Answer: The answer is 30 sq.ft/min and 25 sq.ft/min.
Step-by-step explanation: Given that there are two spray paint machines. The first machine (nicknamed "Paint Pro") is used for two hours and the second machine (nicknamed "Goldilocks") is used for an hour and a half. When they are working at the same time, they can paint 55 square feet per minute and together they painted 5850 square feet of wall.
Let 'x' and 'y' sq.ft/min be the portion of the wall painted by Paint Pro and Goldilocks respectively.
Then, according to the question, we have
Multiplying first equation by 4 and subtracting the second equation from it, we have
and
Thus, Paint Pro will paint 30 sq.feet per minute and Goldilocks will paint 25 sq.ft per minute.
Answer:
$30
Step-by-step explanation:
Let 6 cans represent an "order" of fruit juice. 72 cans means 12 orders (72 divided by 6). Since each order costs $2.50, 12 orders costs $30 (12 multiplied by 2.5).
Answer:
The monument is approximately 86.6 feet tall
Step-by-step explanation:
The given monument parameters are;
The distance of the person from the monument = 50 feet
The angle of depression from the top of the monument to the person's feet = 64°
Given that the angle of elevation to the top of the monument from the person's feet = The angle of depression from the top of the monument to the person's feet, we have;
tan(Angle of depression) = tan(Angle of elevation) = (The height of the monument)/(The distance from the monument)
∴ The height of the monument = tan(Angle of depression) × The distance from the monument
Substituting the known values, gives;
The height of the monument = tan(60°) × 50 ≈ 86.6
The height of the monument ≈ 86.6 feet.
Answer:
4:7
16:28
020:35
020 is meant to look hard, but it just equals 20
Answer:
ascending order:
angle KLM
angle KML
angle LKM
Step-by-step explanation:
angle opposite to the largest side is the largest angle:
largest angle = angle LKM
angle opposite to the smallestest side is the smallest angle:
smallest angle = angle KLM
