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Answer:

The answer is below

Step-by-step explanation:

The question is not complete, But I would show how to solve the problem

The area of a sector of a circle with radius r and a subtended central angle  θ in degree has an area of:

Area = [tex]\frac{\theta}{360}*\pi r^2[/tex]

Where θ is in degrees.

If the central angle is in radian, then the area of the sector is given as:

[tex]Area=\frac{\theta}{2\pi}*\pi r^2\\ Area=\frac{\theta}{2}* r^2[/tex]

Let us assume A circle has a radius of 2.5 mm a sector of the circle has a central angle of 4 pi/3 radians.

Therefore the radius (r) = 2.5 mm and the central angle (θ) = 4π/3

Therefore:

[tex]Area=\frac{\theta}{2}*r^2\\ \\Area=\frac{\frac{4\pi}{3} }{2} *2.5^2=13.1\ mm^2\\[/tex]

Answer:

9.5

Step-by-step explanation:

The formula for interquartile range = Third Quartile - 1st Quartile

= Q3 - Q1

Looking at the histogram given, the class width = 6

Step 1

We find the number of values = n

n = 1 + 12 + 26 + 27 + 31 + 19 + 6 + 1

= 123

Frequency Cumulative Frequency

1 1

12 13

26 39

27 66

31 97

19 116

6 122

1 123

Step 2

We find Q1 ( First Quartile)

Q1 =1/4 (n + 1) value

Q1 = 1/4(124) value

= 31st value

The first Quartile = 31st value

31 - 13 = 18

31st value = 12 + (18/26 × class width)

= 12 +( 18/26 × 6)

First Quartile = 16.153846154

Third Quartile =Q3 =3/4 (n + 1) value

Q1 = 3/4(124) value

= 93rd value

The first Quartile = 93rd value

93 - 66 = 27

93rd value = 1 + (27/97 × class width)

=24 +( 27/97 × 6)

Third Quartile= 25.670103093

Interquartile range = Q3 - Q1

= 25.670103093 - 16.153846154

= 9.5162569392

Approximately = 9.5

Inter Quartile range = 9.5

Answer:

i think it should be no solution

Answer:

X=5/2

Step-by-step explanation:

Multiply both sides by 12 since it is the lcm

[tex] 4 \times 2x - 6x = 5 \\ 2x = 5 \\ x = \frac{5}{2} [/tex]

Answer:

point B

Step-by-step explanation:

the lines intersect at that point

Answer:

Step-by-step explanation:

[tex]\frac{\left(-5\right)^5}{\left(-5\right)^{-6}}\\\\\mathrm{Apply\:exponent\:rule}:\\\quad \frac{x^a}{x^b}=x^{a-b}\\\\\frac{\left(-5\right)^5}{\left(-5\right)^{-6}}=\left(-5\right)^{5-\left(-6\right)}\\\\=\left(-5\right)^{5-\left(-6\right)}\\\\=\left(-5\right)^{5+6}\\\\=\left(-5\right)^{11}\\\\=-5^{11}[/tex]

Answer:

1.5 cups of sugar

Step-by-step explanation:

4/2=2

2 dozens of cookie uses 1 cup of sugar.

3/2=1.5

3dozens  of cookie needs 1.5 cup of sugar.

Answer:

176

Step-by-step explanation:

14x12 = 168 + 8 = 176

There are 176 inches in 14 feet, 8 inches.

To find the total number of inches in 14 feet, 8 inches, we need to convert the feet to inches and then add the inches.

So, 14 feet =  14 x 12

= 168 inches.

Adding the extra 8 inches, the total is:

= 168 inches + 8 inches

= 176 inches.

Therefore, there are 176 inches in 14 feet, 8 inches.

Learn more about Unit Conversion here:

https://brainly.com/question/28600662

#SPJ6

Answer:

9.5

Step-by-step explanation:

5/(a+3)=3/(a-2)

5(a-2)=3(a+3)

5a-10=3a+9

5a-3a=9+10

2a=19

a=9.5

M

1, 4 and 7 angles are congruent to 56°

hope this helps ^-^

Answer:

$34,230

Step-by-step explanation:

Total Salary = Base Salary + Increase

Total Salary = 32600 + (32600)(0.05)

Total Salary = $34,230

Answer:-23/5

Step-by-step explanation:

-3/5-8/2

-3/5-4

-3+20/5

-23/5

Answer:

-23/5

Step-by-step explanation:

-3/5 + - 8/2

Find the least common multiple of 5 and 2.

That would be 10.

That means we have to multiply the first fraction by 2/2 and the second one by 5/5

-3/5*2/2

Multiply the numerators together and the denominators together.

-6/10

Repeat with the second fraction.

-8/2*5/5

-40/10

Our new expression is

-6/10+-40/10

-46/10

Simplify

-23/5

As a mixed number that would be:

-4 3/5

Steps to solve:

-k - (3k - 6n) + 2n; k = -3, n = -5

~Substitute and simplify

-(-3) - (3(-3) - 6(-5)) + 2(-5)

3 - (-9 + 30)) - 10

~Use PEMDAS and solve the rest.

3 - 21 - 10

-18 - 10

-28

Best of Luck!

Answer:

the answer is -22

Step-by-step explanation:

-k -(3k - 6n) + 2n  

when k = -3  &  n = -5

substitute the values of k and n

-(-3) -[3(-5) - 6(-5)] + 2(-5)

3 - [-15 - (-30)] + (-10 )

3 - ( -15 + 30 ) - 10

3 - 15 - 10

-12 - 10

-22

hope this helps  （＾▽＾）

Answer:

a3= -343

divade both side by 3 to make a the subject

a3/3= -343/3

a = -114.3

Answer:

9 1/6

Step-by-step explanation:

Add the whole numbers: 5+8

Combine the fractions by making their denominator the same: 7/6

Add 6/6 = 1 so add to the whole numbers to make this a mixed fraction.

Answer:

9 1/6

Step-by-step explanation:

5 2/3 + 3 1/2 =

We need to get a common denominator of 6

5 2/3 *2/2 = 5 4/6

3 1/2 *3/3 = 3 3/6

5 4/6 + 3 3/6

8 7/6

8+ 6/6 + 1/6

8 + 1 + 1/6

9 1/6

Answer:

the answer to the promblem is 521,000

Answer:

522,000

Step-by-step  

If the number is 5 you let it go up if its below you let it go down.

Answer:

y = 2x+1

Step-by-step explanation:

[tex]2y =4x+8\\\\ Write \:in \: y =mx+b \:form\\\\\frac{2y}{2} = \frac{4x}{2} +\frac{8}{2} \\\\y =2x +4\\m =2\\(1,3) =(x_1,y_1)\\Substitute\:values\:into\:point-slope\:form\\\\y-y_1=m(x-x_1)\\y-3=2(x-1)\\y-3 = 2x-2\\y=2x-2+3\\y =2x+1[/tex]

Step-by-step explanation:

Hey, there!!

Here, the given point is (1,3).

Now, Using one point formula we need to find the equation of the line passing through point (1,3).

Now,

[tex](y - y1) = m1(x - x1)[/tex]

Keeping values,

[tex](y - 3) = m1(x - 1)[/tex]

It is the 1st equation.

Similary, you have another equation,

2y = 4x + 8..............2nd equation.

or, 4x - 2y +8 =0

M2 from equation 2,

[tex] = \frac{ - coeff. \: of \: x}{coeff. \: of \: y} [/tex]

[tex] = \frac{ - 4}{ - 2} [/tex]

Therefore, m2 = 2

Now,

As per the condition of parallel lines,

m1 = m2 = 2

Now, substituting the value of m1 in equation 1st.

(y-3) = 2 (x-1)

y-3 = 2x - 2

or, 2x-y+1 = 0 ......is the required equation.

Hope it helps...

Answer:

Step-by-step explanation:

Hydrogen

Answer:

Hydrogen

Step-by-step explanation:

Look at the periodic table.

Also, has the lowest attomic number.

Answer:

m1 - 120

m2 - 60

m3 - 60

m4 - 60

m5 - 30

A triangle is 180 degrees. An equilateral triange's angles are all the same.

Answer:

no solution

Step-by-step explanation:

For the equation to be equal, the argument of the logarithms on both sides of the equation must be equal.

2 x + 1 = x − 1

Solve for  

x .

x = − 2

Exclude the solutions that do not make  

log ( 2x + 1 ) = log

( x − 1 )  true.

No solution

Answer:

You need a protractor to measure each angle otherwise you can't really assume each angle because it won't be accurate

Answer:

12.385; (10.0, 14.7)

Step-by-step explanation:

Given the following information :

Temperature, x 72 85 91 90 88 98 75 100 80

Number of absences, y 3 7 10 10 8 15 4 15 5

The obtained regression equation:

y= 0.449x - 30.27

Where y = predicted variable ; x = independent variable ; - 30.27 = intercept and slope = 0.449

Constructing a 95% prediction interval for y:

x = 95°

Inputting x = 95 into the regression equation :

y= 0.449(95) - 30.27

y = 42.655−30.27 = 12.385

Prediction interval = y ± error margin

To save computing time, error margin (E) can be obtained using the online error margin calculator.

Obtained error margin (E) value = 2.3398

(12.385 - 2.3398, 12.385 + 2.3398)

(10.0452, 14.7248)

(10.0, 14.7)

Answer:

he would need about 16 weeks

Answer:

1-72: Estimate- 15 weeks

        Actual- $125/$7.75= 16.13 weeks.

1-73: 3 feet long=36 inch board

        6 feet long=72 inch board

        12 feet long = 144 inch board

1-74: a. 100, 50, 60, 40, 20, 0

        b. 75, 60, 45, 30, 15, 0

        c. 125, 100, 75, 50, 25, 0

        d. 250, 200, 150, 100, 0

Answer: a

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

4×4×3=48

4 comes out.

a - never comes out of radical and stays in the radical with 3.

the simplest way I could explain

Answer: OPTION 3

Step-by-step explanation:

First of all, you need to know the concept of imaginary number or i.

i (imaginary number)=√-1

-----------------------------------------------

√-48=√16 × √3 × √-1 ⇔ This splitting is just help you to understand better.

√16=4 ⇔ This is a perfect square

√3=√3 ⇔ Nothing to change

√-1=i ⇔ imaginary number as mentioned before.

√-48=√16 × √3 × √-1

√-48=4 × √3 × i

√-48=4i√3

Answer:

16yyyy

Step-by-step explanation:

Getting rid of exponents:

Step-by-step explanation:

(-2y)^4

= (-2) ^4 ( y) ^4

= (16) (yyyy)

= 16yyyy

Answer:

if the number is 5 or higher, you round up.

if the number is 4 or lower, you round down.

96.57 → 96.6

96.53 → 96.5

In the data set below, what is the variance?

6 7 2 1 8 29

s^ 2  ≈  105.368