answer.
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
katrin2010 [14]
2 years ago
12

Kari is flying a kite. She releases 50 feet of string. What is the approximate difference in the height of the kite when the str

ing makes a 25o angle with the ground and when the string makes a 45o angle with the ground? Round to the nearest tenth.
Mathematics
2 answers:
nirvana33 [79]2 years ago
5 0
Sinα=h/L  where h=height, L=string length...

h=Lsinα  so

h(25°)=50sin25≈21.1ft

h(45°)=50sin45≈35.4ft
Vika [28.1K]2 years ago
4 0

Answer: 14.2 feet.

<3 hope you do well

You might be interested in
Evaluate the integral. ∫50∫25−x2√−25−x2√∫25−x2−z2√−25−x2−z2√1(x2+y2+z2)1/2dydzdx∫05∫−25−x225−x2∫−25−x2−z225−x2−z21(x2+y2+z2)1/2d
Kipish [7]
Is that a valid question?
4 0
2 years ago
You ride your bicycle 40 meters. How many complete revolutions does the front wheel make?
Delicious77 [7]
First, we convert the given radius of the wheel to meters giving us an answre of 0.325 m. Then, we calculate for the circumference.
                                           C = 2πrr
Substituting,
                                          C = 2π(0.325 m) = 2.04 m
Then, we have a road that is 40 m long, the number of complete revolutions is,
                                      n = 40/2.04 m = 20 
7 0
1 year ago
HJ is twice JK. J is between H and K. If HJ= 4x and HK=78, find Jk.
ss7ja [257]
You'll find it easier to understand if you illustrate the problem as what is shown in the attached picture. From the illustration and the problem description, two equations can be formulated:

HJ = 2JK
HJ + JK = HK

2JK + JK = 78
3JK = 78
JK = 78/3
JK = 26

6 0
2 years ago
Examine the steps used to solve the equation.
Elina [12.6K]

Answer:

see below

Step-by-step explanation:

12.5x − 10.2 = 3(2.5x + 4.2) - 6  

Use the distributive property to distribute the 3

12.5x − 10.2 = 7.5x + 12.6 − 6  

Combine like terms

12.5x − 10.2 = 7.5x + 6.6  

Add 10.2 to each side of the equation by using the addition property of equality

12.5x = 7.5x + 16.8

Subtraction 7.5x from each side of the equation by using the subtraction property of equality

5x = 16.8  

Divide by 5 on each side by using the division property of equality

x = 3.36

6 0
2 years ago
Read 2 more answers
Barbara drives between Miami, Florida, and West Palm Beach, Florida. She drives 50 mi in clear weather and then encounters a thu
NeX [460]

Distance traveled in clear weather = 50 miles

Distance traveled in thunderstorm = 15 miles

Let speed in clear weather = x

⇒ Speed in thunderstorm = x-20

Total time taken for trip = 1.5 hours

We need to determine average speed in clear weather (i.e. x) and average speed in the thunderstorm (i.e. x-20 ).

Total time taken for trip = Time taken in clear weather + Time taken in thunderstorm

⇒ Total time taken for trip = \frac{Distance covered in clear weather}{Speed in clear weather} + \frac{Distance covered in thunderstorm}{Speed in thunderstorm}

⇒ 1.5 = \frac{50}{x} + \frac{15}{x-20}

⇒ 1.5 = \frac{50(x-20)+15(x)}{(x)(x-20)}

⇒ 15*x*(x-20) = 10*[50*(x-20)+15*x]

⇒ 15x² - 300x = 500x - 10,000 + 150x

⇒ 15x² - 300x = 650x - 10,000

⇒ 15x² - 950x + 10,000 = 0

⇒ 3x² - 190x + 2,000 = 0

The above equation is in the format of ax² + bx + c = 0

To determine the roots of the equation, we will first determine 'D'

D = b² - 4ac

⇒ D = (-190)² - 4*3*2,000

⇒ D = 36,100 - 24,000

⇒ D = 12,100

Now using the D to determine the two roots of the equation

Roots are: x₁ = \frac{-b+\sqrt{D}}{2a} ; x₂ = \frac{-b-\sqrt{D}}{2a}

⇒ x₁ = \frac{-(-190)+\sqrt{12,100}}{2*3} and x₂ = \frac{-(-190)-\sqrt{12,100}}{2*3}

⇒ x₁ = \frac{190+110}{6} and x₂ = \frac{190-110}{6}

⇒ x₁ = \frac{300}{6} and x₂ = \frac{80}{6}

⇒ x₁ = 50 and x₂ = 13.33

So speed in clear weather can be 50 mph or 13.33 mph. However, we know that in thunderstorm was 20 mph less than speed in clear weather.

If speed in clear weather is 13.33 mph then speed in thunderstorm would be negative, which is not possible since speed can't be negative.

Hence, the speed in clear weather would be 50 mph, and in thunderstorm would be 20 mph less, i.e. 30 mph.

7 0
2 years ago
Other questions:
  • In JKL, mJ = 90, mK = 30, and mL = 60. Which of the following statements about JKL are true?
    10·2 answers
  • What is another name for a natural number?
    11·2 answers
  • You are sending your friend a coded message by rearranging the letters in the word “STRIKE.” That is, your code can be any arran
    12·2 answers
  • Describe the general properties of rotations. Include a discussion of the properties of rigid transformations, and line segments
    13·2 answers
  • Sarah mailed her computer to Store B for repairs. Her bill was: Initial Repair Cost = $1,350 Sales Tax of 7 percent = $94.50 Tot
    6·2 answers
  • Construct a frequency distribution and a relative frequency distribution for the light bulb data with a class width of 20, start
    12·1 answer
  • A 16\dfrac1216 2 1 ​ 16, start fraction, 1, divided by, 2, end fraction kilometer stretch of road needs repairs. Workers can rep
    6·1 answer
  • A real estate agent wants to predict the selling price of single-family homes from the size of each house. A scatterplot created
    15·1 answer
  • Which expressions are equivalent to RootIndex 3 StartRoot 128 EndRoot Superscript x? Select three correct answers.
    12·2 answers
  • According to the food label on a box cookies, each box has 16 servings and each serving contains 4 cookies. The weight of the bo
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!