the circus arts program is one of the most popular activities at camp lohikan. it brings a level of excitement and enthusiasm to the camp experience that cant be found at home or in school. a circus artist is climbing a 20m long rope, which is tightly stretched and tied from the top of a vertical pole to the ground such that the angle made by the rope with the ground evel is 30 degree
i) find the height of the pole in the above situation.
ii) in the above situation, if the height of thepole is 3m and the length of rope is 6m then find angle ACB

Answers

Answer 1

Answer:

hi bro your classmate aleef here

Step-by-step explanation:

hi


Related Questions

The lateral area of a cone is 19.2π in2. The radius is 2.4 in. Find the slant height.

Answers

The slant height of a cone with lateral surface are of 19.2π inches squared and radius of 2.4 inches is 8 inches.

Lateral surface area of a cone

The formula for the lateral surface area of a cone is described as follows:

Lateral area = πrl

where

r = base radiusl = slant height

Therefore,

Lateral area = 19.2π inches²

r = 2.4 inches

Lateral area = π × 2.4 × l

19.2π = 2.4πl

divide both sides by 2.4π

l = 19.2π / 2.4π

l = 8 inches

learn more on cone here: https://brainly.com/question/27170515

HELPPPPP
Three students are randomly selected from 10 students of different weights.
Find the probability that the heaviest one out of the selected students is the 4th heaviest among the 10 students.

Answers

Answer:

3/100

Step-by-step explanation:

3 students out of 10 were chosen  and the fourth heaviest is 1/10

3/10 * 1/10 = 3/100

How do you find perimeter?

Answers

All you do is add up all of the side lengths, and you got the perimeter.

If a system has no solution, how does it look on the graph? What about infinite solutions?

Answers

Hi!

If a graph has no solutions, the lines will be parallel.

Lines have "solutions" when they intersect with eachother. If there are no solutions, the lines will not intersect. Only parallel lines don't intersect.

If a graph has infinite solutions, the lines will be the same.

If a line has infinite solutions, they have to constantly be intersecting. That means the lines will have to be directly on top of each other, meaning they will be the same line.

SEE BELOW for graphs. First graph = NO SOLUTIONS; Second graph = INFINITE SOLUTIONS

Explanation:

No solution:

A graph can only have no solutions if the two lines are parallel. These lines can only be parallel if they have the same slopes, but different y-intercepts. Please check attached graph (1) for illustration of no solution.

Infinitely many solutions:

A graph can have infinitely many solutions if the two lines overlap. This can only happen if both the equations are the same or if simplified, are equivalent. Please check attached graph (2 and 3) for illustration of infinitely many solutions.

a community service program, students earn points for two tasks: painting over graffiti and picking up trash. The
following constraints are imposed on the program.
1) A student may not serve more than 10 total hours
per
week.
2) A student must serve at least 1 hour per week at each task.
Let g = the number of hours a student spends in a week painting over graffiti.
Let t = the number of hours a student spends in a week picking up trash.
Write a system that represents the imposed constraints.

Answers

The system of equations that represents the imposed constraints is given as follows:

[tex]g + t \leq 10[/tex][tex]g \leq 1, t \leq 1[/tex]

What is a system of equations?

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

g = the number of hours a student spends in a week painting over graffiti.t = the number of hours a student spends in a week picking up trash.

A student may not serve more than 10 total hours per week, hence:

[tex]g + t \leq 10[/tex]

A student must serve at least 1 hour per week at each task, hence:

[tex]g \leq 1, t \leq 1[/tex]

More can be learned about a system of equations at https://brainly.com/question/24342899

#SPJ1

PLEASE HELP ME! WILL MARK BRAINLIEST!

Answers

Answer:

-1

Step by step explanation:

[tex]\dfrac{4^3/(-12+2^2)}{(2\cdot 3)^2+(-5 \cdot 2 \cdot 3) +2}\\\\\\=\dfrac{-\tfrac{64}8}{36-30+2}\\\\\\=-\dfrac{8}{8}\\\\=-1[/tex]

help me with this question please

Answers

Answer:

I'm sorry I don't know wish I could help you out

How do I solve this hmm

Answers

Answer:

put the numbers that are x into the equation. you always try to find y in this problem

Step-by-step explanation:

y=x+8

the first x is 0 so we do

y= 0+8

y=8

and you keep repeating this where x=1 and x= 2

Is -\dfrac{59}{3}+\dfrac{4}{63}−
3
59

+
63
4

minus, start fraction, 59, divided by, 3, end fraction, plus, start fraction, 4, divided by, 63, end fraction rational or irrational?

Answers

Answer:

it is rational

Step-by-step explanation:

trust me

A linear model is used to determine the amount owed on a loan of $5,000 with simple interest of 4.25%. The model is A = 5000 + 5000(0.0425t), where A is the Amount (total principal plus interest) required to
Use the model to determine how long it would take for the loan amount to reach $7,000. Round to the nearest tenth

Answers

Answer:

9.4

Step-by-step explanation:

Hey there!

The question is asking us to use the model to find how long it would take for the loan amount to reach 7,000

In order to answer this, we need to make 7,000 equal to the equation:

7000=5000+5000(0.0425t)

Subtract 5000 from both sides

2000=5000(0.0425t)

Now we simplify the RHS

2000 = 212.5t

Now you divide both sides by 212.5 to get t by itself

t=9.41

So it would take 9.4 months for the loan amount to reach 7000

plsss answer thiss.. i need it rn non sense answer will be reported​

Answers

Answer:

Answer below in the picture

I hope my answer helps you.


Which expression has a value of -12?

F (-10 + 4)= (11 - 9)
G (3 - 5).(-4 + 10)
H (5 – 7 +22) = (-2)
(7 - 10) (3 - 7)

Answers

Answer:

G.

Step-by-step explanation:

(3 - 5).(-4 + 10)

= -2 * 6

= -12.

Solve the equation 2×-31=3(×+2)

Answers

Answer:

x=-37

Step-by-step explanation:

First, rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation:

                    2*x-31-(3*(x+2))=0

(2x - 31) -  3 • (x + 2)  = 0

Pulling out like terms

3.1     Pull out like factors :

  -x - 37  =   -1 • (x + 37)

Equation at the end of step

 -x - 37  = 0

Solving a Single Variable Equation:

4.1      Solve  :    -x-37 = 0

Add  37  to both sides of the equation :

                     -x = 37

Multiply both sides of the equation by (-1) :  x = -37

Amy played 245 games of solitaire. She won 4 out of every 5 games. How many games did she lose?

Answers

Answer:

How much money did Amy wager on her games?

Step-by-step explanation:

Is she in debt?

Answer:

49

Step-by-step explanation:

So, you can just do 245x1/5.

I got 1/5 from "how many did she LOSE?"

5/5-4/5=1/5.

She lost 49 games.

Answer the questions below and show all of your
1. A toy is shaped as a triangular prism. The toy has a
base of 108 square inches. What is the height of the toy it
the volume is 729 cubic inches?

Answers

Answer:

6.75

Step-by-step explanation:

729=1/2*216h

729=108h

h=6.75

I think idrk

Which transformations take the graph of f(x) = e^x to the graph of g(x) = e^x+2 + 3 will mark Big brain

Answers

Transforming the function f(x) would change its formula to g(x)

The transformation of f(x) to g(x) are

Transform the function 2 units leftTransform the function 3 units up

How to determine the transformation?

The function is given as:

f(x) = e^x

Shift the function 2 units left

f'(x) = e^x + 2

Shift the function 3 units up

f''(x) = e^x + 2 + 3

Rewrite as:

g(x) = e^x + 2 + 3

Hence, the transformation of f(x) to g(x) are (b) and (c)

Read more about transformation at:

https://brainly.com/question/4057530

Please answer. I need it to be right.

Answers

Answer:

          75

-    _____________

        10x^4−27

Step-by-step explanation:

Answer:

Step-by-step explanation:

First we do all brcakets becuase we are following the law of BODMAS.

2×-5×3 = -10×3= -30

Now we do all powers and indices:

-5²= 25

10²= 100

3³ = 27

Now we do the top of the fraction:

25+100 = 125

Now we do the bottom bit of the fraction:

-30+27 = -3

Now we divide 125 by -3:

-41 2/3

-41.666.....

what would be the answer for a triangle with a hypotenuse of 7 and a leg of 5

Answers

Answer:

With this hypotenuse calculator you will quickly find this longest side of a right triangle. If you want to know what is the hypotenuse

Step-by-step explanation:With this hypotenuse calculator you will quickly find this longest side of a right triangle.

Which of the following represent the value of the missing side? Round to the nearest tenth.
A. 2.0
B. 2.5
C. 2.9
D. 3.0

Answers

Answer:

x=2.0

Step-by-step explanation:

Assuming side x is tangent to the circle, we know that this is a right triangle

One of the sides is the radius. We know the radius is 1.5 units long

The other is 1.5+1 units. The length of this side is 2.5 units.

Using the pythagorean theorem...

x²+1.5²=2.5²

x²=6.25-2.25

√x²=√4

x=2

Hope this helps!

The pressure on a scuba diver at sea level is 14.7 pounds per square inch (psi). The pressure increases 0.445 psi for each foot of depth. Suppose the pressure on a diver is 41.4 psi. How deep is she?

Answers

Answer:

14.7÷41.4=0.355

the answer is 0.355

I need help with 20.

Answers

Step-by-step explanation:

why ? you did it right there already.

the numerator is the top part of the fraction, the "counting" part (how many units of a certain type or size are there).

the denominator (the bottom part) is defining the type or size of units described by the fraction.

so, we are adding 4 to the numerator of 2/5, making it (2+4)/5 = 6/5

what do we need to add to the denominator (the bottom part) to make the fraction have the value of 1/2 ?

so, what x would make 6/x = 1/2 ?

6 = x/2

x = 6×2 = 12

so, we need to get 12 in the denominator, where we have currently 5.

therefore, we need to add 12-5 = 7 to it.

so that

6/(5+7) = 6/12 = 1/2

The following figure shows AABC with side lengths to the nearest tenth.
C
48
6
71
A
B
Find AB in AABC.
Round to the nearest tenth.

Answers

Answer:

AB = 4.7 to the nearest tenth

Step-by-step explanation:

Usine the Sine Rule:

6/sin71 = AB/sin48

AB = (6 * sin48)/ sin71

= 4.716

Answer this please thank you

Answers

B. Every third student entering the school in the morning

please help with 2 in the picture.

Answers

Answer:

4

Step-by-step explanation:

Bella baked a two layer cake.The bottom layer has dimensions of 4 inch x 6inch x 8inch.The dimensions of the top layer are half bottom.What is the volume of the top layer.

Answers

Answer:

30 is the answer because you need to multiple 4 and 6

Find the distance between (-3, -4) and (2, -4)

Answers

Answer:

[tex]\boxed{\sf{5}}[/tex]

Step-by-step explanation:

Distance can be calculated using a distance formula.

⇒ (-3,-4) and (2,-4)

Distance formula:

[tex]\Longrightarrow: \sf{\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} }[/tex]

The distance between (-3,-4) and (2,-4) are:

[tex]\Longrightarrow: \sf{\sqrt{\left(2-\left(-3\right)\right)^2+\left(-4-\left(-4\right)\right)^2}}[/tex]

Then, you solve.

[tex]\Longrightarrow:\sqrt{\left(2-\left(-3\right)\right)^2+\left(-4-\left(-4\right)\right)^2}=\boxed{\sf{5}}[/tex]

Therefore, the distance between (-3,-4) and (2,-4) is 5, which is our answer.

I hope this helps you! Let me know if my answer is wrong or not.

Help! Please!
Melanie bought a trampoline for her son. The price of the trampoline was $498.00 in a city where the sales tax is 6.7%. Find the sales tax and the total cost of the trampoline.

Sales tax: $_____

Answers

Answer:

$22.11. $23.41. $23.79.

Step-by-step explanation:

2.36 ÷ $32.00 = 0.0735. Sales tax was charged by the department store at a rate of 7.375%.

Answer: Mr. Smith should pay the department store $32.00 plus $2.36 in sales tax for a total bill of $34.36.

Sales tax rates vary from state to state. Retail sales tax rates are set by the individual states in the United States and vary from 0 to 9% of the sales price. Sales tax is usually the responsibility of the merchant to collect and submit to the state, and stated separately (or implicitly added at the time of the sale) to consumers. Let's look at some

Carly and Carter are comparing bedrooms. They are each getting new carpet and are trying to figure out which room will be the most expensive to cover with carpet. (The rooms are both rectangular) Carly's bedroom is 15.3 ft. long and 8.7 ft. wide. Carter's bedroom is 14.4 ft. long and 9.6 ft. wide. Which bedroom will be the most expensive to cover with carpet? Explain your steps for figuring out the area of the floor for each bedroom and determining your answer. Make sure to Show your math steps as well.

Answers

Answer:

Carter's bedroom would cost more to carpet than Carly's because the floor area of the former is about five square feet greater than the floor area of Carly's bedroom.

Step-by-step explanation:

The area of either of these floors is found by multiplying length by width:

A = L*W.

Carly's bedroom is 15.3 ft by 8.7 ft; multiplying, we get A = 133.11 ft^2

Carter's is 14.4 ft by 9.6 ft:  A = 138.24 ft^2

Carter's bedroom area (138.24 ft^2) is about 5 ft^2 larger than Carly's and would thus cost more to carpet.

Use the functions and the scenario to solve the problem.

f(x)=1/2x+6
g(x)=x−3

Shiloh and Leanne are asked to evaluate f(x)−g(x).

Shiloh suggests f(x)−g(x)=(x−3)−(1/2x+6)=1/2x−9.

Leanne suggests f(x)−g(x)=(12x+6)−(x−3)=−12x+9.

Evaluate each student's answer.

Select two answers. Select the correct evaluation of Shiloh's work and the correct evaluation of Leanne's work.

Answers

The function f(x) - g(x) is an illustration of a composite function

Leanne's end result of f(x) - g(x) = -1/2x + 9 is correct

How to estimate the student's answer?

The functions are given as:

f(x) = 1/2x + 6

g(x) = x - 3

The function f(x) - g(x) is calculated using:

f(x) - g(x) = 1/2x + 6 - x + 3

Collect like terms

f(x) - g(x) = 1/2x - x + 6  + 3

Evaluate the like terms

f(x) - g(x) = -1/2x + 9

By comparing the above solution to the students' response, we can see that:

Leanne's end result of f(x) - g(x) = -1/2x + 9 is correct

Read more about composite functions at:

https://brainly.com/question/13502804

Please help In triangle ABC, m∠A=47∘ and m∠B=70∘. What is the measure of angle C?

Answers

Answer: <C = 63°

Step-by-step explanation:

The interior angles in all triangles always equal 180°

47 + 70= 117

180 - 117 = 63°

<C = 63°

hope this helps :)

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