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4 years ago

Find the angle of rotation about the center of the regular pentagon that maps A to E

Mathematics

1 answer:

pav-90 [236]4 years ago

6 0

Answer:

C 288

Step-by-step explanation:

using counter clockwise rotation

360/5 x 4 =288

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Determine whether 5, 226 is divisible by 2,3,4,5,6,9, or 10.

uranmaximum [27]

Answer:

2,3,6

Step-by-step explanation:

5,226 ...(1)

unit digit=6

6 is divisible by 2,

so (1) is divisible by 2.

last two digits=26 ,not divisible by 4,

so (1) is not divisible by 4.

5+2+2+6=15 divisible by 3 but not divisible by 9.

so (1) is divisible by 3 but not divisible by 9.

2×3=6,so (1) is divisible by 6.

unit digit=6≠0 or 5

so (1) is not divisible by 5 or 10.

8 0

3 years ago

Read 2 more answers

The half-life of a certain tranquilizer in the bloodstream is 47 hours. How long will it take for the drug to decay to 93% of

GaryK [48]

Answer:

It will take 4.84 hours for the drug to decay to 93% of the original dosage.

Step-by-step explanation:

We are given that the half-life of a certain tranquilizer in the bloodstream is 47 hours.

The given exponential model is: $A = A_0 e^{kt}$

Now, we know that A becomes half after 47 hours which means that;

$A = 0.5 A_0$

Using this in the above equation we get;

$A = A_0 e^{kt}$

$0.5 A_0 = A_0 e^{(k\times 47)}$ where t = 47 hours

$\frac{0.5 A_0}{A_0} = e^{(47k)}$

$0.5 = e^{47k}$

Taking log on both sides we get;

$ln(0.5) = ln(e^{47k})$

$ln(0.5) =47k$

$k = \frac{ln(0.5)}{47}$

k = -0.015

Now, the time it will take for the drug to decay to 93% of the original dosage is given by;

$0.93 = e^{kt}$ where t is the required time

$0.93 = e^{(-0.015 \times t)}$

Taking log on both sides we get;

$ln(0.93) = ln(e^{-0.015t})$

$ln(0.93) =-0.015t$

$t = \frac{ln(0.93)}{-0.015}$

t = 4.84 hours

Hence, it will take 4.84 hours for the drug to decay to 93% of the original dosage.

8 0

3 years ago

Kate is saving money to take an SAT prep course. So far, she has $180 saved, and she plans to add $17 each month.

Alexus [3.1K]

It will take her 10 weeks to save enough money. 350-180=170 170/17=10 Hope this helps!

8 0

4 years ago

Write 16 hours to 5 days in lowest terms

Eddi Din [679]

Answer:

489,600 seconds

Step-by-step explanation:

hope this helps

6 0

3 years ago

What is the answer to the equation 4x = 14

avanturin [10]

Simple....

you have the variable isolated..simply divide or simplify...

4x=14

$\frac{4x}{4} = \frac{14}{4}$

x=3.5

Also,

x= $\frac{7}{2}$

Thus, your answer.

7 0

3 years ago