An angle measures 114° less than the measure of its supplementary angle. What is the measure of each angle?
1 answer:
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Answer:
The volume of tennis ball = 38.808 .
Volume of golf ball = 33.523 .
Step-by-step explanation:
Given: The radius of the tennis ball is 2.1cm and the radius of thr golf ball is 2.0cm. the formula is V=4πr(to the 3rd power) /3 .
To find: Volume of tennis ball and golf ball .
Formula used: Volume = .
pi(π) = .
Explanation : We are given that
Radius of the tennis ball = 2.1 cm
radius of the golf ball =2.0 cm.
We need to find the volume of each ball
So , plugging the given values of radius in above formula
Volume of the tennis =
On simplification we get, volume of tennis ball = 38.808
Volume of the golf ball=
On simplification we get, volume of golf ball = 33.523
Therefore , The volume of tennis ball = 38.808 .
Volume of golf ball = 33.523 .
Answer:
A)82.02 mi
B) 18.7° SE
Step-by-step explanation:
From the image attached, we can see the angles and distance depicted as given in the question. Using parallel angles, we have been able to establish that the internal angle at egg island is 100°.
A) Thus, we can find the distance between the home port and forrest island using law of cosines which is that;
a² = b² + c² - 2bc Cos A
Thus, let the distance between the home port and forrest island be x.
So,
x² = 40² + 65² - 2(40 × 65)cos 100
x² = 1600 + 4225 - (2 × 2600 × -0.1736)
x² = 6727.72
x = √6727.72
x = 82.02 mi
B) To find the bearing from Forrest Island back to his home port, we will make use of law of sines which is that;
A/sinA = b/sinB = c/sinC
82.02/sin 100 = 40/sinθ
Cross multiply to get;
sinθ = (40 × sin 100)/82.02
sin θ = 0.4803
θ = sin^(-1) 0.4803
θ = 28.7°
From the diagram we can see that from parallel angles, 10° is part of the total angle θ.
Thus, the bearing from Forrest Island back to his home port is;
28.7 - 10 = 18.7° SE
