Answer:the answer is D
Step-by-step explanation:
Answer:
It's a right triangle.
Step-by-step explanation:
△ABC with m∠A=30° , m∠B=60° , and m∠C=90°
It's a right triangle.
Where is the shape or do you have a picture of it
<u>Answer:</u>
x = 0.417 or x = -0.917
<u>Step-by-step explanation:</u>
We are given the following expression and we are to solve it for the variable x:
![x ^2 + \frac { 1 } { 2 } x + \frac { 1 } { 1 6 } = \frac { 4 } { 9 }](https://tex.z-dn.net/?f=%20x%20%5E2%20%2B%20%5Cfrac%20%7B%201%20%7D%20%7B%202%20%7D%20x%20%2B%20%5Cfrac%20%7B%201%20%7D%20%7B%201%206%20%7D%20%3D%20%5Cfrac%20%7B%204%20%7D%20%7B%209%20%7D%20)
We will find the least common multiple of 2. 6 and 9:
![x^2 \times 144 +\frac{1}{2}x \times 144 +\frac{1}{16} \times 144 = \frac{4}{9} \times 144](https://tex.z-dn.net/?f=x%5E2%20%5Ctimes%20144%20%2B%5Cfrac%7B1%7D%7B2%7Dx%20%5Ctimes%20144%20%2B%5Cfrac%7B1%7D%7B16%7D%20%5Ctimes%20144%20%3D%20%5Cfrac%7B4%7D%7B9%7D%20%5Ctimes%20144)
Simplifying it to get:
![144x^2+72x+9=64](https://tex.z-dn.net/?f=144x%5E2%2B72x%2B9%3D64)
![144x^2+72x+9-64=0](https://tex.z-dn.net/?f=144x%5E2%2B72x%2B9-64%3D0)
![144x^2+72x-55=0](https://tex.z-dn.net/?f=144x%5E2%2B72x-55%3D0)
Using the quadratic formula to solve for x:
![x=\frac{-b \pm\sqrt{b^2-4ac} }{2a}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-b%20%5Cpm%5Csqrt%7Bb%5E2-4ac%7D%20%7D%7B2a%7D)
![x=\frac{-72 \pm\sqrt{72^2-4(144)(-55)} }{2a}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-72%20%5Cpm%5Csqrt%7B72%5E2-4%28144%29%28-55%29%7D%20%7D%7B2a%7D)
or ![0.417](https://tex.z-dn.net/?f=0.417)
or ![-0.917](https://tex.z-dn.net/?f=-0.917)
Answer:
A. 300π units³
Step-by-step explanation:
Formula for volume of a cone = ⅓πr²h
Where,
radius (r) = ½(10) = 5 units
height (h) = 36 units
Plug in the values and find the volume in terms of π
Volume of the cone = ⅓*π*5²*36
Volume of the cone = 300π units³