Answer:
the exact value of x is 2
Step-by-step explanation:
8⁽¹/⁶⁾ x 2ˣ = 32⁽¹/²⁾
32⁽¹/²⁾ = 2⁵⁽¹/²⁾ = 2⁽⁵/²⁾
8⁽¹/⁶⁾ = 2³⁽¹/⁶⁾ = 2⁽¹/²⁾
8⁽¹/⁶⁾ x 2ˣ = 2⁽¹/²⁾ x 2ˣ = 2⁽¹/²⁾+ˣ = 2⁽¹/²+ˣ⁾
since 8⁽¹/⁶⁾ x 2ˣ = 32⁽¹/²⁾ = 2⁽⁵/²⁾
2⁽¹/²+ˣ⁾ = 2⁽⁵/²⁾
equate the powers
1/2+ x = 5/2
subtract 1/2 from both sides
x = 5/2 - 1/2 = (5-1)/2 = 4/2 = 2
x = 2
Ok so you have 4, x^6 / 2, x^4. Now divide the coefficient so 4/2=2. So 2 x^6/x^4, now subtract the numerator by the denominator so x^6-x^4=x^2 so now you have 2x^2
Answer: 2x^2
You need to use some trig... but I will try to explain it as best as possible. If you imagine a unit circle, we describe the coordinate points that line on the circle in terms of cosine and sine. A certain coordinate point on the circle can be written like (cos(x),sin(x)). "X" is going to be the angle from the center of the circle starting at point (1,0). Now imagine this triangle being fitted into a circle. The leg represents the x and y length that lead up to a point on the circle. The hypotenuse of the triangle represents the radius of the circle.
We need to find the hypotenuse first.
cos(37 degrees) x hypotenuse = 2.1
hypotenuse = 2.63 approx.
So the "x" length or the sine length is...
sin(37 degrees) x 2.63 = 1.6 approx.
answer: 1.6
Answer: megan went a total distance of 1 5/12 miles or 17/12 (use which ever you need)
Step-by-step explanation:
Here, we want to calculate the total distance worked around the track
We are told that she ran 9/12 and skipped 8/12
The total distance around the track will be the sum of these two
Mathematically, that will be;
9/12 + 8/12= 17/12 but if wanted in mixed fraction
Answer:5
Step-by-step explanation:
20 divided by 4 equals 5