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cricket20 [7]
2 years ago
13

12.) tan L

Mathematics
1 answer:
pogonyaev2 years ago
5 0

Answer: \frac{\sqrt{6}}{2}

Step-by-step explanation:

By the Pythagorean theorem,

2^2 + (MN)^2 = (\sqrt{10})^2\\\\4+(MN)^2 = 10\\\\(MN)^2 = 6\\\\MN=\sqrt{6}\\\\\implies \tan L=\frac{\sqrt{6}}{2}

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Tom made $450 selling CDs last month. That total increased to $513 this month. What was the percent increase? (pls answer)
svetoff [14.1K]

Answer:

14%

Step-by-step explanation:

7 0
3 years ago
Please help, very urgent!
STALIN [3.7K]

Answer:

0.36

Step-by-step explanation:

Given, a circle with radius, r=4 \ cm

Area of circle =\pi r^2

Substitute r=4

Area of whole circle=\pi r^2\\=\pi\times 4^2\\=16\pi \\=50.2654\ cm^2

Square is inscribed in it whose each side is 4\sqrt{2}\ cm

Area of square =side^2\\=(4\sqrt{2} )^2\\=16\times 2\\=32 \ cm^2

We can see that area of the white circle

= area of the whole circle - area of square

=50.2654-32\\=18.2654 \ cm^2

Probability of falling a random point within the white circle

=\frac{area\ of\ white\ circle}{area\ of\ whole\ circle}

=\frac{18.2654}{50.2654} \\=0.3633

Rounding to nearest hundredth.

Probability of falling a random point within the white circle would be 0.36

5 0
4 years ago
5/7^3=5(7^x)<br> Find X.<br> Thanks.
Zina [86]
Hello,

\dfrac{5}{7^3}=5*7^x\\&#10;5*7^{-3}=5*7^x\\&#10;&#10;\boxed{x=-3}&#10;
8 0
3 years ago
James opened a savings account with $425. After 2 years, the total interest he earned was $10.20. What was the annual interest r
SashulF [63]

Answer:

She has saved $1000 land wants to open an account at the bank so where she earns a simple interest rate of 10/%. If she does ... t years,. • Pis the principal amount (the amount borrowed or invested) ... If he waits 2 years? or 3 years to pay back ... annually. How much money will Jack have after 1 year? 2 years? 5 years? 10

Step-by-step explanation:

8 0
3 years ago
Twenty identical looking packets of white power are such that 15 contain cocaine and 5 do not. Four packets were randomly select
xxMikexx [17]

Answer:

The probability of selecting randomly 6 packets such that the first 4 contain cocaine and 2 not is 0.3522.

Step-by-step explanation:

Probabilities of selecting 4 packets with the ilegal substance:

(\frac{15}{4})\\= \frac{15!}{4!(15-4)!}

Combinassions possible= 1365

Probabilities of selecting 2 packets with white powder:

(\frac{5}{2})= \frac{5!}{2!(5-2)!}

Combinations possible= 10

Probabilities of selecting 6 packets from the totality of them:

(\frac{20}{6}) = \frac{20!}{6!(20-6)!}

Combinations possible= 38760

The probability of picking 4 with the substance and 2 with only white powder is:

\frac{(15ncr4)(5ncr2)}{(20ncr6)} = 0.3522

I hope this answer helps you.

6 0
3 years ago
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