4a^2+2a+4a^2-5 Simplify the expression
2 answers:
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Answer:
Step-by-step explanation:
The area of a pie-slice shape can be found with the equation where n is the angle of the shape and r is the radius of the circle. In this case, n=60 and r=6. Therefore, the total area of the pie-slice is
Next, the triangle that makes up the unshaded part of the segment is an equilateral triangle because the angle is 60. The area of an equilateral triangle is where r is the length of one of its side (in this case, r=6). Plugging that in, we get an area of
Finally, the area of the shaded is the area of the pie-slice minus the area of the triangle:
There are 25 $10 bills and 11 $20 bills.
Step-by-step explanation:
Given,
Worth of proceeds from garage = $470
Let,
x be the number of $10 bills
y be the number of $20 bills.
According to given situation;
10x+20y=470 Eqn 1
x = y+14 Eqn 2
Putting value of x from Eqn 2 in Eqn 1
Dividing both sides by 30
Putting y=11 in Eqn 2
There are 25 $10 bills and 11 $20 bills.
Keywords: linear equation, substitution method
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