Answer:
5.70456 slug
Step-by-step explanation:
Data provided in the question:
Dimensions of the room = 20 ft long, 15 ft wide, and 8 ft high
Now,
Volume of the room = 20 × 15 × 8
or
Volume of the room = 2400 ft³
we know,
Density of air = 0.0023769 slug/ft³
Therefore,
Mass of air in the room = Volume × Density
= 0.0023769 × 2400
= 5.70456 slug
A heptagon has seven sides. The measure of the final interior angle of the heptagon is 124°.
<h3>What is heptagon?</h3>
A heptagon, sometimes known as a septagon, is a seven-sided polygon. The heptagon is also known as the septagon, which combines the prefix "sept-" with the Greek suffix "-agon," which means "angle."
A heptagon has 7 sides therefore, the sum of the interior angle of the heptagon can be written as,
As it is said in the problem that the sum of the all the angles of the heptagon except one is 776°, therefore, the measure of the last angle of the heptagon is,
The measure of the last angle = 900° - 776° = 124°
Hence, the measure of the final interior angle of the heptagon is 124°.
Learn more about Heptagon:
brainly.com/question/12630702
Lcm stands for Least common multiple
The lcm of these numbers is 48
6 - 6, 12, 18, 24, 30, 36, 42, [ 48]
16 - 16, 32, [48 ]
Therefore 48 is the lcm because it is the lowest number 6 and 16 have in common
So, each square on the grid is 10 inches in length and width
To find the dimension of the diagonal lengths, treat them like a hypotenuse so we can use the Pythagorean theorem.
a^2 + b^2 = c ^2
a and b are our length and width and c is the hypotenuse.
Make each diagonal length part of a triangle. There will then be 4 triangles to work with.
Triangle 1 (Top left)
Triangle 2 (Bottom left)
Triangle 3 (Top Right)
Triangle 4 (Bottom Right)
A right triangle made with the top left diagonal dimension will have a vertical dimension of 30 (10+10+10) and a horizontal dimension of 40 (10+10+10+10)
To find c or the hypotenuse, plug these into the Pythagorean theorem.
30^2 + 40^2 = c ^2
c^2 = 900 + 1600 = 2500
c = sqrt(2500) = 50
You will see that triangles 2, 3, and 4 have the same vertical and horizontal dimensions giving them the same value.
Now combine the dimensions
diagonal = 50+50+50+50 = 200
horizontal = 90+90 = 180
diagonal + horizontal = 380
Answer:
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