What is the slope of the line that passes through (3,-7) and (-1,1)
2 answers:
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The triangles formed by the path of the ball and the wall in the given diagram are similar triangles.
<h3>Correct Response;</h3>The point on the wall she should aim is; <u>A. 7.8 feet away from point B</u>
<h3 /><h3>Method by which the above value is obtained;</h3>The possible diagram in the question is attached
Let <em>x</em> represent the distance from point <em>B</em> where the ball lands.
ΔCDE is similar to ΔABE, by Angle-Angle similarity postulate.
By trigonometric ratio, the tangent of the angles ∠CDE and ∠BAE are;
tan(∠CDE) = tan(∠BAE)
Therefore;
Which gives;
16 × (20 - x) = 25·x
320 = 41·x
x = 320 ÷ 41 ≈ 7.8
The point on the wall she should aim if she's standing at point <em>A</em> is therefore;
- <u>A, 7.8 feet away from point </u><u><em>B</em></u>
Learn more about trigonometric ratios here:
For compound interest, the formula is given below:
Amount =
Here, P = 18,800
n = 2
r = 13/100
So, Amount =
= 18,800 × 1.2769
= 24005.72
Compound Interest = Amount - Principal
Compound Interest = 24005.72 - 18800
= 5205.72
Hence, the compound interest for Rs.18,800, calculated for 2 years at 13% rate of interest compounded annually is Rs.5205.72.