And isosceles triangle has two sides of equal length. The third side is five less than twice the length of one of the other site
s. If the perimeter of the triangle is 23 cm, what is the length of the third triangle?
Explain how you would define a variable for this problem.
Explain how you would define a variable for this problem.
1 answer:
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Refer to the diagram shown below.
The path of the rock is
y = -0.005x² + 0.4x - 5.1
When x = 0, y = -5.1 ft, which is the location of the hole level.
The rock reaches ground level two times when x = x₁ and when x = x₂.
At ground level, y = 0. Therefore
-0.005x² + 0.4x - 5.1 = 0
Divide through by -0.005.
x² - 82x + 1020 = 0
Solve with the quadratic formula.
x = (82 +/- √(82² - 4*1020))/2
= (82 +/- 51.4198)/2
x = 66.71 or x = 15.29
The smaller value of x is x₁ = 15.3 ft when the rock emerges out of the hole and reaches ground level.
The larger value of x is x₂ = 66.7 ft when the rock falls to the ground.
The rock lands 66.7 ft horizontally from Landon.
Answer: 66.7 ft
The path of the rock is
y = -0.005x² + 0.4x - 5.1
When x = 0, y = -5.1 ft, which is the location of the hole level.
The rock reaches ground level two times when x = x₁ and when x = x₂.
At ground level, y = 0. Therefore
-0.005x² + 0.4x - 5.1 = 0
Divide through by -0.005.
x² - 82x + 1020 = 0
Solve with the quadratic formula.
x = (82 +/- √(82² - 4*1020))/2
= (82 +/- 51.4198)/2
x = 66.71 or x = 15.29
The smaller value of x is x₁ = 15.3 ft when the rock emerges out of the hole and reaches ground level.
The larger value of x is x₂ = 66.7 ft when the rock falls to the ground.
The rock lands 66.7 ft horizontally from Landon.
Answer: 66.7 ft
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Answer:
Step-by-step explanation:
If the total data set is 36 students, and you need to find out the probability that the randomly selected student studies both art and biology, you need to find the ratio:
Every 36 students there is 6
36 : 6
Divide both sides by 6:
6 : 1
So that means the probability is:
or 1.16 recurring
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