Answer: es -4 + 7 = 3
Step-by-step explanation:
Answer:
Figure 1's surface area: 550 
Figure 2's surface area: 530
Figure 3's surface area: 790
So, the order of the figures' surface areas is: Figure 2 < Figure 1 < Figure 3.
Step-by-step explanation:
Bearing in mind that the surface area of a 3D object is the total area of its surface (that is the sum of the areas of its faces), we can count the number of distinct shapes in each figure, calculate their areas and add them up. Be careful not to add the faces that are "inside".
<u>Figure 1</u>
Its surface area consists of 13 squares of 5x5
and 3 rectangles of 15x5. So, its surface area is (13x25 + 3x75)
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<u>Figure 2</u>
Its surface area consists of 6 squares of 5x5, 3 rectangles of 17x5, 1 rectangle of 13x5 and 2 triangles of base 12 feet and height 5 feet. So, its surface area is (17x5x3+6x5x5+13x5+12x5x2:2)
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<u>Figure 3</u>
Its surface area consists of 2 rectangles of 12.5x5
, 1 rectangle of 11x5, 2 triangles of base 12 feet and height 5 feet, 1 rectangle of 11x13, 2 rectangles of 12.5x11 and 1 rectangle of 12x11.
So, its surface area is (2x12.5x5+11x5+2x12x5:2+11x13+2x12.5x11+12x11)
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This has a lot of scary words and numbers in it, but it's all just fluff.
That big ugly formula is nothing but numbers, except for the 'h' in it
near the end. When you write your altitude in place of 'h' and push
all the numbers through your calculator, the answer is the air pressure
at that altitude.
All it's asking you to do is this:
-- Write ' 100 ' into the big formula.
-- Run all the numbers through the calculator and get the pressure at 100 meters.
-- Then write ' 1000 ' into the formula.
-- Run the whole thing through the calculator again, and see what
the pressure is at 1,000 meters.
-- Subtract, and see how much the pressure changed between 100 meters
and 1,000 meters.
You want to know what I think the whole idea is here ? I think the whole idea
is to get you to decide which things to do first as you calculate the formula,
AND to give you practice in using your calculator to do weird stuff.
In the formula, I see a power, a set of parentheses, two multiplications, and
one subtraction. You have to decide what order to do them in. And THEN,
you have to figure out how to do them all with your calculator.
Here's the order:
-- Inside the parentheses, multiply 2.25577x 10⁻⁵ by 'h' .
-- Inside the parentheses, subtract the result from ' 1 '.
-- Take the number inside the parentheses, and raise it to the 5.25588 power.
-- Then multiply the result by 101,325 .
For 100 meters altitude, the pressure you should get is 100,129 pascals.
Make sure you can get that with your calculator when you put '100' in place
of 'h'. And then, when THAT works, do it with 1,000 in place of 'h'.
The number you get for 1,000 meters should be about 10,254 pascals less.
Option C:
Line segment XZ is drawn in the figure.
Solution:
Given image is the circle.
<em>A line segment is a portion of a line that has two end points.</em>
There are three lines passing on the circle. They are W, Y and Z.
<u>To find which line segment is drawn in the figure:</u>
Option A: Line segment YZ
In the circle, YZ is not a line segment which is an arc.
Hence it is false.
Option B: Line segment WY
In the circle, WY is not a line segment which is an arc.
Hence it is false.
Option C: Line segment XZ
In the circle, XZ is a line segment drawn from the center of the circle, which has two end points.
Hence it is true.
Option D: Line segment WZ
In the circle, WZ is not a line segment which is an arc.
Hence it is false.
Therefore Option C is the correct answer.
Line segment XZ is drawn in the figure.
