Answer:
505/19
Step-by-step explanation:
Easy
so [3^3-(1/2)^(-3)*(1/19)]
simplify
3^3-8/19
3^3=27
27-8/19
convert element to fraction
(27*19)/19-8/19
combine
(27*19-8)/19
505/19
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Step-by-step answer:
This is a regular heptagon, means it has 7 <em>congruent</em> sides and 7 <em>congruent </em>vertex angles.
To work with polygons, there is a very important piece of information that you must know to solve the majority of related problems.
This is:
sum of exterior angles of polygons = 360 degrees.
If you don't remember the 360 degrees, think of the sum of exterior angles of an equilateral triangle, which is 3*(180-60)=3*120=360! It works!
For a regular heptagon, c = 360/7=51.43 degrees approx.
This means that each vertex angle measures
vertex angle = 180-c
So since 2d+the vertex angle = 360, we have
2d+(180-c)=360
solve for d:
2d=360-(180-c)=180+c
d=(180+c)/2=90+c/2=115.71 degrees. (approx.)
The angular size of Mars, as seen from the Earth, when it was closest to the Earth is 25 arcseconds.
<h3>What is angular size?</h3>
It should be noted that angular size is the object's apparent size as seen from an observer on Earth.
At its closest approach, the angular size of Mars is 25 arcseconds. This was known through the use of a telescope.
Learn more about Mars on:
brainly.com/question/644043
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The approximate area of the park on the grid is: E. about 40 km² to 50 km².
<h3>How to Find the Approximate Area on a Coordinate Grid?</h3>
The number of square on a coordinate grid that is covered determines the area covered. We can make an estimate by counting how many of this square on the coordinate grid that is covered, then find out the area depending on how much square area each grid represents.
In the coordinate plane given, which shows a park, we are told that each of the square on the grid equals 1 k = square kilometer.
The number of each of these squares we can find that is covered by the park on the grid is: 48 squares.
Therefore, the area of 48 squares on the grid = 48 × 1 = 48 km². Since not all squares are fully covered by the park, we can state that the approximate area of the park on the grid is: E. about 40 km² to 50 km².
Learn more about the approximate area on a grid on:
brainly.com/question/368985
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