Answer:
1920 cm
Step-by-step explanation:
You multiply the values together. 8 times 20 times 12 is equal to 1920 cm.
Answer:
6 inches
Step-by-step explanation:
Formula for surface area of a cylinder:
![SA=2\pi r^{2} +2\pi rh](https://tex.z-dn.net/?f=SA%3D2%5Cpi%20r%5E%7B2%7D%20%2B2%5Cpi%20rh)
Plug in values and solve for the radius:
![180\pi =2\pi r^{2} +2\pi r(9)\\](https://tex.z-dn.net/?f=180%5Cpi%20%3D2%5Cpi%20r%5E%7B2%7D%20%2B2%5Cpi%20r%289%29%5C%5C)
Divide both sides by ![2\pi](https://tex.z-dn.net/?f=2%5Cpi)
![90=r^{2} +r(9)](https://tex.z-dn.net/?f=90%3Dr%5E%7B2%7D%20%2Br%289%29)
Subtract 90 from both sides
![0=r^{2} +9r-90](https://tex.z-dn.net/?f=0%3Dr%5E%7B2%7D%20%2B9r-90)
Use the quadratic equation to find the roots
±
(sorry for formatting, Brainly doesn't
allow equations with ± in them)
and ![x=\frac{-9-\sqrt{9^2-4*1*90} }{2(1)}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-9-%5Csqrt%7B9%5E2-4%2A1%2A90%7D%20%7D%7B2%281%29%7D)
and ![x=\frac{(-9-\sqrt{81+360})}{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B%28-9-%5Csqrt%7B81%2B360%7D%29%7D%7B2%7D)
and ![x=\frac{(-9-\sqrt{441})}{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B%28-9-%5Csqrt%7B441%7D%29%7D%7B2%7D)
and ![x=\frac{(-9-21)}{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B%28-9-21%29%7D%7B2%7D)
and ![x=\frac{-30}{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-30%7D%7B2%7D)
and
We can't have a negative radius, so that leaves us with r=6 in.
Step-by-step explanation:
the angle CDB is the supplementary angle to 9x+10 (angle ADC).
that means they stand together for 180°. as all angles around a single point on one side of a line are together always 180°.
and then, the sum of all angles in a triangle is always 180°.
so,
CDB + (4x + 10) + 50 = 180
CDB = 180 - (9x + 10) = 180 - 9x - 19 = 170 - 9x
therefore,
(170 - 9x) + (4x + 10) + 50 = 180
170 - 9x + 4x + 10 + 50 = 180
-5x = -50
5x = 50
x = 10
angle CDB = 170 - 9x = 170 - 90 = 80°
Answer:
Step-by-step explanation:
m<POQ + m<SOR = 90º. This makes these two angles complementary.
m<POQ + m<QOR + m<SOR = 180º. This is because the measure of a straight line is 180º.
hope this helps, reach out if you have more questions!
Answer:
x^2+5x-6
a = 1 b = 5 and c = -6
Using the quadratic formula:
x = [-5 +- sq root (25 -4 * 1 *-6) ] / 2 * 1
x = [-5 +- sq root (49)] / 2
x = [-5 +- 7] / 2
x1 = 1
x2 = -6
Step-by-step explanation: