The height of the ramp rise from the ground at its highest end to the nearest hundredth is 8.79 inches.
The situation forms a right angle triangle.
<h3>What is a right angle triangle?</h3>
A right angle triangle has one of its angles as 90 degrees. The sides can be found using trigonometric ratios.
Therefore, the hypotenuse of the right triangle formed is the length of the fiberboard.
The height of the ramp formed is the opposite side of the right triangle.
Hence,
sin 19° = opposite / hypotenuse
sin 19° = h / 27
cross multiply
h = 27 × sin 19°
h = 27 × 0.32556815445
h = 8.79034017034
h = 8.79 inches.
Therefore, the height of the ramp rise from the ground at its highest end to the nearest hundredth is 8.79 inches.
learn more on right triangle here: brainly.com/question/25566098
<h2>
Answer with explanation:</h2>
Given : A store owner claims that the proportion of shoppers who use coupons is less than 25%.
Then , the null hypothesis and the alternative hypothesis will be :-
, since the alternative hypothesis is left tailed , so the test is a left tailed test.
Also,t the test statistic for this hypothesis test is −1.17 and the critical value for this hypothesis test is −1.282 .
We know that when the test statistic value if greater than the critical value , then we reject the null hypothesis.
Here test statistic value(−1.17 ) is greater the critical value(−1.282) for this hypothesis , so we reject the null hypothesis.
So we conclude that there is enough evidence to support the claim.
Answer:
y= 2/3 x
Step-by-step explanation:
First plot the points on a Cartesian plan
You will notice a straight line passing through the origin (0,0)
Find the gradient of the line;
m=change in y/change in x
m=2-0/3-0 =2/3
Find the equation of the line
y-2/x-3 =2/3
3(y-2) = 2(x-3)
3y-6= 2x-6
3y=2x-6+6
3y=2x
y=2/3 x + 0
Answer:
0.08 m/s²
Step-by-step explanation:
a = (v − v₀) / t
a = (0.4 m/s − 0 m/s) / 5 s
a = 0.08 m/s²
2.1 divided by 3 is 0.7 if that’s what your looking for