Answer:
250
Step-by-step explanation:
85% · n = 212.5
[convert 85% to .85]
.85n = 212.5
n = 212.5/.85
n = 250
First Rectangle Area: 5 * 3=15
Second rectangle's width: 15/7.5=2
I think this is the ans
Answer:
(x + 3)² + (y – 4)² = 1
Step-by-step explanation:
(x – h)² + (y – k)² = r².
Where (h, k) is the center of the circle, and r is the radius of the circle.
Answer:
13 ft/s
Step-by-step explanation:
t seconds after the boy passes under the balloon the distance between them is ...
d = √((15t)² +(45+5t)²) = √(250t² +450t +2025)
The rate of change of d with respect to t is ...
dd/dt = (500t +450)/(2√(250t² +450t +2025)) = (50t +45)/√(10t² +18t +81)
At t=3, this derivative evaluates to ...
dd/dt = (50·3 +45)/√(90+54+81) = 195/15 = 13
The distance between the boy and the balloon is increasing at the rate of 13 ft per second.
_____
The boy is moving horizontally at 15 ft/s, so his position relative to the spot under the balloon is 15t feet after t seconds.
The balloon starts at 45 feet above the boy and is moving upward at 5 ft/s, so its vertical distance from the spot under the balloon is 45+5t feet after t seconds.
The straight-line distance between the boy and the balloon is found as the hypotenuse of a right triangle with legs 15t and (45+5t). Using the Pythagorean theorem, that distance is ...
d = √((15t)² + (45+5t)²)
Answer:
100
Step-by-step explanation:
Solve for m
2m= 40
Divide both sides 2
m= 20
5(20)= 100