Question: Find the area of the orange shaded region in terms of pi.

Answer:

∠A = 30

Step-by-step explanation:

Look at attachment:

Hope this helps! :)

Answer:

3 and -2

Step-by-step explanation:

xy = -6

x + y = 1

let 'x' = y-1

y(y-1) = -6

y² - y + 6 = 0

(y-3)(y+2) = 0

y = 3 and -2

Answer:

Step-by-step explanation:

Answer:

12.16 years

Step-by-step explanation:

Continuous Compounding Formula

[tex]\large \text{$ \sf A=Pe^{rt} $}[/tex]

where:

Given:

Substitute the given values into the formula and solve for t:

[tex]\sf \implies 5000=2500e^{0.0570t}[/tex]

[tex]\sf \implies \dfrac{5000}{2500}=\dfrac{2500e^{0.0570t}}{2500}[/tex]

[tex]\sf \implies 2=e^{0.0570t}[/tex]

Take natural logs of both sides:

[tex]\sf \implies \ln 2=\ln e^{0.0570t}[/tex]

[tex]\textsf{Apply the power law}: \quad \ln x^n=n \ln x[/tex]

[tex]\sf \implies \ln 2=0.0570t\ln e[/tex]

As ln e = 1:

[tex]\sf \implies \ln 2=0.0570t[/tex]

[tex]\sf \implies \dfrac{\ln 2}{0.0570}=\dfrac{0.0570t}{0.0570}[/tex]

[tex]\sf \implies t=\dfrac{ \ln 2}{0.0570}[/tex]

[tex]\implies \sf t=12.16047685...[/tex]

Therefore, the time required for the amount to double is 12.16 years (2 d.p.).

Learn more about continuous compounding interest here:

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Answer:

Relative frequency of selecting a 2 = 8/50 = 0.16

Relative frequency of selecting a 3 = 14/50 = 0.28

Step-by-step explanation:

When we have a given experiment with given outcomes (such that each time that we perform the experiment, one outcome happens) the relative frequency of a given outcome is the quotient between the number of times that that outcome happened, and the total number of times that the experiment was performed.

Here the experiment is selecting a random number between 1 and 5, and it is performed 50 times.

Out of these 50 times, the outcome "2" appears 8 times.

Then the relative frequency of selecting the number 2 is:

f(2) = 8/50 = 0.16

And of these 50 experiments, the outcome "3" appears 14 times.

Then the relative frequency of selecting the number 3 is:

f(3) = 14/50  = 0.28

Answer:

3

Step-by-step explanation:

you are dividing by 3 each time

The number of coloured papers as per the given problem is 18.

A ratio is the relation between two numbers as a / b. A proportion is the equality of two ratios as a / b = c / d.

Ratio and proportion can be applied to solve Mathematical problems dealing with unit values of the quantities.

Given that,

The ratio of coloured papers to white papers is 3/8.

And, the number of white papers is 48.

Suppose, the number of coloured papers be x.

Then, as per the question the following equation can be obtained,

3/8 = x/48

=> x = 3/8 × 48

=> x = 18

Hence, the number of coloured papers is 18.

To know more about ratio and proportion click on,

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Answer:

3710.67 mm

Step-by-step explanation:

The formula is a^2 h/3

a = 22  h = 23

First, do 22 squared which is 484.

Now do 23 divided by 3 which is 7.666666667

Now multiply 484 and 7.666666667 together to get

3710.666667 or 3710.67 mm

Answer:

A) .8 x.6 = .48

Step-by-step explanation:

B, C, and D are all answered incorrect

Answer:

370

Step-by-step explanation:

Area of the entire thing is 20*20 = 400

You need to remove the triangle since it's not shaded, so find the area of the triangle and subtract it from the total (total = 400)

Area of triangle:

First find the height using pythagorean theorem

5*12 = 156

Then divide by two: 60/2= 30

400-30 = 370

The exact value of cot A will be 0.857.

The connection between the lengths and angles of a triangular shape is the subject of trigonometry.

The co-secant of angle A is √85 / 6. And that angle A is in Quadrant I.

Then the value of angle A will be

csc A = √85 / 6

1 / cos A = √85 / 6

cos A = 6 / √85

A = 49.4°

Then the exact value of cot A will be

cot A = cot 49.4°

cot A = 0.857

The exact value of cot A will be 0.857.

More about the trigonometry link is given below.

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Answer:

8

Step-by-step explanation:

6g = 48

/6 /6

divide 6 by both sides

g = 8

hope this helped!

Answer:

m=-4,-2

Step-by-step explanation:

Hi there!

What we need to know:

1) Rearrange the given equation into standard form

This will help us determine the a, b and c values.

[tex]m^2+6m=-8[/tex]

Add 8 to both sides

[tex]m^2+6m+8=0[/tex]

Now, we can see that a=1, b=6 and c=8.

2) Plug a, b and c into the quadratic formula

[tex]m=\frac{-b\pm\sqrt{b^2-4ac} }{2a}\\m=\frac{-6\pm\sqrt{6^2-4(1)(8)} }{2(1)}\\m=\frac{-6\pm\sqrt{4} }{2}\\m=\frac{-6\pm2 }{2}\\m=-3\pm1 \\m=-4,-2[/tex]

I hope this helps!

Answer:

I think the answer to your question is 12?

Step-by-step explanation:

I hope this helps, have a nice day

Answer: 40%

Step-by-step explanation:

I took the k12 test lol

Answer:

The correct answer is "4.5 liters". A further explanation is provided below.

Step-by-step explanation:

Let the solution needed be "x".

then, according to the question,

⇒ [tex]4 \ percent(9)+10 \ percent(x)=6 \ percent(9+x)[/tex]

By solving the above expression, we get

⇒ [tex]0.04\times 9+0.1x=0.06\times 9+0,06\times x[/tex]

⇒                [tex]0.04 x=0.54-0.36[/tex]

⇒                [tex]0.04x=0.18[/tex]

⇒                      [tex]x=\frac{0.18}{0.04}[/tex]

⇒                         [tex]=4.5 \ liters[/tex]

Answer:

x <-2

Step-by-step explanation:

-3x+6>12

Subtract 6 from each side

-3x+6-6>12-6

-3x> 6

Divide each side by -3, remembering to flip the inequality

-3x/-3 < 6/-3

x <-2

Answer:

About 64 Miles

Step-by-step explanation:

I think you just divide the miles by minutes which is about 1.06 then x 60 = 64

Answer:

i don't understand your question, but i'll try to the best of my ability.

the answer to that is:

-8.33333333333

Step-by-step explanation:

let me break this down into a way you might understand.

1: 3-1=2

2: 2 divided by 3=0.66666666666.

3: i don't know if the "< 6;n>", was meant to be in the equation, so i just added the rest of it up.

if that's not right let me know. i'm pretty clueless sometimes, and this might just be a higher level of math that i don't know.

you're welcome though, (i suppose..) and have a great day.

Answer:

The anwser is 40.82

Step-by-step explanation:

Pie times radius

Answer:

[tex] \large{ \tt{☄ \: STEP - BY- STEP \: EXPLANATION}} : [/tex]

[tex] \large{ \tt{✎ \: LET'S \: START} }: [/tex]

[tex] \boxed{ \large{ \tt{❃ \: Circumference \: of \: a \: circle = \pi \: d}}}[/tex]

- Plug the given values & Multiply 3.142 by 13

[tex] \large{ \tt{↬ \: 3.142 \times 13}}[/tex]

[tex] \boxed{ \large{↬ \tt{40.846 \: cm}}}[/tex] [ Don't forget to write the units i.e cm ]

[tex] \boxed{ \boxed{ \tt{⟿ \: OUR \: FINAL \: ANSWER: \boxed{ \underline{ \tt{40.846 \: cm}}}}}}[/tex]

[tex] \large{ \tt{✺ \: STUDY \: TIPS}} : [/tex]

♡ Hope I helped! ツ

☃ Have a wonderful day / evening ! ☼

# StayInAndExplore ! ☂

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Answer:

x = 16

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

x + (3x - 4) = 5 - (-7 - 3x)

Step 2: Solve for x

Let c represent the number of children ($1.75 each) and a represent the number of adults ($2.00 each).

We know that there were 340 people total, so c + a = 340. This implies that a = 340 - c

We also know that $1.75 c + $2.00 a = $609.25

By substituting a with 340 -c we have $1.75 c + $2.00 (340 -c) = $609.25

Use the distributive property to obtain $1.75 c + $680 - $2.00 c = $609.25

Subtract $680 from both sides and combine like terms to get - $0.25 c = - $70.75

Now, divide both sides by -$0.25 to get c = 283, the number of children.

The number of adults is 340 - c or 340 - 283 = 57

Answer:

227 children and 109 adults

Step-by-step explanation:

227*1.5+109*2.5=613

227+109=336

Answer:

you have to tell us the question honey

Answer:

4

Step-by-step explanation:

Using the rule of exponents

[tex]a^{0}[/tex] = 1

Then

4[tex](57ab)^{0}[/tex] = 1 and

4[tex](57ab)^{0}[/tex] = 4 × 1 = 4

Answer:

4

Step-by-step explanation:

since 57ab has power 0 it is equal to 1

1×4 is 4

Answer:

Step-by-step explanation:

Use right triangle trig and SohCahToa. Elevation could either mean the height of something or it could refer to an angle of elevation. Either way, these ratios can help you. Do you have an actual question?

Answer: 1/3piex^2

3rd one down

Step-by-step explanation:

I’m not positive sorry if I’m wrong