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Find the perimeter of the figure, where AED is a semi-circle and ABCD is a rectangle. (Ans : 76cm)
Ans: Perimeter of the fig = 20 + 14 + 20 + length of the arc (AED)
Length of Arc = ( Π x r) = 22/7 x7 = 22cm
∴Perimeter of the figure = 76 cm
trigonometric ratios of sum and difference of two angles
A police academy is training 14 new recruits. Some are working dogs and others are police officers. There are 38 legs in all. How many of each type of recruits are there?
Multiply and divide by root2, then root2/root2(sinx+cosx) = root2(sinx/root2 + cosx/root2) = root2(sinx cos45+cosx sin45) = root2(sin(x+45))
How do you calculate for the distance between two co-ordinates?
alternate segment theorum
reflection paper in solid mensuration
Q. Converting Mixed Numbers to Improper Fractions? Ans. Converting a mixed number to an improper fraction is easy. A single multiplication, and then a single addition:
If A, B are acute angles and sinA= cosB, then find the value of A+B. Ans: A + B = 90 o
for what value of k,the following system of equations have infinite solutions?kx + 5y -(k-5)=0;20x +ky - k=0
a. Cassie has seven skirts, five blouses, and ten pairs of shoes. How many possible outfits can she wear? b. Cassie decides that four of her skirts should not be worn to school.
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