1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Elena-2011 [213]
3 years ago
11

A child is flying a kite 145ft above the ground. The string makes an angle of 57 degrees from the child's hands. How much has be

en let out to fly the kite this high?
Mathematics
1 answer:
Arturiano [62]3 years ago
7 0

Answer: the length of string that been let out to fly the kite this high is 172.89 ft

Step-by-step explanation:

The length of string attached to the kite, the vertical height of the kite above the ground and the ground distance forms a right angle triangle.

With an angle of 57 degrees, the length of the string that is attached to the kite represents the hypotenuse of the right angle triangle.

The height of the kite above the ground represents the opposite side of the triangle

To determine h, the length of the string that has been let out to fly the kite this high, we would apply the

Sine trigonometric ratio which is expressed as

Sine θ = opposite side/hypotenuse

Sin 57 = 145/h

h = 145/Sin57 = 145/0.8387

h = 172.89

You might be interested in
Evaluate the expression begin expression . . . 2 times n, times, the quantity n minus 1 . . . end expression, when n = 3 . A 11
arsen [322]

Answer:

B (12)

Step-by-step explanation:

The expression can be written as the following:

(2n)(n-1)

Let n=3

(2*3)(3-1)=(6)(2)=12

So the answer is B (12).

6 0
3 years ago
Solve this equation. (3x+10)−(2x−9)=43
Rus_ich [418]

Answer: X = 24

Step-by-step explanation:

Move all terms to the left:

(3x + 10) - (2x - 9) - 43 = 0

Get rid of all the parenthesis:

3x + 10 - 2x - 9 - 43 = 0

Add all the numbers and all variable:

x-24 = 0

Move all terms containing x to the left and all other terms to the right:

x = 24

4 0
2 years ago
Read 2 more answers
Frank says that for any whole number n, the value of 6n-1 is always prime. Is Frank correct? Explain your answer.​
Lady bird [3.3K]

Answer:

Frank is wrong

Step-by-step explanation:

6(6) - 1 = 35

35 is a multiply by 5 so it is not a prime number.

8 0
3 years ago
If three dozen cookies cost $9, what is the cost per cookie?
masha68 [24]
Each cookie will cost 40 cents
8 0
3 years ago
Read 2 more answers
Find how many quarts of 6?% butterfat milk and 3?% butterfat milk should be mixed to yield 30 quarts of 5?% butterfat milk
Mrrafil [7]

Answer:

The 20  quarts are used for 6% butterfat milk and 10 quarts are used for  3% butterfat milk .

Step-by-step explanation:

As given

6% butterfat milk and 3% butterfat milk should be mixed to yield 30 quarts of 5% butterfat milk .

Let us assume that x quarts are used for 6% butterfat milk .

Than (30 - x) quarts are used for 3% butterfat milk .

6% is written in the decimal form

= \frac{6}{100}

= 0.06

3% is written in the decimal form

= \frac{3}{100}

= 0.03

5% is written in the decimal form

= \frac{5}{100}

= 0.05

Than the equation becomes

0.06 × x + (30 - x) × 0.03 = 30 × 0.05

0.06x + 0.9 - 0.03x = 1.5

0.06x  - 0.03x = 1.5 - 0.9

0.03x  = 0.6

x = \frac{0.6}{0.03}

x = 20 quarts for 6% butterfat milk  .

(30 - x ) = (30 - 20) = 10 quarts for 3% butterfat milk  .

Than 20  quarts are used for 6% butterfat milk and 10 quarts are used for  3% butterfat milk .




5 0
3 years ago
Other questions:
  • Cedric is constructing a kite in the shape of a rhombus.The spars of the kite measure 15 inches and 24 inches.How many fabric wi
    9·1 answer
  • A certain quantity decays exponentially over time. The initial quantity at t = 0 is 1,000. The quantity decays at a rate of 2%.
    7·2 answers
  • What are the integer solutions of the inequality |x| < 3?
    12·1 answer
  • You are paid $8.10 an hour at your part-time job your deductions are FICA 7.65% federal tax withholding 9.35% and state tax with
    9·1 answer
  • Scientific notation for <br> 78 million
    12·2 answers
  • If f(x)= (3+x)/(x-3), what is f(a+2)
    8·1 answer
  • Convert: (a) 250 liters to kiloliters, (b) 4.5 liters to milliliters.​
    14·1 answer
  • HURRY!!!!! Hey guys help me with this PI question. Pi = 3.14<br>Thank you!
    12·1 answer
  • What is the nth term for 2 3 5 13
    5·2 answers
  • If p is true and q is false, what is the truth value of p or q?<br><br> 1<br> 0<br> true<br> false
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!