Answer:
x=25
Step-by-step explanation:
The total angles of a triangle is 180°
So 180=36+61+(4x-17)
83=(4x-17)
100=4x
x=25
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:
1. 2x + 5y = 5
2. 3x + 2y = -9
Step-by-step explanation:
Answer:
0.375
Step-by-step explanation:
Convert the fraction to a decimal by dividing the numerator by the denominator.
3/8 = 0.375
Ok. Something times 90 = 7200.
Let something = x
90x = 7200
Divide both sides by 90.
90x/90 = 7200/90
x = 80
The other factor is 80.
