Answer:
b
Step-by-step explanation:
Answer:
5.415m and 2.585m long
Step-by-step explanation:
For a right triangle
hyp^2 = opp^2 + adj^2 (Pythagoras theorem)
Given
hypotenuse = 6m
height(opposite) = h meters
Adjacent = (8-h)m
Substitute into the expression above;
6² = h²+(8-h)²
36 = h²+64-16h+h²
36 = 2h²-16h+64
2h²-16h+64-36 = 0
2h²-16h+28= 0
Divide through by 2
h²-8h+14 = 0
Using the general formula
h = 8±√8²-4(14)/2
h = 8±√64-56/2
h = 8±√8/2
h = 8±2.83/2
h = 8+2.83/2 and 8-2.83/2
h = 10.83/2 and 5.17/2
h = 5.415 and 2.585
hence the length of the height of the right triangle are 5.415m and 2.585m long
The solution of the radical equation is x = 5 / 3.
<h3>How to solve radical equation?</h3>
The radical equation can be solved by isolating x.
Therefore, the radical equation can be solved as follows:
√3x - 1 - 2 = 0
add 2 to both sides
√3x - 1 - 2 = 0
√3x - 1 - 2 + 2 = 0 + 2
√3x - 1 = 2
square both sides
√3x - 1 = 2
(√3x - 1 )² = 2²
Hence,
(√3x - 1 )² = 2²
3x - 1 = 4
Therefore, add 1 to both sides
3x - 1 = 4
3x - 1 + 1 = 4 + 1
3x = 5
divide both sides by 3
3x = 5
3x / 3 = 5 / 3
x = 5 / 3
Therefore, the solution of the radical equation is x = 5 / 3.
learn more on radical equation here: brainly.com/question/28442352
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T= 9 months= 9/12 year = 3/4 year
r=11%
A=2700=P(1+r*t/100)=P(1+11*3/4)=P(1+8.25)
so,P= 2700/9.25 =<span>291.89</span> thats the answer
