Since all sides of the square are equal, therefore area of square can be calculated using the following rule:
area of square = side^2
200 = (side length)^2
therefore,
the length of each side is sqrt(200) = 14.14 ft
Make bottom numbers same
find least common multipules of 8,12,4 and 3
8=2 times 2 times 2
12=2 times 2 times 3
4=2 times 2
3=3
lcm=2 times 2 times 2 times 3=24
5/8 times 3/3=15/24
5/12 times 2/2=10/24
3/1 times 24/24=72/24
1/4 times 6/6=6/24
2/3 times 8/8=16/24
we now have
15/24-10/24(72/24-6/24)+16/24
pemdas
simplify parenthasees first
72/24-6/24=66/24
now we have
15/24-10/24(66/24)+16/24
multiply
15/24-660/576+16/24
make same bottom number
15/24 times 24/24=360/576
16/24 times 24/24=384/576
360/576-660/576+384/576
84/576
7/48
answer is 7/48
Volume of reg sq. pyramid = vp
vp = 1/3×s^2×h, where s = side and h = height
Volume of cone = vc =1/3×h×pi×r^2
Now we know that h is the same for both, and the cones diameter = s of square base, so radius (r) = 1/2 s
so now vc = 1/3×h×pi×(1/2s)^2
let's remove the same items for both vc and vp
so 1/3 and h
now let's plug an arbitrary number into each:
vc = pi (10/2)^2 = 3.14×25 = 78.54
vp = s^2 = 10^2 = 100
So any square pyramid has slightly more volume than the cone
The y-intercept of the linear function y = 3x - 2 is -2
<h3>How to determine the y-intercept?</h3>
The function is given as
y = 3x - 2
The above function is a linear function, and the y-intercept is the point on the graph, where x = 0 i.e. the point (0, y)
As a general rule, linear functions are those functions that have constant rates or slopes
Next, we set x to 0, and calculate y to determine the value of the y-intercept
y = 3(0) - 2
Remove the bracket in the above equation
y = 3 * 0 - 2
Evaluate the product of 3 and 0 i.e. multiply 3 and 0
y = 0 - 2
Evaluate the difference of 0 and -2 i.e. subtract 0 from 2
y = -2
The above means that the value of y when x is 0 is -2
Hence, the y-intercept of the linear function y = 3x - 2 is -2
Read more about y-intercept at:
brainly.com/question/14180189
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50 because 50/100=2/4 and 2/4 is blue on the circle
