In your question it seems like there should be choices too! Either way, how does one find the volume of a sphere?
Answer:
Similar AA
Step-by-step explanation:
To find the third angle of a right triangle you add 90 to the angle and subtract from 180
so angle E is 180-(55+90)=35 so the triangles have 2 angles are the same so
Similar AA
Answer:
The number of 57-cent stamps that Julie bought is 12
Step-by-step explanation:
Given equation
0.57 s + 0.3 ( s − 6 ) = 8.64
Open bracket
0.57s + 0.3s - 1.8 = 8.64
Collect like terms
0.87s = 8.64 + 1.8
0.87s = 10.44
Divide both sides by 0.87
s = 12
The number of 57-cent stamps that Julie bought is 12
Something that a right triangle is characterised by is the fact that we may use Pythagoras' theorem to find the length of any one of its sides, given that we know the length of the other two sides. Here, we know the length of the hypotenuse and one other side, therefor we can easily use the theorem to solve for the remaining side.
Now, Pythagoras' Theorem is defined as follows:
c^2 = a^2 + b^2, where c is the length of the hypotenuse and a and b are the lengths of the other two sides.
Given that we know that c = 24 and a = 8, we can find b by substituting c and a into the formula we defined above:
c^2 = a^2 + b^2
24^2 = 8^2 + b^2 (Substitute c = 24 and a = 8)
b^2 = 24^2 - 8^2 (Subtract 8^2 from both sides)
b = √(24^2 - 8^2) (Take the square root of both sides)
b = √512 (Evaluate 24^2 - 8^2)
b = 16√2 (Simplify √512)
= 22.627 (to three decimal places)
I wasn't sure about whether by 'approximate length' you meant for the length to be rounded to a certain number of decimal places or whether you were meant to do more of an estimate based on your knowledge of surds and powers. If you need any more clarification however don't hesitate to comment below.