Based on the distance of Planet X from Earth and the distance of Planet Y, Planet X is 5 ³/₅ light-years farther away.
<h3>How much farther is Planet X from Earth?</h3>
To find how out how much farther planet X is from Planet Earth than Planet Y, subtract the distances:
Solving gives:
= 8 ¹/₅ - 2 ³/₅
= 41/5 - 13 / 5
= 28/5
= 5 ³/₅ light-years
Find out more on light-year distance at brainly.com/question/76984
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Answer:
Height of the streetlight ≈ 8 ft(nearest foot)
Step-by-step explanation:
The doc file displays the triangle formed from the illustration. x is the height of the street light. The distance from the gentle man to the street light is 10 ft. He has a height of 5.6 ft and the shadow formed on the ground is 24 ft long. The height of the street light can be calculated below.
The length of the tip of the shadow to the base of the street light is 34 ft. Similar triangle have equal ratio of their corresponding sides .
ab = 5.6 ft
The ratio of the base sides = 24/34
The ratio of the heights = 5.6/x
The two ratio are equal Therefore,
24/34 = 5.6/x
24x = 5.6 × 34
24x = 190.4
divide both side by 24
x = 190.4/24
x = 7.93333333333
x ≈ 8 ft
Height of the streetlight ≈ 8 ft(nearest foot)
Since length of diagonal ( 
) is less than diameter of circle ( 11 cm ) , Therefore , the square will fit inside the circle without touching the edge of the circle.
<u>Step-by-step explanation:</u>
Here we have , A circle has diameter of 11 cm A square has side length of 7 cm . Use Pythagoras’ Theorem to show that the square will fit inside the circle without touching the edge of the circle . Let's find out:
We know the concept that for any square to fit inside the circle without touching the edge of circle , diagonal of square must be less than diameter of circle . Let's find out length of diagonal by using Pythagoras Theorem :
For a square , 
⇒ 
⇒ 
⇒ 
⇒
Since length of diagonal ( ) is less than diameter of circle ( 11 cm ) , Therefore , the square will fit inside the circle without ruching the edge of the circle.
Answer:
1/10.
Step-by-step explanation:
Prob(Spinning a 1) = 1/5.
Prob(Flipping a Head) = 1/2.
Probability of a 1 then a head = 1/5 * 1/2 = 1/10.
Note: we multiply the probabilities because the 2 events are independent.
