Answer:
h=6
Step-by-step explanation:
according to Pythagorean theorem
h²=p²+b²
p²= 10²-8²
h²=100-64 by question (p=h)
h√36
h=6
Answer:
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 206 mg
Sample mean, 
= 217.5 mg
Sample size, n = 14
Sample standard deviation, s = 14.9 mg
Claim:
The mean sodium content for the sports drink is not 206 mg. It is different than 206 mg.
Thus, we design the null and the alternate hypothesis
We use two-tailed t test to perform this hypothesis.
In the given question Laura has $30 to spend on food for the week.
According to the question we have to set the inequality between total amount and amount spent on food.
Amount spend by Laura on food for the week = $30
Let the amount spent by Laura on food be x
So she has to spend up to $30
So inequality will be 
So option b is the answer
Problem 3
If we peel off the sticker off the side of a 3D cylinder, then we can form a rectangle (imagine we're able to peel it off completely without any folds or tears).
The length of the rectangular sticker is the distance around the curved circular base. So it's C = pi*d = pi*1.5 = 1.5pi inches across. The height of the rectangle is the same as the height of the cylinder. So the height is 5 inches.
The area of the rectangle is: length*width = (1.5pi)*(5) = 7.5pi
That's the exact area in terms of pi
If you use the approximation pi = 3.14, then we'll get 7.5*3.14 = 23.55 square inches as the final answer
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Problem 4
The square base has area of 38*38 = 1444 square cm
The side panels are 4 identical triangles. Each triangle has area base*height/2 = 38*55/2 = 1045 square cm. Meaning that all four triangles combine to a lateral surface area of 4*1045 = 4180 sq cm.
The total surface area is: 1444+4180 = 5624 square cm.
When you wrote 55*38*2+38*38 on your paper, you had the right idea because that evaluates to 5624
