Answer:
Step-by-step explanation:
Given:
Base length:
A = 8.5 m
B = 4 m
Height, h = 2 ft
1 gallon = 350 ft^2
Area of trapezoid = 1/2 × (A + B) × h
= 1/2 × (8.5 + 4) × 2
= 12.5 ft^2
1 gallon = 350 ft^2
2 gallons = 700 ft^2
1 podium = 12.5 ft^2
= 700/12.5 podium
= 56 podiums will be painted with 2 gallons of paint.
Answer:
20 miles per hour
Step-by-step explanation:
The distances traveled by each car are perpendicular, so we can find the distance between the cars using the Pythagoras' theorem between their distances traveled:

Where d is the distance between the cars, d1 is the distance traveled by the first car and d2 is the distance traveled by the second car.
The distance traveled is calculated by the speed times the time traveled, so we have:




The rate that the distance is increasing can be found with the derivative of the distance in relation to the time:

So the rate that the distance increases is always 20 miles per hour, and it's independent of the time.
Answer:
5.8 and 6.3 because you can see the pattern.
We need to convert the given measures from yard to feet. Since 1 yard is equal to 3 feet, we have

similarly, for the wide, we have

Since the area of a rectangle is wide times length, the area is

Therefore, the area is equal to 189 square feet
Answer: F / 0.15 = 100F / 15 = 20F / 3 ≈ 6.67F.
Explanation:
1) The three expresssions, F / 0.15; 15 F / 100; 3F / 20; are equivalent.
2) The number of figurines Kat owned last year may be expressed in terms of the number the of figurines purchased, F, this year, and the 15%, following this procedure:
- Call n the amount of figurines owned last year.
- F is the number of figurines purchased: F = 15%n = 0,15n
- Hence, you just need to clear F from the expression F = 0.15n
- Divide both sides by 0.15:
F / 0.15 = n or n = F / 0.15 (reflexive property)
- To prove the equialavence of the other expresssions you just have to use the properties of multiplication or division:
(F / 0.15) × (100 / 100) = 100F / 15
100F / 15 = (100/5)F / (15/5) = 20F / 3 ≈ 6.67F