Answer:
SI = 2052.61 ft
Step-by-step explanation:
cos 13 = 2000/SI
0.9744 = 2000/SI
multiply both sides by SI:
(SI)(0.9744) = 2000
divide both sides by 0.9744:
SI = 2052.61 ft
Let x be the yard length, then if <span>the length of the yard is 10 feet more than 2 times the width, the length of the yard is 2x+10. The perimeter is 2 lengths + 2 widths, so P=2x+2(2x+10) .
</span>
Since Sally <span>needs 56 feet of fencing to do the job, P=56 ft. and
</span>
<span>2x+2(2x+10)=56,
</span><span>
</span><span>2x+4x+20=56,
</span><span>
</span><span>6x=56-20,
</span><span>
</span><span>6x=36,
</span><span>
</span><span>x=6 ft. and 2x+10=12+10=22 ft.
</span><span>
</span><span>Answer: The length of the yard is 22 feet</span>
Problem 7)
The answer is choice B. Only graph 2 contains an Euler circuit.
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To have a Euler circuit, each vertex must have an even number of paths connecting to it. This does not happen with graph 1 since vertex A and vertex D have an odd number of vertices (3 each). The odd vertex count makes it impossible to travel back to the starting point, while making sure to only use each edge one time only.
With graph 2, each vertex has exactly two edges attached to it. So an Euler circuit is possible here.
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Problem 8)
The answer is choice B) 5
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Work Shown:
abc base 2 = (a*2^2 + b*2^1 + c*2^0) base 10
101 base 2 = (1*2^2 + 0*2^1 + 1*2^0) base 10
101 base 2 = (1*4 + 0*2 + 1*1) base 10
101 base 2 = (4 + 0 + 1) base 10
101 base 2 = 5 base 10
Answer: The second one
Step-by-step explanation:
Lineair is always a straight line, think of it as a “line in the air”
