Answer:
28.26 
Step-by-step explanation:
The area of the quarter circle is the area of the circle / 4. Thus, the area is 
= 
= 28.26 square centimeters
Answer:
I agree with the student's answer. "x" cannot be -2 because then it would make -20 which is not equal to 20:
5(-2)(2) = ?
-10 x 2 = ?
? = -20
-20 ≠ 20
Step-by-step explanation:
Justificaiton:
5(x)(2) = 20
10(x) = 20
10/10(x) = 20/10
x = 2
Second Justification:
5(x)(2) = 20
5/5(x)(2) = 20/5
2x = 4
2x/2 = 4/2
x = 2
Answer: 2x + y < 7
Step-by-step explanation:
In the graph we can see that:
The line is a dashed line, and the shaded area is below the dashed line, then we will have something like:
y < a*x + b
We also can see that the slope of the line is negative, and that the y-intercept is +7
Then the inequality will be something like:
y < a*x + 7
Now we can see that the line passes through the points (0, 7) and (3, 1)
Then the slope will be:
a = (1 - 7)/(3 - 0) = -6/3 = -2
that is negative, as we already said.
Then we have:
y < -2*x + 7
we can rewrite this as:
2x + y < 7
This is the first solution shown.
Answer:
The total cost is <em>28.26.</em>
Step-by-step explanation:
The radius of the birdbath is <em>1.25 feet.</em>
The cost per foot is <em>3.6</em> .
<em>The formula for perimeter of circle is given by,</em>
<em>= 2πR , where R is the radius of circle.</em>
Inserting the above value of radius in the equation above,
circumference = 2(π)(1.25) = 2(3.14)(1.25) = 7.85 
Thus the total cost is,
= (7.85)(3.6) = 28.26
