The cost of the utility pole is $707. 32
<h3>
How to determine the volume</h3>
From the information given, we have the following deductions:
- Density = 7.6 g/cm³
- Mass = Ikg = 1000g
- Cost per mass = $0. 51
Let's determine the volume of this cylinder:
Volume = mass / density
Substitute the values
Volume = ![\frac{1000}{7. 6}](https://tex.z-dn.net/?f=%5Cfrac%7B1000%7D%7B7.%206%7D)
Volume = 131. 58 cm³
Thus, 131. 58 cm³ costs $0. 51
For the utility pole;
Volume = 2 πr²h
Where:
- r is 8. 8cm
- height is 750cm
Volume = 3. 142 × 8. 8 × 8. 8 × 750
Volume = 182, 487. 36 cm³
If 131. 58 cm³ costs $0. 51
Then 182, 487. 36 cm³ will cost:
= 182, 487. 36 × 0. 51/ 131. 58
= 93068. 55/ 131. 58
= $707. 32
Thus, the cost of a utility pole is $707. 32
Learn more about volume here:
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Answer:
A. $4006
Step-by-step explanation:
The total tax due is the sum of the amounts due in each applicable bracket.
$970 +3,036 = $4,006
_____
<em>Additional comment</em>
There are easier ways to compute the tax, but this is the way shown on many tax forms.
x=16
Explanation
the ratio is 2:3
it means for every 2 cars, there are 3 trucks
Now, it the total of trucks is 24,the proportion must be the same, so
Step 1
Let
x represents the number of cars for 24 trucks
![\frac{\text{2 cars}}{3\text{ trucks}}=\frac{x}{24\text{ trucks}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7B2%20cars%7D%7D%7B3%5Ctext%7B%20trucks%7D%7D%3D%5Cfrac%7Bx%7D%7B24%5Ctext%7B%20trucks%7D%7D)
Step 2
solve for x
![\begin{gathered} \frac{\text{2 cars}}{3\text{ trucks}}=\frac{x}{24\text{ trucks}} \\ 2\cdot24=3\cdot x \\ x=\frac{2\cdot24}{3} \\ x=\frac{48}{3} \\ x=16 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Cfrac%7B%5Ctext%7B2%20cars%7D%7D%7B3%5Ctext%7B%20trucks%7D%7D%3D%5Cfrac%7Bx%7D%7B24%5Ctext%7B%20trucks%7D%7D%20%5C%5C%202%5Ccdot24%3D3%5Ccdot%20x%20%5C%5C%20x%3D%5Cfrac%7B2%5Ccdot24%7D%7B3%7D%20%5C%5C%20x%3D%5Cfrac%7B48%7D%7B3%7D%20%5C%5C%20x%3D16%20%5Cend%7Bgathered%7D)
Hence, the answer is 16
Answer:
The recoil velocity of the gun is
and is pointing in opposite direction to the velocity of the bullet.
Step-by-step explanation:
Use conservation of linear momentum, which states that the momentum of the bullet (product of the bullet's mass times its speed) should equal in absolute value the momentum of the recoiling gun (its mass times its recoil velocity).
We also write the mass of the bullet in the same units as the mass of the gun (for example kilograms). Mass of the bullet = 0.010 kg
In mathematical terms, we have:
![5\, kg * v= 0.01 \,kg\,* 360\,\frac{km}{h} \\v=\frac{0.01\,*360}{5} \,\,\frac{km}{h}\\v=0.72\,\,\frac{km}{h}](https://tex.z-dn.net/?f=5%5C%2C%20kg%20%2A%20v%3D%200.01%20%5C%2Ckg%5C%2C%2A%20360%5C%2C%5Cfrac%7Bkm%7D%7Bh%7D%20%5C%5Cv%3D%5Cfrac%7B0.01%5C%2C%2A360%7D%7B5%7D%20%5C%2C%5C%2C%5Cfrac%7Bkm%7D%7Bh%7D%5C%5Cv%3D0.72%5C%2C%5C%2C%5Cfrac%7Bkm%7D%7Bh%7D)
Answer:
14(120)t
Step-by-step explanation:
hopes this helps