Answer:
254.5 in.^2
Step-by-step explanation:
diameter of mirror = 12 in.
radius of mirror = diameter/2 = 13 in. / 2 = 6 in.
frame width = 3 in.
radius if combined mirror and frame = 6 in. + 3 in. = 9 in.
A = (pi)(r^2)
A = 3.14159 * (9 in.)^2
A = 3.14159 * 81 in.^2
A = 254.5 in.^2
A histogram is a graphical representation of discrete or continuous data. To put it another way, it gives a visual representation of numerical data by displaying the amount of data points that fall within a given range of values.
The temperature was changing at a rate of 2.925 degrees Celsius in 2005
<h3>How to determine the rate in 2005</h3>
From the graph (see attachment), we have the following ordered pair
(x,y) = (5,14.625)
The above means that, the temperature in 2005 is 14.625 degrees Celsius
So, the rate in 2005 is:
Hence, the temperature was changing at a rate of 2.925 degrees Celsius in 2005
Read more about average rates at:
brainly.com/question/8728504
Let's plug in each coordinate and see what we get:
(2, 0, 0)
-> 2A + 0 + 0 = D
-> 2A = D
-> A = D/2
(0, 6, 0)
-> 0 + 6B + 0 = D
-> 6B = D
-> B = D/6
(0, 0, 5)
-> 0 + 0 + 5C = D
-> 5C = D
-> C = D/5
plugging this back into the equation:
(D/2)x + (D/6)y + (D/5)z = D [then divide through by D]
(1/2)x + (1/6)y + (1/5)z = 1
and since we have to have integer coefficients,
multiply through by 30
so we get
15x + 5y + 6z = 30
Second question
<span>Take a look at the bottom-left point in the picture.
If you move three points in the y-direction, you'll reach to the point A.
If you instead move up 4 points (or in the z-direction), you reach D.
And finally, if you walk back to point F from point E, you'll have moved back 4 points in the x direction. </span>
<span>This gives us our measurements, or dimensions: 3 x 4 x 4.
If this were a rectangular prism, the dimensions would just be each of them multiplied.
But since it's triangular, you need to divide it by two. That gives you a total volume of
(3x4x4)/2 = 24.</span>
