-x^2+2x+3=x^2-2x+3 add x^2 to both sides
2x+3=2x^2-2x+3 subtract 2x from both sides
3=2x^2-4x+3 subtract 3 from both sides
2x^2-4x=0 factor
2x(x-2)=0
So x=0 and 2
Let
x = first consecutive odd
x + 2 = second consecutive odd
Based on the problem, we equate
x + (x + 2) = 32
Solving for x,
2x + 2 = 32
2x = 32 - 2
2x = 30
x = 30/2
x = 15
and x + 2 = 15 + 2 = 17
Therefore, the integers are 15 and 17.
Answer:
93 degrees
Step-by-step explanation:
first, lets add 38+49 to see the sum
38+49=87
since the sum of all three angles in every triangle equals 180, we can subtract this sum from 180 to get the answer
180-87=93
so the missing angle would be 93
Answer:
Step-by-step explanation:
Given
Hemisphere
Cone
Required
Determine the radius of the cone
First, we calculate the volume (V1) of the hemisphere.
Substitute 7 for r
Volume (V2) of a cone is:
Because the lead is cast into a cone, then they have the same volume.
So, we have:
Substitute 49 for h
Divide both sides by 49
<em>Hence, the radius of the cone is 3.74cm</em>
