Answer:
x = 14.48
Step-by-step explanation:
first we have to see that we have the measurements from all sides
and we know that the angle between side 21 and 20 is 90 degrees
well to start we have to know the relationships between angles, legs and the hypotenuse.
a: adjacent
o: opposite
h: hypotenuse
sin α = o/h
cos α= a/h
tan α = o/a
let's take the left angle as α
sin α = 21/29
α = sin^-1 (21/29)
α = sin^-1 (0.7241)
α = 46.397
Now we do the same with the smaller triangle
tan α = o/a
sin 46.397 = x/20
0.724 = x/20
0.724 * 20 = x
14.48 = x
x = 14.48
if we want to check it we can do the same procedure with the other angle
Slope is
Then you use the equation
Where b is the y-intercept. To find it, plug in x and y from one of the points. Say, point 1 (1,10):
You know m (from above) and now you can solve for b.
Rearrange terms:
And that will be the answer.
Make sense?
That equation just equals ln(e^(-4/3)) which can be simplified to -4/3 because ln and e cancel each other out only leaving the power
Well,
it says The quatient of x and seven is 5 more than three times x
The quotient = x/7
three times x = 3x
x/7 = 3x + 5 This is the answer
Answer:
C
Step-by-step explanation:
Group like terms
= 2x - x +3 +5
Add the similar 'elements'
= x + 3 + 5
Add the numbers
3 + 5 = 8 + x
= x+8
