The density of a substance is the ratio of its mass and its volume. The mass of the rod is 10,666.67 grams or 10.67 kgs.
<h3>What is the density of a substance?</h3>
The density of a substance is the ratio of its mass and its volume. Therefore we can write,

mass of substance = m kg
density of substance = d kg/m³
volume of that substance = v m³
The length of the rod is 4 meters, therefore, the length of the rod in centimeters will be 400 centimeters. Thus, The mass in terms of density can be written as,

![= [2\cdot \dfrac{2x^{\frac32}}{3}]_0^{400}\\\\= [\dfrac{4x^{\frac32}}{3}]_0^{400}\\\\=[\dfrac{4(400)^{\frac32}}{3}]-[\dfrac{4(0)^{\frac32}}{3}]\\\\= 10,666.\bar6\rm\ grams](https://tex.z-dn.net/?f=%3D%20%5B2%5Ccdot%20%5Cdfrac%7B2x%5E%7B%5Cfrac32%7D%7D%7B3%7D%5D_0%5E%7B400%7D%5C%5C%5C%5C%3D%20%5B%5Cdfrac%7B4x%5E%7B%5Cfrac32%7D%7D%7B3%7D%5D_0%5E%7B400%7D%5C%5C%5C%5C%3D%5B%5Cdfrac%7B4%28400%29%5E%7B%5Cfrac32%7D%7D%7B3%7D%5D-%5B%5Cdfrac%7B4%280%29%5E%7B%5Cfrac32%7D%7D%7B3%7D%5D%5C%5C%5C%5C%3D%2010%2C666.%5Cbar6%5Crm%5C%20grams)
Hence, the mass of the rod is 10,666.67 grams or 10.67 kgs.
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The length of the side BC is 6√3 inches
Step-by-step explanation:
Let us revise the sine rule
In Δ XYZ
- The side XY is opposite to angle Z
- The side YZ is opposite to angle X
- The side XZ is opposite to angle Y
- The sine rule is
In Δ ABC
∵ m∠A = 60°
∵ m∠C = 30°
∵ AB = 6 inches
- By using the sine rule
∵ AB is opposite to ∠C
∵ BC is opposite to ∠A
∵
∴
- By using cross multiplication
∴ BC × sin(30) = 6 × sin(60)
∵ sin(30) =
and sin(60) =
∴
BC = 6(
)
∴
BC = 
- Multiply both sides by 2
∴ BC = 6√3
The length of the side BC is 6√3 inches
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<em>So</em><em> </em><em>the</em><em> </em><em>right</em><em> </em><em>ans</em><em> </em><em>is</em><em> </em><em>3</em><em>%</em><em>.</em>
<em>Look</em><em> </em><em>at</em><em> </em><em>the</em><em> </em><em>attached</em><em> </em><em>picture</em><em>⤴</em>
<em>Hope</em><em> </em><em>it</em><em> </em><em>will</em><em> </em><em>help</em><em> </em><em>u</em><em>.</em><em>.</em><em>.</em>
Answer:
59
Step-by-step explanation:
1) so you start with the mean being 72x5=360
2)100+42+87+66=295
3) 360-295=65
(you get the 5 from the amount of numbers there are) P.S sorry if I'm wrong or this doesn't help
The formula for the area of a circle is
A=πr²
plug in the data we know
A=π4²
A=16π
Since we only we need to find the area of the shaded section, we need to twerk this equation a bit. (remember that the shaded section is 84/360 of the original circle.)
A=84/360*16π
A=11.728
A=11.73 units²
answer: <span>A=11.73 units²</span>