He makes $232 because 8 x 4 =32 and 32 x 7.25 = 232
Answer:
50 degrees
Step-by-step explanation:
180-130=50
The two triangles are similar. The two marked sides 16 and 2x-6 are connected in such a way that the longer side (16) is exactly twice as long as the shorter side (2x-6)
In other words
longer side = 2*(shorter side)
16 = 2*(2x-6)
Let's solve for x
16 = 2*(2x-6)
16 = 2*2x+2(-6)
16 = 4x - 12
4x - 12 = 16
4x - 12+12 = 16+12
4x = 28
4x/4 = 28/4
x = 7 which is the answer
Answer:
For a better understanding of the solution given here please go through the diagram in the file attached. Let the area of the triangle ABC be denoted by the letter "a". We know that since D is the midpoint of AB then CD must be a median and we know that a median divides the area of any triangle in half. Thus, from the figure, Area of ….(Equation 1)Now, in DE is the median and thus, Area of …(Equation 2)Again, in , DF is the median, so, area of …….(Equation 3)As, we can see, the area of the given triangle, which is the sum of shaded areas depicted by "x" and "y". Now, this area is obviously, the sum of the area of (Equation 2) and (Equation 3). Thus we have: Solving, we get: sq. cm
Answer:
Maximum at (-6,51), or value of f(-6) = 51
Step-by-step explanation:
f(x) = 8*log(x+7)-8*x+3
differentiate with respect to x
f'(x) = 8/(x+7) -8
To find maximum, set f'(x) = 0
f'(x) = 8/(x+7) -8 = 0
solver for x
x= -6
evaluate f(x) at x=-6
f(-6) = 8log(-6+7) - 8(-6) + 3
= 0 +48 +3
= 51
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