Answer:
51 deg
Step-by-step explanation:
Sin W=0.7771
(use calculator)
W = 50.996 deg
= 51 deg (to nearest degree)
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:
4.83
Step-by-step explanation:
To find the circumference of a circle you need to take the diameter times Pi. So if you need to find the diameter from the circumference, simply divide the circumference by 3.14 which is Pi
Hope this helps!
Given:
In the given triangle,
With respect to y, Perpendicular = 10 cm and Base = 8 cm
To find the value of y.
Formula
By Trigonometric Ratio we get,
Now,
Putting the values of perpendicular and base we get,
or,
or,
Rounding off to the nearest tenth, we have;
Hence,
The value of y is 51.3°.
Camille spent 22 minutes and 30 seconds opening presents.
Since Camille had a very fun birthday party with lots of friends and family attending, and the party lasted for 3 hours, and she and her friends played games for 3/8 of the time, ate pizza and cake for 50% of the time , and spent the remainder of the time opening presents, to determine the amount of time spent opening presents the following calculation must be performed, posing the following linear equation:
Total time - time spent on other activities = time spent opening presents
- 3 - (3 x 3/8) - (3 x 0.5) = X
- 3 - 1.125 - 1.5 = X
- 3 - 2.625 = X
- 0.375 = X
- 1 = 60
- 0.375 = X
- 0.375 x 60 = X
- 22.5 = X
Therefore, Camille spent 22 minutes and 30 seconds opening presents.
Learn more in brainly.com/question/11897796