Answer:
Below.
Step-by-step explanation:
One method is by Trial and Improvement.
Example: Find the cube root of 20.
We know that cube root of 8 is 2 and cube root of 27 is 3 so the cube root of 20 is between 2 and 3.
So we could try 2.5:
2.5^3 = 6.25 * 2.5 - Use long multiplication to get 15.625.
So we need to go higher so we try 2.6*3:
= 17.576
2.7^3 = 19.683.
2.8^2 = 21.952.
The results are either side of 20 with 19.683 the closest.
So we can say that the cube root is 2.7 to the nearest tenth.
Further calculations are necessary to get an answer correct to the nearest hundredth.
This is a rather long process.......
The triangular pyramid is made of 4 congruent triangles. They all have the same shape and size, so they have the same area. The area of one triangle is
A = b*h/2
A = 5*4.3/2
A = 10.75
So four of them lead to a total surface area of 4*10.75 = 43 square meters
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The rectangular prism has the dimensions
L = 5
W = 5
H = 4.3
The surface area is found through the formula below
SA = 2*(L*W+L*H+W*H)
SA = 2*(5*5+5*4.3+5*4.3)
SA = 136
--------------------------
So far we found that
surface area of pyramid = 43 square meters
surface area of prism = 136 square meters
Dividing the values, we get 136/43 = 3.16279 approximately. The result is not equal to 2, so Susan's statement is not correct. The prism has more than twice the surface area of the pyramid
Answer:
y = -1/3x + 7/3
Step-by-step explanation:
A line that is perpendicular to another line has the opposite reciprocal slope. That means we flip the slope of the original line and place a negative in front. Since the original slope is 3, the slope perpendicular is -1/3.
Now that we know the slope, and because they gave us a point on that line, we can create a line. Plug in the points and the slope into y = mx + b, to solve for b, the y-intercept.
3 = -1/3 (-2) + b
9/3 = 2/3 + b
7/3 = b
Now we can create a line in slope intercept form: y = -1/3x + 7/3
Here is Standard Form if needed: x + 3y = 7
Step-by-step explanation:
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Answer:
K
Step-by-step explanation:
There naot similar because a is greater and bis less
