Answer:
John = 82 Billy = 82 Gregg = 80 Bob = 55
Step-by-step explanation:
John = (3x38)+(2x0)-(2x8)-(2x8)
Billy = (3x30)+(2x4)-(2x3)-(2x5)
Gregg = (3x30)+(2x3)-(2x4)-(2x4)
Bob = (3x25)+(2x6)-(2x9)-(2x7)
Answer:
if 4 is 120° then 2 is also 180° since they are opposite angles.
We use trigonometry because we know an angle and a side length. We are looking for one of the sides that isn't the hypotenuse:
As illustrated by the picture I made below:
We know both unknown angles will be 45 degrees, as there are 180 degrees in a triangle, we know the triangle is a right angle triangle (has 90 degrees) so, (180-90)/2 = 45
Using
SOH CAH TOA, short for : SIN- OH COS- AH TAN- OA
We are looking for the one with H, as we know what H is.
I am picking "
SIN- OH", but we could use "
COS- AH"
The formula for this is:
Sin(angle) = O/H
<u /><u>We substitute the angle (45) and the length for H (16)
</u>
Sin(45)= O/16
<- rearrange it
Sin(45)*16= O
<- Solve in the calculator
13.6145 (4 DP)= O
The legs = O
The legs have a length of "13.6145 (4 DP)" each
<span>The answer is 5. The question wants you to compose the functions to get g(x) composed of f(x). Typically, when composing functions your substitute the second function into the first function in place of x. However, the function g(x) is constant at 5 since it has no x values. g(x)=5 means that g(x) is 5 at all values of x. Thus, in this case, it doesn't matter that we are doing a composition because the top-level function is g(x) and g(x) is 5 no matter what.</span>