Sylvia invested 500 in an account compounded annually with an interest rate of 8%. Manuel invested 600 in an account with a comp
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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.
The value of x is
Step-by-step explanation:
Given:
Rearranging the radical on left side,
Power on both sides,
Simplifying the left,
For the RHS equation, use the property of (a-b)² = (a²-2ab+b²),
Now calculating its powers,
Now sending -4√x to the LHS (left side), its sign becomes plus (+),
Now the +x and -x will be cancelled,
Bringing 4 to the right side, it becomes the denominator,
Now powering both sides,