Answer:
m arc ACD =310
m arc AC = 130
Step-by-step explanation:
drawing the figure helps
if you do, should get something like the figure below
filling in arc ad as 50 degrees tells you that the angle describing it is also 50 degrees; it's a central angle.
and we know that 1/2 of a circle is 180 degrees. so if you subtract 50 from 180 you'll get 130 which will be your measurement for arc AC (because it is a central angle and AC
+AD completes the 180 half.).
as well as that to get ACD, well 1st we know that arc AC is within arc ACD. that would mean that ACD has to be more than 130.
what you can do is subtract 50 from 360. the entire circle is 360, but seeing as the arc is ACD (The rest of the circle excluding arc AD since we aren't looking for that measurement) we can just subtract.
subtracting 50 from 360 will give you 310
A) The answer is 9.3 * 10⁷ mi
First, represent the number as the product of a number in the range 1 up to 10 and a number divisible by 10:
93,000,000 mi = 9.3 * 10,000,000 mi
10,000,000 = 10 * 10 * 10 * 10 * 10 * 10 * 10 = 10⁷
93,000,000 mi = 9.3 * 10,000,000 mi = 9.3 * 10⁷ mi
b) The answer is 4 * 10⁻² in
Represent the number as the product of a number in the range 1 up to 10 and a number divisible by 10.
0.04 in = 4 * 0.01 in
0.01 = 10⁻²
0.04 in = 4 * 0.01 in = 4 * 10⁻² in
c) The distance to the sun in inches is 5,892,480,000,000 in
1 mi = 63,360 in
93,000,000 mi = 93,000,000 * 63,360 in = 5,892,480,000,000 in
<span>How many fireflies would it take to reach the sun if they were put end to end:
</span>147,312,000,000,000<span>
x - number of fireflies
x * 0.04 in = </span>5,892,480,000,000 in
x = 5,892,480,000,000 in / 0.04 in
x = 147,312,000,000,000
The equation is positive, so the graph should be on the other side. One way to check this would be to plug a number in the equation,
where x = -2
y= 3/2(-2)-1
y= -3-1
y= -4
on the graph you plotted you have y = 2 where x = -2
