Answer:
74 degrees
Step-by-step explanation:
The two angles in question form a straight line (180 degrees)
180 = CHF + FHD
180 = 106 + FHD
180 - 106 = FHD
FHD = 74 degrees
the student has left 75 because if you add 5 and 70 it gives you $75 that's how much the student had left.
The volume is 1024. the base lengths are all 16 inches
<u>Answer:</u>
The coefficient of 
<u>Solution:
</u>
The given expression is 
As per binomial theorem, we know,

Now here a = 2x, b = (- 3y) and n = 10 and k = 0,1,2,….10
Now
will be the 6 term where k =5
Now, 
So, the coefficient of
.

The coefficient of 
Answer:
y = 9.8995
Step-by-step explanation:
This question requires the use of basic trigonometry.
In this problem, we know one of the sides and two of the angles.
Since one of the angles is 45 degrees and the sum of all internal angles of a triangle is 180 degrees, the other angle can only be 45 degrees, making this an isosceles triangle - that is, the length of the other leg, x, is also 7.
You could use the soh cah toa mnemonic to figure it out, but here just using the a^2 + b^2 = c^2 should be sufficient since we know both legs of the triangle.
7^2 + 7^2 = 98, and the square root of 98 gives you about 9.8995, which sounds about right for this situation.
Hope this helped!