The volume of the diamond is 137.1 cm³. The correct option is the last option 137.1 cm³
<h3>Density, Mass and Volume </h3>
From the question, we are to calculate the volume of the diamond
Using the formula,
Density = Mass/ Volume
Then, we can write that
Volume = Mass/ Density
From the given information,
Mass of the large diamond = 481.3 grams (g)
Density of the diamond = 3.51 grams/ centimeters cubed (g/cm³)
Putting the parameters into the formula, we get
Volume = (481.8 g)/ (3.51 g/cm³)
Volume = 137.1225 cm³
Volume ≈ 137.1 cm³
Hence, the volume of the diamond is 137.1 cm³. The correct option is the last option 137.1 cm³
Learn more on Density, mass and volume here: brainly.com/question/1762479
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Answer:
4 sqrt(5)
-----------------
5
83 +12 sqrt(35)
Step-by-step explanation:
1. 4 sqrt(6)
--------------------
sqrt(30)
Multiply the top and bottom by sqrt(30) to rationalize the denominator
4 sqrt(6) *sqrt(30)
--------------------
sqrt(30)*sqrt(30)
4 sqrt(180)
--------------------
30
Simplify
2 sqrt(36 *5)
--------------------
15
We know that sqrt(ab) = sqrt(a) sqrt(b)
2 sqrt(36)sqrt(5)
--------------------------
15
2 *6*sqrt(5)
-------------------
15
Simplify
2 * 2 sqrt(5)
---------------------
5
4 sqrt(5)
-----------------
5
2. (2 sqrt(5) + 3 sqrt(7))^2
(2 sqrt(5) + 3 sqrt(7)) (2 sqrt(5) + 3 sqrt(7))
FOIL
first 2sqrt(5)*2sqrt(5)=4*5=20
outer 2 sqrt(5) * 3 sqrt(7) = 6 sqrt(35)
inner 3 sqrt(7) *2 sqrt(5) = 6 sqrt(35)
last 3sqrt(7) 3sqrt(7) = 9*7 = 63
Add them together = 20 + 6 sqrt(35)+ 6 sqrt(35) +63 = 83 +12 sqrt(35)
The sides of the angle are the lengths which it is formed
Answer:
decrease of 206 m
Step-by-step explanation:
Since 156 is less than 362 then it is a decrease and
362 - 156 = 206
Thus a decrease of 206 m
