Answer:
Step-by-step explanation:
<u>When you want to find area out of diameter. These are the steps you follow:</u>
1. Convert diameter to radius
2. Solve for area
<u></u>
<u>First step:</u>
When you need to convert diameter to radius, you just need to divide by 2
<u>Second step:</u>
Use formula 
A = 
A = 
A= 
<h3>
Answer: 56 degrees</h3>
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Work Shown:
For any triangle, the three interior angles always add to 180
(4x-12) + (6x-17) + (2x+5) = 180
(4x+6x+2x) + (-12-17+5) = 180
12x - 24 = 180
12x = 180+24 ..... adding 24 to both sides
12x = 204
x = 204/12 ..... dividing both sides by 12
x = 17
We can use this x value to find the three angles
4x-12 = 4*17-12 = 56
6x-17 = 6*17-17 = 85
2x+5 = 2*17+5 = 39
As a check,
56+85+39 = 180
which confirms we have the right x value.
We see that 56 is the middle angle, so this is the second largest angle.
Answer:
The equation of the graphed line is:
Step-by-step explanation:
From the graph, it is clear that the line is a horizontal line at y = 2.
We know that a horizontal line has a slope of 0 because the value of y does not change no matter what the value of x we put in.
In other words, the equation of the horizontal line would always get the form:
y = k
where k is the y-intercept of the line.
Determining the y-intercept of the line:
We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.
From the graph, it is clear
at x = 0, y = 2
Thus, the y-intercept k = 2
Thus, if we substitute the y-intercept k = 2 in the equation y = k, we get the equation
y = 2
Therefore, the equation of the graphed line is:
Answer:
x = 25 ft
Step-by-step explanation:
here we see the student standing and creating a small triangle that is equivalent to the big triangle since it has the same angles, the only difference is that its smaller, so what we have to do is make a proportion of both triangles, so since 8 ft correspond with the 40 ft they're going to be in the same part of the proportion and the other measurements, including x, on the other part, so itll be 5/8 and x/40, see how the 8 and 40 are both on the bottom? thats because they correspond, so now all you have to do is cross butterfly, so you can set up an expression on 8x= 5*40 or you can just multiply 5*40 and then divide by 8, your answer will be x= 25 ft
