A cylinder has a volume of 99 cubic inches. If a cone has the same height and radius as the cylinder, what is the volume of the cone, in cubic inches?

Answer:

Area = 0.785 yrd

Circumference = 12.56 yrd

Step-by-step explanation:

Diameter = 1 yrd

Area of a circle = pi times the radius squared

A = 3.14 (1/2)^2

A = 0.785

Circumference of a circle = 2 times pi times the radius

C = 2(3.14)(1/2)

C = 12.56

Answer:

12ft

Step-by-step explanation:

A=π r^2

113.04 = π r^2

113.04/ π = π r^2/ π

35.98=r^2

√35.98 =√r^2

r= 5.998

d=r*2

d=5.998*2

d=11.9969 rounded to 12 i guess

Answer:

Step-by-step explanation:

4[tex]x^{2}[/tex] - 6 = 394

4[tex]x^{2}[/tex]  = 400

[tex]x^{2}[/tex] = 100

x = 10

Answer:

13 3/4

Step-by-step explanation:

Answer:

[tex]M=\$605.58[/tex]

Step-by-step explanation:

From the question we are told that:

Issac's Debit [tex]P=\$8100[/tex]

Annual interest rate  [tex]r=21.9\%[/tex]

Number of payments [tex]n=16[/tex]

Generally the equation for Monthly payment  is mathematically given by

 [tex]M=\frac{Pr}{1-(1+r)^-^n}[/tex]

 [tex]M=\frac{1800*0.0219}{1-(1+0.0219)^-^{16}}[/tex]

 [tex]M=\$605.58[/tex]

Therefore Payment for each month is given as

 [tex]M=\$605.58[/tex]

Answer:

C. 17.5

Step-by-step explanation:

The current volume of the sandbox is 7×5×1 = 35 feet³

If six inches is added to the height, the new volume will be 7×5×1.5=52.5

To find the difference in how much the snadbox can hold, you can subtract. 52.5-35= 17.5

Answer:

x=−8 and y=8

Step-by-step explanation:

Answer:

(-8,8)

Step-by-step explanation:

Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.

9514 1404 393

Answer:

  $7350

Step-by-step explanation:

The tax deduction multiplies your income by 1 -16% = 84%. The expression of it as a monthly amount multiplies it by 1/12. So, your monthly take-home income is ...

  $105,000(0.84)(1/12) = $105,000(0.07) = $7,350

Your after-tax monthly income is $7350.

Answer:

a= -15

b= -0.5

c= 0.01

Step-by-step explanation:

a:   multiply 3 both sides so now it would be a = -15

b: do 12 - 12.5 = -0.5

c: -0.1 divided by -10 = 0.01

Answer:

24

Step-by-step explanation:

24

Answer:

1.5

Step-by-step explanation:

16 x 1.5 =24

24 is greater than 16 and less than 32

Answer:

x=5,y=-3

Step-by-step explanation:

[tex]\left \{ {{-6x+3y=-39} \atop {-6x-3y=-21}} \right. \\-12x=-60\\12x=60\\x=\frac{60}{12} \\x=5[/tex]

[tex]-6(5)+3y=-39\\-30+3y=-39\\3y=-39+30\\3y=-9\\y=-\frac{9}{3} \\y=-3[/tex]

Answer:

x=50°

Step-by-step explanation:

Add all the number. 110+99+101=310

Then, 360-310=answer(x)

Answer:

The range is 17

Step-by-step explanation:

67, 63, 72, 62, 64, 79, 74, 66

To find the range of the data, take the largest number and subtract the smallest number.

The largest number is 79

The smallest number is 62

79-62 = 17

The range is 17

Answer:

[tex]d = 787.81cm^3[/tex]

Step-by-step explanation:

Given

See attachment for the containers

Required

The difference in the amount of snow cone they hold

The amount they hold is determined by calculating the volume of the containers.

The traditional snow cone has the following dimension

Shape: Cone

[tex]r=4cm[/tex] --- radius

[tex]h = 13cm[/tex] --- height

The volume is calculated as:

[tex]Volume = \frac{1}{3} \pi r^2h[/tex]

So, we have:

[tex]V_1 = \frac{1}{3} \pi * 4^2 * 13[/tex]

[tex]V_1 = \frac{208}{3} \pi[/tex]

The snow cone in a cup has the following dimension

Shape: Cylinder

[tex]r=8cm[/tex] --- radius

[tex]h = 5cm[/tex] --- height

The volume is calculated as:

[tex]Volume = \pi r^2h[/tex]

So, we have:

[tex]V_2 = \pi *8^2 * 5[/tex]

[tex]V_2 = \pi *320[/tex]

[tex]V_2 = 320\pi[/tex]

The difference (d) in the amount they hold is:

[tex]d = V_2 - V_1[/tex]

[tex]d = 320\pi - \frac{208\pi}{3}[/tex]

Take LCM

[tex]d = \frac{3*320\pi -208\pi}{3}[/tex]

[tex]d = \frac{960\pi -208\pi}{3}[/tex]

[tex]d = \frac{752\pi}{3}[/tex]

Take [tex]\pi = 22/7[/tex]

[tex]d = \frac{752}{3} * \frac{22}{7}[/tex]

[tex]d = \frac{752 * 22}{3*7}[/tex]

[tex]d = \frac{16544}{21}[/tex]

[tex]d = 787.81cm^3[/tex]

Answer:

its 2

Step-by-step explanation:

Answer:

I think it's B but im not sure

hope this helps

have a good day :)

Step-by-step explanation:

Answer and Step-by-step explanation:

The functions f(x) is being put into the function of g(x).

[tex]\frac{2x + 3}{4}[/tex]

[tex]\frac{1}{2} x + \frac{3}{4}[/tex]

Our answer is Answer choice 2.

#teamtrees #PAW (Plant And Water)

Answer:

x^2 -11x+28

Step-by-step explanation:

See Image below. I hoped this helped :)

The tallest is 2 7/8

The shortest is 1 3/4

Difference = 2 7/8 - 1 3/4 = 1 1/8

Answer:

b^36

Step-by-step explanation:

Answer:

96/100, if they said simplify then its 24/25

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

Answer: [tex]882\ in.^2[/tex]

Step-by-step explanation:

Given

The surface area of the cube is [tex]294\ in.^2[/tex]

Surface area is increased by a scale factor of 3

Enlarged surface area is

[tex]\Rightarrow 294\times 3=882\ in.^2[/tex]

Answer:

y = 4

Step-by-step explanation:

2y - 6 = 2

add 6 to each side of the equation:

2y = 8

divide both sides by 2:

y = 4

Answer:

Step-by-step explanation:

1.Given Information :

Distance (d) = 1/4 miles

Time (t) = 36 seconds

Speed = ?

[tex]Speed = \frac{Distance (d)}{Time (t)}\\\\Speed= \frac{\frac{1}{4} mile }{36 seconds} \\\\Speed =\frac{1}{44}m/hr[/tex]

2.The unit rates are equal

Answer:

$23356.5

Step-by-step explanation:

Given data

Cost =  $34,500

rate= 7.5%

Time= 5 years

The expression for the depreciation is

A= P(1-r)^t

substitute

A= 34500(1-0.075)^5

A= 34500(0.925)^5

A= 34500*0.677

A=$23356.5

Hence the worth will be $23356.5

Answer:

range °° heights - lowest = 22-12 = 10

mean °° average number = sum of all numbers÷ number of digits = 173÷ 11 =15.727

Answer:

X = 64

Y = 18

Step-by-step explanation:

Para resolver un sistema de ecuaciones de dos incognitas por igualacion:

- Se despeja en ambas sub ecuaciones una incognita y se igualan, para determinar la respuesta del otro valor desconocido

Despejemos la Y en ambas operaciones:

Y = 82 - X

Y = (500 - 5X) 1/10

Y = 50 - 1/2X

Ahora igualamos

82 - x  =  50 - 1/2x

82 - 50 = -1/2x  + x

32 = 1/2x

x = 32 . 2

x = 64

Volvemos a las dos sub ecuaciones

Y = 82 - 64  →  18

Y = (500 - 5 . 64) / 10

Y = (500 - 320) / 10

Y = 180 / 10 → 18