D = 90
This is because any line is equal to 180 degrees, we see that d is situated on a line that continues into another angle, the other angle is 90 degrees, so we minus 90 from 180, to get 90.
E = 99
E is situated on a line with the other angle F, F = 81 (see below) so we minus 81 from 180
F = 81
F is situated on a line, we minus it from the other angle situated on the same line, so we minus 99 from 180to get 81
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The total amount charged for each work can be expressed by the equation : 100 + 5x
Fixed charged per work = 100.00
Charge per page printed = 5.00
<u>Let the number pages printed be represented as x :</u>
Total amount charged for n pages can be related thus :
Fixed charge per work + (cost per page × number of pages)
100 + 5x
Therefore, the total amount charged can be expressed with the equation 100 + 5x
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No, the answer is 3/8 because if 3/4 of the cars are Sudan's, and half of that three quarters are white, you need to divide three quarters into two to get the answer. I did this question by using the equivalent fraction 6/8 and dividing both numbers into two.
Answer=1.335 or 1 67/200
813 field goals
1422 attempts
1422-813=609 fails
813/609=1.335 successes per fail
1.335= 1 335/1000= 1 67/200
The rate at which the water from the container is being drained is 24 inches per second.
Given radius of right circular cone 4 inches .height being 5 inches, height of water is 2 inches and rate at which surface area is falling is 2 inches per second.
Looking at the image we can use similar triangle propert to derive the relationship:
r/R=h/H
where dh/dt=2.
Thus r/5=2/5
r=2 inches
Now from r/R=h/H
we have to write with initial values of cone and differentiate:
r/5=h/5
5r=5h
differentiating with respect to t
5 dr/dt=5 dh/dt
dh/dt is given as 2
5 dr/dt=5*-2
dr/dt=-2
Volume of cone is 1/3 π
We can find the rate at which the water is to be drained by using partial differentiation on the volume equation.
Thus
dv/dt=1/3 π(2rh*dr/dt)+(
*dh/dt)
Putting the values which are given and calculated we get
dv/dt=1/3π(2*2*2*2)+(4*2)
=1/3*3.14*(16+8)
=3.14*24/3.14
=24 inches per second
Hence the rate at which the water is drained from the container is 24 inches per second.
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