Solve for m angle DBC.

Answer:

Area of the shaded region = 450.52 square inch

Step-by-step explanation:

Area of the shaded region = Area of the circle - Area of the right triangle inscribed in the semicircle

By applying Pythagoras theorem in the given right triangle,

(Hypotenuse)² = (leg 1)² + (leg 2)²

                        = (21)² + (20)²

Hypotenuse = [tex]\sqrt{441+400}[/tex]

                     = [tex]\sqrt{841}[/tex]

                     = 29

Since, hypotenuse of the right triangle is the diameter of the circle.

Therefore, radius of the circle = [tex]\frac{29}{2}[/tex]

                                                  = 14.5 in.

Area of the circle = πr²

                             = π(14.5)²

                             = 660.519

                             ≈ 660.52 in²

Area of the right triangle = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

                                         = [tex]\frac{1}{2}(21)(20)[/tex]

                                         = 210 in²

Area of the shaded region = 660.52 - 210

                                            = 450.52 square inch

Answer:

I think that J would be the answer , It is more reliable than the left ones .

Hope it was helpful , good luck ^^

Answer:

18

Heart if this helped

Answer:

$4

Step-by-step explanation:

$25-$5=20

20 divided by 5 = 4

-2

Divide each term (-4x = 8 by -4)

Cancel the common factor of -4

x = 8/-4

THEN DIVIDE

x=-2

Answer:

4 5/6 miles

Step-by-step explanation:

Area of a rectangle = length x width

58 = 12 x width

to find width, divide both sides of the equation by 12

58/12 = 4 whole number and 10 would remain

4 10/12

to simply, divide numerator and denominator by 2

4 5/6 miles

Answer: my best guess would be c

Step-by-step explanation: I hope you figure this out maybe use Socratic app that might help

Answer:

(-2,2)

Step-by-step explanation:

the red line is y = x + 4 ( we know this as x = -4 is the x intercept)

the green one is y = -x (it intercepts in origin)

so, we equal the two equations to each other to get the interception point:

x + 4 = - x

4 = -2x

x = -2

we substitute x = -2 in any of the equations we get

y = -2 + 4 = 2  or y = -(-2) = 2

so the point is (-2,2) which is option C.

Answer:

6,160 calories

Step-by-step explanation:

total hours of exercising = 3.5 x 4 = 14

burns 440 calories per each hour

total calories burned is 440 x 14

Answer:

-2/3

Step-by-step explanation:

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

since the base are the same we deal with the exponent

x+2=-2x

x= -2/3

Step-by-step explanation:

Maybe you should flip flop

Answer:

28 girls

Step-by-step explanation:

Let total students be ‘X’

No of girls = (X-20)

Girls/Boys=7/5=(X-20)/20

7(20) =5(X-20)

140=5X-100

5X=240

X = 240/5

X =48

So, Total Students are 48

No of girls = (X-20) = 48-20 = 28

Answer:

3/5

Step-by-step explanation:

subtract the fractions then turn the decimal into a fraction.

Step-by-step explanation:

[tex]y = x + 5 \: \: \: \: y = - 3x + 1 \\ y = x + 5 \: \: \: \: x + 5 = - 3x + 1 \\ y = x + 5 \: \: \: \: 4x = - 4 \\ y = x + 5 \: \: \: \: x = - 1 \\ y = 4 \: \: \: \: x = - 1[/tex]

Answer:

3 ) Acute

Step-by-step explanation:

Acute Angle - An angle less than 90 degrees.

Right Angle - An angle that is exactly 90 degrees.

Obtuse Angle - An angle more than 90 degrees and less than 180 degrees.

Straight Angle - An angle that is exactly 180 degrees.

Answer:

3)Acute

Step-by-step explanation:

any angle that is under a 90 degree angle or a right angle, is an acute angle. any angle that is above 90 degrees or a right angle is an obtuse andgle

Answer:

y<3

Step-by-step explanation:

6y<18

y<18/6

y<3

I hope this helps

Answer: you can see what number times 6 gets you 18 so it would be y<3

Step-by-step explanation:

Answer:

4 laps

Step-by-step explanation:

Solved using a proportion.

[tex]\frac{1}{9} = \frac{y}{36}[/tex]

9 × y = 1 × 36

9y = 36

9y ÷ 9 = 36 ÷ 9

y = 4

Answer:

X > 8

Step-by-step explanation:

Using the keywords greater than helps you.

Answer:

Step-by-step explanation:

First of all you have to put the zeros into factor form.

y1 = (x + 2)(x - 5)

Notice that the x changes sigh. You say that the zeros are -2 and  5. To get y1 to go to zero, you must make x the opposite sign of what you are given.

Now you have to expand the factored form to get the standard form

y = x^2 + 2x - 5x - 10

y = x^2 - 3x - 10

That's not the right answer.

f(0) = 30 but you have - 10 at the end so you have to multiply the factored form by - 3

-3(f(x)) = -3(x + 2)(x - 5)

-3(f(x)) = -3(x^2 - 3x - 10)

f(x) = -3x^2 + 9x + 30    

f(0) = -3(0)^2 + 9(0) + 30

f(0) = 30

The quadratic still has roots of (x +2)(x - 5) but that 3 makes the y intercept = 30.

See the graph below.

Answer:

Number is is A Number 2 is 77 trust ik math

Answer:

Tommy would have to pull at least 40.0000000..... something to beat Artie but the closest whole number is 41 becouse it has to be over 200

Step-by-step explanation:

200 /= 60 + 20 +25 + 55 + x

200/= 160 + x - 160 both sides

40 = x

Answer:

105

Step-by-step explanation:

75+105 =180

Answer:

Rule: Output = 2 * input + 1

Right blank: Output  = - 1

Left blank: Input = 4

Step-by-step explanation:

Rule

Start with the rule

Output = 2 * input + 1

Let the output = y

Let the input = x

y = 2x + 1

Now

Right Blank

x = - 1

y = 2*-1 + 1

y = -2 + 1

y = - 1

That's the output for -2

Left Blank

The second blank asks you to solve for the input (x) The output (y) is 9

9 = 2x + 1                 Subtract 1 from both sides

9-1 = 2x                    Combine

8 = 2x                       Divide by 2

8/2 = 2x/2

x = 4