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3 years ago

Please help this is almost due soon!

Mathematics

1 answer:

PolarNik [594]3 years ago

6 0

Answer:

$6\pi$

Step-by-step explanation:

The area of the circumference of a circle is:

$C=2\pi r$

We know that r is 8, so we can plug that into the formula.

However, there's a problem. We only want 3pi/4 of the circumference, not the entire circle's circumference. Therefore, we have to divide by part/whole. In this case, the part is 3pi/4, and the whole is 2pi (the entire circle is 2pi radians).

$C = (\frac{3\pi/4}{2\pi})*(2\pi *8)\\C = (\frac{3}{8})(16\pi)\\C = \frac{48\pi }{8} \\C = 6\pi$

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3.25

Step-by-step explanation:

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3 years ago

Find 43 ÷ 6 (as a mixed number).

Aleksandr [31]

Answer:

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Step-by-step explanation:

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3 years ago

SOLVE THIS EXTREMELY IMPORTANT EQUATION

finlep [7]

Answer:

Option B; EF = ( About ) 4.47 units, Perimeter of Δ EFG = ( About ) 12.94 units

Step-by-step explanation:

If we were to consider the height of this triangle EFG, it would be 4 units of length, supposedly splitting base GF into two ≅ parts, each 2 units of length. First let us name the point drawn to base GF ⇒ point H, so that the height of Δ EFG ⇒ EH. Now as EH splits GF into two ≅ parts, by Converse to Coincidence Theorem, Δ EFG ⇒ Isosceles Δ;

EH and FH are legs of a right triangle EFH, so that Pythagorean Theorem can be applied to solve for the length of EF and EG, knowing that as Δ EFG ⇒ Isosceles Δ, EF ≅ EG;

( EH )^2 + ( FH )^2 = ( EF )^2,

( 4 )^2 + ( 2 )^2 = ( EF )^2 ⇒ take square of 4 & 2,

16 + 4 = ( EF )^2 ⇒ combine like terms,

( EF )^2 = 20 ⇒ take square root on either side to solve for EF,

EF = √ 20 = ( About ) 4.47 units = EG,

Perimeter of Δ EFG = EF + GF + EG = 4.47 + 4 + 4.47 = ( About ) 12.94 units,

Solution; Option B

6 0

3 years ago

What is α, the probability of a Type I error if the null hypothesis, H0, is: Carmin believes that her chemistry exam will only c

baherus [9]

Answer:

The probability of falling into a type I error, when testing a hypothesis test, consists of:

Probability of rejecting the null hypothesis when, in reality, this hypothesis is true.

Probability of rejecting the null hypothesis when, in reality, this hypothesis is true, is:

Probability of Affirm that Chemistry exam will NOT cover only chapters four and five, since the Chemistry exam will cover only chapters four and five.

That is, alpha is the probability that Carmin decides to study additional chapters, unnecessarily.

Step-by-step explanation:

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3 years ago