Answer:
2,778 in³
Step-by-step explanation:
Volume cube
v = 18³
v = 5,832
Volume sphere
v = (4/3)π9³
v = 3,053.6280592893
Volume space
v = 5,832 - 3,053.6280592893
v = 2,778.3719407107
2,778 in³
Answer:
x = 25
Step-by-step explanation:
The measure of an inscribed angle in a circle is half the measure of the arc it subtends. The acute angles in a right triangle are complementary.
__
Inscribed angle CAD is half the measure of arc CD, so is 80°/2 = 40°.
Acute angle 2x° is the complement of angle CAD in the right triangle shown, so we have ...
2x° = 90° -40° = 50°
x = 25 . . . . . . . . . . . . divide by 2°
Answer: -2.8
Step-by-step explanation:
3t-(8/5) * 4-t < -7
(15t-8)/5 * 4-t < -7
((15t-8)(4-t))/5 < -7
(15t^2)-28t-32< -7
(15t^2)-28t-32-7< 0
(15t^2)-28t-39< 0
Using the quadratic/almighty formula
t= (-b +- ((b^2)-4ac)^(1/2)/2a)
a=15, b=-28, c=-39
t= (-(28) +- (((-28)^2)-4(15)(-39))^(1/2))/2(15))
t= -2.8 or t= 0.9
Since
t<0, then t= -2.8
To get you answer into a fraction, you would need to multiply 33 by 3 and add 1, therefore you answer is 100/33
