For an acute angled triangle
h^2 < x^2 + y^2 where h = longest side and x and y are the other 2 sides.
so here we have
15^2 < x^2 + (2x)^2
15^2 < 5x^2
x^2 > 15*3 = 45
x > sqrt 45 or x > 6.7
So smallest whole number value of x is 7
Answer:
1
pounds of candy
Step-by-step explanation:
Add together the fractions by creating a common denominator of 6:
![\frac{5}{6} + \frac{1}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B6%7D%20%2B%20%5Cfrac%7B1%7D%7B3%7D)
![\frac{5}{6} + \frac{2}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B6%7D%20%2B%20%5Cfrac%7B2%7D%7B6%7D)
= ![\frac{7}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B6%7D)
Simplify into a mixed fraction:
= 1 ![\frac{1}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B6%7D)
So, the girls had 1
pounds of candy
Answer:
<u>Volume of Green Sand = </u>
<u> cubic centimeters</u>
Step-by-step explanation:
<em><u>The image is shown below.</u></em>
<em><u /></em>
We need to find volume of cone and volume of cylinder.
The green sand space is:
Volume of Cylinder - Volume of Cone
Formulas:
Volume of Cylinder = ![\pi r^2 h](https://tex.z-dn.net/?f=%5Cpi%20r%5E2%20h)
Volume of Cone = ![\frac{1}{3}\pi r^2 h](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D%5Cpi%20r%5E2%20h)
Given, r = 5 and h = 24 (in centimeters), we find the green sand volume:
Volume of Green Sand = Volume of Cylinder - Volume of Cone = ![\pi r^2 h - \frac{1}{3} \pi r^2 h = \frac{2}{3} \pi r^2 h = \frac{2}{3} \pi (5)^2 (24) = \frac{2}{3} \pi (25)(24) = 400 \pi](https://tex.z-dn.net/?f=%5Cpi%20r%5E2%20h%20-%20%5Cfrac%7B1%7D%7B3%7D%20%5Cpi%20r%5E2%20h%20%3D%20%5Cfrac%7B2%7D%7B3%7D%20%5Cpi%20r%5E2%20h%20%3D%20%5Cfrac%7B2%7D%7B3%7D%20%5Cpi%20%285%29%5E2%20%2824%29%20%3D%20%5Cfrac%7B2%7D%7B3%7D%20%5Cpi%20%2825%29%2824%29%20%3D%20400%20%5Cpi)
<u>Volume of Green Sand = </u>
<u> cubic centimeters</u>
Answer:
thx
Step-by-step explanation:
really needed them and merry christmas
Answer:
The answer is C
Step-by-step explanation:
You have to isolate the variable by dividing each side by factors that don't contain the variable.
Hope it helps.