Answer:
1) 27.374
2)9.177
Step-by-step explanation:
1) To get the value of x , we use the appropriate trigonometric ratio
From what we are given;
we have the hypotenuse ( the side facing the right angle) and the adjacent
The trigonometric identity to use here is the cos
The cos of an angle is the ratio of the adjacent to the hypotenuse
cos 64 = 12/x
x = 12/cos 64
x = 27.374
2) Here, we are given the hypotenuse and the opposite
The trigonometric ratio to use here is the sine
the sine of an angle is the ratio of the opposite to the hypotenuse
thus, we have it that;
sin 35 = x/16
x = 16 sin 35
x = 9.177
Answer:
500 lbs of mixed nuts
Step-by-step explanation:
15.4% of mixed nuts = 77 lbs of pecans
Divide the weight of pecans by the percent of mixed nuts to find how many pounds of pecans equal 1% of the mixed nuts:
77 / 15.4 = 5, so 5 lbs equals 1% of mixed nuts
Now multiply that number by 100 to get 100% of mixed nuts:
5 x 100 = 500
Therefore, there are 500 lbs of mixed nuts in a batch altogether.
To check, 15.4% = 15.4/100 = 0.514
Therefore, 15.4% of 500 = 0.514 x 500 = 77
Thereby proving that 15.4% of 500 is 77.
Y=2/3x+2/3 bc slope is 2/3 and 4-2/4-1=2/3
54-15=39
if you want to check your answer you add 39+15=54
