Answer:
We know that:
There is a total of 81 houses:
51 had a finished basement.
56 had a three-car garage.
37 had a finished basement and a three-car garage.
a) How many had a finished basement but not a three-car garage?
51 had a finished basement, and 37 have a finished basement and the garage, then:
51 - 37 = 14 hoses have only the basement.
b) How many had a three-car garage but not a finished basement?
Same reasoning as above:
56 - 37 = 19 houses only have the garage.
c) How many had either a finished basement or a three-car garage?
Now we only count the ones that have one finished thing, in this case, we already found the number of houses that have only the garage or only the basement, then the number of houses that either had a finished basement or a finished garage is:
19 + 18 = 37 houses.
Answer:
7.5 miles per hour.
Step-by-step explanation:
We have been given that Mr. Ward runs a lot. He ran 45 minutes each day, 5 days each week, for 16 weeks.
First of all, we will find time for that Mr. Ward ran in 16 weeks.
We will multiply 5 by 16 to find number of days for that Mr. Ward ran and then we will multiply the result by 45 minutes to find the time.
Now, we will divide 3600 minutes by 60 minutes to convert time into hours as:
Now, we will divide 450 miles by 60 hours to find Mr. Ward's average speed as:
Therefore, Mr. Ward's average speed in 7.5 miles per hour.
Use the Pythagorean Theorem (which is only true for right triangles)
a^2 + b^2 = c^2
where
a = 25
b = 312
and c = 313
25^2 + 312^2 = 313^2
625 + 973244 = 97969
97969 = 97969
this is a true statement
therefore your ramp Is indeed a Right Triangle
Answer:
B C F are correct answers
Step-by-step explanation:
y = x² − 14x + 24
To convert to vertex form, complete the square. Take half of the second coefficient, square it, then add the result to both sides.
(-14/2)² = 49
y + 49 = x² − 14x + 49 + 24
y + 49 = (x − 7)² + 24
y = (x − 7)² − 25
The vertex is (7, -25).
