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Deffense [45]
3 years ago
13

A line segment always contains a line

Mathematics
1 answer:
serious [3.7K]3 years ago
5 0
In geometry, a line segment is a part of a line that is bounded by two distinct end points, and contains every point on the line between its endpoints
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The combined height of one fir tree and one pine tree is 212121 meters. The height of 444 fir trees stacked on top of each other
inn [45]

Answer: The height of each fir tree is 9 meters, and the height of each pine tree is 12 meters.

Step-by-step explanation:

Let x= height of each fir tree, y = height of each pine tree.

As per given, we have

x+y = 21          (i)

4x=y+24        (ii)

From (ii),

4x-y=24            (iii)

Add (i) and (iii), we get

5x=45\\\\\Rightarrow\ x=\dfrac{45}{5}\\\\\Rightarrow\ x=9

Put value of x in (i), we get

9+y=21\Rightarrow y=12

Hence, the height of each fir tree is 9 meters, and the height of each pine tree is 12 meters.

3 0
2 years ago
Read 2 more answers
A geometric sequence has u4= -70 and u7=8.75<br> Find the second term of the sequence.
Kobotan [32]

Answer:

-122.5

Step-by-step explanation:

Difference = 7 - 4 = 3 terms; 8.75 - (-70) = 78.75

1 term → 78.75/3 = 26.25

therefore, u2 = - 70 - 2(26.25) = -122.5

Topic: Patterns + Common difference

If you would like to venture further into mathematics, you can check out my Instagram page (learntionary) where I post notes and mathematics tips. Thanks!

5 0
2 years ago
What is the frequency of the graph of y = 1/3 sin(2x)?
vovangra [49]

Given:

The sine function is:

y=\dfrac{1}{3}\sin (2x)

To find:

The frequency of the graph of given function.

Solution:

If a sine function is defined as:

y=A\sin(Bx+C)+D

Then, the frequency of the sine function is:

f=\dfrac{B}{2\pi}

We have,

y=\dfrac{1}{3}\sin (2x)

Here, B=2. So, the frequency of the given function is:

f=\dfrac{2}{2\pi}

f=\dfrac{1}{\pi}

Therefore, the correct option is D.

3 0
2 years ago
You attend a karaoke night and hope to hear your favorite song. The karaoke song book has 900 different songs (your favorite son
Afina-wow [57]
20/900
I not sure though
7 0
2 years ago
The volume of the cube is 216 cubic units what is the side length
Naddik [55]

The side length is six units.

A cube has three measurements: length, width, and height

All the measurements have to be the same.

This allows you to cube root.

The cube root of 216 is 6.

The side length of the cube is 6 units.

Check:

6 * 6 * 6 = 216.

It is correct, so our answer is proven to be correct.

7 0
3 years ago
Read 2 more answers
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