Answer:
C is the right answer I think
Sum of angles In all triangles are 180....line DAC is horizontal and therefore is 180 degrees ....so minus 180 degrees from 105 and you get 75 degrees....and since the sum of all angles in a triangle is 180...add 75 and 67 which would be 142 degrees ...then minus 142 from 180 degrees to get 38 degrees for x
X + (2x + 7) = 121 : Write the expression.
3x + 7 = 121 : Combine like terms.
3x + 7 - 7 = 121 - 7 : Isolate x.
3x = 114 : Combined like terms.
3x / 3 = 114 / 3 : Find the value of x.
x = 38 : This is the smaller integer.
(2x + 7) = (2(38) + 7) = 76 + 7 = 83. : Find the value of the larger number by plugging in the value of x to the larger number's quantity.
The larger number is 83, and the smaller number is 38.
Answer:
35 mph
Step-by-step explanation:
time = distance / speed
210 miles and has an average of a certain speed
t = 210 / s
If the average speed had been 3mph more, he could have traveled 228 miles in the same length of time
t = 228 / (s + 3)
Set equal
210 / s = 228 / (s + 3)
Cross multiply
210s + 630 = 228s
Subtract 210s from both sides
630 = 18s
Divie both sides by 18
35 = s
35 mph
We need the half-life of C-14 which is 5,730 years.
Now, we will need a half-life equation:
elapsed time = half-life * log (bgng amt / ending amt) / log 2
We'll say beginning amount = 100 and ending amount = 41
elapsed time = 5,730 * log (100/41) / log 2
elapsed time = 5,730 * log (
<span>
<span>
<span>
2.4390243902
</span>
</span>
</span>
) / 0.30102999566
elapsed time = 5,730 * 0.38721614327 / 0.30102999566
elapsed time =
<span>
<span>
</span></span><span><span><span>5,730 * 1.2863041851
</span>
</span>
</span>
<span>elapsed time = 7,370.523 years
Source:
http://www.1728.org/halflife.htm </span>
