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3 years ago

Find the side length, x, of the given triangle.

Mathematics

1 answer:

OLga [1]3 years ago

3 0

Answer:

Step-by-step explanation:

You have to use the Law of Cosines here. Filling in the formula for it:

$x^2=30^2+23^2-2(30)(23)cos66$

Simplifying a bit:

$x^2=900+529-1380cos66$

1380 times the cosine of 66 = 561.2965674, so

$x^2=1429-561.2965674$ and

$x^2=867.7034326$ so

x = 29.456

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3 years ago

Read 2 more answers

100 points!!!! Solve for a 7a - 2b = 5a + b a = 2b a = 3b a = 3/2b a=2/3b

Llana [10]

Answer:

Therefore solution for a is

$a=\frac{3b}{2}$

Step-by-step explanation:

Given:

7a - 2b = 5a + b

To Find:

a = ?

Solution:

7a - 2b = 5a + b .................Given

First take all the 'a' terms to the left hand side and 'b' terms to the right-hand side of the equation,

∴ $7a-5a=2b+b\\\\2a=3b$

Now dividing by 2 on both the side we get

∴ $\frac{2a}{2} =\frac{3b}{2} \\\\\therefore a=\frac{3b}{2}$

Therefore solution for a is

$a=\frac{3b}{2}$

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