Hello there.
You want to help make snow cones at your school fair. Each paper cone has a radius of 4.5 centimeters. The height of one cone is 8.3 centimeters. What is the volume of one cone? Use 3.14
176.01
Answer:
The shortest side = 5
Step-by-step explanation:
Call one side = a
The middle side = b
the hypotenuse = c
a^2 + b^2 = c^2
a^2 + b^2 = 13^2
a^2 + b^2 = 169
a + b + c = 30
a + b + 13 = 30
a + b = 17
b = 17 - a
a^2 + b^2 = 169
a^2 + (17 - a)^2 = 169
a^2 + (289 - 34a + a^2) = 169
a^2 + a^2 - 34a + 289 = 169 Subtract 169 from both sides
2a^2 - 34a + 289 - 169 = 0
2a^2 - 34a + 120 = 0 Divide by 2
a^2 - 17a + 60 = 0
This quadratic is easily factored. You need two numbers that add to - 17 and multiply to 60
(a - 5) * (a - 12) = 0 Both give you positive answers. You only want the shortest side
a - 5 = 0
a = 5 Is 5 the shortest side?
a - 12 = 0
a = 12 Yes 5 is the shortest side.
Answer:
volume of the prism is in³
Step-by-step explanation:
volume of a cube with side length of :
(in)³ = in³
multiply this area by the amount of cubes:
12 × 3 × 2 = 72 cubes
in³ × 72 = = in³
volume of the prism is in³
Answer:
x = - 2√2
x = -2
Step-by-step explanation:
A . 5 + x² = 2 x² +13
5 + x² - 2 x² - 13 = 0
- x² -8 = 0
- x² = 8
x² = -8
x = - √8
x = - 2√2
B . 5 + x³ = 2 x³ + 13
5 + x³- 2 x³ - 13 = 0
- x³ -8 = 0
-x³ = 8
x³ = -8
x = - ∛8
x = -2
A statement or proposition which is regarded as being established, accepted, or self-evidently true