Answer:
a. 53
Step-by-step explanation:
The side with length 15 is opposite the right angle, so it is the hypotenuse of the right triangle.
For angle x, the side measuring 12 is the opposite leg.
Our 3 items of interest are: angle, opposite leg, hypotenuse.
The trig ratio that relates the opposite leg to the hypotenuse is the sine ratio.
sin x = opp/hyp
sin x = 12/15
sin x = 0.8
Now we take the inverse sine of 0.8 to find the measure of the angle.
x = sin^(-1) 0.8 = 53 deg
Answer:
7. 8200 miles
8. $350
Step-by-step explanation:
7. The first trip nets 3400 miles; the next four trips (for a total of five) net 1200 miles each, so the total for 5 round trips is ...
... 3400 + 4×1200 = 8200 . . . miles
8. The first month costs $100; the next 5 months (for a total of 6) cost $50 each, so the total for 6 months is ...
... $100 + 5×$50 = $350
Answer:
<em><u>125 as a fraction is 1/8.</u></em>
<u>0.125 = 125/1000. We can reduce this to lowest terms by dividing the numerator and denominator by 125 to get the equivalent fraction 1/8.</u>
Step-by-step explanation:
hey mate hope it cleared your problem!!
Answer:
3x² - 17
Step-by-step explanation:
f(x) = 3x +1
g(x) = x² - 6
f(g(x)) = f(x² - 6)
Now (x² - 6) is the (x) for function f.
=> f(x) = 3x +1 = 3(x² - 6) + 1 = 3x² - 18 + 1
=> 3x² - 17
Answer:
27°
Step-by-step explanation:
angle A + angle B + angle C=180 degree (sum of interior angles of a triangle )
angle A +90 + 63 =180
angle A +153 = 180
angle A =180 - 153
angle A =27 degree
