Answer:
-8
Step-by-step explanation:
f(1)=-3(1)-5=-3-5=-8
Answer:
41 ≤ x
x ≤ 45
Step-by-step explanation:
A. it is a hexagon (there are 6 sides) B. using the equation (n-2)180 (where n is the number of sides we get (6-2)180=4*180=720. divide 720 by 6 to get 120 for each angle of the hexagon. (it has no irregularities in it's shape so that number will be correct for them all.) C. to get that just divide 39 by 6 to get 6.5 in per side. Hope that helps:)
Answer:
Option (4).
Step-by-step explanation:
Outer diameter of the hollow metallic ball = 10 centimeters
Outer radius of this ball =
= 5 cm
Volume of the outer ball
= ![\frac{4}{3}\pi (r)^3](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B3%7D%5Cpi%20%28r%29%5E3)
= ![\frac{4}{3}\pi (5)^3](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B3%7D%5Cpi%20%285%29%5E3)
Inner radius of the hollow metallic ball = (5 - 1) = 4 cm
Volume of the inner hollow ball
= ![\frac{4}{3}\pi (4)^3](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B3%7D%5Cpi%20%284%29%5E3)
Volume of the metal used in the metallic ball = ![V_{1}-V_{2}](https://tex.z-dn.net/?f=V_%7B1%7D-V_%7B2%7D)
= ![\frac{4}{3}\pi (5)^3-\frac{4}{3}\pi (4)^{3}](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B3%7D%5Cpi%20%285%29%5E3-%5Cfrac%7B4%7D%7B3%7D%5Cpi%20%284%29%5E%7B3%7D)
= ![\frac{4}{3}\pi [(5)^3-(4)^3]](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B3%7D%5Cpi%20%5B%285%29%5E3-%284%29%5E3%5D)
Therefore, expression given in option (4) will be used to measure the volume of the hollow metallic ball.
Answer:
13 miles.
Step-by-step explanation:
These distances form a right angled triangle with legs 4+1 = 5 and (7+5) = 12 miles and the distance between A and B is the hypotenuse.
So the distance AB^2 = 5^2 + 12^2 = 169
AB = sqrt 169 = 13 miles.