Answer:
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- <em><u>A. Draw a diameter of the circle. </u></em>
Explanation:
To<em> draw a square</em> you can <em>draw a circle</em> with a <em>compass</em> and then construct the inscribed square.
You can construct an inscribed square with a compass and a straightedge.
The <u>first step</u> is to draw the circle.
The <u>next</u> step is to <em>draw a diameter</em> (any line that passes through the center of the circle, which you marked when drew the circle). Hence, this is the correct answer to the queston, and it is described by the choice A.
After that, you will be able to draw the perpendicular bisector of the diameter. The two diameters drawn will mark four equidistant points on the circle which will be the four vertices of your square.
Finally, you just must join the adjacent vertices with the straightedge.
If the problem says by or divided by
Problem 3: Let x = price of bag of pretzels Let y = price of box of granola bars
We have Lesley's purchase: 4x+2y=13.50
And Landon's: 1x+5y=17.55
We can use the elimination method. Let's negate Landon's purchase by multiplying by -1. -1x-5y=-17.55
We add this four times to Lesley's purchase to eliminate the x variable.
2y-20y=13.50-70.2
-18y=-56.7
y = $3.15 = Price of box of granola bars
Plug back into Landon's purchase to solve for pretzels.
x+5*3.15=17.55
x+15.75=17.55
x = $1.80 = price of bag of pretzels
Problem 4.
Let w = number of wood bats sold
Let m = number of metal bats sold
From sales information we have: w + m = 23
24w+30m=606
Substitution works well here. Solve for w in the first equation, w = 23 - m, and plug this into the second.
24*(23-m)+30m=606
552-24m+30m=606
6m=54
m=9 = number of metal bats sold
Therefore since w = 23-m, w = 23-9 = 14. 14 wooden bats were sold.
The tangent of x is defined to be its sine divided by its cosine: tan x = sin x cos x . The cotangent of x is defined to be the cosine of x divided by the sine of x: cot x = cos x sin x .
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