Answer:
25.99
Step-by-step explanation:
SOH CAH TOA
(sin = opposite / hypotenuse
cos = adjacent / hypotenuse
tan = opposite / adjacent)
For the angle measurement provided (38 degrees), we know the opposite leg value, and we need to find the hypotenuse
the measurement of sin (opposite / hypotenuse) relates these two measurements
we can plug in our known values into sin:
sin = opposite / hypotenuse
sin (38) = 16 / x
(note: sin 38 = 0.61566147532, which we can round to 0.61566)
0.61566 = 16 / x
· x ·x {multiply both sides by x to get rid of fraction}
0.61566(x) = 16
÷ 0.61566 ÷0.61566 {divide both sides by 0.61566 to isolate 1x}
x = 25.9883702043
{round to nearest hundredth}
x = 25.99
so, the measure of x is 25.99 {rounded to the nearest hundredth}
hope this helps!! have a lovely day :)
c. 35 + 50x ≤ 1,325
Step-by-step explanation:
Abbey's total cost must be less then or equal to her total savings, i.e.
cost ≤ savings
it is given that cost = fixed registration fee and a monthly fee of $50 per month. Hence,
fixed registration + (monthly fee)*(number of months) ≤ savings
let the number of months be x,
hence
35 + 50x ≤ 1325(c)
Answer:
I believe the answer is m=30
Step-by-step explanation:
How I got this answer:
first cross multiply
9(m+3) = 11(m-3)
9 m - 11 m = -33 -27
-2m = -60
m= 30 - (Check if the solution is in the defined range).