please help ………………………

Answer:

497 inches²

Step-by-step explanation:

Hi!

I have never done a problem like this in my life but I see exactly how it is meant to be solved. Lets try it out.

Let us first remind ourselves of the formulas we need for this.

Formula for a circle and the formula for a triangle.

Circle :

A = [tex]\pi[/tex] x r²

(or Area = pi x radius²) (Note that [tex]\pi[/tex] = 3.14)

Triangle :

A = b x h x 1/2

(or Area = base x height x 1/2)

Now lets see what the question wants from us and what we are given :

Gives us :

Diameter XY = 30 inches

YZ = 20 inches

XZ = 21 inches

And it wants the total area of the shaded regions to the nearest square inch. (Inches²)

Alright so first lets solve this triangle :

We need to do Base x Height x 1/2 :

Input your numbers given :

Base = 21in

Height = 20in

And lets multiply this out :

Base x Height x 1/2

21     x    20     x 1/2

21 x 20 gives us 420

Now we have :

420 x 1/2

Note that this is literally saying it wants half of 420. So we can actually just make it easier and do :

420/20

This gives us 210.

Great! Now we have the area of the triangle which is 210, this will be important later but for now lets move onto the circle.

Alright so we need radius to solve this but it really doesn't give us much about the circle.

But...

If you take a look at ∠YX you can see that it says 30in. This is actually the diameter of the circle and we can use this to find the radius of the circle.

The radius of a circle is 1/2 of the diameter.

And the diameter of a circle is 2 × the radius.

So in this case to find the radius we can actually take the 30inch diameter and divide it by 2 to find our radius.

30/2

=

15

Radius = 15inches!

Now lets look back to our wonderful circle formula.

A = [tex]\pi[/tex] x r²

or if we write it out :

Area = pi x radius²

So now lets plug in the radius we found and then solve to find the area of this circle.

Area = pi x 15²

(Don't forget the tiny 2 next to the 15!)

Now we can multiply this :

pi x 15²

=

706.858347058

Round to the nearest square inch :

707 inches²

(pi = [tex]\pi[/tex])

So now what we have is the area of both shapes. It is smooth sailing from this point on. Let us recap :

Triangle Area = 210 inches²

Circle Area = 707 inches²

Now we have to find the area of the shaded area which is really simple subtraction.

The shaded area is the circle but the triangle is overlapping this shaded area so all we have to do is subtract the triangles area from the circles area so all that will be left is the shaded area of the circle.

So we do :

Circles area - Triangles area = Our answer

707 - 210 = 497

There we go!

Our answer is 497 inches²

This took a minute I am sorry about that but I hope this helps!

If you have any other questions please let me know.

Answer:

Step-by-step explanation:

Answer: X=28

Step-by-step explanation:

(3x-21) = 63

3(28)-21 = 63

3(28) = 84

84 - 21 = 63

63 = 63

Answer:

asi ñao lub ni huliao

Step-by-step explanation:

9514 1404 393

Answer:

  (a) subscriptions

  (c) vehicle value

Step-by-step explanation:

Exponential functions are used to describe situations where the amount of change is proportional to the amount.

If the amount of change is a constant, then the function is linear.

A. video subscribers change by an amount proportional to their number, so is an exponential function.

B. the change in number of bricks in a row is a constant, so the function is a linear function.

C. The amount of change is proportional to the value, so the function is an exponential function.

D. The change in patient count is a constant, so the function is a linear function.

Answer:

Step-by-step explanation:

I think it’s B

Answer:

its b

Step-by-step explanation:

took the test on usa test prep

Answer:

26mm because w=6mm and the perimeter of the smaller triangle is 48mm

Answer:t a particular point it is exactly above the fish moving in a pond 3m below the ground level. Find the vertical distance between these two points.? is done on EduRev Study Group by Class 7 Students. The Questions and Answers of A kite is flying at a height of 10m above the ground level. At a particular point it is exactly above the fish moving in a pond 3m below the ground level.

Step-by-step explanation:

Step-by-step explanation:

step 1. why are you in a hurry?

step 2. a binomial that is a common factor of 121 - 25x^2 and 25x^2 + 55x + 121.

step 3. the factors. of 121 - 25x^2 are (11 - 5x)(11 + 5x).

step 4. the factors of 25x^2 + 55x + 121 are (5x + 11)(5x + 11).

step 5. the common factor is 5x + 11.

Answer:

hope this helps..........

Answer:

9. A loebskesşbxksjlejs

Answer:

Is that 12

12+x+3

x = 12-3

x = 9

Area of the composite figure will be 52.5 cm².

Given composite figure is divided into two parts (1) triangle ABC (2) Rectangle DEFG

Area of ΔABC = [tex]\frac{1}{2}(AB)(BC)[/tex]

                        = [tex]\frac{1}{2}(5)[8-(1+2)][/tex]

                        = [tex]\frac{1}{2}(5)(5)[/tex]

                        = 12.5 cm²

Area of rectangle DEFG = Length × Width

                                        = 8 × 5

                                        = 40 cm²

Area of the composite figure = Area of triangle ABC + Area of DEFG

                                                = 12.5 + 40

                                                = 52.5 cm²

       Therefore, area of the composite figure will be 52.5 cm².

Learn more about the area of the composite figure,

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Answer:

D. 300

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define Variables

Stuffed bears = b

Stuffed dogs = d

Step 2: Define Systems

$7b + $8d = $3800

b + d = 500

Step 3: Rewrite Systems

b + d = 500

Step 4: Redefine Systems

7b + 8d = 3800

-7b - 7d = -3500

Step 5: Solve for d

Elimination

Step 6: Define Answer

d = 300 means that the students bought 300 stuffed dogs.

Answer:

D

Step-by-step explanation:

Remark

Let the stuffed bear = x

Let the stuffed dog = y

Equations

x + y = 500                   (1)

7x + 8y = 3800               (2)

Solution

There are two ways you could do this. You can use substitution or you could use multiplying equation 1 by either 7 or 8 to get rid of the x or y.

Multiply (1) by 7

7x + 7y = 3500             (3)       Write equation (2) below (3) and subtract

7x + 8y = 3800                        Subtract

    -y = - 300                            Multiply by - 1

     y = 300

Use the result for y to get x using equation 1

x + y = 500

x + 300 = 500                         Subtract 300

x = 500 - 300

x = 200

Stuffed bears = 200

Stuffed dogs   = 300

Answer:

The second one is the associative property bruda!

Answer:

gracias por los puntos

Step-by-step explanation:

puntos.com

Answer:

No pos culluiwjwiwjkwjw

Answer:

Not sure

Step-by-step explanation:

C I think

Answer:

6/12 inches (D)

Step-by-step explanation:

First, you have to find the area of one rectangle.

1/3 times 1/4 = 1/12

Now, this red rectangle covers 6 boxes so...

6 times 1/12 = 6/12

6/12

Answer:

D

Step-by-step explanation:

D

Answer:

D i think

Step-by-step explanation:

Answer:

In geometry, a transversal is a line that intersects two or more other (often parallel ) lines.

Step-by-step explanation:

Answer:

letter D a(-3,3) to a'(-3,-3)

i hope it can help

Answer:

A

Step-by-step explanation:

it is because of the inverse is across y-axis.

but I feel that should be the answer.

Answer:

2:45 p.m.

Step-by-step explanation:

60 miles per hour for 3 hours

time: 12:30

miles driven: 180

45 minutes for lunch

time: 1:15

miles driven: 180

60 miles an hour till she hits 270

270-180=90

90 miles = 1.5 hours of driving

1.5 hours plus 1:15 = 2:45

Answer:

x=2, y= -2

Step-by-step explanation:

Answer:

-10x+y=-22---------equation 1

-8x+y=-18----------equation 2

subtract eqn 1 and 2

-10x+y=-22

-8x+y=-18

(+) (-) (+)

__________

-2x=-4

or, x=2

put the value of x in equation 1 we get

-10×2+y=-22

y=-22+20

or, y = -2

therefore x=2 and y=-2 ans.

Answer:

3x3/8x2 = 9/16

9/16+7/16 = 16/16

               =1

Answer:

i think it$1,991.82. this is what i got.

Step-by-step explanation:

Answer:

Step-by-step explanation:

I = PRT

PRT = I

P = I/RT

P = 312.50/(.25)(.25)

P = 312.5/.0625

P= $5000

Principal for the given interest, rate of interest and time period is $5000.

Given that, I = $312.50, R = 25% and T = 0.25 years.

Simple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time.

Simple interest is calculated with the following formula: S.I. = P × R × T, where P = Principal, R = Rate of Interest in % per annum, and T = Time, usually calculated as the number of years.

Now, SI=(P × R × T)/100

312.50= (P × 25 × 0.25)/100

⇒ P × 25 × 0.25 = 31250

⇒ P = 31250/6.25

⇒ P = $5000

Therefore, principal for the given interest, rate of interest and time period is $5000.

To learn more about the simple interest visit:

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#SPJ2

Answer:

see explanation

Step-by-step explanation:

(a)

To find the x- intercepts , let y = 0 , that is

6x - x² = 0 ← factor out x from each term

x(6 - x) = 0

Equate each factor to zero and solve for x

x = 0

6 - x = 0 ⇒ x = 6

Coordinates of P (6, 0 )

(b)

The axis of symmetry is a vertical line, positioned at the midpoint of the zeros

x = [tex]\frac{0+6}{2}[/tex] = [tex]\frac{6}{2}[/tex] = 3

Equation of axis of symmetry is x = 3

(c)

Given a parabola in standard form y = ax² + bx + c ( a ≠ 0 )

Then the x- coordinate of the vertex is

[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]

y = 6x - x² = - x² + 6x ← is in standard form

with a = - 1, b = 6 , then

[tex]x_{vertex}[/tex] = - [tex]\frac{6}{-2}[/tex] = 3

Substitute x = 3 into y = 6x - x² for y- coordinate

y = 6(3) - 3² = 18 - 9 = 9

coordinates of maximum point = (3, 9 )

Complete question :

A population of 30 deer are introduced into a wildlife sanctuary. It is estimated that the sanctuary can sustain 600 deer. The population would grow by 30 percent per year

how many after one year

how many after two years

Answer:

39 deers

51 deers

Step-by-step explanation:

The question can be expressed using the compounding rate formula:

A = P(1+r)^t

A = final population ; P = initial population ; rate, r = 30% = 0.3 ; t = time

After 1 year, t = 1

A = 30(1 + 0.3)^1

A = 30(1.3)^1

A = 39 deers

B.)

After 1 year, t = 2

A = 30(1 + 0.3)^2

A = 30(1.3)^2

A = 50.7

A = 51 deers approximately

Answer:

1. 70

2. 22

3. 56

4. 16

5. 38

6. 15

7. 260

8. 7