A real life example of an acute angle is the angle that's made in letter V.
<h3>What is a acute angle?</h3>
It should be noted that an acute triangle simply means an angle that measures less than 90 degrees.
In this case, the real life example of an acute angle is the angle that's made in letter V. Other examples include slizing a pizza into different shapes.
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Answer:
The vertex of the given equation is which shows that the value of the market after about 5 years is about 187,253.01
Functions and values
Given the overall value of a home can be modeled by
V(x) = 415x^2 – 4600x + 200000
Write in vertex form to have:
V(x) = 415x^2 – 4600x + 200000
For the given equation, the vertex occur at
Hence the vertex of the given equation is which shows that the value of the market after about 5 years is about 187,253.01
Answer:
Tires that wear out by approximately 24307.8 miles will be replaces free of charge.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 27,000 miles
Standard Deviation, σ = 2100 miles
We are given that the distribution of life expectancy is a bell shaped distribution that is a normal distribution.
Formula:

We have to find the value of x such that the probability is 0.10
Calculation the value from standard normal z table, we have,
Tires that wear out by approximately 24307.8 miles will be replaces free of charge.
I: x-2y>=8
II:2x+y<=3
start by isolating y on a side
with I:
x-2y>=8
-2y>=8-x
2y<=x-8
y<=x/2-4
with II:
2x+y<=3
y<=-2x+3
now you can draw I' and II' and read of the solutions with the graph.
transform the inequalities into lines in slope intercept form by replacing the inequality with equality:
y<=x/2-4
->
y=x/2-4
y<=-2x+3
->
y=-2x+3
look at the inequalities to figure out if the area above or below is valid for each line (y<=... -> area below is valid->colored in the attached image)
the area in which all areas overlap is the solution space.