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:
(9/2, 7/2)
Step-by-step explanation:
The easiest way to remember how to do this problem is to average the x-coordinates and average the y-coordinates.
So, in your problem (-3 + 12)/2 = 9/2 and (-5 + 12)/2 = 7/2
The midpoint is (9/2, 7/2)
For 10 rows, she takes = 12 min.
So, for 1 row, she'll take = 12/10
Now, for 15 rows, it would be: 12/10 * 25 = 12/2 * 5 = 60/2 = 30
So, Your Final Answer would be 30 minutes
Hope this helps!
Answer:
'Twice the sum of a number and 5' can be translated into variable expression such as:
Step-by-step explanation:
Given the phrase
<em>Twice the sum of a number and 5</em>
First, let us breakdown the English Phrase
Let the number be = n
The sum of a number 'n' and 5 = n + 5
now, twice the sum of a number and 5 can be determined by multiplying (n+5) with 5.
Thus,
'<em>Twice the sum of a number and 5</em>' can be translated into variable expression such as:
Answer:
3.5%
Step-by-step explanation:
4000*3.5% =1400
4000-1400=2600 percentage rosie loss 3.5%
