Answer:
1.
ft 2.
yards 3.
units.
Step-by-step explanation:
Pythagorean's Theorem 
A and b are both side lengths, c is the hypotenuse.
7^2 + 5^2 = 74
sqrt(74) is the answer for 1.
30^2 - 5^2 = 875
Simplify the radical. sqrt(875) --> 5sqrt(35). The answer for three.
There's a rule in geometry that says a diagonal of a square is the same length as taking a side length times the square root of two. There's your answer for two.
Answer:
j=13, g=20.8, h=24
Step-by-step explanation:
The overall shape given and the shape within, are both right triangles. With right triangles, you are allowed to use the pythagorean theorem formula (
) in order to solve for some sides. In this case, that would be j and h. The five in the smaller triangle is represented by b and the 12 is the hypotenuse so it is represented by c. When you plug in those numbers in the pythagorean theorem formula, you will find the value of j to be 13. When looking at this, we see that 12 is the second greatest value in the right triangle values that we just found, so we know the the opposing angle for that one will be 60 degrees. The 5's opposing side is therefore 30 degrees. When subtracting 90 and 30, we get 60, so therefore you can use the 30 60 90 formula to find the sides of the bigger triangle. The 60 degrees represents g. This formula will be
. The a is 12 since it is the smallest value. So therefore, g is
, which is 20.8. Now that we have this side, we can just use the pythagorean theorem formula to find the remaining side. Therefore, h is going to be 24
Volume of cylinder is 3 times of volume of cone having same base diameter and same height.
<u>Solution:</u>
Given that
A cylinder and A cone have the same diameter = 10 inches and same height = 12 inches
Need to find the relationship between volume of cylinder and cone.
Let’s calculate volume of each object separately first.
<em><u>Calculation of volume of cylinder :</u></em>
Formula of volume of cylinder is given as:

Where π=3.14

height h = 12 inches
On substituting given values in formula of cylinder we get

<em><u>Calculation of volume of cone:</u></em>
Formula of volume of cone is given as:

Here π=3.14

On substituting given values in formula of cone we get


On comparing the two volumes we get

Hence can conclude that Volume of cylinder is 3 times of volume of cone having same base diameter and same height.
The sum of -2.5, -3 and 6.7 is 1.2
Answer:
Reflecting a function over any axis can be complicated if you do not know the proper way to do it, so I am going to use examples to show you.
If f(x)=x is your normal function, then flipping it across the y-axis would look like f(x)=-x.
Step-by-step explanation:
Placing a - sign before the X will make it flip across the y-axis. After the X, and it flips across the X-axis.