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Pachacha [2.7K]
2 years ago
7

The Research Triangle in North Carolina is formed by Raleigh, Durham, and Chapel Hill. Is this triangle a right triangle? Explai

n.

Mathematics
1 answer:
ryzh [129]2 years ago
7 0

The triangle is not a right triangle. This is because the sum of the square of the two shorter lengths is not equal to the square of the longest length.

<h3>Is the triangle a right triangle?</h3>

In order to determine if the triangle is a right triangle, Pythagoras theorem would be used.

The Pythagoras theorem: a² + b² = c²

where a = length

b = base

c = hypotenuse

12 ² + 24²

= 144 + 576 = 720

29² = 841

To learn more about Pythagoras theorem, please check: brainly.com/question/14580675

#SPJ1

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A solid metal cube of side 1-2 cm has a mass of 15 grams.
sashaice [31]

Answer:

The mass of the second cube is about 1085.07 grams.

Step-by-step explanation:

I assume '1-2 cm' means 1.2cm here. Correct me if I am wrong and I'll edit my answer.

First, find the density of this cube:

d=\frac{m}{v}

where d is density, m is mass, and v is volume.

We have one of those, but we also need volume. The volume of a cube is just:

v=a^3

where a is the length of a side.

\rightarrow v=1.2^3\\\rightarrow v=1.728

The volume of this cube is 1.728cm³. Now, you can find the density;

\rightarrow d=\frac{15}{1.728}\\\rightarrow d\approx8.6806

The density of this material is about 8.68 grams per cubic centimeter.

Finally, you can use that density to find the mass of the other cube. Fin the volume of the second cube:

\rightarrow v=5^3\\\rightarrow v=125

The volume is 125cm³. Given the density and the volume, you can calculate the mass:

\rightarrow d=\frac{m}{v}\\\rightarrow 8.6806=\frac{m}{125}\\\rightarrow 8.6806\times125=m\\\rightarrow m=1085.0694

The mass of the second cube is about 1085.07 grams.

4 0
3 years ago
What is the domain and the range of the relation represented by the ordered pairs? {(6,6),(−1,3),(3,6),(0,4)}{(6,6),(−1,3),(3,6)
Inessa [10]
Hello,

Let's review: The domain is all the possible x values of a relation/function. To get the domain, we look at the x values in the ordered pairs.

The domains are: {-1, 0, 3, 6} - as you can see these are the x values of each pair.

Let's review: The range is all the possible y values in a relation/function. To find the rang, we look at the y values of the pairs.

The ranges are: {3, 4, 6} - notice how there are two "6" in those pairs, and when writing the range, you don't need to repeat the number if it's already written.


I hope this helps! =)

May
4 0
3 years ago
Solve for x.<br><br> ​ 12(x−360)=120 ​<br><br> Enter your answer in the box.
kenny6666 [7]
12x-4320=120
12x=120+4320
12x=4440
x=370
6 0
3 years ago
Read 2 more answers
How do you convert 4x=y into a y=mx+b format
sergeinik [125]
The equation y=4x is already in y=mx+b format.
m=4
b=0
so you can write as:
y=4x+0
6 0
4 years ago
6 tractors take 7 days to collect
Lyrx [107]

Answer:

= 1.75

Step-by-step explanation:

7/6 divided by 6

= 7/36

7/36 = x/9

Cross multiply fractions:

36x = 63

Divide each side by 36:

x = 7/4 or 1.75

3 0
4 years ago
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