All categories

2 years ago

PLZ HELP ASAP AREA OF A SECTOR

Mathematics

1 answer:

const2013 [10]2 years ago

4 0

The fraction of a circle represented by the shaded region is:
S '/ S = ((8/5) * pi * r) / (2 * pi * r)
Rewriting we have:
S '/ S = ((8/5)) / (2)
S '/ S = 8/10
S '/ S = 4/5
Then, we can make the following rule of three:
(64/5) pi -------> 4/5
x ----------------> 1
Clearing x we have:
x = ((1) / (4/5)) * ((64/5) pi)
Rewriting:
x = (5/4) * ((64/5) pi)
x = (5/4) * ((64/5) pi)
x = 50.24
Answer:
The area of the complete circle is:
x = 50.24

You might be interested in

Write the standard form of the equation of a circle with radius 3 and center (11, 3)

Talja [164]

Answer:

x² - 22x + y² - 6y + 121 = 0

Step-by-step explanation:

General Form of Equation

(x - h)² + (y - k)² = r²

Solving

(x - 11)² + (y - 3)² = (3)²
x² - 22x + 121 + y² - 6y + 9 = 9
x² - 22x + y² - 6y + 121 = 0

4 0

1 year ago

Read 2 more answers

Whar does7^or other numbers like it mean?

likoan [24]

7^0=1

7^1=7

7^2=7*7=49

7^3=7*7*7=343

etc... etc...

4 0

2 years ago

Read 2 more answers

For a binomial process, the probability of success is 40 percent and the number of trials is 5. Find the standard deviation.

Yakvenalex [24]

Answer:

$Sd(X) =\sqrt{1.2}=1.095$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=5, p=0.4)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

The mean for the binomial distribution is given by:

$E(X) =np=5*0.4=2$

And the variance is given by:

$Var(X) = np(1-p) =5*0.4*(1-0.4)=1.2$

And the deviation is just the square root of the variance so we got:

$Sd(X) =\sqrt{1.2}=1.095$

7 0

2 years ago

Help plsss

andrew11 [14]

(b) is the answer.

Step-by-step explanation:

By the Pythagorean Theorem,

A² + B² = C²

Where:

A = Length of side 1

B = Length of side 2

C = Hypotenuse

This rule applies to all right-angled triangles.

The length of the hypotenuse of a right-angled triangle is always the largest value.

Therefore, we can test the answers with the equation above.

(a)

8² + 18² = 20²

64 + 324 = 400

388 ≠ 400

The rule of Pythagorean theorem doesn't work on a, so (a) is not a right-angled triangle.

(b)

12² + 35² = 37²

144 + 1225 = 1369

1369 = 1369

The rule of Pythagorean theorem works here, so (b) is a right-angled triangle.

8 0

2 years ago

Consider to circular swimming pools.Pool A has a radius of 12 feet and Pool B has a diameter of 7.5 meters which pool has a grea

mamaluj [8]

C = Pi * d where C = circumference, d = diameter, r = radius

C = 2*pi *r

we need to watch the units since they are different

Pool A

C = 2 * pi * r

C = 2 * pi * 12 = 24 * pi in feet

Pool B

C = pi * d

change meters to feet

7.5 m * 3.28 ft/ 1 m = 24.6 ft

C = pi * 24.6 = 24.6* pi in ft

Pool B had a greater circumference

24.6 * pi > 24 pi

6 0

2 years ago