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torisob [31]
3 years ago
8

Please help, will mark brainliest!

Mathematics
1 answer:
Ugo [173]3 years ago
5 0

Answer:

-1/6 and 1 1/6

I included an image showing the points to select, in red and the point we start at, in blue.

Step-by-step explanation:

We need to get the numbers they tell us (2/3 & 1/2) to have the same denominators as the numbers on the number line before we can start.

1/2 is just the simplified form of 3/6 and 2/3 is just the simplified form of 4/6.

So 1/2 is actually 3/6 on the number line.

Now we need to find the numbers that are 2/3 (or 4/6) unit away from 3/6.

Count 4 units to the right and 4 to the left of 3/6 to get the numbers we are looking for.

These numbers are -1/6 and 1 1/6

I hope this helps!!

Lmk if u have any questions! :)

Pic is attached below.


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3 years ago
Draw an example of a composite figure that has a volume between 750 cubic inches and 900 cubic inches
grigory [225]

Volume:

V \approx 888.02in^3 \\ \\ And, \ 750in^3

<h2>Explanation:</h2>

A composite figure is formed by two or more basic figures or shapes. In this problem, we have a composite figure formed by a cylinder and a hemisphere as shown in the figure below, so the volume of this shape as a whole is the sum of the volume of the cylinder and the hemisphere:

V_{total}=V_{cylinder}+V_{hemisphere} \\ \\ \\ V_{total}=V \\ \\ V_{cylinder}=V_{c} \\ \\ V_{hemisphere}=V_{h}

So:

V_{c}=\pi r^2h \\ \\ r:radius \\ \\ h:height

From the figure the radius of the hemisphere is the same radius of the cylinder and equals:

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And the height of the cylinder is:

h=15in

So:

V_{c}=\pi r^2h \\ \\ V_{c}=\pi (4)^2(15) \\ \\ V_{c}=240\pi in^3

The volume of a hemisphere is half the volume of a sphere, hence:

V_{h}=\frac{1}{2}\left(\frac{4}{3} \pi r^3\right) \\ \\ V_{h}=\frac{1}{2}\left(\frac{4}{3} \pi (4)^3\right) \\ \\ V_{h}=\frac{128}{3}\pi in^3

Finally, the volume of the composite figure is:

V=240\pi+\frac{128}{3}\pi \\ \\ V=\frac{848}{3}\pi in^3 \\ \\ \\ V \approx 888.02in^3 \\ \\ And, \ 750in^3

<h2>Learn more:</h2>

Volume of cone: brainly.com/question/4383003

#LearnWithBrainly

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