Answer:
25.8 ft
Step-by-step explanation:
Draw a right triangle with the right angle at the foot of the tower. The interior angle of the triangle at the top is the complement of the angle of depression. 90 - 74 = 16; it measures 16°. The leg at the bottom has length x. The height of the tower is the vertical leg and is 90 ft. We are looking for x.
For the 16° angle, x is the opposite leg, and 90 ft is the adjacent leg.
tan A = opp/adj
tan 16° = x/(90 ft)
x = 90 ft * tan 16°
x = 25.8 ft
Answer: 25.8 ft
Solve for n in 270=120 + n*10. 120 gives you first 30 minutes and n is the number of additional 10 minutes you ride. In this case you ride for 30+n*10 minutes. n = (270-120)/10 = 15. So the total time is 30+15*10 = 180 minutes. Or three hours!! That’s a lot of bumper cars!!
Answer:
The Answer is: Josh hit 47 balls.
Step-by-step explanation:
Let j = Josh number of hits and c = Caiden number of hits:
j = c/2 + 9
Total:
j + c = 123.
Substitute:
(c/2 + 9) + c = 123
c/2 + c = 123 - 9
c/2 + c = 114
1/2c + 2/2c = 114
3/2c = 144
c = 144 (2/3) = 76, Number of hits for Caiden
Solve for j:
j = 76/2 + 9
j = 38 + 9 = 47, number of hits for Josh
Proof:
j + c = 123
47 + 76 = 123
123 = 123
Hope this helps! Have an Awesome Day!! :-)
Answer:
H1 : μ < 1225
Step-by-step explanation:
The alternative hypothesis in carrying out a statistical test could be explained as a notion which aims to displace or rival an initial position, the null hypothesis.
When declaring an hypothesis, the statement compares the initial or population mean in the hypothesis statement and not the result or outcome of the sample statistic.
In the scenario above :
The null is of the notion that :
H0 : μ = 1225 ;
Hence, the stance of the alternative which is that the mean is lower or less will be written as :
H1 : μ < 1225
