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natta225 [31]
3 years ago
5

Assessment items What is the smallest angle of rotational symmetry that maps a regular pentagon onto itself?

Mathematics
2 answers:
Romashka-Z-Leto [24]3 years ago
5 0

A regular pentagon has 5 vertices.  360°/5 = 72°

Answer: 72°

ycow [4]3 years ago
5 0

Answer:

72°

Step-by-step explanation:

done the topic

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Tyana has a collection of hoodies and t-shirts. She has 561 pieces of collected clothing in all. The number of hoodies is twice
Delicious77 [7]

Answer:

187 t-shirts and 374 hoodies.

Step-by-step explanation:

(t is shirts)

561 = t + (2t)

561 = 3t

/3. /3

187 = t

ck:

187 + ( 2 times 187) = 561

187 + 374 = 561

561 = 561

7 0
3 years ago
In 10 words or less, explain what it means for two segments to be parallel.
ArbitrLikvidat [17]

Answer:

Two or more lines are parallel when they lie in the same plane and never intersect.

Step-by-step explanation:

8 0
3 years ago
A certain radioactive isotope has leaked into a small stream. Three hundred days after the​ leak, 3% of the original amount of t
sesenic [268]
If the half-life is t, then every t days, the amount of the radioactive isotope will be cut in half.
(1/2)^(number of half-lives) = 3%
number of half-lives = ln(0.03) / ln(0.5)
This gives the number of half-lives as 5.06.
Then 300 days = (5.06)(length of 1 half-life)
length of 1 half-life = 300 / 5.06 = 59.29 days
6 0
4 years ago
A 46 gram sample of a substance that is used to sterilize surgical instruments has a k-value of 0.1374. Find the substance's hal
mars1129 [50]

Answer:

  t=5.0days

Step-by-step explanation:

Using the formula for the exponential decay that is N=N_{0}e^{-kt}, we have N=\frac{1}{2}{\times}46=23, N_{0}=46 and k=0.1374.

Thus, N=N_{0}e^{-kt} becomes

23=46{\times}e^{-0.1374t}

\frac{23}{46}=e^{-0.1374t}

\frac{1}{2}=e^{-0.1374t}

Taking log on both sides, we get

ln(\frac{1}{2})={-0.1374t}

t=\frac{ln\frac{1}{2}}{-0.1}

t=\frac{-0.6931}{-0.1374}

t=5.0days

4 0
3 years ago
If 9 were subtracted from three times a number, the result would be the same as if 4 were added to twice the number. what is the
amid [387]
3x-9=2x+4
3x-9+9=2x+4+9
3x=2x+13
3x-2x=2x-2x+13
x=13
Check:
3(13)-9=2(13)+4
39-9=26+4
30=30
4 0
4 years ago
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