Answer:
See explanation
Step-by-step explanation:
(4)
Using the sine ratio in the right triangle
sinΘ = 
= 
, thus
Θ = 
() ≈ 51.1°
(5)
Using the tangent ratio in the right triangle
tanΘ = 
= 
, thus
Θ = 
() ≈ 38.7°
Let's call the two numbers a and b. So we know that the difference of the two numbers is 36:
a - b = 36
And we know that their sum is 286:
a + b = 286
We can use either of these equations to solve for one of the variables in terms of the other variable. Let's use the first and solve for a:
a - b = 36
a = 36 + b
Now we plug this into the other equation and solve for b there:
(36 + b) + b = 286
36 + 2b = 286
2b = 250
b = 125
Answer: Subtract 6 from both sides. Then, one would get 3x=15. Divde by 3 on both sides. x=5.
Step-by-step explanation:
Answer:
x= -12
Step-by-step explanation:
Assuming this is a direct variation
y = kx
When y = -16 x =4 we can find k
-16 = k*4
Divide each side by 4
-16/4 = 4k/4
-4 =k
So
y = -4k
Y = 48
48 = -4x
Divide each side by -4
48/-4 = -4x/-4
-12 =x
Answer:
6<21
Step-by-step explanation:
