Answer:
(a) 4 miles
(b) 8.9 miles
Step-by-step explanation:
(a) Theorem 1: In a right triangle, the altitude drawn from the right angle to the hypotenuse divides the hypotenuse into two segments. The length of the altitude is the geometric mean of these two segments.
Hence, the distance d between the park and the library is
(b) Theorem 2: In a right triangle, the altitude drawn from the right angle to the hypotenuse divides the hypotenuse into two segments. The length of each leg of the right triangle is the geometric mean of the lengths of the hypotenuse and the segment of the hypotenuse that is adjacent to the leg.
Thus, the distance D between the park and the football field is
They are not the same thing.
Angles that are complementary end up equally 90 degrees. That means 30 degrees is one and 60 is the other because 30*2 = 60
60+30=90
<span>(1) What are the values of the sample proportion of people who live within 1 mile of a hazardous waste site and its standard error?
Solution:
pˆ = 0.3, and standard error p
0.3 Ă— 0.7/450 = 0.0216.
(2) What are the values of the sample proportion of people who live outside of the 1 mile radius around a hazardous waste site and its standard error?
Solution:
pˆ = 0.7, and standard error p
0.3 Ă— 0.7/450 = 0.0216.</span>
Answer: 1000 hot dogs and and 1600 sodas were sold.
Step-by-step explanation:
Let x be the number of hot dogs and y be the number of sodas.
Given : The concession stand at an ice hockey rink had receipts of $6200 from selling a total of 2600 sodas and hot dogs.
Each soda sold for $2 and each hot dog sold for $3 .
Then, we have the following system of two linear equations:-
Multiplying 2 on both sides of (1), we get
Now, Eliminate equation (3) from equation (2), we get
Put x=1000 in (1), we get
Hence, 1000 hot dogs and and 1600 sodas were sold.
