Lin should aim the ball at 7.8 feet away from point B
From the question (see attachment), we have the following equivalent ratios:
This is so because triangles ABE and DCE are similar triangles.
Such that:
So, we have:
Make CE the subject in
Substitute 20 - BE for CE in
Express as ratio
Cross multiply
Open bracket
Collect like terms
Divide both sides by 41
Hence, she should aim at 7.8 feet away from point B
Read more about similar triangles at:
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Given:
A bricklayer is able to set 2.5 bricks in one minute.
Required:
To find the number of bricks can he set in 8 hours.
Explanation:
8 hours =480 minutes.
2.5 bricks in one minute.
So for 480 minutes,
Final Answer:
1,200 bricks can he set in 8 hours.
The interest rates required to get a total amount of $2,420 from compound interest on a principal of $2,000 compounded 1 times per year over 2 years is 10% per year.
<h3>What is compound interest?</h3>
The interest on savings that is calculated on both the initial principal and the interest accrued over time is known as compound interest.
The concept of compound interest, also known as "interest on interest," is thought to have first appeared in Italy in the 17th century. It will accelerate the growth of a sum more quickly than simple interest, which is calculated only on the principal sum.
Money is multiplied more quickly through compounding, and the more times it is compounded, the higher the compound interest will be.
Using the formula A = P(1 + r/n)^nt
Solving for rate r as a decimal
r = n[(A/P)^(1/nt) - 1]
r = 1 × [(2,420/2,000)^{1/(1)(2)} - 1]
r = 0.1
Then convert r to R as a percentage
R = r × 100
R = 0.1 × 100
R = 10%/year
Learn more about compound interest
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Answer:
Length 
inches
Width 
inches
Step-by-step explanation:
Let 
= length of rectangle, 
= width of rectangle
Given the area and the perimeter of the rectangle, we can write:
So:
Now, we can use substitution to find the value of :
(Quadratic equation)
∴ 
We can use substitution again to find the value of
∵ Length usually refers to the longer side of a rectangle, ∴ length inches and width 
inches.
Hope this helps :)
Answer:
a) 4 ; b) 8
Step-by-step explanation:
4×3-8 = 12-8 = 4
4×4-8 = 16-8 = 8
