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3 years ago

Find the value of x in the triangle.

Mathematics

1 answer:

Hatshy [7]3 years ago

3 0

Answer:

Step-by-step explanation:

The sum of measures of angles in triangle is allways 180°

So:

x + 53° + 60° = 180° {subtract 113° from both sides}

x = 67°

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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

4 years ago

Arrange 31/40, 78%, 0.7 in ascending order

Setler [38]

It would be first 31/40,0.7,78%

It might be wrong

5 0

3 years ago

Read 2 more answers

Carol has a collection of 100 stamps the graph below shows the percentage of stamps she has from each country. How many more of

Gala2k [10]

5 more. Since 29-24=5.

5 0

3 years ago

Can someone please help with

Fantom [35]

The answer is B, 4000.

3 0

3 years ago

3(2x-7=5-(1-x) pls help me

vekshin1

Answer:

3 • (2x - 7) - (x + 4) = 0

then do 3.1 Pull out like factors :

5x - 25 = 5 • (x - 5)

5 • (x - 5) = 0

4.2 Solve : x-5 = 0

Add 5 to both sides of the equation :

x = 5

Step-by-step explanation:

7 0

3 years ago