Answer:
x < 41/230
Step-by-step explanation:
5x x 46 < 41
230x < 41
Answer:
niglgapopfart
Step-by-step explanation:
12(5)6$78$???98
Answer:Yes, your answers are correct.
The volume of a cone is given by V = 1/3πr²h. Since the diameter of the first cone is 4, the radius is 2; therefore the volume is
V = 1/3π(2²)(8) = 32π/3
We divide the volume of the sink, 2000π/3, by the volume of the cone:
2000π/3 ÷ 32π/3 = 2000π/3 × 3/32π = 6000π/96π = 62.5 ≈ 63.
The diameter of the second conical cup is 8, so the radius is 4. The volume then is:
V = 1/3π(4²)(8) = 128π/3
Dividing the volume of the sink, 2000π/3, by 128π/3:
2000π/3 ÷ 128π/3 = 2000π/3 × 3/128π = 6000π/384π = 15.625 ≈ 16
Step-by-step explanation:
Answer:
The domain of the relation is ![[(5,16,18,21]](https://tex.z-dn.net/?f=%5B%285%2C16%2C18%2C21%5D)
Step-by-step explanation:
we have
![[(15,65),(21,70),(18,73),(16,62)]](https://tex.z-dn.net/?f=%5B%2815%2C65%29%2C%2821%2C70%29%2C%2818%2C73%29%2C%2816%2C62%29%5D)
Remember that
The domain of the relation are the values of x
The range of the relation are the values of y
therefore
The domain is
![[(5,21,18,16]](https://tex.z-dn.net/?f=%5B%285%2C21%2C18%2C16%5D)
order them from lowest to highest -------> ![[(5,16,18,21]](https://tex.z-dn.net/?f=%5B%285%2C16%2C18%2C21%5D)
The range is
![[65,70,73,62]](https://tex.z-dn.net/?f=%5B65%2C70%2C73%2C62%5D)
order them from lowest to highest ------->![[62,65,70,73]](https://tex.z-dn.net/?f=%5B62%2C65%2C70%2C73%5D)
Answer:

Step-by-step explanation:
(Assuming the correct angles are 30° and 45°)
We can use the tangent relation of the angle of elevation to find two equations, then we can use these equations to find the height of the pole.
Let's call the initial distance of the boy to the pole 'x'.
Then, with an angle of elevation of 30°, the opposite side to this angle is the height of the pole (let's call this 'h') minus the height of the boy, and the adjacent side to the angle is the distance x:

Then, with an angle of elevation of 45°, the opposite side to this angle is still the height of the pole minus the height of the boy, and the adjacent side to the angle is the distance x minus 10:

So rewriting both equations using the tangents values, we have that:


From the first equation, we have that:

Using this value of x in the second equation, we have that:




