Answer:
q = 
c = 
Step-by-step explanation:
First solve for q:
0.162q + 0.035c = 4
0.162q = 4 - 0.035c (move term to other side)
q =
(divide both sides by 0.162 to get it away from q)
q =
(simplify fraction)
Solve for c:
0.162q + 0.035c = 4
0.035c = 4 - 0.162q (move term to other side)
c =
(divide both sides by 0.035 to get it away from c)
c =
(simplify fraction)
This your answer hope i helped. :)
<span> The point lies one unit above the regression line. </span>
Answer:
115.48
Step-by-step explanation:
This shape can be split into two distinct shapes
Two halves of a semi circle, and a rectangle in between
Circle:
Putting both halves of the semi circle together will give you a full circle. The diameter of the circle is given (7m).
The area of a circle is A = π 
The radius, r, is half of the diameter, so 7 / 2 = 3.5m
A = π 
A = π * 
A = 38.38
Rectangle:
The area of a rectangle is A = h b
The height, h, is known at 7m
The base, b, can be found by removing the length from the dot to the end of the semi circles. This length is the radius of the semi circles, 3.5m
Removing the radius from the total length given
18 - 3.5 - 3.5 = 11m
The base is 11m
A = h b
A = 7 * 11 = 77
Total Area = Circle area + Rectangle area
Total Area = 38.38 + 77 = 115.48
Area = L * W
Area = 12 * 8
Area = 96
Each individual tile has an area of 96 cm²
To calculate how many tiles take 9600 cm²÷96 cm² = 100 tiles
Answer:12cm
Step-by-step explanation:
The ratio are:
4:6:9
Perimeter=57cm
Let a be the unknown value.
The triangle has three sides: 4a, 6a, 9a
Perimeter=The sum of three sides
57=4a + 6a +9a
57=19a
Divide both side by 19
a=57/19
a=3
Therefore
4a:6a:9a
4×3:6×3:9×3
12:18:27
So the shortest side is 12cm