Answers: height, "h", of a triangle: <span> h = 2A / (b₁ + b₂) .
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Explanation:
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The area of a triangle, "A", is equal to (1/2) * (b₁ + b₂) * h ;
or: A = (1/2) * (b₁ + b₂) * h
or: write as: A = [(b₁ + b₂) * h] / 2 ;
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in which: A = area of the triangle;
b₁ = length of one of the bases
of the triangle ("base 1");
b₂ = length of the other base
of the triangle ("base 2");
h = height of the triangle;
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To find the height of the triangle, we rearrange the formula to solve for "h" (height); assuming that all the units are the same (e.g. feet, centimeters); if no "units" are given, then the assumption is that the units are all the same.
We can use the term "units" if desired, in such cases; in which the area, "A" is measured in "square units"; or "units²",
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So, given our formula for the "Area, "A"; of a triangle:
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A = [(b₁ + b₂) * h] / 2 ; we solve for "h" in terms of the other values; by isolating "h" (height) on one side of the equation.
If we knew the other values; we plug in the those other values.
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Given: A = [(b₁ + b₂) * h] / 2 ;
Multiply EACH side of the equation by "2" ;
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2*A = { [(b₁ + b₂) * h] / 2 } * 2 ;
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to get:
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2A = (b₁ + b₂) * h ;
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Now, divide EACH side of the equation by: "(b₁ + b₂)" ; to isolate "h"
on one side of the equation; and solve for "h" (height) in terms of the other values;
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2A / (b₁ + b₂) = [ (b₁ + b₂) * h ] / (b₁ + b₂);
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to get:
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2A / (b₁ + b₂) = h ; ↔<span> h = 2A / (b₁ + b₂) .
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Answer:
36
Step-by-step explanation:
absolute value of -36 is 36
Answer:
Option d.
Step-by-step explanation:
Thinking process:
There two things in the question:
1. experimental set up
2. observation (a) the results, and (b) the behavior of the old people who own pets.
There is data on the experimental set up. It means that correlations cane be done to determine the significance of the results.
On the other side, the results will present more or less the common trends in the adult population who own pets. In this case, the data is representative of the total population.
Answer:
y= 2/3x + 2
Step-by-step explanation:
Hello from MrBillDoesMath!
Answer:
Range = { -11, -5, 4, 10}
Discussion:
g(x) = 3x- 5 =>
g(-2) = 3(-2) -5 = -6 -5 = -11
g(0) = 3(0) - 5 = 0 -5 = -5
g(3) = 4(3)-5 = 9-5 =4
g(5) = 3(5)-5 =15-5 = 10
So the range is { -11, -5, 4, 10}
Thank you,
MrB
