Joseph is creating a dilation through point B with a scale factor of 2. Which statements about the dilation are correct? Check a
ll that apply. Triangle A B C. Angle B is a right angle.
2 answers:
Answer:
Options (1), (2) and (4).
Step-by-step explanation:
Given question is incomplete; Find the complete question in the attachment.
Triangle ABC is a right triangle.
ΔABC has been dilated by a scale factor of 2 forming ΔA'B'C'.
These are the observations,
1). A and A' will be co-linear.
2). Since the given triangle has been dilated about a point B therefore, after dilation vertex B and B' will at be same location.
3). Length of B'C' = 2BC
4). AB and BC are the segments which will lie on the sides BA' and BC'.
5). Pre-image ABC will be inside the image A'B'C'.
Therefore, Options (1), (2) and (4) will be the answer.
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Hey! I'll provide you the answers!
First you want to simplify the equation using cross-multiplication.
Finally, you would want to divide both sides by 15.
n = 161
First you want to simplify the equation using cross-multiplication.
Finally, you would want to divide both sides by 15.
n = 161
Answer:
Step-by-step explanation:
Use the half life formula
where N is the amount after decay, No is the initial amount, e is Euler's number, k is the decay constant, and t is the time in minutes. For us, the first equation looks like this:
and we will solve that for k and then use that value of k in the second equation to find time.
Begin by dividing 7 by 12 to get
Now take the natural log of both sides since the natural log and that e are inverses. The e then disappears:
Plug the left side into your calculator and then set it equal to the right side, giving us:
Divide both sides by 70 to get the k value of
k = -.00769995
Now the second equation looks like this:
where t is our only unknown now that we know k.
Begin by dividing both sides by 12 to get
and take the natural log of both sides again to eliminate the e:
Take care of the left side on your calculator to get
-1.791759469 = -.00769995t and divide both sides by -.00769995 to get
t = 232.697 minutes