Answer:
Area = 40mm
Example:
The below-solved example problem may be useful to understand how the values are being used in the mathematical formulas to find the trapezoid area.
Example Problem :
Find the area of a trapezoid having the bottom length a = 15 cm, top length b = 12 & height h = 9 cm?
Solution :
The given values
bottom length a = 15 cm
top length b = 12 cm
height h = 10 cm
Step by step calculation
formula to find area = ((a + b)/2) h
substitute the values
= ((15 + 12)/2) x 9
= 121.5 cm2
Answer: The required probability is ![\dfrac{4}{9}](https://tex.z-dn.net/?f=%5Cdfrac%7B4%7D%7B9%7D)
Step-by-step explanation:
Since we have given that
Number of kids = 10
Number of kids in Team A = 5
Number of kids in Team B = 5
There are three kids in the group, Alex and his two best friends Jose and Carl.
So, number of favourable outcome is given by
![2(\dfrac{8!}{3!\times 5!})](https://tex.z-dn.net/?f=2%28%5Cdfrac%7B8%21%7D%7B3%21%5Ctimes%205%21%7D%29)
Total number of outcomes is given by
![\dfrac{10!}{5!\times 5!}](https://tex.z-dn.net/?f=%5Cdfrac%7B10%21%7D%7B5%21%5Ctimes%205%21%7D)
So, the probability that Alex ends up on the same team with at least one of his two best friends is given by
![\dfrac{2(\dfrac{8!}{5!\times 3!)}}{\dfrac{10!}{5!\times 5!}}\\\\=2\times \dfrac{8!}{3!}\times \dfrac{5!}{10!}\\\\=\dfrac{4}{9}](https://tex.z-dn.net/?f=%5Cdfrac%7B2%28%5Cdfrac%7B8%21%7D%7B5%21%5Ctimes%203%21%29%7D%7D%7B%5Cdfrac%7B10%21%7D%7B5%21%5Ctimes%205%21%7D%7D%5C%5C%5C%5C%3D2%5Ctimes%20%5Cdfrac%7B8%21%7D%7B3%21%7D%5Ctimes%20%5Cdfrac%7B5%21%7D%7B10%21%7D%5C%5C%5C%5C%3D%5Cdfrac%7B4%7D%7B9%7D)
Hence, the required probability is ![\dfrac{4}{9}](https://tex.z-dn.net/?f=%5Cdfrac%7B4%7D%7B9%7D)
Answer:
Height of slide = 5 feet (Approx.)
Step-by-step explanation:
Given:
Length of slide = 12 feet
Angle of depression = 25°
Find:
Height of slide
Computation:
Length of slide = Hypotenuse
Height of slide = Perpendicular
Using trigonometry function;
Sin θ = Perpendicular / Hypotenuse
Sin 25 = Height of slide / 12
0.422 = Height of slide / 12
Height of slide = 12 x 0.422
Height of slide = 5.064
Height of slide = 5 feet (Approx.)
Picture cards are Jacks, queens and Kings. There are 4 of each for a total of 12 picture cards.
52-12 = 40 non picture cards.
Probability of being dealt a non picture card would be 40/52
The probability of not being dealt a non picture card would be 1 - 40/52 = 12/52 = 3/13
Answer: 3/13