The circle shown below has a diameter of 12 centimeters. What is the
approximate area of the shaded sector?
310*
OA. 390 cm²
OB. 102 cm²
C. 97 cm²
OD. 226 cm2

Answer: 5

Step-by-step explanation: edge 2021

You can use the constant which if multiplied with the coefficient of x in first equation, ends up making it negative and of equal magnitude to the coefficient of x variable in second equation.

The first equation should be multiplied by the constant 5

This method is actually called method of elimination to solve a system of linear equations.

We make one specific variable's coefficients of equal magnitude so that we can subtract or add the equations and eliminate that variable to make it easy to get the value of the other variable which will then help in getting the value of the first variable (if working in dual variable system).

If we have equations:

[tex]a_1x + b_1y = c_1\\a_2 x + b_2y = c_2\\[/tex]

then, if we want to eliminate variable x, then we have to multiply equation 1 with [tex]-\dfrac{a_2}{a_1}[/tex] which will make coefficient of x in first equation as  [tex]a_1 \times -\dfrac{a_2}{a_1} = -a_1[/tex]

Then adding both equation will eliminate the variable x.

We could've skipped that -ve sign and at then end, instead of adding, we could've subtracted the equations.

The system of equation we've got is

[tex]\dfrac{2}{5}x + 6y = -10\\\\-2x -2y = 40[/tex]

Thus, we have the constant needed = [tex]-\dfrac{a_2}{a_1} = -\dfrac{-2}{2/5} = 5[/tex]

The resultant system of equation we will get is:

[tex]2x + 30y = -50\\\\-2x -2y = 40[/tex]

Thus,

The first equation should be multiplied by the constant 5

Learn more about system of linear equations here:

https://brainly.com/question/13722693

Answer:

How to Write Out USD 500.2 Dollars in Words: five hundred dollars and twenty cents.

I count on the best

Answer:

I suppose that the inequality is:

(1/11)*c > 9.

To solve this we need to isolate c in one side of the inequality.

To isolate it, we need to multiply both sides by 11, then we get:

11*(1/11)*c > 9*11

c > 9*11 = 99

c > 99.

To graph this, we will have an open dot at c = 99, and an arrow that points to the right direction.

The graph is shown below.

Answer:

hi may u send a pic?

Step-by-step explanation:

Answer: 24

Step-by-step explanation:

With every number starting with 2 count the number line up it doesn't past 5 or on 5 so it's not 5. It's past 4 so whats your answer?

Answer:

Step-by-step explanation:

I assume you want to simplify this.

Use distributive property:

x^2+4x−32 should be your answer.

Answer:

x^2+4x-32

Step-by-step explanation:

(x-4)(x+8)=x^2+8x-4x-32

x^2+4x-32

Answer:

b

Step-by-step explanation:

because those two triangles are face to face

Answer:

sorry do not know

Step-by-step explanation:

.

Answer:

9x² - 9x +2

Step-by-step explanation:

general formula =x²-(sum of roots)x+(product of roots)

hope this helps!!                        

mark me brainlist? this took a lil bit

Answer:

The answer is b, c, d and e

Answer:

119°

Step-by-step explanation:

It’s 119.  You don’t need to solve for h.

Answer:

f(2) = 0 and f(6) = -4

Step-by-step explanation:

First, find f(x) when x = 2

Plug in 2 as x in the function:

f(x) = -(x - 2)​

f(2) = -(2 - 2)

f(2) = -(0)

f(2) = 0

Next, find f(x) when x = 6. Plug in 6 as x in the function:

f(x) = -(x - 2)​

f(6) = -(6 - 2)

f(6) = -(4)

f(6) = -4

So, f(2) = 0 and f(6) = -4

Answer:

20%

Step-by-step explanation:

im not really good at percentages but from what i know you first make it a fraction by adding all the numbers together to get 55(denominator). then for the numerator you take the section that they want(11). 11/55 is equal to 20/100(divide 100 by 55 and multiply the quotient by 11 to get 20). 20/100 is 20%. hope this kinda helps.

The volume πr^2*height/3=1471

π*r^2=1471/9*3

π*r^2=490.33(I'm rounding all my numbers to the hundredths digit)

r^2=490.33/3.14(taking 3.14 for pi)=about 156.16

r= sqrt 156.16=about 12.5

Again this answer is not precise but I rounded everything to the hundredths digit because pi is never ending. I hope it helped!

Answer:

A. [tex] 96\pi \: cu. \: units[/tex]

Step-by-step explanation:

Radius of cone (r) = 4 units

Height of cone (h) = 18 units

[tex]V_{cone} = \frac{1}{3} \pi {r}^{2}h \\ \\ = \frac{1}{3} \pi {(4)}^{2} \times 18 \\ \\ = \pi {(4)}^{2} \times 6 \\ \\ = 16\pi \times 6 \\ \\ V_{cone} = 96\pi \: {units}^{3} [/tex]

Answer:

x = 12

y = 4.5

Step-by-step explanation:

Since ∆FGH ~ ∆KLJ, therefore, we would have the following proportion:

[tex] \frac{FG}{KL} = \frac{GH}{LJ} = \frac{FH}{KJ} [/tex]

[tex] \frac{9}{y} = \frac{x}{6} = \frac{6}{3} [/tex]

✔️Let's solve for x using:

[tex] \frac{x}{6} = \frac{6}{3} [/tex]

Multiply both sides by 6

[tex] \frac{x}{6}*6 = \frac{6}{3}*6 [/tex]

[tex] x = \frac{6*6}{3} [/tex]

[tex] x = 12 [/tex]

✔️Solve for y using:

[tex] \frac{9}{y} = \frac{6}{3} [/tex]

Cross multiply

[tex] y*6 = 3*9 [/tex]

6y = 27

y = 27/6

y = 4.5

Answer:

12

ignore this i have to put words in to give u the answer

Answer:

-6 (this is easy math)

Answer:

t=12

Step-by-step explanation:

5t / 4 = 18 - 3

5t / 4 = 15

5t = 15 x 4

5t = 60

t = 12

Hope that helps!

Answer t is 12

Step by step explanantion

Answer:

solution: x=6

Step-by-step explanation:

8(2x-14)+13=4x-27

next, distribute 8 through the parentheses

16x-112+13=4x-27

calculate the sum

16x-99=4x-27

move the variable to the left-hand side and change it's sign

16x-4x-99=-27

move the constant to the right-hand side and change it's sign

16x-4x=-27+99

collect like terms

12x= -27+99

calculate the sum

12x=72

divide both sides of the equation by 12

x=6

final solution: x=6

The domain is (-infinity,1)(1, infinity) or {x|X=/1} the dash goes through the equal sign

the formula may be h^2x h squared x for expanding using sum/difference

Answer:

x = 155

Step-by-step explanation:

First find the missing angle in the smaller triangle.

We know that the sum of the angles in a triangle is 180 so 35 + 90 + the missing angle = 180 so 180 - (35+90) = 180 - 125 = 55

Since the line above is a straight line, the sum of the angles must equal 180 so 55 + 60 + ? = 180. So 180 - 115 = 65.

The triangle is a right triangle so that means on of the angles is 90. So 65 + 90 = 155, so we have 180 - 155 = 25.

The angle that x is on is also a straight line so that means the angles must add up to 180 so 180 - 25 = 155.

Answer:

2/3<9/10; I used 3/4 as a benchmark.

Step-by-step explanation:

2/3<1/2; I used 1/2 as a benchmark.

2/3 = 0.(20/3) = 0.667

1/2 = 0.(10/2) = 0.5

So this is wrong, as 0.667 > 0.5.

1/2=3/5; I used 1/4 as a benchmark.

1/2 = 0.(10/2) = 0.5

3/5 = 0.(30/5) = 0.6

0.5 != 0.6, so this is wrong.

2/3<9/10; I used 3/4 as a benchmark.

2/3 = 0.(20/3) = 0.667

9/10 = 0.(90/10) = 0.9

So this is correct, as 0.667 < 0.9

3/4<2/3; I used 1/2 as a benchmark.

3/4 = 0.(30/4) = 0.75

2/3 = 0.(20/3) = 0.667

0.75 > 0.667, so this is wrong.

Answer:  Nothing or 0

9514 1404 393

Answer:

  (c)  $4,083.84

Step-by-step explanation:

The amount due is ...

  A = P(1 +rt)

where P is the amount borrowed, r is the annual rate, and t is the number of years. For "exact interest", we use 365 days in a year, so the number of years is 90/365.

  A = $4000(1 + 0.085×90/365) ≈ $4083.84

Juan's loan will have a value of $4083.84 at maturity.

Answer:

4008.5

Step-by-step explanation:

Answer:

16.67%

Step-by-step explanation:

part: 400

percent: x

whole: 2,400

400=x(2,400)

divide both sides by 2,400 to get .1666

.1666=x

move the decimal inwards two times to make it a percentage, and round up the last didget

16.67%

Answer:

Thus out of 16 numbers which are multiples of 6 increased or decreased by 1,five numbers namely, 169, 175, 155, 185, and 187 are composite numbers. Thus we have 11 prime numbers between 150 and 200. We know 2,3, and 5 are prime numbers. Similarly 11, 13, 17, 19 are prime numbers

hope it helps you

please mark me as brainlist

Answer:

1. Mean = r bar = 0.0154mm

Standard deviation = 0.0009096

2. Proportion of rework produced = 30ppm or 0.0003%

Proportion of scrap = 60ppm or 0.0006%

3 recommended value = 0.3000

Step-by-step explanation:

The mean = x bar = 0.3015mm

Standard deviation = r bar/d2

R bar = 0.0154 mm

d2 = 1.693mm

= 0.0154mm/1.693mm

= 0.0009096mm

B. Lower specification 0.295

P(x<0.295)

= ϕ(0.295-0.3015/0.0009096)

This gives us 0.00003

So we conclude that 30 ppm or 0.0003% of the parts produced by the process would be reworked

For scrap,

X>0.305 upper specifications

1-ϕ(0.305-0.3015/0.0009096)

= 1-0.99994

= 0.00006

So we conclude that 60 ppm or 0.0006% of the parts produced by the process would be scrapped.

c. to get the recommended value of the process mean

= (0.305+0.295)/2

= 0.6/2

= 0.3000

the recommended value would be 0.3000

Answer:

D.  The amount of fabric needed for each pair of shorts

Step-by-step explanation:

i just did the quiz

Answer:

the amount of fabric needed for each pair of shorts or D

Step-by-step explanation:

Answer:

330

Step-by-step explanation:

A=a + b / 2 x h

a = 24, b = 20, h = 15

24 + 20 divided by 2 times 15

44 divided by 2 time 15

22 times 15 = 330