The coefficient of the third term in this expression is +2 from the term (+2x).
It is best to draw the situation given above to understand the problem better. You will see that there are two right triangles that can be made. One would have the angle 67 degrees and the other with angle 35 degrees. We calculation as follows:
From the triangles, we can set up two equations with two unknowns:
tan 67 = h/x
tan 35 = h/(20+x)
h = 19.93 ft
Total pounds sold:
we know that p pounds of almonds and n pounds of nuts were sold.
The total pounds were 102 pounds.
Therefore:
n + p = 102 ............> equation I
Therefore:
p = 102-n ..............> equation II
For almonds:
1 pound of almonds costs $1, therefore:
p pounds of almonds would cost 1*p = $p
For <span>macadamia:
</span>1 pound of <span>macadamia costs $5.93, therefore:
n pounds of </span><span>macadamia would cost 5.93*n = $5.93n
The total amount paid for both types was </span><span>$452.03, therefore:
$p + $5.93n = </span><span>$452.03 ............> equation III
Substitute with equation II in equation III:
102-n+5.93n = 452.03
4.93n = 350.03
n = 71 pounds
Substitute with the value of n in equation 1 to get p as follows:
n+p = 102
p = 102-n = 102-71 = 31 pounds
Total cost of almonds = $p = $31
Total cost of macadamia = $5.93n = 5.93(71) = $421.03
Therefore, based on the above calculations:
number of pounds of almonds = 31 pounds
cost of almonds = $31
number of pounds of macadamia = 71 pounds
cost of macadamia = </span>$421.03
Answer:
It says that angle ABD all together equal 116 degrees so the angle CBD equals 48 degrees so to find out what x is just subtract angles ABD and CBD which is
116-48 = 68
C. 68
