radius of ½ circle = d : 2
= 6in : 2 = 3in
Total area = Rectangle area + ½Circle area + Triangle area
= (l×w) + ½(π×r²) + (½×b×h)
= (10×6) + ½(π×3²) + (½ × (14-10) × 6)
= 60 + 14.14 + 12 = 86.14in
<h3 /><h3 /><h3>
Answer : 86.14in</h3>
<em>See</em><em> </em><em>the</em><em> </em><em>bold</em><em> </em><em>one</em><em> </em><em>in</em><em> </em><em>line</em><em> </em><em>2</em><em> </em><em>of</em><em> </em><em>total</em><em> </em><em>area</em><em>,</em><em> </em><em>thats the</em><em> </em><em>formula</em><em> </em><em>of</em><em> </em><em>all</em><em> </em><em>shape</em><em>.</em>
Since 57x17=969 I did 969-942 and got 27 so there is 16 full rows and then 27 left over so that means it won’t be a full row but 27 extra seats will be filled. (If your wondering where the 17 came from that’s how many rows can be made that’s over 942 because if I did 57x16 it would equal 912 and I would not have had a full row of chairs)
Answer: 37 kilograms of walnuts should be mixed.
Step-by-step explanation:
Let x represent the number of kilograms of peanuts needed to make the mixture.
Let y represent the number of kilograms of walnut needed to make the mixture.
The mixture to be made is 100 kg. It means that
x + y = 100
The worth of the mixture is $3.24 per kilogram. It means that the total worth of the mixture is
3.24 × 100 = $324
peanuts cost $2.50 per kilogram and walnuts cost $4.50 per kilogram. It means that
2.5x + 4.5y = 324- - - - - - - - - -1
Substituting x = 100 - y into equation 1, it becomes
2.5(100 - y) + 4.5y = 324
250 - 2.5y + 4.5y = 324
- 2.5y + 4.5y = 324 - 250
2y = 74
y = 74/2 = 37
x = 100 - y = 100 - 37
x = 63
Max occurs at x=50 where F'(x) = 0.
We need to find value for F(50) using fundamental theorem of calculus:
Where A is the estimated Area under the graph.
If we assume the shaded region is close to a right triangle then the Area is (1/2)*30*20 = 300
Therefore
Answer:
Use points (4,1) and (3,-1)
Step-by-step explanation:
Let's say the other coordinates are (x,y).
Then, we know (1-y)/(4-x)=2. So if y is -1, and x is 3, then we get:
[1-(-1)]/(4-3)=2/1=2
So draw the two points, (4,1) and (3,-1) on a coordinate plane, and use a ruler to make a line that goes through both the points.
