Answer:
22/25
Step-by-step explanation:
Applying the trigonometry ratios, we have:
a. CD = 63.6
b. CD = 33.8
c. CD = 16.1
d. CD = 15.9
<h3>What are the Trigonometry Ratios?</h3>
The trigonometry ratios are used to find a length or angle in any right triangle. They are:
- SOH, which is sin ∅ = opp/hyp
- CAH, which is cos ∅ = adj/hyp
- TOA, which is tan ∅ = opp/adj
a. ∅ = 32°
hyp = 75
adj = CD
Apply CAH:
cos 32 = CD/75
CD = cos 32 × 75
CD = 63.6
b. ∅ = 56°
opp = 28
hyp = CD
Apply SOH:
sin 56 = 28/CD
CD = 28/sin 56
CD = 33.8
c. ∅ = 43°
opp = 15
adj = CD
Apply TOA:
tan 43 = 15/CD
CD = 15/tan 43
CD = 16.1
d. ∅ = 27°
hyp = 35
opp = CD
Apply SOH:
sin 27 = CD/35
CD = sin 27 × 35
CD = 15.9
Learn more about the trigonometry ratios on:
brainly.com/question/10417664
Answer:
Inverse of g(x)=x+15/3
Step-by-step explanation:
g(x)=3x-15
Let, g(x) be y
y=3x-15
Interchange x and y
x=3y-15
x+15=3y
y=x+15/3
Answer:
2x - 0.4x ;
8x/5 ;
Yes
Step-by-step explanation:
Let number of miles = x
Arlene:
Double number of miles = 2 * x = 2x
Subtract 20% of the result :
2x - 20% of 2x ;
2x - 0.4x
Raul:
Divides Number of miles by 5 ; x / 5
Multiplies result by 8 ;
8 * (x/5) = 8x /5
To know if expressions are equivalent :
Let x = 10 miles
Using Arlene's expression:
2x - 0.4x
x = 10
2(10) - 0.4(10) = 16
Using Raul's expression :
8x / 5
(8*10) / 5
80/5
= 16
Since they give the same result, we can conclude that the expression are equivalent
Answer:
42
Step-by-step explanation:
First I'm going to assume that C and A are perpendicular.
Because its perpendicular, this creates a 90 degree angle which can be used to create the following equation.
Reduce
11x = 88
x = 8
We then plug in 8 into the equation 6x - 6 in order to solve for that angle.
6(8) - 6
42
