Answer: 7824537630
Step-by-step explanation:
1. The major arc ED has measure 180 degrees since ED is a diameter of the circle. The measure of arc EF is 
, so the measure of arc DF is
The inscribed angle theorem tells us that the central angle subtended by arc DF, 
, has a measure of twice the measure of the inscribed angle DEF (which is the same angle OEF) so
so the measure of arc DF is also 64 degrees. So we have
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2. Arc FE and angle EOF have the same measure, 56 degrees. By the inscribed angle theorem,
Triangle DEF is isosceles because FD and ED have the same length, so angles EFD and DEF are congruent. Also, the sum of the interior angles of any triangle is 180 degrees. It follows that
Triangle OFE is also isosceles, so angles EFO and FEO are congruent. So we have
Here we don't know the length of the hypo, but do have measures of both legs of this right triangle: x and 40 yd.
Use the tangent function to determine the value of x:
x
--------- = tan 62 degrees. Solving for x: x = (40 yd)(tan 62 deg).
40 yd can you evaluate this yourself?
<span><span><span>15+<span>3t</span></span>−5</span>−<span>8t</span></span><span>=<span><span><span><span><span>15+<span>3t</span></span>+</span>−5</span>+</span>−<span>8t</span></span></span>Combine Like Terms:<span>=<span><span><span>15+<span>3t</span></span>+<span>−5</span></span>+<span>−<span>8t</span></span></span></span><span>=<span><span>(<span><span>3t</span>+<span>−<span>8t</span></span></span>)</span>+<span>(<span>15+<span>−5</span></span>)</span></span></span><span>=<span><span>−<span>5t</span></span>+10</span></span>Answer:<span>=<span><span>−<span>5t</span></span>+<span>10</span></span></span>
Answer:
8.24 grams/marble
Step-by-step explanation:
Average mass = (total mass)/(number of marbles)
Here, that would be:
824 g
------------------- = 8.24 grams/marble
100 marbles
