Find the area of the circle.
Use 3.14 for n. Do not round your answer.
Hint: A = tir2
3 in.
Area = [?] inches?
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belongs in the green box.
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Pls someone help

the axis of symmetry is x=2

Answer:

C.

Step-by-step explanation:

[tex]{ \tt{(8x + 3) + (2x + 7) = 180 \degree}} \\ { \tt{10x + 10 = 180}} \\ { \tt{10x = 170}} \\ { \tt{x = 17}}[/tex]

[tex]{ \bf{ \angle Q = (2x + 7)}} \\ { \bf{ \angle Q = (2 \times 17) + 7}} \\ { \bf{ \angle Q =41 \degree }}[/tex]

Answer: No slope / undefined

Step-by-step explanation:

Concept:

Here, we need to know the idea of a slope.

The slope is the measure of the steepness of a line.

The basic formula of slope is [Rise / Run] which is basically [Y] value (vertical) over [X] value (horizontal)

If you are still confused, please refer to the attachment below for the full formula.

Solve:

(7 ,1)

(7, -2)

Slope = (1 - (-2)) / (7-7)

Slope = (3) / 0

Slope = Undefined

Indeed, it is a vertical line. By definition, a vertical line has no slope.

Hope this helps!! :)

Please let me know if you have any questions or need further explanations

Answer:

12.496

Step-by-step explanation:

a=10 (first term)

r= 1/5 (common ratio)

sum of first five terms

[tex] s_{5} = \frac{a( 1 - {r}^{n} ) }{1- r} [/tex]

=10{1-⅕⁵} ÷ 1-⅕

=10{1 - 1/3125} ÷ 4/5

=10{3124/3125} ÷ 4/5

=9.9968÷0.8

=12.496.

OR

a+ar+ar²+ar³+ar⁴

=10+(10x⅕)+(10x⅕²)+(10x⅕³)+(10x⅕⁴)

=10+2+0.4+0.08+0.016

=12+0.48+0.016

=12.496

Answer:

Measure of the unknown angle is 21°.

Step-by-step explanation:

In the given question,

Measure of opposite side and the measure of hypotenuse have been given.

Therefore, we will use the trigonometric ratio for the unknown angle which has the ratio of opposite side and the hypotenuse.

[tex]\text{sin}\theta=\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

      [tex]=\frac{13}{36}[/tex]

      [tex]=0.36111[/tex]

[tex]\theta \approx \text{sin}^{-1}(0.36111)[/tex]

[tex]\theta \approx 21.17[/tex]

[tex]\theta \approx 21^{\circ}[/tex]

Therefore, measure of the unknown angle is 21°.

Answer:

∠9 and ∠12

Step-by-step explanation:

Supplementary angles are two angles that add up to 180. Looking at all the answer choices, A, C, and D have either Big-Big angle or Small-Small angle. What we need is Big-Small angle that is next to eachother, which is ∠9 and ∠12.

Hope this helped.

(Also sorry!)

Answer:

7) 12,000

8) 0.0004253

9) -11/6 < x < -2/3

10) all possible numbers

Answer:

6

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

The part timer works 5 hours a day

the difference between the part timer and fill time is 2

5+2=7

Answer:

x = 0, π/3, 2π/3,  π,  4π/3,  5π/3

Step-by-step explanation:

4cos^4(x) – 5cos^2(x) + 1 = 0

(4cos^2(x) - 1)(cos^2(x) - 1) = 0

When 4cos^2(x) - 1 = 0

cos^2(x) = 1/4

cos x = +/-1/2

so x = π/3, 2π/3, 4π/3, 5π/3.

When cos^2x - 1 = 0

cos x = +/- 1

x =  0, π.

x

The solution is : x = 0, π/3, 2π/3,  π,  4π/3,  5π/3

Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.

here, we have,

given that,

4cos^4(x) – 5cos^2(x) + 1 = 0 from [0, 2π)

so, we get,

4cos^4(x) – 5cos^2(x) + 1 = 0

(4cos^2(x) - 1)(cos^2(x) - 1) = 0

When 4cos^2(x) - 1 = 0

cos^2(x) = 1/4

cos x = +/-1/2

so x = π/3, 2π/3, 4π/3, 5π/3.

When cos^2x - 1 = 0

cos x = +/- 1

x =  0, π.

Hence, The solution is : x = 0, π/3, 2π/3,  π,  4π/3,  5π/3.

To learn more on simplification click:

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Answer:

72 ml

Step-by-step explanation:

Let

x = amount of water that should be added

45% acid solution = 45/100 = 0.45

25% acid solution = 25/100 = 0.25

The equation is

90(0.45) = 0.25(x + 90)

40.5 = 0.25x + 22.5

40.5 - 22.5 = 0.25x

18 = 0.25x

Divide both sides by 0.25

x = 18/0.25

= 72

x = 72 ml

Answer:

B: 8

Step-by-step explanation:

we are given two numbers which we can use to help solve this problem

A: the number of hours the dishwasher is being used

B: how long it takes the dishwasher to do each load

using this info we can find how many loads were washed in 10 hours by dividing the time it takes for each load by how many hours were spent.

10 / 1.25 = 8

Answer:

The equation is:

y=5x-2

Answer:

write -3+6^x

Step-by-step explanation:

ur answer is true actually just don't write 'y='

Answer:

Step-by-step explanation:

Answer:

78

Correct term:60

Step-by-step explanation:

We are given that

[tex]\frac{4x^4-6x^3+6x+3}{x-3}[/tex]

The quotient of this expression is given by

[tex]4x^3+6x^2+18x+78+\frac{183}{x-3}[/tex]

We have to find the term in this expression  which contains an error.

[tex]\frac{4x^4-6x^3+6x+3}{x-3}[/tex]

The quotient of this expression is given by

[tex]=4x^3+6x^2+18x+60[/tex]

[tex]Dividend=Divisor\times quotient+ remainder[/tex]

Using the formula

[tex]4x^4-6x^3+6x+3=(x-3)(4x^3+6x^2+18x+60)+\frac{183}{x-3}[/tex]

We can see that in the given expression there is 60 in place of 78.

The error in the expression of quotient is 78.

Correct term is 60.

Answer:

D

Step-by-step explanation:

(5√2 - 4√3)^2 =

50 + 48 - 40√6 = 98 - 40√6

The rate of change of the amount earned with respect to hours worked for this function is D. 13 dollars per hour.

The rate of change for the point defined on the graph can be deduced by calculating the ratio of the difference between the two coordinate points given, similar to calculating the gradient or slope :

Point a = (5, 65) = (x₂, y₂)

Point b = (2, 26) = (x₁, y₁)

Calculating the gradient or slope :

Rate of change = (y₂ - y₁) / (x₂ - x₁)

Rate of change = (65 - 26) / (5 - 2)

Rate of change = 39 / 3

Rate= 13 dollars per hour

Learn more about rate of change on:

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Complete question

The graph shows the amount of money Miguel earns after working x hours. What is the rate of change of the amount earned with respect to hours worked for this function? hours per dollar hours per dollar 3 dollars per hour 13 dollars per hour

Answer:

Every parabola has a turning point called the axis of symmetry,so for this question you just have to find the turning points

x turning point= -b/2a,and the y turning point is gotten by replacing the value of x in the equation

y=(x+1)(x-4)

=x^2-3x-4

a is 1,b is -3 and c is -4

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

=1.5

and y=x^2-3x-4

=1.5^2-3(1.5)-4

= -6.25

therefore the axis of symmetry is (1.5,-6.25)

I hope this helps

Answer: 20

Step-by-step explanation:

X - 8 = 12

+ 8 +8

X = 20

20 gallons were in the tub to start with

Answer:

y = 1/(x+1)   -5

X cannot be -1 because the denominator would go to zero

Step-by-step explanation:

f(x) = 1/(x+5) -1

y =  1/(x+5) -1

Exchange x and y and solve for y

x =  1/(y+5) -1

x+1 = 1/(y+5)

Multiply by (y+5)

(x+1) (y+5) = 1

Divide by (x+1)

y+5 = 1/(x+1)

Subtract 5

y = 1/(x+1)   -5

X cannot be -1 because the denominator would go to zero

here's the answer to your question

Answer:

185 is the square root of 34225

Step-by-step explanation:

hope you understood!!

Answer:

E. is not a polynomial

Step-by-step explanation:

Because the degree of x is 2/5 which is not a polynomial.

Answer:

hmmm....

I don't think any of them are ????

[tex]\sqrt{2} = 2 ^{1/2}[/tex] that is a exponent that is a fraction ......

it appears that all the answers have fractional exponents, negative exponents, or divide by a variable??

Step-by-step explanation:

Polynomials cannot contain division by a variable.

For example, 2y2+7x/4 is a polynomial because 4 is not a variable. However, 2y2+7x/(1+x) is not a polynomial as it contains division by a variable.

Polynomials cannot contain negative exponents.

You cannot have 2y-2+7x-4. Negative exponents are a form of division by a variable (to make the negative exponent positive, you have to divide.) For example, x-3 is the same thing as 1/x3.

Polynomials cannot contain fractional exponents.

Terms containing fractional exponents (such as 3x+2y1/2-1) are not considered polynomials.

Answer:

6[tex]\sqrt{3}[/tex]

Step-by-step explanation:

we use Euclidian theorem to find n

n^2 = 6*18

n^2 = 108

n = 6[tex]\sqrt{3}[/tex]

Answer:

l = 14.6 m

b = 53.4 m

Step-by-step explanation:

Let breadth be x

Let lenght be 4x-5

so,

perimeter = 2(l+b)

136 = 2(4x-5+x)

or, 136 = 2(5x-5)

or, 136 = 10x - 10

or, 136 + 10 = 10x

or, 146 = 10x

or, x = 146/10

so, x = 14.6 m

so, breadth(x) = 14.6

so, lenght = 4x - 5

= (4×14.6)-5r

= 53.4m

Answer:

triangle EFD

Step-by-step explanation:

Answer:

4%

Step-by-step explanation:

Yearly salary = 9600 * 12 = Rs. 115200

Tax = Rs . 4530

[tex]Tax \ percent = \frac{4530}{115200}*100[/tex]

                    = 3.93 = 4%

A and B

I hoped it helped you

An exponential decay function goes down to the right, like in the picture attached.

An exponential function follows this format: [tex]y=ab^x[/tex], where b is less than 1 and more than 0. b is more than 0 but less than 1 in function A.