Answer:
The equation relates the variables is y = 8x ⇒ D
Step-by-step explanation:
If x and y vary directly (y ∝ x), then y = k x, where
- k is the constant of variation
- k can be found using the initial value of x and y
∵ The variable x and y vary directly
∴ y ∝ x
→ By using the rule above
∴ y = k x
∵ y = 40 when x = 5
∴ The initial values of x and y are x = 5 and y = 40
→ Substitute them in the equation above to find k
∵ 40 = k(5)
∴ 40 = 5k
→ Divide both sides by 5
∵ 
= 
∴ 8 = k
→ Substitute the value of k in the equation above
∴ y = 8x
∴ The equation relates the variables is y = 8x
16.5ft squared
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You have to go at this in a round-about fashion...by finding the length of the leg across from the 67 degree angle. This is found by using the tangent ratio...Tan(67)=x/137; x=137tan(67) = 322.8. Now you can use this in one of two ways: use Pythagorean's Theorem to find the length of the hypotenuse OR you could use the sin67=322.8/x. Up to you. Either way, make sure you have your calculator in degree mode!
1.50 pounds.
(dont have pound symbol, only $)
Answer:
ACB=44°
DCE=35°
BCD=101°
Step-by-step explanation:
ACB is a triangle and all triangles are 180 degrees
78+58=136
180-136=44
DCE is also a triangle
85+60=145
180-145=35
a straight line is 180 degrees, we already know what the other two is.
35+44=79
180-79=101
