Question

pls. . . help me. .
The sides of a parallelogram are 55 cm and 71 cm. Find the length of each diagonal if the longer angle measures 106 degrees.
2.a sample of 3000 observations has a mean of 82 and a standard deviation of 16. Using the empirical rule, find the percentage of the observations fall in the intervals x=+-25.
3.using the above data, how many samples do not belong to +-25?

Answer 1

@kris10 Do you know sin formula for triangles?

Answer 2

I mean sine
oops

Answer 3

opposite/hypotenuse

Answer 4

so you can use the cosine rule with a = 55, b = 71 and C = 106

so let c be the longer diagonal

\[c^2 = 55^2 + 71^2 - 2 \times 55 \times 71 \times \cos(106)\]

solve for c

let the shorter diagonal be d

the the angle will be 74

so

the method is identical

\[d^2 = a^2 + b^2 - 2ab \cos(D)\]

Answer 5

oops I forgot the diagram



wich gives 2 triangles

Answer 6

im confused