![log_{10}(2) \times log_{10}(3)](https://tex.z-dn.net/?f=%20log_%7B10%7D%282%29%20%20%20%5Ctimes%20%20%20log_%7B10%7D%283%29%20)
in log multiplication means addition
hence we add giving us
![log_{10}(2 + 3)](https://tex.z-dn.net/?f=%20log_%7B10%7D%282%20%2B%203%29)
![= log_{10}(5)](https://tex.z-dn.net/?f=%20%3D%20%20log_%7B10%7D%285%29%20)
(5,12,13) is a right triangle and can be constructed.
All the others do not satisfy the triangle inequality, i.e. the sum of two short sides must exceed the long side in order for the triangle to be constructed.
Examples:
2+11<15, so no
3+7<11, so no
4+8<15, so no
but 5+12>13 so yes, it can be constructed.
Answer:
6075π ft^3
Step-by-step explanation:
The formula for a cylinder is πr^2 * h
were:
h = height
and r = radius
and because the radius is always 1/2 of the diameter, the radius is 22.5.
So now we plug everything in:
π*22.5^2 * 12
= π*506.25 * 12 =
π * 6075 =
6075π
please don't forget to add the units.
Since vertical angles are equal you can put the same value to the opposite angles. Also, you were given a supplementary angle which are two angles added to 180 degrees. Of those 180 you were given 100. The angle next to the 100 degrees has a value of 80. With all this, you add all the angles together and put it equal to 180 which is what the angles of a triangle add up to. Then you combine like terms to get the value of X and just replace it for x. After that you just multiply and then add.
Answer:
tdy
Step-by-step explanation:
tyzey