Let x=height. then base is x+4. plug what we know into the formula for the area of a triangle
A=½bh
16=½*(x+4)*(x)
32=x²+4x
x²+4x-32=0
(x+8)(x-4)=0
so x can be-8 our 4. when we plug-8 in for x we get a negative height. since a triangle cannot have a negative side length we discard-8 and try 4. height=4 and base=8
Part A
The expression "ma" is the same as "m*a" (m times a). To isolate 'a', we divide both sides by m. Division is the inverse operation of multiplication. Think of it as undoing multiplication
F = ma
F = m*a
F/m = m*a/m
F/m = a
a = F/m
Answer: a = F/m
Note: the slash "/" without quotes means "divide"
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Part B
Use the result from part A. We will plug F = -24 and m = 10 into that equation
a = F/m
a = -24/10
a = -2.4
Answer: -2.4
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Part C
We will use the equation F = m*a
F = m*a
24 = m*12 ... plug in F = 24 and a = 12
24/12 = m*12/12
2 = m
m = 2
Answer: 2
<h3>
Answer: $326.59</h3>
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Work Shown:
F = future value
P = present value = 280
r = rate of inflation in decimal form = 0.08
t = elapsed time in years = 2
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F = P*(1+r)^t
F = 280*(1+0.08)^2
F = 326.592
F = 326.59
Answer:
In order of pictures,
Picture #1: 230
Picture #2: 140
Picture #3: 9.9
Picture #4: 13.5
Picture #5: 7.07
Step-by-step explanation:
I am not entirely sure that 3 - 5 are correct, but I know that 1 and 2 are correct. I am sorry if they are incorrect.
Hope that this helps!
