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Alecsey [184]
3 years ago
9

PLEASE HELP RIGHT AWAY

Mathematics
1 answer:
Ad libitum [116K]3 years ago
7 0

Answer:

I'm pretty sure It's 2172.20 (I may be wrong It's been a while since I did this)

Step-by-step explanation:

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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
Rainbow [258]

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.

4 0
3 years ago
Six times a number x and was added to 90 and the result is -42. What is the number​
ANTONII [103]

According to the question,

6x + 90 = -42

<h3>To Find:</h3>

The value of x.

<h3>Solution:</h3>

6x = -42 + 90

or, x = 48/6

or, x = 8

<h2>Answer:</h2>

The value of x is 8.

6 0
3 years ago
nicholas has $5000 to invest for retirement. his goal is to have at least $40000 in 30 years. if he finds an account with contin
MakcuM [25]
40000=5000e^30r
40000/5000=e^30r
R=(log(40000/5000)/log(e))/30)*100
R=6.93%
4 0
3 years ago
The sum of 1/6, 2/3, and 1/4 is
Oxana [17]
First, make all the denominators same.
Then calculate.
Hopefully this helps :D

3 0
3 years ago
9) Farmer Joe has lots of rabbits and lots of predators on his farm. Only 3 out of every 10 rabbits live
qaws [65]
<h2>Answer: 90 rabbits</h2>

<em></em>

<h3><em>Step-by-step explanation:</em></h3>

<em>you will need 10 for every 3 rabbits so if you count in tens and three's </em>

<em>3=10</em>

<em>6=20</em>

<em>9=30</em>

<em>and so on..</em>

<em>when you get to 27 you'll be at 90 </em>

<em>27=90 </em>

<em>hope u understand :></em>

8 0
2 years ago
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