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.
You can find the solution for x by subtracting 5 from 12 which is -17. 5 added to 17 would be -12 so x = -17.
Answer:
(0,3) and (1,4)
Step-by-step explanation:
Given that:
y= 3x2−2x+3 ------------- eq1
y = x + 3 ------------------ eq2
Putting value from eq2 to eq1
x + 3 = 3x2−2x+3
3x2−2x+3 - x - 3 = 0
3x2−3x = 0
Taking 3 common
x2 - x = 0
x(x-1)= 0
So
x = 0 and x = 1
Now put value in eq2
y = 0 + 3 and y= 1 + 3
y = 3 and y = 4
So solution sets are:
(0,3) and (1,4)
i hope it will help you!
Answer:
πr² is the area of a circle
Since we are dealing with a volume problem (3 dimensions) when you increase the radius by a factor of 2, you increase the volume by a factor of 2^3 or 8
So, the larger sphere has a volume 8 times greater than the smaller sphere.