Length of base of the top triangle = 23 inches
Length of height of the top triangle = 47 inches
Area of the top triangle :
![= \frac{1}{2} \: \times \: base \: \times \: height](https://tex.z-dn.net/?f=%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20%20%20%5C%3A%20%5Ctimes%20%5C%3A%20%20base%20%20%5C%3A%20%5Ctimes%20%5C%3A%20%20height)
![= \frac{1}{2} \times 23 \times 47](https://tex.z-dn.net/?f=%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20%20%5Ctimes%2023%20%5Ctimes%2047)
![= \frac{1}{2} \times 1081](https://tex.z-dn.net/?f=%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20%20%5Ctimes%201081)
![= \frac{1081}{2}](https://tex.z-dn.net/?f=%20%3D%20%20%5Cfrac%7B1081%7D%7B2%7D%20)
![= \color{hotpink} \: 540.5 \: \:sq. inches \:](https://tex.z-dn.net/?f=%20%3D%20%5Ccolor%7Bhotpink%7D%20%5C%3A%20540.5%20%5C%3A%20%5C%3Asq.%20%20inches%20%5C%3A)
Thus, area of the top triangle = 540.5 sq.inches
Length of base of the bottom triangle = 47 inches
Length of height of the bottom triangle = 46 inches
Area of the bottom triangle :
![= \frac{1}{2} \: \times \: base \: \times height](https://tex.z-dn.net/?f=%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20%20%20%5C%3A%20%5Ctimes%20%20%5C%3A%20base%20%5C%3A%20%20%5Ctimes%20height)
![= \frac{1}{2} \times 47 \times 46](https://tex.z-dn.net/?f=%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20%20%5Ctimes%2047%20%5Ctimes%2046)
![= \frac{1}{2} \times 2162](https://tex.z-dn.net/?f=%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20%20%5Ctimes%202162)
![= \color{hotpink}1081 \:sq. inches](https://tex.z-dn.net/?f=%20%3D%20%5Ccolor%7Bhotpink%7D1081%20%5C%3Asq.%20inches)
Area of the bottom triangle = 1081 sq.inches
Area of the total figure :
= Area of top triangle + Area of bottom triangle
![= 540.5 + 1081](https://tex.z-dn.net/?f=%3D%20540.5%20%2B%201081)
![= \color{hotpink}\bold{1621.5 \: \: sq.inches}](https://tex.z-dn.net/?f=%3D%20%5Ccolor%7Bhotpink%7D%5Cbold%7B1621.5%20%5C%3A%20%20%5C%3A%20%20sq.inches%7D)
Therefore, the area of the figure = 1621.5 sq.inches
Converting from degrees to radians is actually very simple, it is a one-step unit conversion.
135° * π/180°= (135/180) π radians = 3π/4 radians= 2.3561944... thus: 2.35 is your answer.
7 + 68 = 75
5 x 15 = 75
6 + 69 = 75
3 + 72 = 75
Answer:
A: (draw figure 3 and on the right end add two more tiles on the top and bottom stack of tiles)
B: Figure 10 will have 20 tiles because each figure is increasing by 2 tiles.
Step-by-step explanation:
The figures are increasing by 2 so we can multiply 2 by 10 to get the number of tiles on the 10th figure.