Let the shorter diagonal be x, then
x^2 = 6^2 + 10^2 - 2 x 6 x 10 x cos 70 = 36 + 100 - 120 cos 70 = 136 - 41.04 = 94.96
x = sqrt(94.96) = 9.7 cm
The other angle of the parallelogram is 1/2(360 - 2(70)) = 1/2(360 - 140) = 1/2(220) = 110
Let the longer diagonal be y, then
y^2 = 6^2 + 10^2 - 2 x 6 x 10 x cos 110 = 36 + 100 - 120 cos 110 = 136 + 41.04 = 177.04
y = sqrt(177.04) = 13.3 cm.
Therefore, the length of the diagonals are 9.7 cm and 13.3 cm.
Answer:
2/7
Step-by-step explanation:
The quotient is ...
A common factor of -8 can be cancelled from numerator and denominator.
Answer:
B
Step-by-step explanation:
Plug in a x-value and see which table matches the result. Plug in 1.
f(x) = 7 - 4.5x
f(1) = 7 - 4.5(1)
f(1) = 7 - 4.5
f(1) = 2.5
The table that matches an input of 1 with an output of 2.5 is B.
Answer:
-5y-12
Step-by-step explanation:
Multiply 6 into 2y
7y-12y-12
-5y-12
