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slamgirl [31]
3 years ago
7

Find the m∠p. pls and thanks <3

Mathematics
1 answer:
Keith_Richards [23]3 years ago
8 0

Answer:

36°

Step-by-step explanation:

Like your other question, the angles of the triangle must add up to 180. The tangent line is perpendicular to the center, so the angle must be 90°.

90° + 54° + 36° = 180°

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If $10,500 is deposited in a compound interest account paying 2.99% interest annually, how much will be in the account after 5 y
algol [13]

\bf ~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$10500\\ r=rate\to 2.99\%\to \frac{2.99}{100}\dotfill &0.0299\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &5 \end{cases} \\\\\\ A=10500\left(1+\frac{0.0299}{1}\right)^{1\cdot 5}\implies A=10500(1.0299)^5\implies A\approx 12166.47

5 0
3 years ago
If a binomial trial has a success of .3, how many successes would you expect out of 500 trails
melomori [17]

Answer:

gfs

Step-by-step explanation:

7 0
2 years ago
A sphere has a diameter of 12.5 inches. What is the surface area of the sphere? 50π in² 156.25π in² 625π in² 2604.17π in²
Advocard [28]
Hello!

To find the surface area of a sphere you use the equation

A = 4 \pi  r^{2}

A is surface area
r is radius which is half the diameter

Put in the values you know

A = 4 \pi 6.25^{2}

Square the number

A = 4 \pi 39.0625

Multiply the 4 and the 39.0625

A = 156.25 \pi

The answer is B) 156.25 \pi  in^{2}

Hope this helps!
3 0
3 years ago
The average college lecture hall (auditorium) can seat 60 students with a standard deviation of 21. Assume that a total of 60 le
fiasKO [112]

Answer:

The standard deviation of the sample mean is  \sigma _ {\=  x } = 2.711

Step-by-step explanation:

From the question we are told that

   The mean is  \= x  =  60

    The standard deviation is  \sigma  =  21

     The sample size is n  =  60

Generally the standard deviation of the sample mean is mathematically represented as  

               \sigma _ {\=  x } =  \frac{\sigma  }{\sqrt{n} }

substituting values

               \sigma _ {\=  x } =  \frac{ 21 }{\sqrt{60} }

               \sigma _ {\=  x } = 2.711

4 0
3 years ago
Evaluate the expression 5x-3x for x = 2
Fantom [35]
-------------------------------------
Expression 
-------------------------------------
5x - 3x

-------------------------------------
Substitute x = 2
-------------------------------------
5 (2) - 3(2)
= 10 - 6
 = 4

-------------------------------------
Answer: 4
-------------------------------------
6 0
3 years ago
Read 2 more answers
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