Hey there!
Which is the prime factorization of 40?
Option A.
2 * 5
= 2 + 2 + 2 + 2 + 2
= 4 + 4 + 2
= 8 + 2
= 10
Option B.
2^3 * 5
= 2 * 2 * 2 * 5
= 4 * 2 * 5
= 8 * 5
= 40
Option C.
2 * 53
= 53 * 2
= 53 + 53
= 106
2 * 3 * 5
= 6 * 5
= 6 + 6 + 6 + 6 + 6
= 12 + 12 + 6
= 24 + 6
= 30
Therefore, your answer is:
Option B. 2^3 * 5
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Answer:
The correct option is D. y = 25
.
Step-by-step explanation:
i) From the table and our own observation and a trial and error approach we
can clearly see that the equation that matches y in feet ( the distance
traveled by the rocket) and x in seconds ( the time elapsed) is given by the
equation y = 25
Therefore the correct option is D. y = 25.
Answer:
b. not similar
Step-by-step explanation:
The given sides* have the ratio 30:39 = 10:13 in one triangle and the ratio 20:27 = 10:13.5 in the other triangle. Since these ratios are different, the triangles cannot be similar.
____
* These are the sides bracketing the vertical angles at T. If the triangles were similar, the three sides would have to have the ratios 10 : 13 : 13.5.
However, the geometry shown would require that the angle opposite side 13.5 in one triangle have the same measure as the angle opposite side 13 in the other triangle. That is not possible, so it is not possible for these triangles to be similar.
The sum is 160/(1-r)=1280 where r is the common ratio,
1/(1-r)=1280/160=8
Inverting we get 1-r=1/8, r=7/8.
