Andrew is growing tomato plants in his garden. The line plot below shows the
1 answer:
Answer:
Difference = 2/4
Step-by-step explanation:
Line Plot is a graph that presents data through number line. Here, possible values of considered variable are on number line, & their frequency is denoted by number of dots or crosses above.
As per given line plot for tomato plants heights, 3 plants have height = 1/4, 5 plants have height = 1/2, 4 plants have height = 3/4.
1/4 < 1/2 < 3/4 , 1/4 is the shortest height & 3/4 the longest height of plants. So, difference between smallest & largest height value, ie range = Highest Value - Lowest Value = 3/4 - 1/4 = 2/4
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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