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3 years ago

In a circle whose radius is 12, find the area of sector, in terms of , whose central angle

Mathematics

1 answer:

Anna11 [10]3 years ago

4 0

Answer:

56.52 units² or 18π units²

Step-by-step explanation:

The formula for the area of a sector is:

A = πr²(x/360°)

where r is the radius and x is the measure of the central angle

Let's substitute the given measures into this equation:

A = πr²(x/360°)

A = (3.14)(12²)(45/360)

Solve:

A = (3.14)(12²)(45/360)

A = (3.14)(144)(45/360)

A = (452.16)(45/360)

A = (452.16)(.125)

A = 56.52

Therefore, the area of the sector is 56.52 units² or 18π units²

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Robert climbed 775 steps in 12 1/2 minutes. How many steps did he average per minute?

MA_775_DIABLO [31]

To find the rate, divide the number divided by the amount of minutes. So 775 divided by 12.5 which is 62.

62 steps per minute

7 0

3 years ago

Read 2 more answers

Heights (cm) and weights (kg) are measured for 100 randomly selected adult males, and range from heights of 139 to 192 cm and

Bumek [7]

Answer:

The weight of an adult male who is 158 cm tall is 59.32 kg.

Step-by-step explanation:

The regression equation representing the relationship between height and weight of a person is:

$\hat y=-105+1.04 x$

Here,

y = weight of a person (in kg)

x = height of a person (in cm)

The information provided is:

$\bar x=167.77\ \text{cm}\\\bar y=81.54\ \text{cm}\\r(X, Y)=0.201\\p-value=0.045$

The significance level of the test is, α = 0.01.

The hypothesis to test the significance of the correlation between height and weight is:

H₀: There is no relationship between the height and weight, i.e. ρ = 0.

Hₐ: There is a relationship between the height and weight, i.e. ρ ≠ 0.

Decision rule:

If the p-value of the test is less than the significance level, then the null hypothesis will be rejected and vice-versa.

According to information provided:

p-value = 0.045 > 0.01

The null hypothesis will not be rejected at 1% level of significance.

Thus, concluding that there is no relationship between the height and weight.

Compute the weight of an adult male with height, x = 158 cm as follows:

$\hat y=-105+1.04 x$

$=-105+(1.04\times 158)\\=-105+164.32\\=59.32$

Thus, the weight of an adult male who is 158 cm tall is 59.32 kg.

6 0

3 years ago

Suppose that a computer software company has 30

LekaFEV [45]

Answer: $\dfrac{30!}{6!(24)!}$

Step-by-step explanation:

Given : The total number of programmers in the company = 30

The company wants to select a group of 6 programmers to work on a particular project.

Since the order of selecting them does not matters , therefore we use combinations.

The number of combinations of r things taken from n things is given by :-

$^nC_r=\dfrac{n!}{r!(n-r)!}$

here, n= 30 and r= 6

So the number of different ways to form they could select a group of 6 would be $^{30}C_{6}=\dfrac{30!}{6!(30-6)!}$

$=\dfrac{30!}{6!(24)!}\\\\=\dfrac{30\times29\times28\times27\times26\times25\times24!}{(720)24!}=593775$

i.e. Total ways =593775

In terms of factorials , the number of total ways to form they could select a group of 6 is $\dfrac{30!}{6!(24)!}$ .

7 0

3 years ago

4 people figured out how to share 3 oatmeal squares

IRINA_888 [86]

The answer is 4 times 3=12

8 0

3 years ago

Help ASAP please ! Explain too for brainlist

musickatia [10]

Answer:

Ok so im not the best at explaining but its worth a shot

C)25

Step-by-step explanation:

we already know that the formula to find area is

A=l*w

and that every square is 1 square unit.

So in the first part on the far left, you count down 8 and over 2 to find how many total squares are shaded. This is the length and width of that one part so you multiply 8*2 to get 16.

In the next part, you should count starting at -1 over to 5 to get 6. It only has a width of 1 so 6*1 is still 6.

In the last part you start counting at -3 and count down to -6 and this gives you 3. It is 1 unit wide so 3*1 is 3.

Add 16+6+3 together because that is the combined area of the 3 parts and we get 25

Like i said im definitely, by no means, the best at explaining but if this helped even a little that's awesome, if you have any particular questions i can try to answer them in the comments

7 0

3 years ago