<p>9: This one's hard to describe, but imagine sliding the vertical segment labeled 8 to the left so it lines up with the segment labeled 12 and you have a straight vertical edge with total lengh 20. Also, imagine sliding the vertical segment indented on the right side of the figure outside so you get another straight vertical line. Similarly, slide the two horizontal segments next to the jutting part of the figure upwards. Basically, you'll end up with a rectangle! Its perimeter is 20+20+20+20 = 80.</p>
<ol>
<li><p>If CBG = 140, CBD = 180-140=40. The sum of the angles in triangle CBD is 180, so 180 = angle(CBD)+ange(BDC)+angle(DCB) = 47+40+ angle(BDC), so angle(BDC)=93. Now, BDC and CDA are supplementary angles that sum to 180, so CDA+93=180, CDA=87. Now in triangle CAD you know two of the angles (cda=87, cad=76 is given) so solve for the last angle, which will be 17.</p></li>
<li><p>The total volume of the pool is pi * r^2 * h = pi * (12)^2<em>6=864 pi. If the pool is filled up to a height of 5 feet, and the total height of the pool is 6 feet, then 5/6 of the volume of the pool will be filled up. So, (5/6)</em>864pi=720pi=2262.</p></li>
<li><p>The length of that zipper will be the sum of the lengths of the radius of the circular cover and the arc. The radius of the cover is equal to the radius of the top of the pool, 12 ft. To find the arc length of a 45 degree section of the circle, realize that the total degree measure of a circle is 360, so the arc length is 45/360 times the total circumference of the circle. Sum=12+(45/360)<em>(2</em>pi*r), and solve to get (G).</p></li>
</ol>
<h1>45: You can figure out the angle measure of each angle in the pentagon by using the formula interior angle = n-2(180)/2 where n is the number of sides. thus the interior angles are each 108 degrees. thus the base angles of the triangle are each 180-108=72. 180-72-72 will give u the angle, which is 36 degrees C.</h1>
<p>50, you know that y is one less than the square of x. You can write this as an equation... y=x^2 - 1... I knew right away that it was a parabola symetrical about the y axis, and displaced down one unit, so it has its origin at (0,-1) If you did't know this, you could plug in x values and get y values and be able to see which graph looked like the results, the answer is J.</p>
<p>54: Im not sure exactly the correct answer here... I believe that it is 48 inches, or 4 ft... but i dont know how to explain it... any help?</p>
<p>55: you know that both a1 and a2 are positive, because the cos graph starts at a positive y value, and the sin graph starts by going upward. Thus this rules out C D and E. The amplitude of Y1 is greater than that of Y2, thus a1 is greater than a2 and both are greater than zero, so the answer is B.</p>
<p>you have to imagine the table cloth off of the table. </p>
<p>so the part of the cloth resting on the table is 3ft, or 36 inches long. and its going to hang over 5 inches on each side and have 1 inch folded over for a total of 6 inches long on both sides.
so your cloth looks like:
-6------36------6- 6+36+6=48. </p>
<p>The 60 inches was irrelevant to the problem.</p>