You have to find the cube root of 27.
A same number when multiplied 3 times by itself will give the cube.
3√27 = 3 x 3 x 3
So the answer is 3
Answer:
x ≈ 20.31
Step-by-step explanation:
By applying tangent rule in the given right triangle,
tan(55°) = 
Measure of the opposite side = 29 units
Measure of the adjacent side = x
Substitute these values in the expression,
tan(55) = 
x = 
x = 20.306
x ≈ 20.31
The labeled angle is what's called an inscribed angle. There's a theorem (fittingly called the inscribed angle theorem) that says the measure of this angle is half the measure of the circular arc that it subtends.
In this case, the angle is subtended by an arc measuring 180°. So
(4x + 6)° = 1/2 • 180°
4x + 6 = 90
4x = 84
x = 21
Answer:
x=5
Step-by-step explanation:
Other than using the plain special aspect of a 45-45-90 triangle where the legs are x, x, and x√2, you can solve for this.
Since the two legs have equal length, they are both x. Using the pythagorean theorem:
(x^2)+(x^2)=50 (Because 5 squared is 25 and √2 squared is 2, multiplying them gives you 50).
You can add (x^2) and (x^2) because they are the same terms (x squared).
Simplifying like so gives you:
2x^2=50
Dividing by two on both sides:
x^2=25
Taking the square root of both sides:
x=5
Step-by-step explanation + Answer:
x = 1st job
y = 2nd job
x + y = 22......x = 22 - y
7x + 8.25y = 171.50
7(22 - y ) + 8.25y = 171.50
154 - 7y + 8.25y = 171.50
-7y + 8.25y = 171.50 - 154
1.25y = 17.50
y = 17.50 / 1.25
y = 14 <== 14 hrs at the 8.25 per hr job
x + y = 22
x + 14 = 22
x = 22 - 14
x = 8 <=== 8 hrs at the 7 per hr job