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The height is 8.4.

Calculated with H = V / πr^2, with H for height, V for volume, and r for radius (the diameter divided by 2).

Answer:

The length of the arc is 6.28 inches

Step-by-step explanation:

Given

[tex]\theta = 60[/tex]

Required

Length of the arc

This is calculated as:

[tex]L = \frac{\theta}{360} * 2\pi r[/tex]

So, we have:

[tex]L = \frac{60}{360} * 2 * \frac{22}{7} * 6[/tex]

[tex]L = \frac{15840}{2520}[/tex]

[tex]L = 6.28in[/tex]

Answer:

I think the answer is 75.

Step-by-step explanation:

because 35 + 70 is equal to 105. So now we will just subtract 105 by 180. which will give us 75.

Answer: Crissy is correct

Step-by-step explanation:

Given

The volume of the rectangular prism is [tex]360\ units^3[/tex]

The height of the prism is [tex]h=10\ units[/tex]

Suppose A is the area of the base

So, the volume is given by

[tex]\Rightarrow V=A\times h[/tex]

Insert the values

[tex]\Rightarrow 360=A\times 10\\\Rightarrow A=36\ \text{or}\ 6\times 6\ units^2[/tex]

As 36 is the perfect square of 6, therefore, the base is a square with the dimension of [tex]6\times 6\ units^2[/tex]

Crissy's claim is correct.  

Answer:

6  3/5

Step-by-step explanation:

finding the difference?

im guessing you might wanna ask your teacher? ummmmm....

Answer:

y = 0.5 (2)^x

Step-by-step explanation:

3rd option

you can plug in a coordinate point like (2, 2) to check this.

Answer:

Option (D)

Step-by-step explanation:

Given equation is,

[tex]8e^{2x+1}=4[/tex]

Taking natural log on both the sides of the equation,

[tex]\text{ln}(8e^{2x+1})=\text{ln}(4)[/tex]

[tex]\text{ln}(2^3)+\text{ln}(e^{2x+1})=\text{ln}(2^2)[/tex]

3ln(2) + (2x + 1)[ln(e)] = 2ln(2)

2n(2) - 3ln(2) = (2x + 1)

2x = -ln(2) - 1

[tex]2x=\text{ln}(\frac{1}{2})-1[/tex]  [Since, -ln(2) = ln(1) - ln(2) = [tex]\text{ln}(\frac{1}{2})[/tex]]

[tex]2x=\text{ln(0.5)}-1[/tex]

[tex]x=\frac{\text{ln(0.5)-1}}{2}[/tex]

Therefore, Option (D) will be the correct option.

Answer:

Step-by-step explanation:

f'(x)=-sin x

[tex]f'(x)=\frac{cos \frac{\pi }{3} -cos (\frac{-\pi }{3}) }{\frac{\pi }{3} -(\frac{-\pi }{3}) } \\-sin x=\frac{\frac{1}{2} -\frac{1}{2} }{\frac{\pi }{3} +\frac{\pi }{3} } \\sin x=0\\at x=c ,sin c=0,c=0[/tex]

c=0∈(-π/3,π/3)

Answer:

Solution given:

(x1,y1)=(-4,-5)

(x2,y2)=(0,-8)

distance=?

we have

distance=[tex] \sqrt{(x2-x1) ²+(y2-y1) ²}[/tex]

d=[tex] \sqrt{(0+4)²+(-8+5) ²}[/tex]

d=[tex] \sqrt{25}[/tex]

d=[tex] 5[/tex]units

[tex] 5[/tex]units I travelled.

Answer:

24

Step-by-step explanation:

Total number of students and adult per class = 28 + 7 = 35

Van capacity = 9

Number of classes = 6

Total number of students including adults = (35 * 6) = 210

Number of vans needed = total / van capacity

= 210 / 9

= 23.333

Atleast 24 vans

peeeeeeeeeeeeeeeeeeeeeeeeeenas

Answer:

B

Step-by-step explanation:

you are comparing percent to percent and total boys to total class.

Answer:

P/100=6/9

Step-by-step explanation:

P represent percentage and percentage is 100. so

Answer:

Radius, r = 2.50 inches

Step-by-step explanation:

Given the following data;

Slant height of cone = 6 inches

Lateral surface area (LSA) of cone = 47.1 sq inches

To find the radius of the cone;

Mathematically, the lateral surface area of a cone is given by the formula;

LSA = πrl

47.1 = 3.142 * r * 6

47.1 = 18.852r

Radius, r = 47.1/18.852

Radius, r = 2.50 inches

Answer:

i think its A

Step-by-step explanation:

if its not I'm sorry- um i think this cuz in the first figure where it says 8 its the same height side to side same thing with the 12. the second shape is also doing the same thing. really only thing that differes is the size. the second image is like a smaller version of the first one.

Answer:

1536 boys.

Step-by-step explanation:

Quite simple! 51.2% is 0.512, which we can use to calculate the number.

[tex]3000 * 0.512 = 1536[/tex] boys.

Alternative notation: 3000 * 51.2% = 1536

Answer:

[tex] \large{ \tt{☄ \: STEP- BY - STEP \: EXPLANATION}} : [/tex]

[tex] \large{ \bf{❃ \: (6x - 28) \degree = (4x + 20) \degree}}[/tex]

[tex] \large{ \bf{↬6x - 28 \degree = 4x + 20 \degree}}[/tex]

[tex] \large{ \bf{↬ \: 6x - 4x = 20 \degree + 28 \degree}}[/tex]

[tex] \large{ \bf{↬2x = 48 \degree}}[/tex]

[tex] \large{ \bf{↬x = \frac{48 \degree}{2}}} [/tex]

[tex] \large{ \bf{↬ \boxed{ \bf{x = 24 \degree}}}}[/tex]

[tex] \large{ \bf{⇢m \: RS = (6x - 28) \degree = (6 \times 24 - 28) \degree = \boxed{ \bf{116 \degree}}}}[/tex]

[tex] \large{\boxed{ \boxed{ \tt{⟿ \: OUR \: FINAL \: ANSWER : \boxed{ \underline{ \bf{116 \degree}}}}}}}[/tex]

[tex] \large{ \tt{✺ \: STUDY \: TIP}} : [/tex]

ツ Hope I helped! ۵

☼ Have a wonderful day / evening ! ☃

# StayInAndExplore ! ☂

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Answer:

B.

Step-by-step explanation:

$2.25 is the cost of each video that is rented, so $2.25 times v (or 2.25v) represents the cost of 'v' videos.

$20 is the constant, as it costs $20 to join the club. Since this doesn't change, it is the constant.

So, we would have the equation:

f(v) = 2.25v + 20

f(v) is the total cost.

B is your answer because it is the only one with the correct equation.

Hope this helps!

Answer:

81

Step-by-step explanation:

go hgv thx bgg TV vvt g h.c g ccx d

Answer:

3 can

Step-by-step explanation:

there

Answer:

i)  Speed and travel time

ii) Coffee and car

Step-by-step explanation:

i) Example of a pair of variable that have a negative Linear correlation

A negative correlated pair of variables simply means that the variables are inversely proportional to each other .and an example of such pair of variables is

Speed and Travel Time

Increase in speed causes a decrease in travel time. ( because the faster a car travels the shorter the travel time spent by the car while the slower a car travels the longer the travel time spent by the car )

ii) Example of a pair of variable with no linear correlation ( almost zero )

A close to zero linear correlation shows that there i no actual relationship between the variables.

Coffee and car

Increase or decrease in the cost of coffee will have no significant effect ( either negative or positive ) on the price of cars in the open market.

Answer:

Number 2 is 3:4.

Number 1 is d.

Step-by-step explanation:

Boxers and collies added together gives you 12:16. Divide them both by 4 and you get 3:4.

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The number of student in class 4 (6) divided by the total number of kids in the entire class (18) gives you 0.33333333333. Multiply that by 100 and it gives you 33.3333333333. As a percentage it is 33 1/2 %

Answer:

Use Cross product Or Multiply both sides by 6 to get x alone

x/6 = 4/5

Multiplying 6 on both sides

we have

x=4/5 x 6

x=24/5 = 4.8

The ratio of Lujain's earning to total earning is equal to $100.

Given the following data:

To determine the ratio of Lujain's earning to total earning:

In this exercise, you're required to calculate the total amount of money that Lujan would earn from the given ratio. Thus, we would solve as follows:

For a ratio of 10:

[tex]Amount=\frac{10}{24} \times 240\\\\Amount=\frac{2400}{24}[/tex]

Amount = $100.

Read more on ratio here: brainly.com/question/13513438

Answer:

C. Never

Step-by-step explanation:

The legs of a right triangle are never longer than the hypotenuse. Otherwise, the legs would never connect to the hypotenuse.

A = p(1+r)^t

1600 = p(1+0.08)¹⁰

P = 1600/2.1589

P= 741.12

741.12 dollar money did you originally deposit into your savings account!

Answer:

Simple interest:  Principal = $2000

Annual compound interest:  Principal = $1380.59

Step-by-step explanation:

As the question does not stipulate which type of interest was applied, please find below calculations for both simple interest and annual compound interest.

Simple Interest Formula

I = Prt

where:

Given:

Substitute the given values into the formula and solve for P:

[tex]\implies \sf 1600=P(0.08)(10)[/tex]

[tex]\implies \sf 1600=0.8P[/tex]

[tex]\implies \sf P=\dfrac{1600}{0.8}[/tex]

[tex]\implies \sf P=2000[/tex]

Therefore, the initial deposit (principal) was $2000.

.....................................................................................................

Annual Compound Interest Formula

[tex]\large \text{$ \sf I=P\left[\left(1+r\right)^{t} -1\right]$}[/tex]

where:

Given:

Substitute the given values into the formula and solve for P:

[tex]\implies \sf 1600=P\left[\left(1+0.08)^{10}-1\right][/tex]

[tex]\implies \sf 1600=P\left[\left(1.08)^{10}-1\right][/tex]

[tex]\implies \sf 1600=P\left[2.15892...-1\right][/tex]

[tex]\implies \sf 1600=P\left[1.15892...\right][/tex]

[tex]\implies \sf P=\dfrac{1600}{1.15892...}[/tex]

[tex]\implies \sf P=1380.5897...[/tex]

Therefore, the initial deposit (principal) was $1380.59 (nearest cent).

Learn more about simple interest here:

https://brainly.com/question/27743947

Learn more about compound interest here:

https://brainly.com/question/27747709

Answer:

1. y=5    x=8

2. x=9     y=5

3. x=12    z=4

Step-by-step explanation:

1.    4(5)+5(8)=60

2.   5(9)+3(5)=60

3.   4(12)+3(4)=60