the radius of a cylindrical water tank is 4ft, and it’s height is 10ft. What is the volume of the tank?

Answer:

True

Step-by-step explanation:

Right angles (shown on the diagram) are perpindicular by definition.

A percentage is a way to describe a part of a whole. The amount of the sales tax is $10.5.

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Given the taxable amount of the sale is $150, while the Sales tax percentage is 7%. Therefore, the amount of sales tax is,

Amount of sales tax = 7% of $150 = 0.07 × 150 = $10.5

Hence, the amount of the sales tax is $10.5.

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Answer:

The team scored more free throws in fewer attempts (68 versus 66) and, furthermore, if the same amount of free throws had been attempted, the number of hits with that percentage would be 72. Therefore , it can be stated that the team significantly improved its free throw percentage.

Step-by-step explanation:

Given that in an early home game, an NBA team made 70.21 percent of their 94 free throw attempts, and in one of their last home games, the team had a free throw percentage equal to 76.4 percent out of 89 attempts, to determine if the team significantly improved its free throw percentage, the following calculation must be performed:

100 = 94

70.21 = X

70.21 x 94/100 = X

66 = X

100 = 89

76.4 = X

76.4 x 89/100 = X

68 = X

100 = 94

76.4 = X

76.4 x 94/100 = X

72 = X

Therefore, at first glance, the team scored more free throws in fewer attempts (68 versus 66) and, furthermore, if the same amount of free throws had been attempted, the number of hits with that percentage would be 72. Therefore , it can be stated that the team significantly improved its free throw percentage.

Answer:

7065 cm^3

Step-by-step explanation:

tell me if you got it wrong

Answer:

Carson can't mail the package

The reasoning for why he can't mail it is because in every foot there is 12 inches and if u multiply 12 by 7 you get 84 meaning Carson's package is larger then 7ft

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Answer:

θ ≈ 17.1°

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan θ = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{4}{13}[/tex] , then

θ = [tex]tan^{-1}[/tex] ([tex]\frac{4}{13}[/tex] ) ≈ 17.1° ( to the nearest tenth )

Answer:

{-2, 0, 4}

Step-by-step explanation:

Domain is defined as all the inputs possible to a function.

On a graph, you may know this as the value of x.

This means the domain is equal to all values of x that produce an output.

The only values of x that have a point on them is x = 4, x = 0, and x = -2, all of which have points on the x-value.

Answer:

20 years

Step-by-step explanation:

9000/ 100= 900 = 10%

900/2= 450

450 x 2= 900

900 x 10= 9000

Now we multiply 10 by 2 because we doubled the value of our 450 into a 900 and now we get 20.

Compound interest is the interest that is made from the principal and the interest as well in consecutive years.

The number of years it will take to double the investment is 15 years.

Compound interest is the interest that is made from the principal and the interest as well in consecutive years.

We have,

Principal = $9000

Rate = 5%

The formula is given as:

A = p [tex](1 + \frac{R}{100} )^{n}[/tex]

n = number of years

Double the investment:

Amount = 2 x 9000 = 18000

Now,

18000 = 9000 [tex](1 + \frac{R}{100} )^{n}[/tex]

2 = [tex](1 + 0.05)^{n}[/tex]

2 = [tex]1.05^{n}[/tex]

Taking log on both sides.

[ log a² = 2 log a ]

log 2 = n log 1.05

0.30 = n 0.02

n = 0.30 / 0.02

n = 15

Thus,

The number of years it will take to double the investment is 15 years.

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Answer:

the answer is 1 hshshebehdbdbdbbsbd

Step-by-step explanation:

+3 +3

6x=6

6/6=1

Answer:

Additive

Step-by-step explanation:

Answer:

- 1. 5 as decimal

-3 / 2 as a fraction

Step-by-step explanation:

hey dear the answer is 0.185

Answer: Draw a dot, then draw a line from that dot, then at the end of the line draw a arrow. Label the dot L, and put another dot in the center of the line and label it M.

Answer:

c

Step-by-step explanation:

Answer:

b they are both solution

Answer:

16

Step-by-step explanation:

For rectangular prisms you do L, W, H.

4 = Length

x

2 = Width

x

2 = Height

=

Volume = 2 x 2 x 4 = 16

~ LadyBrain

Answer:

smaller r = -8

larger r = 2

vertex of the parabola

(-8,2)

Step-by-step explanation:

Answer:

6 people left

Step-by-step explanation:

4 behind him 8 infront 6 left from infront leaving 4 behind 2 infront

Answer:

Explanation:

x = the number of students in front of peter

y = the number of students behind peter

z = the number of students who left, for 3 < z < 9 ∴ z ∈ {4, 8}

system of equations:

x = 2y ⇒ y = x/2 (defining y with x)

2(x-z) = y (lets substitute y)

2(x-z) = x/2

2x-2z = x/2

2(2x-2z) = x

4x-4z = x

4x-x = 4z

3x = 4z

if z = 6 (i pluged the numbers from 4 to 8)

then

3x = 4×6

3x = 24

x = 24/3

x = 8

∴ y = 4

8 students were in front of peter and 4 were behind him

6 left

now 2 students are in front of peter and 4 are behind him

8 is twice 4

8-6 = 2

4 is twice 2

Answer: -7

Step-by-step explanation:

-30 = 5(x + 1)

-30 = 5x + 5.  ( After distrbuting the 5)

-5.            -5

-30 - 5. = 5x

-35 = 5x

x = -7

Answer:

[tex]y = \frac{1}{2} x[/tex]

Answer:

D, they eat so consumers.

Step-by-step explanation:

Answer:

x≥8

Step-by-step explanation:

Answer:

x ≥ 8

Step-by-step explanation:

Subtract 3x from both sides:

2x - 7 ≥ 9

Then add 7 to both sides:

2x ≥ 16, or

x ≥ 8

Answer:

[tex]M = 4.67[/tex]

Step-by-step explanation:

Given

[tex]Data: 3, 7, 8, 12, 16, 18[/tex]

Required

The mean absolute deviation

Start by calculating the mean

[tex]\bar x = \frac{\sum x}{n}[/tex]

[tex]\bar x = \frac{3+ 7+ 8+ 12+ 16+ 18}{6}[/tex]

[tex]\bar x = \frac{64}{6}[/tex]

[tex]\bar x = 10.67[/tex]

The mean absolute deviation is then calculated using:

[tex]M = \frac{1}{n}\sum\limits^n_{i=1}|x _i - \bar x|[/tex]

So, we have:

[tex]M = \frac{1}{6}(|3 - 10.67| +|7 - 10.67| + |8 - 10.67| + |12 - 10.67| + |16 - 10.67| + |18 - 10.67|)[/tex]

[tex]M = \frac{1}{6}(|-7.67| +|- 3.67| + |-2.67| + |1.33| + |5.33| + |7.33|)[/tex]

Remove absolute brackets

[tex]M = \frac{1}{6}(7.67 +3.67 + 2.67 + 1.33 + 5.33 + 7.33)[/tex]

[tex]M = \frac{1}{6}*28[/tex]

[tex]M = 4.67[/tex]

First find the area of one side.

The area of the side of a cube is s^2 where s is the length if one edge.

The edge length is given as 2/3, so the area of a side is 2/3^2 which is equal to 2/3 x 2/3 = 4/9 square units.

A cube has 6 sides so now to find the surface area of the cube multiply the area of one side by 6 sides:

4/9 square units x 6 = (4 x6)/9 = 24/9 which can be rewritten as 2 2/3 square units

The answer is 2 2/3 units^2

Answer:

To get the Angle

Cos=46/59

tita=

[tex] {cos}^{ - 1} [/tex]

46/59

tita=37.667

tita=38°

Answer:

1. Dot Plot

2, The histogram

Answer:

Option C, sin(Ф) = 7/25

Hope this helps!

Answer:

The price per wind chime that will maximize revenue = $ 315

Step-by-step explanation:

Given - A gift shop sells 160 wind chimes per month at $150 each. the owners estimate that for each $15 increase in price, they will sell 5 fewer wind chimes per month.

To find - Find the price per wind chime that will maximize revenue.

Proof -

Given that,

Total Wind chimes selling = 160

Price of each Wind chime = $150

Now,

Given that, for each $15 increase in price, they will sell 5 fewer wind chimes per month.

So,

Let the price = 150 + 15x

So,

Number of wind Chimes sold per month = 160 - 5x

So,

Total Revenue, R = (150 + 15x)(160 - 5x)

                             = 24000 - 750x + 2400x - 75x²

                             = 24000 + 1650x - 75x²

⇒R(x) = 24000 + 1650x - 75x²

Differentiate R with respect to x , we get

R'(x) = 1650 - 150x

Now,

For Maximize Revenue, Put R'(x) = 0

⇒1650 - 150x = 0

⇒150x = 1650

⇒x = 1650/150

⇒x = 11

∴ we get

Price per Wind chime = $ 150 + 15(11)

                                    = $ 150 + 165

                                    = $ 315

So,

The price per wind chime that will maximize revenue = $ 315

The measure of angle ADC in quadrilateral ABCD is; 115°

From the given quadrilateral ABCD, we see that ∠A = 115°

Now, we see that AB is congruent to CD and also AD is congruent to BC.

Since, we have such congruency it means that ∠A = ∠D.

Thus, ∠ADC = 115°

In conclusion, we can say that ∠ADC is 115°

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