Answer:
Step-by-step explanation:
A tree that is 100 feet tall casts a shadow that is 150 feet long ...
The angle at which the ray of the sun hit the ground is that which has a tangent equal to 100 / 150 or 2/3. This angle is equal to 33.69. Thus, the answer is letter B. 34°
Answer:
$114,000
Step-by-step explanation:
Use formula

where
I = interst
P = principal
r = rate
t = time
First, find the interst for 25 years:
I = unknown
P = $190,000
r = 0.03 (3% as decimal)
t = 25

Now find the interest for 5 years:
I = unknown
P = $190,000
r = 0.03 (3% as decimal)
t = 5

The unpaid balance is

Answer:
80 square yards
Step-by-step explanation:
so you have to divide 20 into 100 to see how much each sheep gets. Each sheep gets 5 square yards. Then you just multiply how much each sheep gets by 5 and get 80 square yards.
I think you need to retype this one. The formatting makes this question difficult to understand.
First, we should figure out the area of the entire face of the clock because we need that information to solve the problem. The formula for the area of a circle is A=pi*r^2. Since we know that r (radius) is equal to 11.25 feet, we can plug this in for r and solve for A: A=pi*11.25^2 which equals A=397.61 ft^2 rounded to the nearest hundredth.
Now, to find the area the hand sweeps over in 5 minutes, we should determine how much of the clock the hand sweeps over in 5 minutes. Think about it like this: since 5 minutes goes into 60 minutes 12 times (60/5=12), then 5 minutes is one twelfth of the clock's face. Therefore, we are going to divide the total area by 12 (397.61/12) to get 33.13 ft^2, so the answer is C.
I hope this helps.