The bird house in your friend's yard casts a shadow that is 14 feet long. Your friend is 5 feet tall and casts a shadow that is
3.5 feet long. What is the height of the bird house?
2 answers:
Answer:
Bird house is 20 ft. high.
Step-by-step explanation:
Let the height of the bird house is h feet high casts a shadow of 14 ft long.
My friend is 5 feet high and casts a shadow of 3.5 feet.
Now we see both the triangles Δ ABC and Δ XYZ are similar.
By the similar triangles theorem sides opposite to the corresponding angles will be in the same ratio.
(from similar triangles ABC and XYZ)
Therefore bird's house is 20 feet high.
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Answer:
1. 10.7 years
2. 17.0 years
3. 2nd option
Step-by-step explanation:
Use formula for compounded interest
where
A is final value, P is initial value, r is interest rate (as decimal), n is number of periods and t is number of years.
In your case,
1. P=$5745, A=2P=$11490, n=12 (compounded monthly), r=0.065 (6.5%) and t is unknown. Then
2. P=$5745, A=3P=$17235, n=12 (compounded monthly), r=0.065 (6.5%) and t is unknown. Then
3. <u>1 choice:</u> P=$5745, n=12 (compounded monthly), r=0.065 (6.5%), t=5 years and A is unknown. Then
<u>2 choice:</u> P=$5745, n=4 (compounded monthly), r=0.0675 (6.75%), t=5 years and A is unknown. Then
The best will be 2nd option, because $8032.58>$7936.39
Answer:
Option B is the right choice.
Step-by-step explanation:
Given:
An are CE and an inscribed angle CBE.
Measure of inscribed angle CBE = 25 °
We have to find the measure of the arc CE.
Concept:
- An inscribed angle is an angle with its vertex on the circle.
- The measure of an inscribed angle is half the measure the intercepted arc.
- Measure of inscribed angle = 1/2 × measure of intercepted arc .
To find the measure of arc CE.
⇒
⇒
⇒
⇒
Measure of intercepted arc CE = 50 degrees.
The measure of arc CE = 50° so, option B is the right choice.
