Answer:
<em>x=74.73°</em>
Step-by-step explanation:
<u>Law of cosines</u>
In a general triangle, the law of cosines relates the lengths of the sides of the triangle to the cosine of one of its angles.
The law of cosine is expressed as:
Where a and b are the lengths of two sides of the triangle, x is the angle contained between them, and c is the other side length.
If all side lengths are known, we can solve the above equation for the angle x:
From the image, we must select a and b as the sides adjacent to angle x in any order. Thus a=17, b=22, c=24. Substituting:
Operating:
Using a scientific calculator:
x=74.73°
630 points.
You have to multiply 105 and 6, resulting as the answer.
Answer:
x=-5/3
Step-by-step explanation:
6x+7=3x+2
6x-3x=2-7
3x=-5
x=-5/3
Part (a)
Locate x = -1 on the x axis. Draw a vertical line through this x value until you reach the f(x) curve. Then move horizontally until you reach the y axis. You should arrive at y = 4. Check out the diagram below to see what I mean.
Since f(-1) = 4, this means we can then say
g( f(-1) ) = g( 4 ) = 4
To evaluate g(4), we'll follow the same idea as what we did with f(x). However, we'll start at x = 4 and draw a vertical line until we reach the g(x) curve this time.
<h3>
Answer: 4</h3>
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Part (b)
We use the same idea as part (a)
f(-2) = 5
g( f(-2) ) = g(5) = 6
<h3>
Answer: 6</h3>
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Part (c)
Same idea as the last two parts. We start on the inside and work toward the outside. Keep in mind that g(x) is now the inner function for this part and for part (d) as well.
g(1) = -2
f( g(1) ) = f(-2) = 5
<h3>
Answer: 5</h3>
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Part (d)
Same idea as part (c)
g(2) = 0
f( g(2) ) = f( 0 ) = 3
<h3>
Answer: 3</h3>
Answer:
I'm assuming it's like this : 5*2/25 which will be 0.4, which is 40%
