Lynette has a metal doorstop with the dimensions shown. Each cubic centimeter of the metal in the doorstop has a mass of about 8.6 grams. Find the volume of the metal in the doorstop. Then find the mass of the doorstop.(Picture is provided)
Answers
Answer:
The answers are:
Volume: 75 cubic centimeters
Mass: 645 grams
Step-by-step explanation:
In order to determine both volume and mass of the doorstop, we have to know the formulas of a triangular prism.
I have attached an image that shows some formulas about triangular prism.
As we see in the image, a triangular prism consists basically in a triangular face and its projection.
So, using the variables and formula of the image:
B=10 cm
H=6 cm
L=2.5 cm
Then, we know the density of the metal that is:
δ=
So, the mass of the doorstop is:
m=δ*V
m=8.6 * 75
m=645 gr
Finally, the volume is 75 and the mass 645 gr
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Answers
Hope this helped.
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It took 1 day for the teds company to print the 10⁶ pages, as per the given conditions.
What are equation models?
The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
here,
Ted's company has received an order to print 10⁶ pages.
Ted's company has 100 machines,
Total pages can be printed by machines in one day,
= 100 ×10⁴
= 10⁶
Now,
Number of days to print 10⁶ pages,
= 10⁶ / 10⁶ = 1 day
Thus, it took 1 day for the teds company to print the 10⁶ pages, as per the given conditions.
Learn more about models here:
#SPJ6
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Plug in what we know:
Simplify exponent:
Multiply:
Answer:
339.1 ft³
Step-by-step explanation:
The formula for the volume of a cone is
V = 1/3πr²h
Since the diameter of the statue is 12, this makes the radius 12/2 = 6.
Using 6 for r, 3.14 for pi, and 9 for h, we have
V = 1/3(3.14)(6²)(9) = 339.12 ≈ 339.1 ft³
A.7/15
B.8/15
C.7/8
D.8/7
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14 boys
30-14=girls=16
boys to girls=14:16
treat it as a fraction
14/16
simplify
divide 2
7/8
that's simplest form
7/8 or C is the answer
Answer:
your answer would be c. 7/8
Step-by-step explanation:
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Answer:
B. {0, 5, 6, 7}.
Step-by-step explanation:
The range is the set of y-values.