Answer: 128.86cm²
Step-by-step explanation:
The circle is inscribed in the rectangle. To find the shaded portion, subtract he area of the circle from the are of the rectangle.
Area of the rectangle = 11 x 12
= 132cm²
Area of the circle with radius of 1cm = πr²
= 3.142 x 1²
= 3.142cm²
Therefore , area of the shaded region = 132cm² - 3.142cm²
= 128.86cm²
I^3 = i^(2+1) = i^2 x i -1 x i = -i
Answer:
It is a little hard to see where your steps are for the equation, but x = 4, and I will explain:
Step-by-step explanation:
We know y = -1.5x +4, so we plug that into the equation
6x - 5(-1.5 + 4) = 34
6x +7.5x - 20 = 34 Here we distributed the -5 into the parenthesis.
13.5x -20 = 34
13.5 = 54
x = 4
Hope this helps!
Answer:
a i think
Step-by-step explanation:
Answer:
-7, -6, -5, -4, -3
Step-by-step explanation:
Given:
2x + 5 < 0
x > -8
Thus, we can combine both statements to find out integers that satisfy both inequalities.
2x + 5 < 0
Let's find x
2x < 0 - 5 (substraction property)
2x < -5
Divide both sides by 2
x < -5/2
This implies that -5/2 is greater than the set of values of x.
The second inequality, x > -8 implies that -8 is less than the value of x.
Les combine both:
-8 < x < -5/2
Therefore, the possible set of integers are whole numbers between the range of -8 and -5/2 which excludes -8 and -5/2.
Thus, they are:
-7, -6, -5, -4, -3