Since opposite angles of a cyclic quadrilateral are supplementary,
A= 180-101=79°
B= 180-68=112°
The distance traveled by the light in 2 hours is 2.16×10⁹ km.
<h3 /><h3>Distance:</h3>
This is the total length of space between two points covered by an object. Distance has no regard for direction as it is termed a scalar quantity. The S.I unit of distance is meter(m).
To calculate the distance traveled by the light in 2 hours, first, we need to calculate the speed of the light.
Formula:
- S = d/t................. equation 1
Where:
- S = speed
- d = distance travelled
From the question,
Given:
- d = 1.08×10⁹ km
- t = 1 hour
Therefore,
The distance traveled in 2 hours is
- d = 2×1.08×10⁹
- d = 2.16×10⁹ km
Hence, the distance traveled by the light in 2 hours is 2.16×10⁹ km
Learn more about distance here: brainly.com/question/23848540
Answer:
-11/3
-1/3
The multiplicative inverse of a fraction a/b is b/a. For the multiplicative inverse of a real number, divide 1 by the number. For example, the reciprocal of 5 is one fifth (1/5 or 0.2), and the reciprocal of 0.25 is 1 divided by 0.25, or 4.
Step-by-step explanation:
Hope it is helpful......
Let's make p stand for popcorn and d for drinks. Using those variables, we can create our equations:
2p + 3d = 18.25
4p + 2d = 27.50
From this, we can use substitution or elimination to solve:
For substitution, in the second equations, we could factor out a 2, divide both sides by 2, and then move the left over 2p to the other side to isolate d to put into the first equation.
For elimination, we can multiply the first equation by -2 so that we can remove the 4p and focus on solving for d.
I'll be using elimination in this case:
-2(2p + 3d = 18.25) --> -4p - 6d = -36.50
-4p - 6d = -36.50
4p + 2d = 27.50
-4d = -9.00
d = 2.25
4p + 2 * 2.25 = 27.50
4p + 4.50 = 27.50
4p = 23.00
p = 5.75
Now let's check our answer:
2 * 5.75 + 3 * 2.25 = 18.25
11.50 + 6.75 = 18.25
18.25 = 18.25
So drinks cost $2.25 and popcorn $5.75
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