Given triangles are similar, so we setup a proportion
(140-x)/81 = x/9
solving gives x = 14
AC = 140-x = 140-14 = 126
Answer:
Clarissa will take 10 hours by herself
Step-by-step explanation:
Let s = time for shawna
s-5 = time for clarissa
The formula for determining the time is
1/a + 1/b = 1/c where a and b are the times alone and c is the time together
1/s + 1/(s-5) = 1/6
Multiply each side by 6s(s-5) to clear the fractions
6s(s-5) ( 1/s + 1/(s-5)) = 1/6 *6s(s-5)
Distribute
6(s-5) + 6s = s(s-5)
Distribute
6s -30 +6s = s^2 -5s
Combine like terms
12s -30 = s^2 -5s
Move everything to the right
0 = s^2 -5s -12s +30
0 = s^2 -17s +30
Factor
0 = ( s-15) (s-2)
Using the zero product property
s-15 =0 s-2 =0
s =15 s=2 ( This is not a reasonable answer since it is less than the time together)
s=15
s-5 = 10
Clarissa will take 10 hours by herself
The solution to the equation as given in the task content is; x = -3.47.
<h3>What is the solution of the equation in discuss?</h3>
It follows from the task content that the equation given is; (43/7÷ x+32/9) ÷25/6=4/3
(43/7÷ x+32/9) = 25/6 × 4/3
(43/7÷ x+32/9) = 100/18
x +32/9 = 43/7 ÷ 100/18
x + 32/9 = 774/700
x = 774/700 - 32/9
x = -3.47.
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421.4 in^2
Step-by-step explanation: