Answer:
95
Step-by-step explanation:
let x be his mark in the fourth test, then
mean =
= 83 ( multiply both sides by 4 )
83 + 81 + 73 + x = 332
237 + x = 332 ( subtract 237 from both sides )
x = 95
Answer:
a) see below
b) 40x20 meters
Step-by-step explanation:
Write down what you know:
- The area of the enclosure is length*width, so

- The length of the fencing is 80 meters, so

Now we have to combine these two equations above, and get rid of y in the process.
First rewrite the second as:

Then substitute for y in the first:

b) To maximize A, find the zero of the first derivative:

So y = (80-40)/2 = 20 meters.
Answer:
see below
Step-by-step explanation:
Since the quadrilateral is inscribed in the circle, the opposite angles add to 180.
<V+ <B = 180
74+ <B = 180
Subtract 74 from each side
74-74+ <B = 180-74
<B = 106
We now need to find arc AB
Arc AC is 2* <V = 2*74 =154
We know arc AC = arc AB + arc BC
154 = arc AB + 86
Subtract 86 from each side
154-86 = arc AB + 86 -86
68 = arc AB
From a formula located here:
http://www.1728.org/quadltrl.htm
we see that
<span>4 • Side² = Long Diagonal² + Short Diagonal²
Long Diagonal = 24
Short Diagonal = 10
</span><span>4 • Side² = 24^2 + 10^2 </span>
<span>4 • Side² = 576 + 100
</span><span>4 • Side² = 676
</span><span><span>Side²</span> = 169
Side (or line AB) = 13
</span>