a)
his income must be "x" which is the 100%, and we would know that 0.2% of that is 12.37.
b)
his income must be "x" which is the 100%, and we would know that 2% of that is 12.37.
btw he's not making much either way.
The perimeter of the rectangle is 80 feet. the ratio of the width to the length is 3 to 5. what are the dimensions of the rectan
1 answer:
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Answer:
5 cm
Step-by-step explanation:
We khow that the altitude of this triangle is 1cm shorter than the base
- Let H be our altitude and B our base and A the area of the triangle
- A= (B*H)/2 ⇒ 15=(B*H)/2
- H is 1cm shorter than B ⇒ B=H+1
- H*(H+1)/2=15 ⇒ H*(H+1)=30⇒ H²+H=30⇒H²+H-30+0
that's a quadratic equation . Let's calculate the dicriminant .
Let Δ be the dicriminant
- a=1
- b=1
- c= -30
- Δ=b²-4*a*c = 1²-4*1*(-30)=1+4*30=121≥0
- Δ≥0⇔ that we have two solutions x and y
- x= (-1-
)/2= (-1-11)/2= -6
- y= (-1+
We have a negative value and a positive one
The altitude is a distance so it can't be negative
H= 5cm
Option B is correct.
Step-by-step explanation:
We need to solve:
We know that:
Applying the above rule:
So, Option B is correct.
Keywords: Solving with Exponents
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