Answer:
x = 53.13
Step-by-step explanation:
sin theta = opposite side over hypotenuse
sin x = 4/5
Take the inverse sin of each side
sin ^-1 ( sin x)= sin ^-1 (4/5)
x = sin ^-1 (4/5)
x =53.13010235
To the nearest hundredth
x = 53.13
<span>18d – 2m + 9k < 5k + 10.
Choices:
m > –7k – 9d + 5
m < –7k – 9d + 5
m > 2k + 9d – 5
m < 2k + 9d – 5
-2m < 5k + 10 - 18d - 9k
-2m < 5k - 9k + 10 - 18d
-2m < -4k + 10 - 18d
Notice when the coefficient of the variable is a negative number, its inequality sign is reversed when it is divided by the negative number.
m > -4k/-2 + 10/-2 - 18d/-2
m > 2k - 5 + 9d
or
m > 2k + 9d - 5 ====> 3rd option.
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