Answer:
w = -7/4
Step-by-step explanation:
-3w - 4 = w + 3
-3w - w = 3 + 4
-4w = 7
w = -7/4
Answer:
Area: 15.53 square inches
Perimeter: 15.71 inches
Step-by-step explanation:
Area:
So the area of the rectangle is pretty easy to find and is just the width * height. In this case it's 4 * 3 which is 12. Now the area of a circle is
. But since this is a semi circle it's half of that which is
. The diameter of the semicircle is 3 as it sits on top of the rectangle. The radius is half of the diameter so the radius is 1.5. Now plug that into the equation and you get
. Now add that to 12 and you get 15.5325. Round that number to the nearest hundredth and you get 15.53. So that's the area.
Perimeter:
Pi is the ratio of any circle's circumference to the diameter. Or in other words the circumference is equal to the diameter * 3.14. The diameter is 3 which you multiply by 3.14 to get the circumference of a circle. This will get you 9.42 but since it's a semicircle, the circumference is half of this value which is 4.71. The perimeter of the rectangle is just 2 times the width + 2 times the height. This is not completely the case in this shape since one of the sides of the rectangle is not a side of the two shapes joined together. Which is the side that is parallel to the side of length 3 inches. So the perimeter is going to be 2(4) + 3. This gives you 11 which you add to the 4.71 and get 15.71
the answer is a because the +2 is the why intercept.
Answer:
f(1/3) = 1
Step-by-step explanation:
Plug 1/3 in for n
f(1/3) = 3(1/3)
Now simplify
f(1/3) = 1 { 3(1/3) = (3/1)(1/3) = 3/3 = 1 }
Let x, y be numbers.
The addition identity property states that 0 + x = x.
The commutative property states that x + y = y + x