Answer:
Part A: this equation can only have 1 solution.
Part B:
3(2x - 7) = 3
⇔ 6x - 21 = 3
⇔ 6x = 3 + 21
⇔ 6x = 24
⇔ x = 24/6 = 4
1197 hours, 48 minutes
is equal to
1197 + 48/60 hours
Dividing by 53 gives
1197/53 + 48/3180 hours
Since
1197 = 22*53 + 31
we get
22 + 31/53 + 48/3180 hours
22 + (1860 + 48)/3180 hours
22 + 3/5 hours
22 + 36/60 hours
22 hours, 36 minutes
Answer:
14.5 units
Step-by-step explanation:
we need to find the length of the rectangle. To do that, we must find the hypotenuse of the right triangle below the rectangle.
Finding the hypotenuse of a right triangle uses the Pythagorean theorem, or a² + b² = c²
let a be 9 and b be 7.
9² + 7² = c²
81 + 49 = c²
130 = c²
√130 = c
c = approx. 11.4
Now, we know the length of the rectangle.
Once a rectangle is cut diagonally, it forms 2 equal right triangles. We will use the same process to find the hypotenuse of the second right triangle.
9² + 11.4² = c²
81 + 130 = c²
81 + 130 = approx. 211
c² = 211
√211 = c
c = approx. 14.5