Answer:
The length of the fence is 6.28x-150 cm.
Step-by-step explanation:
Let the circular pool has the radius (r ) = x cm.
Since the pool is in a circular shape so the circumference will be the length of the fence. Moreover, there is a 150cm wide so we have to subtract the 150 cm from the value of circumference in order to get the actual length of the fence.
Length of fence = Circumference of the pool – width of the gate.
Length of fence = 2 π r – 150
Length of fence = 2 × 3.14 × x – 150
Length of fence = 6.28x – 150 cm.
We know that
1 liter------------> is equal to 1000 ml
if for one cake--------------> are required 80 milliliters of lemon juice
<span> for 11 cakes--------------> X
X=11*80---------> 880 ml
</span>if for one cake--------------> are required 240 milliliters of plain yogurt
for 11 cakes--------------> X
X=11*240---------> 2640 ml
<span>liters of lemon juice needed to make 11 cakes
880 ml/1000------> 0.88 lt
</span><span>liters of yogurt needed to make 11 cakes
2640 ml/1000--------> 2.64 lt
the answer is
are needed 0.88 lt </span>of lemon juice and 2.64 lt of yogurt to make 11 cakes<span>
</span>
Use compound interest formula F=P(1+i)^n twice, one for each deposit and sum the two results.
For the P=$40,000 deposit,
i=10%/2=5% (semi-annual)
number of periods (6 months), n = 6*2 = 12
Future value (at end of year 6),
F = P(1+i)^n = 40,000(1+0.05)^12 = $71834.253
For the P=20000, deposited at the START of the fourth year, which is the same as the end of the third year.
i=5% (semi-annual
n=2*(6-3), n = 6
Future value (at end of year 6)
F=P(1+i)^n = 20000(1+0.05)^6 = 26801.913
Total amount after 6 years
= 71834.253 + 26801.913
=98636.17 (to the nearest cent.)
No, the system is inconsistent.
Step-by-step explanation:
If the last column is a pivot column, then that row gives an equation that looks something like 0x+0y+0z=1 , meaning , 0=1. Clearly, this is false.
So, the system of linear equations is inconsistent.
Answer:
Step-by-step explanation:
Let suppose that one of the radii meets the circle at the point (1,0). The straight line distance formula is:
