To start off, let's do the rectangle. So 3 times 6 is 18ft^2. One step done. Now we have to find the area of the triangle and add it to our other area to get the total area. The area of triangle is A=BH1/2. So since we used 3ft already, we have to subtract 15-3 which is 12. Since the length of the triangle does not extend all the way, we add 6 to 6, which is 12 ft. Now we can multiply 12 times 12, which is 144 ( according to A=BH times 1/2). Now we have to multiply 144 by 1/2, which is 144/2, which is 72ft^2. Now we can add the area of the rectangle by the area of the triangle to get the total area of the figure. So 72ft^2 * 18ft^2= 90ft^2. Therefore, the area of the entire figure is 90ft^2.
Answer: when you rotate the triangle 180 degrees the new points would be (-1,-2), (-1,-4), and (-3,-3).
Step-by-step explanation:
You simply flip the graph 180 degrees. Not that hard.
Answer:
They both are 90 degree angles, but 45-45-90 triangles are isosceles and use the square root of 2. 30-60-90 triangles use the square root of 3 and the hypotenuse is double of the remaining side.
Answer:
Step-by-step explanation:
We have been given that at a zoo, the lion pen has a ring-shaped sidewalk around it. The outer edge of the sidewalk is a circle with a radius of 11 m. The inner edge of the sidewalk is a circle with a radius of 9 m.
To find the area of the side walk we will subtract the area of inner edge of the side walk of lion pen from the area of the outer edge of the lion pen.
, where r represents radius of the circle.
Therefore, the exact area of the side walk is
To find the approximate area of side walk let us substitute pi equals 3.14.
Therefore, the approximate area of the side walk is .
Answer:
This transformation is known as a vertical stretch. This is the graph of a transformation of \begin{align*}y=x^2\end{align*}. The points are plotted from the vertex as right and left one and down one-half, right and left 2 and down two, right and left three and down four and one-half.
Step-by-step explanation: