Answer:
Step-by-step explanation:
<u><em>The correct answer here is d</em></u>
d = 3a + 3b
d - 3a = 3b
d - 3a/3 = b
Answer: ![4\frac{5}{12}\ feet](https://tex.z-dn.net/?f=4%5Cfrac%7B5%7D%7B12%7D%5C%20feet)
Step-by-step explanation:
The height of Leon's older brother =
feet
feet
Since, Leon is 1/3 foot shorter than his brother.
Then, the height of Leon = ![\frac{19}{4}-\frac{1}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B19%7D%7B4%7D-%5Cfrac%7B1%7D%7B3%7D)
First we need to make them like fractions by multiplying 3 on the numerator and denominator of the first fraction and 4 on the numerator and denominator of the second fraction.
Then, the height of Leon = ![\frac{57}{12}-\frac{4}{12}](https://tex.z-dn.net/?f=%5Cfrac%7B57%7D%7B12%7D-%5Cfrac%7B4%7D%7B12%7D)
feet
Hence, The height of Leon =![4\frac{5}{12}\ feet](https://tex.z-dn.net/?f=4%5Cfrac%7B5%7D%7B12%7D%5C%20feet)
71.5%
To solve, the easiest method I've found is to set up 2 fractions and cross multiply. so, x/100 = 105.1/147
Answer:
Volume, ![V=96.79\ \text{feet}^3](https://tex.z-dn.net/?f=V%3D96.79%5C%20%5Ctext%7Bfeet%7D%5E3)
Step-by-step explanation:
An artist creates a cone shaped sculpture for an art exhibit.
Height of sculpture is 8 feets
The circumference of base of the cone is 21.352 feet.
The base of a con is circular shaped. So,
![2\pi r= 21.352](https://tex.z-dn.net/?f=2%5Cpi%20r%3D%2021.352)
r is radius of cone
![r= \dfrac{21.352}{2\times 3.14} \\\\r=3.4\ ft](https://tex.z-dn.net/?f=r%3D%20%5Cdfrac%7B21.352%7D%7B2%5Ctimes%203.14%7D%20%5C%5C%5C%5Cr%3D3.4%5C%20ft)
The volume of cone shaped sculpture is given by :
![V=\dfrac{1}{3}\pi r^2 h\\\\V=\dfrac{1}{3}\times 3.14\times (3.4)^2 \times 8\\\\V=96.79\ \text{feet}^3](https://tex.z-dn.net/?f=V%3D%5Cdfrac%7B1%7D%7B3%7D%5Cpi%20r%5E2%20h%5C%5C%5C%5CV%3D%5Cdfrac%7B1%7D%7B3%7D%5Ctimes%203.14%5Ctimes%20%283.4%29%5E2%20%5Ctimes%208%5C%5C%5C%5CV%3D96.79%5C%20%5Ctext%7Bfeet%7D%5E3)
So, the volume of the sculpture is
.