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:
$6,900
Step-by-step explanation:
Let
x = Amount Monica should earn each month
Rent per month = $2,300
Monica knows that she should spend no more than 1/3 of her income on her rent
1/3 of her Income = rent
1/3 of x = 2,300
1/3x = 2,300
x = 2,300 ÷ 1/3
x = 2,300 * 3/1
x = $6,900
Monica should earn $6,900 each month to afford the rent on her cool new place
Answer:
de fk?
Step-by-step explanation:
wth is that
Answer:
The x-intercept is 
The y-intercept is 
Step-by-step explanation:
Suppose you have a function f:

The x-intercept is the value of x when
.
The x-intercept is the value of y when
.
Solution
We have:


x-intercept
The x-intercept is the value of x when
. So:

*(-1)




The x-intercept is 
y-intercept
The y-intercept is the value of y when
. So:





The y-intercept is 
Answer:
x = 
Step-by-step explanation:
Given
3x -
= - 
Multiply through by 10, the lcm of 5 and 2 to clear the fractions
30x - 8 = - 5 ( add 8 to both sides )
30x = 3 ( divide both sides by 30 )
x =
= 