Suppose a railroad rail is 3 kilometers and it expands on a hot day by 15 centimeters in length. Approximately how many meters would the center of the rail rise above the ground?
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Answer:
The center of the rail rise above the ground is:
15 meter.
Step-by-step explanation:
As the railroad on expansion will form a right isosceles triangle.
The railroad is 3 km=3000 m before expansion.
It expanded by 15 cm.
This means that in meters it expanded by 0.15 m
Hence, the railroad after expansion it is: 3000.15 m
Now we need to calculate the hypotenuse of the right triangle in order to find the center of the rail rise above the ground.
and hence it is calculated as:
which in meters is approximately given by:
15 meters.
3km =m 3 x 1000m = 3 x 10 ^3m
expansion = 3x 10^3m + 15 x 10 cm
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Mrs. Morales wrote a test with 15 questions covering spelling and vocabulary. Spelling questions (x) are worth 5 point and vocabulary questions (y) are worth 10 points. The maximum number of points possible on the test is 100.Write an equation in slope-intercept form to represent the number of questions on the test.Write an equation in slope-intercept form to represent the total number of points on the test.Graph the solution for both equations.Use your graph to tell how many of each question type are on the test.
How do you write 100 as a power of ten
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That's the simplest form of 15/35. You can use 3/7 to get other equivalent fractions by multiplying the numerator and denominator by the same number. Other examples are 9/21, 6/14, and 12/28.
Hope this helps!
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I hope I helped! :-)
B. 10
C. 0.1
D. 1
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=> 5 x 10^5
Colorado’s population is equals to
=> 5 000 000
Now, we need to find the answer which population is greater. First, let’ssolve the Wyoming’s population:
=> 5 x 10^5
=> 5 x (10 x 10 x 10 x 10 x 10)
=> 5 x 100 000
=> 500 000
=> Colorado vs Wyoming = 5 000 000 vs 500 000
Thus, Wyoming population is 0.1 times the population of Colorado.
=> 5 000 000 x 0.1 = 500 000
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36 square pieces of cake can be cut from the rectangular cake.
What is rectangle?
"A Rectangle is a four sided-polygon, having all the internal angles equal to 90 degrees. The two sides at each corner or vertex, meet at right angles."
What is square?
"A square is a shape that has four straight sides of the same length and four angles of 90 degrees"
It is given that the cake is a rectangle and squares are cut from it.
To find the area of the cake:
Area = 22.5 × 10
= 225
The area of each square piece cut from the cake:
Area = 2.5²
=6.25
To find the number of pieces cut, divide the area of the cake by the area of each piece.
To know more about square and rectangle here
#SPJ2
so divide the area of the cake by the area of each piece to find how many pieces can be cut.
225/6.25=36 36 pieces of cake can be cut from the cake
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Answer: in decimal form, 3/5=0.6 and 6/11=0.54. From this, we can tell that 3/5 is greater than 6/11. I believe this is what you mean by compare them, this is comparing their values.