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Marat540 [252]
3 years ago
14

Shaded area is 40 pi cm squared. Find r

Mathematics
2 answers:
pychu [463]3 years ago
8 0

Answer:

A =\frac{x  \pi  r^{2} }{360}

Step-by-step explanation:

A = 40π

x is the angle of sector = 144°

r = ? unknown

 Substituting the values in formula

40π = 144° π r^{2} / 360°

On simplification we get

110 = r^{2}

r = 10.48cm

Igoryamba3 years ago
8 0

Answer: r = 10 cm

Step-by-step explanation:

The formula for determining the area of a sector is expressed as

expressed as

Area of sector = θ/360 × πr²

Where

θ represents the central angle.

r represents the radius of the circle.

π is a constant whose value is 3.14

From the information given,

θ = 144°

Area of sector = 40π

Therefore,

40π = 144/360 × π × r²

40π × 360 = 144 × π × r²

14400π = 144πr²

Dividing through by π, it becomes

1440 = 144r²

r² = 14400/144

r² = 100

r = √100

r = 10 cm

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Step-by-step explanation:

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2 years ago
Triangle GHI is rotated 90Degrees clockwise and then reflected over the y-axis. Which congruency statement is true?
lesya [120]

The congruency statement which is true among the answer choices is;

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<h3>Which congruency statement is true?</h3>

According to the task content, the initial transformation is; Triangle GHI is rotated 90Degrees clockwise and then reflected over the y-axis.

On this note, the congruency which are true regarding the transformation are;

  • On a coordinate plane, triangle G H I is rotated 90 degrees clockwise and then is reflected over the y-axis.
  • Triangle G H I is congruent to triangle G double-prime H double-prime I double-prime.

This follows from the fact that the transformation.does not involved dilation by means of a scale factor and hence, size remains equal and all angle measures remain the same.

Read more on triangle congruence;

brainly.com/question/2102943

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3 0
2 years ago
Driving 70 mph, it takes Alicia 2 hours to reach the airport to go on a vacation. It then takes her 2 hours to get to her destin
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4 0
3 years ago
In the following problem, check that it is appropriate to use the normal approximation to the binomial. Then use the normal dist
Tcecarenko [31]

Answer:

a. 0.7291

b. 0.9968

c. 0.7259

Step-by-step explanation:

a. np and n(1-p) can be calculated as:

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#Both np and np(1-p) are greater than 5, hence, normal approximation is most appropriate:

\mu_x=11.04\\\\\sigma^2=np(1-p)=0.48\times 0.52\times 23=5.7408

#Define Y:

Y~(11.04,5.7408)

P(X\leq 12)\approx P(Y\leq 12.5)\\\\P(Z\leq \frac{(12.5-11.04)}{\sqrt{5.7408}})=\\\\=1-0.2709\\\\=0.7291

Hence, the probability of 12 or fewer is 0.8291

b. The  probability that 5 or more fish were caught.

#Using normal approximation:

P(X \geq 5) \approx P(Y \geq 4.5) = P(Z \geq\frac{ (4.5-11.04)}{\sqrt{(5.7408)}})\\\\=1-0.0032\\\\=0.9968

Hence, the probability of catching 5+ is 0.9968

c. The probability of between 5 and 12 is calculated as;

-From b above P(X\geq 5)=0.9968 and a ,P(X\leq 12)=0.7291

P(5\leq X\leq 120\approx P(4.5\leq Y\leq  12.5)\\\\=0.7291-(1-0.9968)\\\\=0.7259

Hence, the probability of between 5 and 12 is 0.7259

4 0
3 years ago
Plss answer it please​
ch4aika [34]

Answer:

Use Microsoft Math solver

4 0
3 years ago
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