let's firstly convert the mixed fraction to improper fraction, and then divide.
![\bf \stackrel{mixed}{11\frac{1}{2}}\implies \cfrac{11\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{23}{2}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{23}{2}\div \cfrac{3}{4}\implies \cfrac{23}{2}\cdot \cfrac{4}{3}\implies \cfrac{23}{3}\cdot \cfrac{4}{2}\implies \cfrac{23}{3}\cdot 2\implies \cfrac{46}{3}\implies 15\frac{1}{3}](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7Bmixed%7D%7B11%5Cfrac%7B1%7D%7B2%7D%7D%5Cimplies%20%5Ccfrac%7B11%5Ccdot%202%2B1%7D%7B2%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B23%7D%7B2%7D%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Ccfrac%7B23%7D%7B2%7D%5Cdiv%20%5Ccfrac%7B3%7D%7B4%7D%5Cimplies%20%5Ccfrac%7B23%7D%7B2%7D%5Ccdot%20%5Ccfrac%7B4%7D%7B3%7D%5Cimplies%20%5Ccfrac%7B23%7D%7B3%7D%5Ccdot%20%5Ccfrac%7B4%7D%7B2%7D%5Cimplies%20%5Ccfrac%7B23%7D%7B3%7D%5Ccdot%202%5Cimplies%20%5Ccfrac%7B46%7D%7B3%7D%5Cimplies%2015%5Cfrac%7B1%7D%7B3%7D)
Answer:
Tank A is filling faster
Step-by-step explanation:
On the graph, You can see that the line of tank A is rising far faster than tank B.
Answer:
Step-by-step explanation:
The new bike costs 180 dollars
Parents paid 40%
what is a percentage? per cent= divide by 100
parents paid 180 *40/100=180*0.4=72 dollars
Jennifer has to pay the rest
180-72=108
1. You have that:
- The homeowner<span> want the length of the swimming pool to be 4 feet longer than its width.</span>
- He wants to surround it with a concrete walkway 3 feet wide.
- He can only afford 300 square feet of concrete for the walkway.
2. Therefore, the tota area is:
At=L2xW2
L2 is the lenght of the walkway (L2=L1+3+3⇒L2=(W1+4+6)⇒L2=W1+10).
W2 is the width of the walkway (W1+3+3⇒W2=W1+6)
3. The area of the walkway is:
A2=At-A1
A2=300 ft²
4. Therefore, you have that the width of the swimming pool is:
A2=(W1+10)(W1+6)-(W1+4)(W1)
300=(W1²+6W1+10W1+60)-(W1²+4W1)
W1²+16W1+60-W1²-4W1-300=0
12W1-240=0
W1=240/12
W1=20 ft
5. And the length is:
L1=W1+4
L1=20+4
L1=24 ft
Area of sector is 17.584 meters
<em><u>Solution:</u></em>
Given that we have to find the approximate area of a sector given O= 56 degrees with a diameter of 12m
Diameter = 12 m
Radius = Diameter / 2 = 6 m
An angle of 56 degrees is the fraction 
of the whole rotation
A sector of a circle with a sector angle of 56 degrees is therefore also the fraction of the circle
The area of the sector will therefore also be of the area
Thus area of sector is 17.584 meters
