A model rocket builder moved 50 feet away from the base before launching his model rocket straight up in to
the air. The rocket reached its maximum height when the angle of elevation from the observer was 84 degrees.
What is the maximum height reached by the rocket?

Answer:

A = 414.69 km^2

Step-by-step explanation:

A = 2 π r h + 2 π r^2

A = 2(30)(pi) + 2(36)(pi)

A = 132pi

A = 414.69 km^2

Answer:

He would have to invest $80,412.

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

Assuming an interest rate of 3,43% compounded quarterly.

This means that [tex]r = 0.0343, n = 4[/tex]

How much would he have to invest to have $148,700 after 18 years?

This is P for which [tex]t = 18, A(t) = 148700[/tex]. So

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

[tex]148700 = P(1 + \frac{0.0343}{4})^{72}[/tex]

[tex]P = \frac{148700}{(1 + \frac{0.0343}{4})^{72}}[/tex]

[tex]P = 80412[/tex]

He would have to invest $80,412.

Answer:

For question one: $8.28

For question two: 28 miles

Step-by-step explanation:

For question one: You divide 11.04 by 24 to get .46 the multiply that .46 by 18 to get 8.28

For question two: The ratio between the two is 7/2 and x/8. So to find x, you divide 8 by 2, getting 4. Then multiply that 4 by 7 to get 28.

Answer:5

Step-by-step explanation:

Answer:

3/2

Step-by-step explanation:

2y = 3x + 4

y = (3/2)x + 2

^ ^ ^ ^

y = m x + c

m = 3/2

Answer:

5 dummy

Step-by-step explanation:

Answer:

The Blue box is your answer

Step-by-step explanation:

Multiply 4, 8, and 7 and you get 224. The problem states that it should not be over 250, and 224 is not over 250. So the blue box is your best go.

Answer:

4700

Step-by-step explanation:

To find the area, the formula is to multiply the width and the length. That is what I did and got 47 hundred

Answer:

10 or any number >9

Step-by-step explanation:

Side AD is 9 units long so if the scale factor is greater than 1 you multiply that side by 1.  This will give you a number such as 10 or 18 or any number that is greater than 9.

Answer:

what the first person said

Step-by-step explanation:

Answer:

- and -. =+ so-9+12=3

Step-by-step explanation:

the minus changes to plus and then we solve

Answer:

Sally and Kent would have to each work a total of 15 hours to have the same amount of money in their checking account.

Step-by-step explanation:

Set up equations.

x = hours, T = total $

Sally:

T = 200 + 15x

Kent:

T = 245 + 12x

Set both equations equal to each other.

200 + 15x = 245 + 12x       (subtract 200 from both sides)

15x = 45 + 12x          (subtract 12x from both sides)

3x = 45            (divide both sides by 3)

x = 15

Answer:

500

Step-by-step explanation:

is 100 is 20%, multiply 100 by 5

Answer:

128

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

unit rate means 1 and it says that 15 per hour which shows that c is the answer

Answer:

C. Joe rides his bike 15 miles per1 hour.

Step-by-step explanation:

Key word: PER

Any time you see the words PER, EACH, stuff like that, it is unit rate. Hope this helps!

Answer:

43 inches

Step-by-step explanation:

9514 1404 393

Answer:

  16 square units

Step-by-step explanation:

When you plot the points, you see they define a trapezoid with bases of lengths 2 and 6, and a height of 4. The area formula is ...

  A = (1/2)(b1 +b2)h

  A = (1/2)(2 +6)(4) = 16

The area of the trapezoid is 16 square units.

Answer:

Step-by-step explanation:

4 triangles

Each of the 3 from the vertical ones has area

A = bh/2 = 10.12/2 = 60ft^2

The latter surface pointing down

A = bh/2 = 10.8.7/2 = 43.5 ft^2

SO summation of all

60+43.5 = 103.5 ft^2

Answer:

40

Step-by-step explanation:

Divide 2400 by 60 to get 40

Hope this helps!

Answer:

40

-step explanation:

Answer:

why is brainlys tutor system not free anymore

Step-by-step explanation:

I really need to know all of a sudden it's not free anymore

Answer:

A=L×W

600=L×30

600/30=L

L=20

therefore the length is 20m

The correct answer is pentagonal prism.

Answer:

x=9

Step-by-step explanation:

Thats your answer

Answer:

The answer is "When you don't deny the null hypothesis, you'll lose. Since a p-value of 0.4807 is higher than a level of significance of 0.05, the test also isn't statistically important".

Step-by-step explanation:

The state of the hypotheses values

Null hypothesis:

[tex]H_0:[/tex]There is still no connection between how the time a student invests studying for the test  and what kind of endurance sport he or she participates in.

Null hypothesis:

[tex]H_l :[/tex] There is indeed a connection between how the time a student invests studying for a test and the  type of endurance sport in that he or she participates.

Law of Rejection:

Null hypothesis value is rejects, when the P-value is less than or equal to 0.05. P-value is 0.4807,  which is greater than 0.05, based on the information provided.

Answer:

30 = 80 %

40= 20 %

Step-by-step explanation

I'm sorry for not writing how to do it but it's something like if 30 = 100 then if we had 40 occupying 20 percent of that acid then we will get 32 percent

The number of liters of each solution should be mixed to obtain 65 liters of 32% acid solution is 52 liters and 13 liters respectively.

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

Let x be 30% solution of acid and y be 40% solution of acid.

Total quantity of solution is 65 liters.

Now, x+y=65 ----------(i)

Number of liters of solution should be mixed to obtain 65 liters of 32% acid solution.

So, the equation is 30% of x+40% of y=32% of 65

0.30x+0.40y=0.32×65

0.30x+0.40y=20.8 ----------(ii)

From equation (i), x=65-y

Substitute x=65-y in equation (ii), we get

0.30(65-y)+0.40y=20.8

19.5-0.30y+0.40y=20.8

0.10y=20.8-19.5

0.10y=1.3

y=1.3/0.1

y=13

Substitute y=13 in equation (i), we get x=52

Therefore, the number of liters of each solution should be mixed to obtain 65 liters of 32% acid solution is 52 liters and 13 liters respectively.

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Answer:

H

Step-by-step explanation:

[tex]\frac{1}{4} + \frac{4}{5} = 1\frac{1}{20}[/tex]

Answer:

Hi, using L.C.M, It will be option H

Answer:

Step-by-step explanation:

any  combination that has as result 18

18 x1

9 x2

6x3

Answer:

15,235

Step-by-step explanation:

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bit.[tex]^{}[/tex]ly/3a8Nt8n

The probability of x<4 successes is P(X <4) = 0.01909.

Binomial distributions consist of n independent Bernoulli trials.

Bernoulli trials are those trials that end up randomly either on success (with probability p) or on failures( with probability 1- p = q (say))

Suppose we have random variable X pertaining to binomial distribution with parameters n and p, then it is written as

[tex]X \sim B(n,p)[/tex]

The probability that out of n trials, there'd be x successes is given by

[tex]P(X =x) = \: ^nC_xp^x(1-p)^{n-x}[/tex]

In this question:

​n=10 p=0.15 x<4

[tex]P(X =x) = \: ^nC_xp^x(1-p)^{n-x}\\\\\\P(X < 4) = \: ^{10}C_40.15^4(1-0.15)^{10-4}\\\\\\P(X < 4) = \: ^{10}C_40.00050625(0.85)^{6}\\\\\\P(X < 4) = 0.01909[/tex]

So, P(X <4) = 0.01909.

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Answer:

answer is 19.2 left ........