A the first answer because the triangles are the same they are just flipped
Answer:
A.
5 ^ (5/6)
Step-by-step explanation:
5 ^ (1/2) * 5 ^ (1/3)
We know that a^b * a^ c = a ^ (b+c)
5 ^ (1/2 + 1/3)
5^ (3/6+2/6)
5^ (5/6)
Answer:
The volume of the cone is approximately 453.0 cm³
Step-by-step explanation:
The volume of a cone is one third that of a cylinder with the same height and radius. That gives us 1/3 πr²h, where r is radius and h is height.
However, we are not given the height of the cone, but the side length. We can work out the height using the Pythagorean theorem, as we have a right triangle with the height, base radius, and length. You may recall that the Pythagorean theorem states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of it's other two sides:
So we can find the height of the cone with that:
Now that we have the cone's height, we can solve for its volume:
For this case we have the following expression:
For simplicity we follow the steps:
We apply distributive property to the terms within the parenthesis, bearing in mind that:
We add similar terms taking into account that equal signs are added and the same sign is placed, while different signs are subtracted and the sign of the major is placed.
ANswer:
Answer:
1. 54 and 9/20 km
2. 80 mm
3. 1.142 mi
4.0.83333 cm
Step-by-step explanation:
Do them all by the butterfly method.