Answer:
x = 28 cm
Step-by-step explanation:
Given:
Area of link shaded regions = 84 cm²
Required:
The value of x (diameter of the semicircle/length of the rectangle)
Solution:
Diameter of the semicircle = 2r = x
Length of rectangle (L) = 2r = x
Radius of semicircle (r) = ½x
Width of rectangle (W) = radius of semicircle = ½x
Use 3.14 as π
Area of the link shaded regions = area of rectangle - area of semicircle
Thus:
Area of the link shaded regions = (L*W) - (½*πr²)
Plug in the values
84 = (x*½x) - (½*3.14*(½x)²)
84 = x²/2 - (1.57*x²/4)
84 = x²(½ - 1.57/4)
84 = x²(0.5 - 0.3925)
84 = x²(0.1075)
Divide both sides by 0.1075
84/0.1075 = x²
781.4 = x²
√781.4 = x
27.9535329 = x
x = 28 cm
Answer:
5.1 mph
Step-by-step explanation:
she ran 3 2/5 miles in 2/3 hours.
that is the essential information to solve the problem. everything else is just there to give you "atmosphere" and Shao to confuse you.
the question is simply : what was her speed in mph ?
that means we need to bring the ratio of
3 2/5 miles / 2/3 hours
to 1 hour in the denominator (instead of 2/3 hours).
because we need that to express miles per (one) hour.
so, what do we need to multiply 2/3 with to get 1 (=3/3) ?
2/3 × x = 1
2x = 3
x = 3/2
so, to get 1 hour, we need to multiply the denominator by 3/2.
and to keep the original value of the ratio, we need to multiply also the numerator by the same 3/2.
speed = (3 2/5 miles × 3/2) / (2/3 hours × 3/2) =
= (17/5 miles × 3/2) / (1 hour) = 51/10 miles / 1 hour =
= 5.1 miles / 1 hour = 5.1 mph
Step-by-step explanation:
please mark me as brainlest
Answer:
(x-11)^2 + (y-6)^2= 6^2
Step-by-step explanation:
