

to find the y-intercept we need to add or subtract (in this case it's add) a number to x to get to 0.

x = -1.

to get to 0, you need to add one

do that same thing to y

[tex](-1, -5) + (1, 1) = (0, -4)[/tex] therefore the y-intercept (or b) is negative 4.

7 x 180 = 1260

1260/2 = 630 is the answer

Answer:

630

Step-by-step explanation:

Answer:

A. 3x +3

B. 10x + 4

C. 30x - 50

D. -12x - 21

Step-by-step explanation:

A. 3(x + 1)

1. Multiply 3 times x = 3x

2. Multiply 3 times 1 = 3

3. Put them together 3x + 3

4. Repeat process for other problems.

Let me know if you have any other questions :)

Answer:

ratio is 1/2

Step-by-step explanation:

r=8/16 =1/2

Answer:

1/2

Step-by-step explanation:

16 * 1/2 = 8

8 * 1/2 = 4

4 * 1/2 = 2

Hope this helps!

Answer:

x = 5/2

Step-by-step explanation:

4x-2 = 8

Add 2 to each side

4x-2+2 = 8+2

4x = 10

Divide by 4

4x/4 =10/4

x = 5/2

Answer:

x = 2.5

Step-by-step explanation:

4x - 2 = 8

4x = 8+2

4x = 10

x = 10/4

x = 2.5

Answer:

Area of the shaded region = (6x + 3)

Step-by-step explanation:

Area of the shaded region = Area of the large rectangle - Area of the small rectangle

Area of the large rectangle = Length × Width

                                             = (x + 2)(x + 2)

                                             = (x + 2)²

                                             = x² + 4x + 4

Area of the small rectangle = (x - 1)(x - 1)

                                             = (x - 1)²

                                             = x² - 2x + 1

Area of the shaded region  = (x² + 4x + 4) - (x² - 2x + 1)

                                             = 6x + 3

Area of the shaded region = (6x + 3)

Answer:

8/35 cubic inches

Step-by-step explanation:

Volume is length x width x height. To find the answer, we must multiply all values together. 2/3 times 3/5 ix 6/15. Let's simplify this before multiplying further. 6/15 can also be written as 2/5. 2/5 times 4/7 is 8/35 which cannot be simplified. 8/35 is the final answer.

Answer:

x = 7

S.A.S

Step-by-step explanation:

2x + 14 = 4x

2x = 14

x = 7