4NEVAEH Last Saved: 11:16 AM
A vase in the shape of a cylinder has a radius of 4.3 centimeters and a volume of 1330.2 cubic centimeters, as
shown in the diagram.
What is the height of the vase in centimeters? Round your answer to the nearest tenth.
Answers
Answer:
h = 22.91 cm
Step-by-step explanation:
Given that,
The volume of a vase, A = 1330.2 cm³
Radius of the vase, r = 4.3 cm
We need to find the height of the vase. The formula for the volume of a cylinder is given by :
or
h = 23 cm
So, the height of the vase is equal to 23 cm.
Related Questions
If f(x) = 3x - 1 and g(x) = x + 2, find (f- g)(x).PLZZ HELPPP
How many hours between 8:15 to 12:45 ?
Eric must pay off a loan of $3,500 in 5 years. Use the appropriate formula to find the amortization payment he would need to make each six months, at 12% interest compounded semiannually
What are the values of x in the equasion x(x-6)=4(x+6)
0.015
0.245
0.735
Answers
Answer:
Option 3 is correct.
Step-by-step explanation:
Given that Nathan had an infection, and his doctor wanted him to take penicillin. Because Nathan’s father and paternal grandfather were allergic to penicillin, Nathan has a 75% chance of having the same allergy. The doctor performed a skin test to see whether Nathan would react to it. The test is 98% accurate.
we have to find the probability that Nathan is not allergic to penicillin and the test predicts it.
As, Nathan has a 75% chance of having the same allergy.
Hence, (100-75)%=25% chance of not having the same allergy.
Also the test predicts given
∴ Probability that Nathan is not allergic to penicillin and the test predicts it is =
=
Hence, Option 3 is correct.
Answers
Answer:
How far did the ship travel between the two observations of the lighthouse = 9.29
Step-by-step explanation:
the first step to answer this question is drawing the illustration as the attachment.
P is the ship, R is the light house and Q is the bearing.
PR is the distance between the ship and the light house, PR = 10.5
∠P = 42.8°, ∠Q = 59.7°
Thus, ∠R = 180° - ∠P - ∠Q
= 180° - 42.8°- 59.7°
= 77.5°
PQ is the the distance of the ship moving. We can use the sinus equation
=
=
PQ = ()(sin 59.7°)
= 9.29
Final answer:
Using trigonometric principles, the ship is estimated to have traveled approximately 19.8 miles between the two observations.
Explanation:
Your question involves the application of trigonometry in real life, in this case, calculating the distance traveled by a ship. The first sighting puts the lighthouse at N 42.8 degrees E, and the second sighting puts it at S 59.7 degrees E. So, the angle turned by the ship, relative to the lighthouse is 42.8 degrees + 59.7 degrees = 102.5 degrees.
We know the distance to the lighthouse from the first sighting is 10.5 units (let's say miles), and we need to find the distance traveled by the ship in the meantime. So, if we draw this situation it will resemble a triangle with the lighthouse as one point, and the initial and final positions of the ship as other points. The triangle will have one angle (between the initial position of the ship, the lighthouse, and the final position of the ship) of 102.5 degrees and one side (distance from the lighthouse to the initial position of the ship) of 10.5 miles. Now, the side of a triangle opposite an angle in a triangle is given by the side adjacent to the angle times the tangent of the angle.
So, the distance traveled by the ship = 10.5 * tan(102.5) = 19.8 miles approximately.
Learn more about Trigonometry here:
#SPJ11
Answers
Hi Panda
m²/5f²/m/f³
= m²/5f^5m
= m/5f^5
I hope that's help:0
The sum is
Answers
Answer : 840
1 + 41 = 42
2 + 40 = 42
___________
20 pairs
20 × 42 = 840
Answer:
Step-by-step explanation:
Answers