You are given a rectangle that is placed around a semicircle. You are also given the width of the rectangle that is 8cm. You are asked to find the area of the shaded region. Let us assume that the semicircle is inscribed in the rectangle or inside the rectangle so that the diameter of the semicircle is the same as the side of the rectangle. Let us also assume that the shaded region are the ones not inside the semicircle.
Area of a circle = πD²/4
Area of a circle = π(8cm)²/4
Area of a circle = 16π cm²
Area of the rectangle = LW
Area of the rectangle = (8cm) ( 4cm)
Area of the rectangle = 32 cm²
Area of the shaded region = 16π cm² - 32 cm²Area of the shaded region = 18.265cm²
Answer:
Simplify 3(x+1)−5.
3x−2=3x−2
Move all terms containing x to the left side of the equation.
−2=−2 Since −2=−2 , the equation will always be true for any value of x
All real numbers
The result can be shown in multiple forms.
All real numbers
Interval Notation:
(−∞,∞)
Option2 : infinite solutions
Step-by-step explanation:
25% means 0.25 (It also means 1/4.)
50% means 0.5 (It also means 1/2.)
0.25 of 30.44 = 7.61
0.5 of 13.50 = 6.75
From 7.61, subtract 6.75.
OK. I did it. The question just says "do it". It doesn't ask us what the result is.
If anybody asks you, you can do the subtraction, or just tell them it's 0.86 .
(Is that 86 pence?)
First, let's re-arrange to slope-intercept form.
x + 8y = 27
Subtract 'x' to both sides:
8y = -x + 27
Divide 8 to both sides:
y = -1/8x + 3.375
So the slope of this line is -1/8, to find the slope that is perpendicular to this, we multiply it by -1 and flip it. -1/8 * -1 = 1/8, flipping it will give us 8/1 or 8.
So the slope of the perpendicular line will be 8.
Now we can plug this into point-slope form along with the point given.
y - y1 = m(x - x1)
y - 5 = 8(x + 5)
y - 5 = 8x + 40
y = 8x + 45
Answer:
Noelle has four times as many apples in her grocery bag as her friends
Dakota and Kylie combined. Dakota has 1 apple in her bag. Noelle has 16
apples in her bag. How many apples does Kylie have in her grocery bag?
The equation 4(x + 1) = 16 models this situation. Which choice shows the sequence of operations needed to solve this problem, using both arithmetic and algebra?