Answer:
7.867854 and to the nearest hundereth would be 7.87 i believe. If im wrong im sorry
Step-by-step explanation:
The answer is 127/24 or 5.2916
The set builder notation is {-8,-3,4,7} and the number line would begin at -8 and continue to positive 7. It would show a closed dot on top of -8 with a line that continues to a closed dot above 7.
The union of the 2 sets means that the final notation includes all elements.
-6(12)= -36
(13)(-3)= -39
(-5)(16)= -80
Answer:
437mm²
Step-by-step explanation:
First we need to find the total area of the rectangle. The area of a rectangle can be found by using the formula:
A = L x W
L = 15mm
W = 38mm
So now we plug it into our formula.
A = 15mm x 38mm
A = 570mm²
Now that we have the total area, we now need to solve for the area of the triangle.
The area of a triangle can be found by using the formula:
![A=\dfrac{1}{2}bh](https://tex.z-dn.net/?f=A%3D%5Cdfrac%7B1%7D%7B2%7Dbh)
To find the height of the triangle we take the total height and subtract it to the measurement given in the figure.
h = 15mm - 8mm
h = 7mm
b = 38mm
Now that we have both the base and height we can use the formula for the triangle.
![A=\dfrac{1}{2}38*7](https://tex.z-dn.net/?f=A%3D%5Cdfrac%7B1%7D%7B2%7D38%2A7)
![A=\dfrac{1}{2}266](https://tex.z-dn.net/?f=A%3D%5Cdfrac%7B1%7D%7B2%7D266)
![A=0.5*266](https://tex.z-dn.net/?f=A%3D0.5%2A266)
![A=133mm²](https://tex.z-dn.net/?f=A%3D133mm%C2%B2)
Now that we have the area of both the triangle and the rectangle, we simply subtract the area of the triangle to the area of the rectangle.
Shaded Area = 570mm² - 133mm²
Shaded Area = 437mm²
The area of the shaded area is equal to 437mm².