Answer:
d. 2.4 in
Step-by-step explanation:
So initially w/o frame the area was 5 x 7 = 35 sq in.
Now we have to add the width of the frame to both dimensions.
(5+w)(7+w) = 69.56 sq in
35 + 7w + 5w + w² = 69.56
w² + 12w + 35 = 69.56
w² + 12w - 34.56 = 0
I use the quadratic formula to solve this (x = -b±√b²-4ac / 2a). I cheat by using a quadratic program on the calculator :,)
w = 2.4
w = -14.4
Since we can't have a negative width, the answer must be <u>w = 2.4 inches.</u>
You can also just plug the answer choices one-by-one into the calculator with guess-and-check because this is multiple choice.
X can be a value of any number less than 0.9.
Solved, this is x<1 as an inequality.
we know that having similar triangles so the ratio of sides,area and volume are same.
we know that will be the area of triangle.
so
so the ratio of the perimeter of two triangles will be
ratio of the perimeter=
Answer:
20
Step-by-step explanation:
c = 5(68-32)/9
c = 5(36)/9
c = 20
Answer: $5289.35
Step-by-step explanation:
Since the cars have an average mileage of 6.78 miles per gallon and the race is 500 miles, the number of gallons each car will take will be:
= 500/6.78
= 73.75 gallons
Since they're 44 cars, the total gallons of fuel will be:
= 44 × 73.75
= 3245 gallons
Since the fuel cost is $1.63 per gallon, the total fuel cost, will be:
= $1.63 × 3245
= $5289.35