Answer:
x = w / (56 + r)
Step-by-step explanation:
Given the equation :
19x + rx= -37x + w ; find x
Collecting like terms
19x + rx + 37x = w
Factorizing x in the Left hand side
x(19 + 37 + r) = w
x(56 + r) = w
Therefore we can obtain x by dividing both sides by (56 + r)
x(56 + r) / (56 + r) = w / (56 + r)
x = w / (56 + r)
The length of EF in the given triangle is 8.80 m.
Step-by-step explanation:
Step 1:
In the given triangle, the opposite side's length is 16.2 m, the adjacent side's length is x m while the triangle's hypotenuse measures 16.2 m units.
The angle given is 90°, this makes the triangle a right-angled triangle.
So first we calculate the angle of E and use that to find x.
Step 2:
As we have the values of the length of the opposite side and the hypotenuse, we can calculate the sine of the angle to determine the value of the angle of E.


So the angle E of the triangle DEF is 57.087°.
Step 3:
As we have the values of the angle and the hypotenuse, we can calculate the cos of the angle to determine x.


Rounding this off to the nearest hundredth, we get x = 8.80 m.
Using the Pythagorean theorem:
90^2 +90^2 = X^2
8100 + 8100 = x^2
16,200 = x^2
X = √16,200
X = 127.28 feet.
Rounded to the nearest foot = 127 feet.
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