Best estimate of the area of a triangle = 100
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Solution:
Given base of the triangle = 23.62 cm
Height of the triangle = 8.33 cm
Area of the triangle = ![\frac{1}{2} \times \text{base}\times \text {height}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%20%5Ctimes%20%5Ctext%7Bbase%7D%5Ctimes%20%5Ctext%20%7Bheight%7D)
![=\frac{1}{2}\times23.62\times 8.33](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B2%7D%5Ctimes23.62%5Ctimes%208.33)
![=\frac{1}{2}\times196.7546](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B2%7D%5Ctimes196.7546)
Area of the triangle = 98.3773 ![\text {cm}^2](https://tex.z-dn.net/?f=%5Ctext%20%7Bcm%7D%5E2)
Estimation means rounded off to the closest correct answer.
98.3773 rounded off to 100.
Hence, best estimate of the area of a triangle = 100
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Answer:
25 stickers.
Step-by-step explanation:
HOPE IT HELPS
Answer:
<h2>x=-2 or x=8</h2>
Step-by-step explanation:
Isolate by the x from one side of the equation.
|x-3|=5
x-3=-5 and x-3=5
1. x-3=-5
Add 3 from both sides.
x-3+3=-5+3
Solve.
-5+3=(-2)
x=-2
2. x-3=5
Add 3 from both sides.
x-3+3=5+3
Solve.
5+3=8
x=8
Therefore, the correct answer is x=-2 or x=8.
You are given 3 equations up front. If you take the first 2 equations and set them equal to each other, this accomplishes two things: first, doing this eliminates the variable y, and second, if the graphs of the first 2 equations intersect, at the point of intersection the y-value of one must equal the y-value of the other.
The third equation is easier to solve, because the variable y has been eliminated, leaving only x as variable.
Please take a look at the remainder of this question and see what you yourself are able to do. Share your work. Then, if you'd message me, I'd be glad to take another look and give you suggestions.
Two things must be performed to make an equation that satisfies this. First, we need to come up with a general equation that is perpendicular to the one in the problem. To do this, the reciprocal of the slope is calculated (negative inverse). The line that is perpendicular to y=1/8x + 2 has a slope of -8. This is what our equation looks like so far:
y’=-8x
This is good, but it doesn’t pass through (1,5). To make it do this, put the point in the equation and solve it - a point on a graph that intersects the line is a “solution” of the equation, so we need to solve for it!
y’ = -8x
(5) = -8(1)
Nope, 5 doesn’t equal -8. Let’s make the two sides equal by adding 13 to the right side.
y’ = -8x + 13
(5) = -8(1) + 13
5=5 - yes!
Our equation that is perpendicular to the one in the question and also passes through the point (1, 5) is y’=-8x + 13.
Hope this helps!