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frosja888 [35]
3 years ago
12

I can’t figure this out

Mathematics
1 answer:
zysi [14]3 years ago
6 0

Answer: -1/3 is the correct answer

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
2. Point A is located at (-8, -3) on the coordinate grid. If it is
musickatia [10]

Answer:

(-6, 6).

Step-by-step explanation:

The x-coordinate increases by 2 units and the y-coordinate by 9 units:

That is ( - 8 + 2, -3 + 9)

= (-6, 6).

7 0
3 years ago
PLEASE HELP ME WITH THIS! ASAPI WILL GIVE BRAINLIEST
elena-s [515]

Answer:

89⁷/₈ in

Step-by-step explanation:

The perimeter of a shape can be found by adding up the side lengths.

So, we have to find 20⁹/₁₆ + 23³/₈ + 21⁵/₁₆ + 24⁵/₈

Common denominator (16): 20⁹/₁₆ + 23⁶/₁₆ + 21⁵/₁₆ + 24¹⁰/₁₆

Add fractions: ⁹/₁₆ + ⁶/₁₆ + ⁵/₁₆ + ¹⁰/₁₆ = ³⁰/₁₆

Simplify: ³⁰/₁₆ = ¹⁵/₈ = 1⁷/₈

Add whole numbers: 1⁷/₈ + 20 + 23 + 21 + 24 = 89⁷/₈ in

3 0
3 years ago
I think of a number, multiply it by 3 and add 4 and i get 22
-BARSIC- [3]
A) 3x+4=22

B) x=6

How to solve the equation: subtract 4 from both sides. You’re left with 3x=18. What is 18 divided by 3?
5 0
3 years ago
I am bored, answer with the BEST answer and I will make you brainliest............
Arada [10]
If it took you (one person) 3 days to build a doghouse, then it should take 2 people to build it in half the time. So all we have to do is split 3 days in 2. 

3/2 = 1.5 
So it would take 1 1/2 days or 36 hours for 2 people to complete the doghouse.
3 0
3 years ago
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