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musickatia [10]
3 years ago
9

The diameter of a circle is 18m. Eugene claims that the circumstances of the circle is 113.04m. What is the circumference of the

circle and what is the mistake the Eugene likely has made?
Mathematics
1 answer:
pogonyaev3 years ago
4 0

Answer:

The circumference is 56.52 m

Step-by-step explanation:

Eugene likely made the mistake of doubling the diameter thinking that it was the radius which gave the answer double the actual one. The equation for finding a circumference is C=\piD where d is equal to the diameter and c is the circumference. All you do is multiply 18 and 3.14 to get your answer.

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What is a positive angle less than 360 degrees that is conterminal with 540 degrees
jekas [21]

Answer:

Please check the explanation.

Step-by-step explanation:

As we have to determine a positive angle less than 360 degrees that is conterminal with 540 degrees.

so

  • Subtract 360° from 540°

540° - 360° = 180°

The resulting angle of 180° is positive, less than 360°, and coterminal with 540°.

7 0
2 years ago
Divide el rufini6x-4x+2 entre x-2<br> x+2x+x+2 entrex+2
Mashcka [7]

Answer:

Combine Like terms and do the Equation normally

Step-by-step explanation:

8 0
3 years ago
74.823 WHAT IS THE PLACE VALUE OF THE 3?
Ipatiy [6.2K]
One thousandths. make sure you add the ths because it is a decimal
4 0
3 years ago
Read 2 more answers
Suppose that X has an exponential distribution with mean equal to 10. Determine the following: a. P(X &gt; 10) b. P(X &gt; 20) c
GrogVix [38]

Answer:

(a) The value of P (X > 10) is 0.3679.

(b) The value of P (X > 20) is 0.1353.

(c) The value of P (X < 30) is 0.9502.

(d) The value of x is 30.

Step-by-step explanation:

The probability density function of an exponential distribution is:

f(x)=\lambda e^{-\lambda x};\ x>0, \lambda>0

The value of E (X) is 10.

The parameter λ is:

\lambda=\frac{1}{E(X)}=\frac{1}{10}=0.10

(a)

Compute the value of P (X > 10) as follows:

P(X>10)=\int\limits^{\infty}_{10} {0.10 e^{-0.10 x}} \, dx \\=0.10\int\limits^{\infty}_{10} { e^{-0.10 x}} \, dx\\=0.10|\frac{e^{-0.10 x}}{-0.10} |^{\infty}_{10}\\=|e^{-0.10 x} |^{\infty}_{10}\\=e^{-0.10\times10}\\=0.3679

Thus, the value of P (X > 10) is 0.3679.

(b)

Compute the value of P (X > 20) as follows:

P(X>20)=\int\limits^{\infty}_{20} {0.10 e^{-0.10 x}} \, dx \\=0.10\int\limits^{\infty}_{20} { e^{-0.10 x}} \, dx\\=0.10|\frac{e^{-0.10 x}}{-0.10} |^{\infty}_{20}\\=|e^{-0.10 x} |^{\infty}_{20}\\=e^{-0.10\times20}\\=0.1353

Thus, the value of P (X > 20) is 0.1353.

(c)

Compute the value of P (X < 30) as follows:

P(X

Thus, the value of P (X < 30) is 0.9502.

(d)

It is given that, P (X < x) = 0.95.

Compute the value of <em>x</em> as follows:

P(X

Take natural log on both sides.

ln(e^{-0.10x})=ln(0.05)\\-0.10x=-2.996\\x=\frac{2.996}{0.10}\\ =29.96\\\approx30

Thus, the value of x is 30.

7 0
3 years ago
The measure of the largest angle of a triangle is three times the measure of the smallest triangle and 2 more than the third ang
Zigmanuir [339]

Answer:

90 degrees, 60 degrees and 30 degrees

Step-by-step explanation:

90/3 = 30

30 x 2 = 60

6 0
3 years ago
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