A flag pole has a rope that attaches to the ground from the top of the flagpole the rope create a 30° angle with the ground and is attached 10 m from the bottom of the pool how long is the rope in how tall is the flagpole

Answers

Answer 1

Answer:

[tex]5.77\ \text{m}[/tex]

[tex]11.54\ \text{m}[/tex]

Step-by-step explanation:

p = Height of pole

h = Length of role

b = Distance between the bottom of the rope and bottom of the pole = 10 m

[tex]\theta[/tex] = Angle between the rope and the ground = [tex]30^{\circ}[/tex]

[tex]\tan\theta=\dfrac{p}{b}\\\Rightarrow p=b\tan\theta\\\Rightarrow p=10\tan30^{\circ}\\\Rightarrow p=5.77\ \text{m}[/tex]

The length of the rope is [tex]5.77\ \text{m}[/tex]

[tex]\cos\theta=\dfrac{b}{h}\\\Rightarrow h=\dfrac{b}{\cos\theta}\\\Rightarrow h=\dfrac{10}{\cos30^{\circ}}\\\Rightarrow h=11.54\ \text{m}[/tex]

The length of the pole is [tex]11.54\ \text{m}[/tex]

A Flag Pole Has A Rope That Attaches To The Ground From The Top Of The Flagpole The Rope Create A 30

Related Questions

Samir and Christian had a total of 360 marbles Samir lost 28 marbles while Christian brought 18 more marbles both of them had an equal number of marbles in the end how many marbles did Samir have at the beginning ​

Answers

The answer to question is whether you want me some of your questions about the question of the answer to answer question i question is the B.

Step-by-step explanation:

Marbles altogether = 360

Marbles Samir Lost = 28

360 - 28 = 332

Marbles Christian bought 18

332 + 18 = 350

Marbles both had in the end = 350 ÷ 2 = 175

Marbles Samir have at the beginning = 175 + 28 = 203

Answer = 203

PLZZZ ANSWER!! Answers for points will be reported.

Triangle KLM has KL = 28, KM = 28, and LM = 21. What is the area of the triangle?
The area of AKLM is about
(Simplify your answer. Round to one decimal place as needed.)

Answers

Answer:

272.6

Step-by-step explanation:

This is an isosceles triangle with base of 21 and sides of 28.

Area formula

A = 1/2bh

Find height:

h = [tex]\sqrt{28^2 - (21/2)^2} = \sqrt{673.75} = 25.96[/tex]

Area:

A = 1/2(25.96)(21) = 272.6 (rounded)


What is the greatest common factor of 138 and 345?

Answers

Answer:

Step-by-step explanation:

Step by Step Solution. Calculate Greatest Common Factor for : 138, 345. Factorize of the above numbers : 138 = 2 • 3 • 23. 345 = 3 • 5 • 23. Build a prime factors table. ...

Why learn this.

Terms and topics. GCF calculator.

Related links. Greatest common factor (GCF) explained | Arithmetic (video) | Khan Academy. LCM on Purplemath.

Answer:

69 I believe.

Step-by-step explanation:

Manny buys 16 apples at the market and 8 oranges. what are the ratios of apples to oranges ?

Answers

Answer:

2:1 or 16:8

Step-by-step explanation:

Answer:

2:1

Apple: orange

Step-by-step explanation:

Divide the number of apples by the number of oranges

If you have $3250 how many board feet can you buy if the cost per board foot is $2.29?

Answers

Answer:

If i am right i think its 1419

Step-by-step explanation:

3250/2.29= about 1419

Answer:

1419.21= 1419

Step-by-step explanation:

Divide the amount of money you have with the cost price of what you want to buy.

$3250/$2.29=1419.213974

The answer is a decimal. But we can not have a unit as decimal so we have to round it down to the nearest whole number.

Therefore = 1419

Evaluate 2^9 (2 to the 9th power)

Answers

Answer:

512

Step-by-step explanation:

2^9 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 = 512

if you travel 35 miles per hour for 45 hours hovú far will you travle​

Answers

Answer: 1575 miles

Step-by-step explanation:

Let's take what we are given

35 miles an hour

45 hours

Let's now multiply them together to get our result

35x45

1575 miles in 45 hours

If you multiply 35 times 45 you will get your answer :)

Levi bought 5 pairs of jeans for $127.63. How much would he need to pay for 9 pairs of jeans?

Answers

Answer:

$229.73

Step-by-step explanation:

5 Pair of jeans = 127.63

divide by 5 to get 1 pair of jeans.

1 pair of jeans = 25. 526 rounded 25.53

times 9 to get to 9 pair of jeans.

9 pair of jeans = 229. 734 rounded 229.73

i need help asap!!!!​

Answers

Answer:

760 inches squared

Step-by-step explanation:

surface area -

4(14 x 10) + 2( 10 x 10) = 560+200=760

A new treatment for depression involves a one month stay on a Caribbean island and daily therapy sessions with a team of 8 professionals. A researcher knows that people with untreated depression miss an average of μ = 4.30 days of work per month (σ = 1.1). It was found that a random sample of 121 depressed individuals who underwent the new treatment missed an average of M = 4.08 days of work per month following treatment. Thus, the research question is: what is the impact of this treatment on absenteeism (i.e., days missed from work)?

Answers

Answer:

A

Step-by-step explanation:

Given a linear equation in the form y = ax, if a > 0 then the greater the coefficient a
a) the greater the slope of the equation
b) the smaller the slope of the equation
WILL MARK BRAINLIEST
c) the longer the line is
d) the shorter the line is

Answers

It’s b................................. .....

I was doing my homework when I come across this question, it says "substitute each given value of the variable to find which, if any, is a solution of the inequality." what does this mean?​

Answers

Answer:

Step-by-step explanation:

Perimeter (P) of the quarter circle is the curve + both sides.

Perimeter of the curve

Perimeter of the sides

2 sides = 2r

Step-by-step explanation:

Find angle x, giving your answer to 1 decimal place.
38°
х
11 cm
8 cm

Answers

Answer:

x = 55.8

Step-by-step explanation:

sinA/a + sinB/b

label any of them A (the angle) and opposite it will be a (the side)

[tex] \frac{ \sin(38) }{8} + \frac{ \sin(x) }{11} [/tex]

[tex]11 \times \frac{ \sin(38) }{8} [/tex]

(you can put ×11 the opposite area as well, it makes the same answer)

=0.84653452.....

[tex] \sin^{ - 1} (0.84653452)[/tex]

=57.83672257

Mrs. Liang said that 36%of the students in her math class earned a grade of B or higher. Which ratio represents the portion of students receiving a grade of B or higher to the total number of students in the class?

Answers

Answer:

36:45

Step-by-step explanation:

5(y +2/5) = -13


type the answer and how you got your answer and the best answer will get brainlist answer PLEASE IM BEGGING YOU TO HELP MEE

Answers

Answer:

y=-15

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

[tex]5(y + \frac{2}{5} ) = - 13 \\ 5y + 2 = - 13 \\ 5y = - 13 - 2 \\ y = \frac{ - 15}{5} \\ y = - 3[/tex]

therefore the value of y is equal to -3

pls help will mark brainliest

Answers

Answer:

80in²

Step-by-step explanation:

Hey There!

So the first step of this problem is to find the width of the scale drawing

To do so we need to find the scale factor

To find the scale factor we divide the length of the room by the length of the scale factor

32/8=4

so the scale factor is 4

now to find the width

40/4=10

so the width of the scale drawing is 10 in

now we can find the area given the length and the width

10x8=80in²

so we can conclude that the area of the scale drawing is 80in²

A rectangular painting has an area of 9.52 feet. What are three different ways in which this can happen. Give three unique length and width not using one.

Answers

Answer:

2 x 2 x 2.38

2 x 2.1 x 2.26

6 x .31 x 5.118

What is the area of the figure below?



15 in 2
20 in 2
30 in 2
25 in 2

Answers

Answer:

25 [tex]in^{2}[/tex]

Step-by-step explanation: we can move the little triangle on the side to the missing part of the square and it says the length of the little triangle is 2 so we can do 2+3 since the height of the square with the missing side is 3. then we end up with the height being 5 and the base being 5. we know that A=bh so we can do A=5x5 and get 25 in squared

pls mark me branliest!!

Answer:

25ft2

Step-by-step explanation:

1
Write the following:
a) 16 as a fraction of 152
b) 15 as a fraction of 210

Answers

Answer:

dddddweqwqq

Step-by-step explanation:

16/152 = 2/19 (simplified)
15/210 = 1/14 (simplified)

PLEASE HELP WILL MARK BRAINLIEST IF CORRECT
A farm is to be built in the shape of Quadrilateral ABCD, as shown below. All four sides are equal.

A rhombus ABCD is shown with diagonal AC equal to 16.8 feet and diagonal BD equal to 11.9 feet

What is the area of the farm?

57.4 square feet
99.96 square feet
114.8 square feet
133.28 square feet

Answers

Answer:

99.96

but trust me I'm bad with big numbers but I think this ones right.

Answer:

99.96

Step-by-step explanation:

Solve: (x −6)−(4.5−x )= −1.5
PLZ HELP

Answers

Answer:

x=9/2 Hope this helps!

Step-by-step explanation:

Let's solve your equation step-by-step.

x−6−(4.5−x)=−1.5

Step 1: Simplify both sides of the equation.

x−6−(4.5−x)=−1.5

x−6+−1(4.5−x)=−1.5(Distribute the Negative Sign)

x+−6+(−1)(4.5)+−1(−x)=−1.5

x+−6+−4.5+x=−1.5

(x+x)+(−6+−4.5)=−1.5(Combine Like Terms)

2x+−10.5=−1.5

2x−10.5=−1.5

Step 2: Add 10.5 to both sides.

2x−10.5+10.5=−1.5+10.5

2x=9

Step 3: Divide both sides by 2.

2x/2=9/2

x=9/2

Answer is 9/2.

Triangle A has side lengths of 14 in, 12 in, and 6 in.
Triangle B has side lengths of 7 in, 6 in, and 3 in.
Which shows the proportions written correctly?

Answers

Answer:

The last one which you was on is correct.

Which expression is equal to x + (f+g)? (1 point)

Answers

Answer:

x + f(x) + g(x)

Step-by-step explanation:

(f+g) = f(x) + g(x)

Therefore, x + (f+g) = x + f(x) + g(x)

If you are given equations to go with f(x) and g(x), you would plug in those equations to the above expression then combine like terms to find the fully simplified expression equal to x + (f+g).

2. Write a function that models the relationships among x, y, and r. (Hint: Use the Pythagorean theorem.) Then solve the equation for rin terms of x and y. (3 points: 1 point for the correct Pythagorean setup, 1 point for work, 1 point for the solution

Answers

The function that models the relationships among x, y, and r is [tex]r=\sqrt{x^2+y^2}[/tex]

What is a function?"It defines a relation between input and output values.""In function, for each input values there is exactly one output."What is right triangle?

"It is a triangle having one of the angle measures 90° "

What is hypotenuse?

"It is the longest side of the right triangle."

What is Pythagoras theorem?

"For a right triangle,

[tex]a^2+b^2=c^2[/tex], where c is the hypotenuse of the right triangle and a, b are other two sides of right triangle."

For given question,

We need to write a function that models the relationships among x, y, and r.

Consider a right triangle ABC.

where AB = x, BC = y and hypotenuse AC = r

Using Pythagoras theorem,

[tex]x^{2} + y^{2} =r^{2}[/tex]

above function defines the relationships among x, y, and r.

Now we solve above equation for 'r',

[tex]\Rightarrow r^2=x^2+y^2\\\\\Rightarrow r=\sqrt{x^2+y^2}[/tex]

Therefore, the function that models the relationships among x, y, and r is [tex]r=\sqrt{x^2+y^2}[/tex]

Learn more about function here:

https://brainly.com/question/12431044

#SPJ2

Answer:

Look below!

Step-by-step explanation:

1. What is the horizontal distance that your bridge must span to clear the ravine? (1 point)

150 feet.

2. Write a function that models the relationships among x, y, and r. (Hint: Use the Pythagorean theorem.) Then solve the equation for r in terms of x and y. (3 points: 1 point for the correct Pythagorean setup, 1 point for work, 1 point for the solution)

Pythagorean theorem—>a^2+b^2=c^2

a and b are the legs, while c is the hypotenuse.

x^2+y^2=r^2

Take the root of both sides

r=√x^2+y^2

I need help with this !

Answers

The length of the third side is 13 because it’s a “5-12-13” triangle it’s a formula

Answer: Try using calculatorsoup dot com Significant Figures auto Don't put m in the answer there's No Unit(s)

a = 12 m

b = 5 m

c = 13 m

P = 30 m

s = 15 m

K = 30 m2

ha = 5 m

hb = 12 m

hc = 4.6153846153846 m

Step-by-step explanation:

A triangle has side lengths 4.9cm 7.3cm and 8cm the angle measures are 36 degree 64° and 80°.?

1. Acute scalene
2. Acute isosceles
3. Obtuse isosceles
4. Obtuse scalene

Pls help ASAP because I need it :(

Answers

it is 1. acute scalene

i need help! i’m not sure what’s going on

Answers

Answer:one of them is m=3/1 y=3x+10

Step-by-step explanation:i

Solve the expression

Answers

Answer:

y - 12 = 89

y - 12 + 12 = 89 + 12

y = 101

Shaun is 1.88 m tall.
David is 6 cm taller than Shaun.
How tall is David

Answers

1.88m= 188 cm. 188cm+6cm=194cm

David is 1.94 meters tall.

Given that,

Shaun is 1.88 meters tall.

David is stated to be 6 centimeters taller than Shaun.

To determine David's height, we need to add the additional height to Shaun's height.

Since there are 100 centimeters in a meter, we can convert the 6 centimeters to meters by dividing it by 100: 6 cm / 100 = 0.06 meters.

Now, we can add this height to Shaun's height to find David's height:

1.88 meters + 0.06 meters = 1.94 meters.

Therefore, David is 1.94 meters tall.

Learn more about arithmetical operations click;

https://brainly.com/question/30553381

#SPJ6

Someone please explain how to do this!!

Answers

Answer:

o because the square is not of 4

45 is the area bc you divide the shape into a triangle and a rectangle and get the area of both and then add them together
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