A circle with radius of 1 cm sits inside a 11 cm x 12 cm rectangle.
1 answer:
Answer:
128.86 square centimetres
Step-by-step explanation:
I will assume that the shaded region is the area in between the circle and the rectangle.
All we have to do is find the area of the circle and subtract it from the area of the rectangle.
Area of a circle is given as:
where r = radius
The radius of the circle is 1 cm, so, the area of the circle is therefore:
= 3.14 square centimetres
The area of a rectangle is given as:
A = L * B
The dimensions of the rectangle are 11 cm by 12 cm. The area of the rectangle is:
A = 11 * 12 = 132 square centimetres
The area of the shaded part is therefore:
A = 132 - 3.14 = 128.86 square centimetres
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Answer:
Step-by-step explanation:
In this problem, we have the following linear equations:
y=3x+5
y=ax+b
We know that a linear equation is an equation for a line. In a system of linear equations, two or more equations work together.
1. What values for a and b make the system inconsistent?
A system is inconsistent if and only if the lines are parallel in which case the system has no solution. This is illustrated in the first Figure bellow. Two lines are parallel if they share the same slope. So, the system is inconsistent for:
a=3
for any value of b
2. What values for a and b make the system consistent and dependent?
A system is consistent if and only if the lines are the same in which case the system has infinitely many solutions. This is illustrated in the second Figure bellow. So, the system is consistent and dependent for:
a=3 and b=5
