5 A circle has a radius of 12 in. Find an exact value for each measurement. (Hint: Use arc length formula to find angle)
a) an arc length with a central angle of 90°:
b) the area of a sector with a central angle of 90°:​

9514 1404 393

Answer:

  >

Step-by-step explanation:

1 kg = 1000 g

Multiplying by 1000, you have ...

  1000 kg = 1,000,000 g

  1,000,000 g > 100,000 g

The appropriate relation symbol is >.

Answer:

A

Step-by-step explanation:

I just did it

Answer:

C. Maximum

Step-by-step explanation:

I calculated it logically

Answer:

$15,000 was invested at 14% per year, and $13,500 was invested at 4% per year.

Step-by-step explanation:

Given that a bank loaned out $ 28,500, part of it at the rate of 14% annual interest, and the rest at 4% annual interest, and the total interest earned for both loans was $ 2,640.00, to determine how much was loaned at each rate you must perform the following calculations:

28,500 x 0.14 + 0 x 0.04 = 3,990

20,000 x 0.14 + 8,500 x 0.04 = 3,140

15,000 x 0.14 + 13,500 x 0.04 = 2,640

Therefore, $ 15,000 was invested at 14% per year, and $ 13,500 was invested at 4% per year.

Step-by-step explanation:

Dont understand, sorry!!

Answer:

14.49 people per square mile

Step-by-step explanation:

Divide to find the answer:

836,109/57,714 = 14.49

Answer:

3, 8

Step-by-step explanation:

19x__=9x__-5

24x_=9x_

8x_=3x_

8x3=3x8

24=24

Answer:

The final answer is 5x + 6y + 1

Step-by-step explanation:

3x+2x = 5x

2y+4y = 6y

5x+6y+1

Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!

Answer:

Hello! Mizuki here to answer! The correct answer should be 5x + 6y + 1

Step-by-step explanation:

Just separate it into categories first, then add

soo...

3x, 2x is the only x

2y, 4y is the only y

1 is the only number

3x + 2x = 5x

2y + 4y = 6y

1 = 1

add up

5x + 6y + 1

Answer:

7/8 or the bottom right

Step-by-step explanation:

Answer:

6 x − 4

Step-by-step explanation:

have a great day :D

Answer:

6 − 4

Hope this helps!!

Answer:

Q 1)

a) No of sheep = 480

b) 8 : 11

c) 11 : 3

Q 2)

Each person will receive: $360,000, $270,000 and $180,000

Step-by-step explanation:

Ratio of sheep to cattle = 8 : 3

Let the number of sheep be 8x

And number of cattle be 3x

a)

No of cattle = 180 (Given)

Therefore,

3x = 180

x = 180/3

x = 60

Therefore, 8x = 8*60 = 480

No of sheep = 480

b)

Total animals = 180 + 480 = 660

Ratio of sheep to the total number of animals

= 480 : 660

= 8 : 11

c)

Ratio of total animals to the number of cattle

= 660 : 180

= 11 : 3

Q 2) Let each person will receive 4x, 3x and 2x dollars.

Therefore,

4x + 3x + 2x = 810,000

9x = 810000

x = 810000/9

x = 90,000

Therefore,

4x = 4*90,000 = $360,000

3x = 3*90,000 = $270,000

2x = 2*90,000 = $180,000

So, each person will receive $360,000, $270,000 and $180,000.

9514 1404 393

Answer:

  $2560.00

Step-by-step explanation:

The account balance is given by the formula ...

  A = Pe^(rt) . . . . principal P invested at rate r for t years

Filling in your numbers, we have ...

  $3287.11 = Pe^(0.05·5)

  P = $3287.11e^(-0.25) = $2560.00

The initial amount was $2560.00.

Answer:

The answer is 36 tablespoons

Step-by-step explanation:

1/4 = 4 tablespoons

4*8 = 32

32 + 4 =36

Answer:

36 tablespoons

Step-by-step explanation:

4 tablespoons in 1/4 cup:

4*4 = 16 tablespoons in 1 cup

16*2 = 32 tablespoons in 2 cups

32+4 = 36 tablespoons for 2 1/4 cups

9514 1404 393

Answer:

  40 units

Step-by-step explanation:

The slanted side is the hypotenuse of a triangle that is 8 units high and 6 units wide. Its length can be found from the Pythagorean theorem:

  d² = 6² + 8² = 100

  d = √100 = 10

The perimeter is the sum of side lengths. Those lengths can be found by counting grid squares. Clockwise from the upper left corner, the sum of side lengths is ...

  P = 8 + 10 + 14 + 8

  P = 40 . . . units

Answer:

a) Domain: x≥0

b) Range:  y≤-2

c) x-intercepts: None

d) y-intercepts: (0,-2)

e) f(4)= -4

Step-by-step explanation:

If this helps please mark as brainliest

(a) domain is [0,∞)

(b)  Range is [-2,-∞)

(c) X intercept is none

(D) Y intercept is (0,-2)

(E) f(4)=-4

Given :

Use the given graph to determine the domain , range etc.

Explanation :

Domain is the set of x values on the graph

The graph starts at x=0 and goes on .

So domain is [0,∞)

Range is the set of y values on the graph

The graph starts at y=-2 and it goes down

Range is [-2,-∞)

X intercepts are the points where the graph crosses or touches x axis

The graph does not cross the x axis

X intercept is none

Y intercepts are the points where the graph crosses or touches  y axis

The graph touches y axis at -2

Y intercept is (0,-2)

To find out f(4) we look at the y value when x=4

f(4)=-4

Learn more :  brainly.com/question/23527715

Answer:

n² + 3

this is the expression

Step-by-step explanation:

Answer:

That is correct.

Step-by-step explanation:

x - y = 6

2 - (- 4) = 6

2 + 4 = 6

Answer:

False

Step-by-step explanation:

Answer: False

Step-by-step explanation: Look up cylinder and enter the height and diameter into the calculator and you will see it does not equal 2,461.76 sqaure feet.

Answer:

A.   Midline is -1

Step-by-step explanation:

Answer:

-68$

Step-by-step explanation:

: D

hope I'm right...

Answer:

Hence, the azimuth, bearing, and length of the line connecting station Shore to station Rock are [tex]270^{\circ},90^{\circ}[/tex] and [tex]650.94[/tex] feet.

Given :

The shore station point [tex](X_1,Y_1)[/tex] in feet,

        [tex](X_1,Y_1)=(2058.97, 6980.06)[/tex]

The Rock station point [tex](X_2,Y_2)[/tex] in feet

       [tex](X_2,Y_2)=(1408.03,6980.06)[/tex]

From the figure

     [tex]x=2058.97-1408.03=650.94[/tex] feet

    [tex]y=6980.06-6980.06=0\\[/tex] feet

Length of the line [tex]L=\sqrt{x^2+y^2}[/tex]

                           [tex]\Rightarrow L=\sqrt{(650.94)^2+0}=650.94[/tex]

                            [tex]\Rightarrow L=650.94[/tex] feet

[tex]\because[/tex] [tex]\tan \theta=\frac{y}{x}=\frac{0}{x}=0[/tex]

[tex]\Rightarrow \theta=\tan^{-1}(0)=0[/tex]

Azimuth of line[tex]=270^{\circ}+\theta[/tex]

                       [tex]=270^{\circ}+0[/tex]

                      [tex]=270^{\circ}[/tex]

[tex]\therefore[/tex] Bearing [tex]=360^{\circ}-\text{Azimuth}[/tex]

                [tex]=360^{\circ}-270^{\circ}[/tex]

                [tex]=90^{\circ}[/tex]

Answer:14

Step-by-step explanation:

Answer:

9.5  feet/ 1 second is your unit rate

Step-by-step explanation:

In order to make a unit rate you have to make the denominator 1 so it can be a whole number which means you divide by the denominator on both sides both numerator and denominator.

Answer: Choice D

Yes, there exists one output for every input.

=======================================================

Explanation:

x = input

y = output

For any given x value, we have exactly one and only one y value that pairs up with it. Use the vertical line test. This is where we try to draw a single vertical line through more than one point on the curve. You'll find that no such line can be drawn. Any vertical line only crosses the curve exactly once (corresponding to exactly one output). We say that it passes the vertical line test, and therefore we have a function.

Side note: the curve does not pass the horizontal line test. That means the function is not one-to-one.

Answer:

The volume of Kuron Pool is 600ft³.

Step-by-step explanation:

Rectangular prisms are basically cuboids.

So using the formula to calculate volume of the cuboid i.e.

V = length x breadth(width) x height

= 15 x 8 x 5

= 600ft³

Answer:

751.8

Step-by-step explanation:

Answer:

x = 0

Step-by-step explanation:

Subtract 25x^2 from both sides

24x^2 + bx^2 - 25x^2 - 25x^2

Simplify

bx^2 - x^2 = 0

Factor bx^2 - x^2: x^2(b - 1)

bx^2 - x^2

Factor out common term x^2

= x^2 (b - 1)

x^2(b - 1) = 0

Using the Zero Factor Principle: If ab = 0 then a = 0 or b = 0

x^2 = 0

Apply rule x^n = 0   x = 0

x = 0

Answer:

237.46 cm squared

Step-by-step explanation:

look at the image for explanation