The length of the unknown side length, |AB|, is 6.97
<h3>Trigonometry</h3>
From the question, we are to determine the value of the unknown side length
The unknown side length is the hypotenuse
Using SOH CAH TOA
We can write that
sin 35° = 4/|AB|
∴ |AB| = 4 /sin35°
|AB| = 4 /sin35°
|AB| = 6.97
Hence, the length of the unknown side length, |AB|, is 6.97
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Answer:
Step-by-step explanation:
<h3>Part B</h3>
Assumed the dimensions of the top and bottom parts are identical.
Since the cylindrical part has total height of 1.8 cm and the hemisphere volume is transferred to bottom part and the cone part is still full, the value of h is the difference of the total height of cylinder and full part of the top section of cylinder:
- h = 1.8 cm - 0.3 cm = 1.5 cm
<h3>Part C</h3>
Find the volume of sand in the bottom part. It consists of a hemisphere and a cylinder of 1.5 cm height.
- V(cylinder) = πr²h = 3.14*(2.6/2)²*1.5 ≈ 7.96 cm³
- V(hemisphere) = 2/3πr³ = 2/3*3.14*(2.6/2)³ ≈ 4.6 cm³
<u>Total sand in the bottom part:</u>
<u>Time taken:</u>
- 12.56 / 0.05 = 251.2 seconds = 4 min 11.2 seconds
Answer:
-2
Step-by-step explanation:
(-3x/2) - 3 = 3
add 3 to both sides
(-3x/2) = 3
multiply both sides by 2
-3x = 6
divide both sides by -3
x= -2
The formula that you will use will be the formula for the area of a circle, which is as follows:
A= Pi r^2
(Pi times the radius squared)
Based on the given situation above, the given values are 8 kilometers and 24 minutes. To simplify these values, we will come up with the result of 1 km in 3 minutes. Therefore, the winner of the New York marathon ran 0.33 kms per one minute so the runners unit rate is 0.33kms/minute.
