Answer:
The distance from the top of the tree to the end of its shadow is 17 m ⇒ 4th answer
Step-by-step explanation:
The relation between the three sides a, b and c of a right triangle, where c is the hypotenuse and b , c are the legs of the right angle is:
c² = a² + b² ⇒ Pythagoras Theorem
The tall of the tree (T) and its shadow in the ground (S) form two legs of a right triangle and the distance from the top of the tree to the end of the shadow (D) formed the hypotenuse of the triangle
By using Pythagoras Theorem
∵ (D)² = (T)² + (S)²
∵ The tree is 8 m tall
∴ T = 8
∵ It casts a shadow 15 m long on the ground
∴ S = 15
- Substitute them in the formula above
∴ (D)² = (8)² + (15)²
∴ (D)² = 64 + 225
∴ (D)² = 289
- Take √ for both sides
∴ D = 17
The distance from the top of the tree to the end of its shadow is 17 m
Mervin's loan of $300 is an illustration of compound interest
The interest to pay back in 5 months is $74.2, and the amount to pay back in 5 months is $374.2
<h3>The interest to pay back in 5 months</h3>
The given parameters are:
- Principal, P =$300.00
- Rate, r = 70%
- Time, t = 5 months
The compound interest is calculated as:
CI = P * (1 + r)^(t/12) - P
Substitute known values
CI = 300 * (1 + (0.70))^(5/12) - 300
Evaluate the expression
CI = 74.2
Hence, the interest to pay back in 5 months is $74.2
<h3>The amount to pay back in 5 months</h3>
The amount (A) is calculated using:
A = CI + P
This gives
A = 74.2 + 300
A = 374.2
Hence, the amount to pay back in 5 months is $374.2
Read more about compound interest at:
brainly.com/question/24924853
I think its $3.43 per pair of sock
Answer:
u have it right it increases by 1:75 per time
Step-by-step explanation:
d =st
distance = speed * time
10 = 4.5 * t
divide each side by 4.5
10/4.5 = t
100/45 = t (can't have a decimal in a fraction so I multiply by 10/10)
divide top and bottom by 5
20/9
2 and 2/9 hours
to get minutes multiply 2/9 by 60
2/9 * 60
120/9
13 3/9
13 1/3 minutes
2 hours 13 1/3 minutes
to the nearest minutes
2 hours 13 minutes
