Answer: 8/35 is the exact answer as a fraction; approximately that is equal to 0.22857 (rounded to 5 decimal places)
Work Shown:
The volume of this prism is equal to the length times width times height. We multiply the three fractions out. To do this, multiply straight across. The numerators group up and multiply. The denominators form a separate group to multiply.
Multiply the numbers up top (numerators): 2*3*4 = 6*4 = 24
Multiply the numbers in the bottom (denominators): 3*5*7 = 15*7 = 105
We end up with 24/105. We can divide both numbers by 3 to reduce the fraction (note how 3 is a factor of each multiplication above)
24/3 = 8
105/3 = 35
So that's how I got 8/35
If you want to convert to decimal form, then 8/35 = 0.22857 approximately.
Answer: B
We all know that area= LxW
The width that is being shown is 8ft. The length is 20ft. Therefore, you multiply 8 x 20 which gives you 160ft squared. Hope this this helps :)
Sin²t +cos²t =1
<span> x=2+3 sin t
sin t=(x-2)/3
</span><span>y=1-1/2cos t
y-1= - (cos t)/2
cos t =-(y-1)/(1/2)
</span>(x-2)²/3² + (y-1)²/(1/2)² = 1
Ellipse
Answer:
try the first, fourth, and last one
Step-by-step explanation: when you read the question it say select all that apply to form the equation so all you have to do is select the numbers and the variables that are in the equation above.
To solve this problem you must apply the proccedure below:
1. You have that one canned juice drink is 20% orange juice and another is 5% orange juice.
2. You must make a system of equation, as below:
x+y=15 (i)
0.20x+0.05y=0.15x15 (ii)
3. Now, you must find the value of x (the liters of the first canned needed) and y (the liters of the other canned needed):
x+y=15 (i)
x=15-y
0.20x+0.05y=0.15x15 (ii)
0.20(15-y)+0.05y=2.25
y=5 liters
x+y=15 (i)
x=15-5
x=10 liters
4. Therefore, the asnwer is:
10 liters of the canned juice drink that is 20% orange juice and 5 liters of the other canned juice drink that is 5% orange juice.
