Answer: y = 3.5 x+ 43.8
Step-by-step explanation:
Here x represents the number of years after 1990
Thus, we get the table that is used to find the equation will be,
x 0 2 4 6 8
y 45 51 57 61 75
Let the equation that shows the above data,
y = b + a x ---------(1)
By the above table,
By substituting these values in the above value of a and b,
We get b = 43.8 and a = 3.5
Substitute this value in equation (1)
we get, the equation that shows the given data is,
y = 3.5 x + 43.8
⇒ Option (3) is correct.
Answer:
Hypotenuse MN = 10.54 ft (Approx.)
Step-by-step explanation:
Given:
Base OM = 9.6 ft
Angle θ = 13'
Find:
Hypotenuse MN
Computation:
Using trigonometry function
Cos θ = Base / Hypotenuse
Cos 13 = 9.6 / Hypotenuse
0.97 = 9.6 / Hypotenuse
Hypotenuse MN = 10.54 ft (Approx.)
Answer:
Step-by-step explanation:
to solve this problem we can use the Pythagorean theorem
UT and TL are the legs, while LU is the hypotenuse
We have to find LU so we can proceed like this
x^2 + (x+1)^2 = LU^2
x^2 + x^2 + 1 + 2x = LU^2
2x^2 + 2x + 1 = LU^2
LU = +/- 
we have to take only the positive value because a length can’t be negative.
2x^2 + 2x + 1 is positive for every value of x, so the final answer is
Answer:
Step-by-step explanation:
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