The angles in the triangle are 91 degrees, 53 degrees and 36 degrees respectively.
<h3>What is the cosine rule?</h3>
From the cosine rule we know that;
c^2 = a^2 + b^2 - 2abcosC
Since;
a = 0.47 m
b = 0.62 m
c = 0.78 m
Then;
(0.78)^2 = (0.47)^2 + (0.62)^2 - 2(0.47 * 0.62)cosC
0.61 = 0.22 + 0.38 - 0.58 cosC
0.61 - ( 0.22 + 0.38) = - 0.58 cosC
0.01 = - 0.58 cosC
C = cos-1(0.01/-0.58)
C = 91 degrees
Using the sine rule;
b/Sin B = c/Sin C
0.62/sinB = 0.78/sin 91
0.62/Sin B = 0.78
B = sin-1 (0.62//0.78)
B = 53 degrees
Angle A is obtained from the sum of angles in a triangle;
180 - (91 + 53)
A = 36 degrees
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Answer: Yes, he is exceeding the speed limit
Explanation:
Hi!
This is problem about unit conversion
1 mile = 1,609.344 m
Then the speed limit v is:
v = 75 mi/h = 120,700.8 m/h
1 hour = 60 min = 60*60 s = 3,600 s
v = (120,700.8/3,600) m/s = 33.52 m/s
38 m/s is higher than the speed limit v.
Answer:
Explanation:
Givens
Heat of Fusion = 2.05 * 10^5 J / kg watch the units.
Heat to actually melt the copper = 82 10^5 J
Formula
Mass of copper = Heat / Heat of Fusion
Solution
Mass of copper = 82*10^5 J / (2.05 * 10^5 J / kg)
Mass of copper = 40 kg
Notice that the kg is in the denominator of the second fraction. The rules of fractions would tell you the 1/1 / / 1 /kg . You take the right fraction and turn it upside down and multiply. 1 / 1 * kg/1 = 1* kg / 1*1 which is just kg.
Answer 40 kg of copper
The answer would be D.) Nebula
<h3><u>Answer and explanation;</u></h3>
- <em><u>Sound waves are mechanical waves and are examples of the longitudinal type, a longitudinal wave involves the movement of molecules in the medium parallel to the direction of the wave.</u></em>
- Sound waves are longitudinal mechanical waves because they move particles parallel to their direction of travel. For example, if a sound wave travels from left to right.
- <em><u>Pitch is what we perceive as the low or high note quality of a sound. Pitch is determined by the frequency of the sound wave that moved through the air to our eardrums. Frequency is the time taken for a complete oscillation of a wave. </u></em>
- The more energy or work used to create the vibration, which in turn creates the sound wave, the greater the amplitude of the wave and the louder the sound. Wavelength is the distance between two successive rarefactions or compression in a longitudinal wave.
- For example, if you were to lightly hit a drum with a drum stick, there would be a softer sound as opposed to the loud boom that would be created if you hit the drum with all of your might