How far did Natalie run in 40 minutes
1 answer:
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Answer:
B
Step-by-step explanation:
From the figure, we can say:
∠NFG + ∠EFN = ∠EFG
We substitute the given measure and write:
6x + 4 + 24 = 12x - 2
Now, we simply solve this algebraically for "x". Shown below:
x is 5, so B is the correct answer.
Answer:
The flute instructor can conclude that the length of the song does not have a direct variation or correlation with the number of incorrect notes.
Step-by-step explanation:
Direct variation and correlation means that as the "x" variable increases, the "y" variable will change according to it.
If the flute instructor took numerical data, for example, made a chart, and graphed it, then he would not find a trend.
It would probably look like this (see first photo). The plotted points are all over the place. ("x" is the song length, "y" is the number of incorrect notes).
If there was a correlation, then the data would look more like a straight line (see second photo).
Answer:
The volume of metal used in making 2.4 m long pipe is 1.58 cm³
Step-by-step explanation:
From the question,
The external radius is 11cm.
Also, the thickness of the pipe is 1cm, then we can determine the internal radius.
Internal radius = External radius - the thickness
Internal radius = 11cm - 1cm
Internal radius = 10cm
Now, to find the volume of metal used in making the long pipe,
The volume of metal used in making the long pipe is the difference between the volume of the external cylinder and the volume of the internal cylinder.
Volume of a cylinder is given by the formula below
Where is the volume of the cylinder
is constant ( Take
= 3.14)
is the radius
and is the height
Let the radius of the external cylinder be R,
then, R = 11 cm = 0.11 m
and let the radius of the internal cylinder be r
then, r = 10 cm = 0.10 m
Then,
The volume of metal used in making the long pipe =
=
=
=
=
= 0.0158 m³ or 1.58 cm³
Hence, the volume of metal used in making 2.4 m long pipe is 1.58 cm³