Evaluate the expression for the given values.
2 answers:
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Answer:
The correct option is
x equals the square root of w times the sum of w plus z end quantity
Step-by-step explanation:
The parameters given are
ABC = Right triangle, with ∠B = 90° and CA = Hypotenuse = CD + DA
∴ CA = w + z
BA = v
Hence;
x² = (w + z)² - v²
Where:
v² = z² + y²
∴ x² = (w + z)² - (z² + y²)
x² = w² + 2·w·z + z² - z² - y²
x² = w² + 2·w·z - y²
Where:
y² = x² - w²
We have;
x² = w² + 2·w·z - (x² - w²)
x² = w² + 2·w·z - x² + w²
Which gives;
2·x² = 2·w² + 2·w·z
Removing the common factors, we have;
x² = w² + w·z
The correct option is x equals the square root of w times the sum of w plus z end quantity.
Answer:
The time taken by Katie alone to repair the fence is 18.3 hours
Step-by-step explanation:
Given as :
Faith and Katie are working together to repair a fence
The time taken by both to fix it = 10 hours
The time taken by Faith alone to fix it = 22 hours
Let The time taken by Katie alone to fix it = T hours
<u>Now, According to question</u>
The time taken by both to fix it = The time taken by Faith alone to fix it + The time taken by Katie alone to fix it
Or , =
+
Or, =
-
Taking LCM
Or, =
Or, =
∴ T =
or, T =
I.e T = 18.3 hours
So,The time taken by Katie alone to fix it = T = 18.3 hours
Hence,The time taken by Katie alone to repair the fence is 18.3 hours Answer