Total number of pastries = 54 + 31 + 10 = 95
Number of croissants = 10
Probability of picking a croissant = 10/95
On simplifying, we get, <u>2/19</u>
Answer: 2.94 ft²
Step-by-step explanation:
Observe the figure attached:
The line LM divide the triangle into two right triangles.
Find the heigh "h" as following:
![sin\alpha=\frac{opposite}{hypotenuse}\\\\sin(40\°)=\frac{h}{2.7}\\\\h=(2.7)(sin(40\°))\\h=1.73ft](https://tex.z-dn.net/?f=sin%5Calpha%3D%5Cfrac%7Bopposite%7D%7Bhypotenuse%7D%5C%5C%5C%5Csin%2840%5C%C2%B0%29%3D%5Cfrac%7Bh%7D%7B2.7%7D%5C%5C%5C%5Ch%3D%282.7%29%28sin%2840%5C%C2%B0%29%29%5C%5Ch%3D1.73ft)
Apply the formula for calculte the area of a triangle:
![A=\frac{Bh}{2}](https://tex.z-dn.net/?f=A%3D%5Cfrac%7BBh%7D%7B2%7D)
Where B (B=3.4 ft) is the base and h is the height (h=1.73ft)
Then:
![A=\frac{(3.4ft)(1.73ft)}{2}=2.94ft^2](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B%283.4ft%29%281.73ft%29%7D%7B2%7D%3D2.94ft%5E2)
Answer:
5/7
Step-by-step explanation: