Answer:
10 units
Step-by-step explanation:
Area of the triangle (A') = 1/2bh
A' = 1/2bh............ Equation 1
Where b = base of the triangle, h = height of the triangle
From the diagram,
Given: b = 12.5 unit, h = 4 unit
Substitute into equation 1
A' = 1/2(12.5)(4)
A' = 25 squared unit.
Also,
Area of the rectangle (A) = Lenght(L)×width(w)
A = Lw............ Equation 2
From the question,
If the area of the rectangle is 40% larger than the area of the triangle
Therefore,
A = 1.4A'
A = 1.4(25)
A = 35 squared unit.
Also given: w = 3
= 7/2
Substitute into equation 2
35 = L×7/2
7L = 35×2
7L = 70
L = 70/7
L = 10 units
The claim is incorrect. Treating the planets as basic spheres, the formula of the volume of a sphere states that volume = (4/3)(pi*r^3), where r is the radius. Since r is raised to the power of three, then doubling the radius would result in a volume that is 8 times larger than the original.
Answer:
The projected annual sales of Satelite Corporation are $ 161,805.
Step-by-step explanation:
Given that Satellite Corporation projects a year-end net income of $ 64,722, and that the net income represents 40% of its projected annual sales, to determine the amount of the projected annual sales of the company the following calculation must be performed:
40 = 64.722
100 = X
(100 x 64,722) / 40 = X
6,472,200 / 40 = X
161.805 = X
Therefore, the projected annual sales of Satelite Corporation are $ 161,805.
Answer:
The solution to the system of equations is (-6, 3)
Step-by-step explanation:
Plot both lines on a graph, find where they intersect IF they even intersect at all like in this case, and boom there's your answer. Hope that helps and have a good rest of your day.
