In ΔHIJ, the measure of ∠J=90°, HI = 6.7 feet, and JH = 4.8 feet. Find the measure of ∠I to the nearest degree.
1 answer:
You might be interested in
Answer:
The null hypothesis is
Step-by-step explanation:
According to the Centers for Disease Control and Prevention, the proportion of U.S. adults age 25 or older who smoke is .22
This means that at the null hypothesis, it is tested if the proportion is in fact 0.22, that is:
A researcher suspects that the rate is lower among U.S. adults 25 or older who have a bachelor's degree or higher education level.
At the alternative hypothesis, it is tested if the proportion is lower than 0.22, that is:
The length of the rectangle is based on its width, so let's call width w and put the length in terms of the width. We are told that the width is 45 less than 4 times the width, so the length is 4w - 45. Area is found by multiplying length times width and we are given the area as 3325. So we will set up length times width and solve for w, which we will then use to solve for l. 3325 = (4w - 45)(w). Multiplying out we have . Move the constant over by subtraction and then we will have a quadratic that can be factored to solve for w.
. We would put that through the quadratic formula to solve for w. When we do that we get that w = 35 and w = -23.75. The 2 things in math that will never EVER be negative is time and distance/length, so -23.75 is out. That means that the width is 35. The length is 4(35) - 45 which is 95. The dimensions of your rectangle are length is 95 and width is 35. There you go!