Use the formula to determine the area of squares with side lengths of 3 cm, 10.5 cm, and π cm.
1 answer:
You might be interested in
25/3 ft/s is speed of the tip of his shadow moving when a man is 40 ft from the pole given that a street light is mounted at the top of a 15-ft-tall pole and the man is 6 ft tall who is walking away from the pole with a speed of 5 ft/s along a straight path. This can be obtained by considering this as a right angled triangle.
<h3>How fast is the tip of his shadow moving?</h3>Let x be the length between man and the pole, y be the distance between the tip of the shadow and the pole.
Then y - x will be the length between the man and the tip of the shadow.
Since two triangles are similar, we can write
⇒15(y-x) = 6y
15 y - 15 x = 6y
9y = 15x
y = 15/9 x
y = 5/3 x
Differentiate both sides
dy/dt = 5/3 dx/dt
dy/dt is the speed of the tip of the shadow, dx/dt is the speed of the man.
Given that dx/dt = 5 ft/s
Thus dy/dt = (5/3)×5 ft/s
dy/dt = 25/3 ft/s
Hence 25/3 ft/s is speed of the tip of his shadow moving when a man is 40 ft from the pole given that a street light is mounted at the top of a 15-ft-tall pole and the man is 6 ft tall who is walking away from the pole with a speed of 5 ft/s along a straight path.
Learn more about similar triangles here:
#SPJ4
Answer:
11 inches
Step-by-step explanation:
The area of a circle can be found using:
We already know that the area is 380, so we can substitute 380 in for a.
380=
Now, we need to find the radius. To do this, we need to get r by itself
First, divide both sides by pi
120.95775675=r^2
Since r is being squared, we need to take the square root of both sides
10.9980796846=r
If we round to nearest whole number, our radius is 11 inches