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
e-lub [12.9K]
3 years ago
7

A ball is tossed between three friends. The first toss is 8.6 feet, the second is 5.8 feet, and the third toss is 7.5 feet, whic

h takes the ball back to the starting point. What angles are formed by these tosses. Step by Step explanation.. Please
Mathematics
1 answer:
Rainbow [258]3 years ago
4 0

angles formed by these tosses are  79.45, 59.02 and 41.53 degrees to the nearest hundredth.

<u>Step-by-step explanation:</u>

Here , We have a triangle with sides of length 8.6 feet, 5.8 feet and 7.5 feet.

The Law of Cosines (also called the Cosine Rule) says:

c^2 = a^2 + b^2 - 2ab (cosx)

Using the Cosine Rule to find the measure of the angle opposite the side of length 8.6 feet:

⇒ c^2 = a^2 + b^2 - 2ab (cosx)

⇒ c^2 -a^2 - b^2 = -2ab (cosx)

⇒ (cosx) =\frac{ c^2 -a^2 - b^2}{ -2ab}

⇒ (cosx) =\frac{(8.6^2 - 5.8^2 - 7.5^2)}{ ( -2(5.8)7.5)}

⇒ (cosx) =0.18310

⇒ cos^{-1}(cosx) = cos^{-1}(0.18310)

⇒ x = 79.45

The Law of Sines (or Sine Rule) is very useful for solving triangles:

\frac{a}{sin A} = \frac{ b}{sin B} =  \frac{c}{sin C}

We can now find another angle using the sine rule:

⇒\frac{ 8.6 }{ sin 79.45} = \frac{7.5}{ sin Y}

⇒sin Y = \frac{(7.5 (sin 79.45))}{  8.6}

⇒Y = 59.02 degrees

So, the third angle =180 - 79.45 - 59.02 = 41.53 degrees.

Therefore, angles formed by these tosses are  79.45, 59.02 and 41.53 degrees to the nearest hundredth.

You might be interested in
Please help!!!!! I will Mark Brainliest :(((
asambeis [7]
The answer is 24.10!!!
8 0
3 years ago
Describe how the graph of y = x2 can be transformed to the graph of the given equation. y = (x+4)2
NNADVOKAT [17]
Moving 4 units to the left would change from y=x^2 to y=(x+4)^2.
6 0
3 years ago
Circle D was dialated to form circle D'. The diameter of circle D is 5 units and the diameter of circle D' is 15 units. What is
Sphinxa [80]

Answer:

Let A1 be original area

A2 dilated Area

A1=pi*d^2/4

=3.143*5^2/4

A1=19.63 unit square

A2= 3.143*15/4

A2=176.74 unit square

A2 is 9 times greater than A1

Hence the answer is B

Step-by-step explanation:

3 0
2 years ago
What ratio is the same as 60%
andriy [413]
6:10 or 3:5 I believe
Hope this helps!
3 0
3 years ago
Read 2 more answers
If the air temperature is −14°F, how many degrees must it rise to reach 0°F?
krek1111 [17]

Answer:

14°

Step-by-step explanation:

→Since the temperature is a negative number, for the degree to reach 0, you must add with the same number.

→The temperature is -14, so to get it to 0, you add 14:

-14 + 14 = 0

4 0
3 years ago
Read 2 more answers
Other questions:
  • How many lines are determined by two points? <br><br> 0 <br><br> 1 <br><br> 2 <br><br> infinite
    6·2 answers
  • Michael cycled a distance of 12 5/6 miles in 2/3 hours. What is his cycling unit rate in miles per hour?
    10·1 answer
  • Pls helppp What are the factors of the product represented below?​
    13·1 answer
  • Please answer this correctly.
    5·1 answer
  • Evaluate the expression. 2.15(3)2
    8·2 answers
  • Can someone pleasee help
    15·1 answer
  • If the surface of the water is at an elevation 0 meters, which person is located at an elevation
    8·1 answer
  • NEED HELP ASAP!!!!
    6·1 answer
  • CAN SOMEONE HELP PLEASE???
    12·2 answers
  • Which scatter plot shows a negative linear association?<br> A. <br><br> B. <br><br> C. <br><br> D.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!