Stephanie collected data about the high temperature in her city for 7 days in a row. The high temperatures for the 7 days were 7
0 degrees, 78 degrees, 85 degrees, 73 degrees, 65 degrees, and 89 degrees. She made the following graph to show her data.
She says the temperature in her city is pretty consistent. How could she redraw the graph so that the daily temperature doesn’t see quite so consistent?
She says the temperature in her city is pretty consistent. How could she redraw the graph so that the daily temperature doesn’t see quite so consistent?
2 answers:
We are given the high temperature in her city for 7 days in a row.
First day it is 70 degrees.
Second day it is 78 degrees.
Third day it is 85 degrees.
Fourth day it is 73 degrees.
Fifth day it is 65 degrees.
Sixth day it is 78 degrees.
Seventh day it is 89 degrees.
We can make a a histrogram to show that temperature doesn’t see quite so consistent.
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Answer:
693 sq. m.
Step-by-step explanation:
The figure consists of a triangular prism (Bottom Part) and a Triangular Pyramid (Top Part). We will find the volume of each and add it up to get volume of total figure.
1. Volume of Triangular Prism = Area of Triangular Base * Height
Area of Triangular Base = (1/2)*base*height
Given that the triangle is a right triangle, we find the unknown side by using Pythagorean Theorem, which tells us:
Leg^2 + Another Leg^2 = Hypotenuse^2
8.8^2 + Another Leg^2 = 13.7^2
77.44+ Another Leg^2 = 187.69
Another Leg (unknown side, or the base of the triangle) = Sqrt(187.69-77.44) = 10.5 (this is base of triangle)
So, we have:
Area of Triangular Base =
Thus,
Volume of Triangular Prism = 46.2 * 10(given) = 462 sq.m.
2. Volume of Triangular Pyramid = (1/3) * area of triangular base * height
Here, area of triangular pyramid is 46.2 (already found)
the height of the pyramid is 25 - 10 = 15
SO, we have:
Volume of Triangular Pyramid = sq. m.
Now we sum them up and get total volume of the figure:
Total Volume of Figure = 462+ 231 = 693 sq. m.