A small town has six police cars. When a call comes in, the dispatcher may dispatch no cars, one car, two cars, three cars, four cars, five cars, or all six cars. If a call is received, how many ways may the dispatcher respond?

Answer:

Step-by-step explanation:

12 + 5 = 17

square root of 9 = 3

5 x 4 = 20

Hello!

It is given information that this triangle is a right triangle, meaning that the Pythagorean Theorem can apply here.

[tex]a^2+b^2=c^2[/tex]

We can set the length of a leg as an unknown variable [tex]x[/tex].

[tex]x^2+4^2=(3x)^2[/tex]

Remember that it is the whole [tex]3x[/tex] term being squared, meaning that it'll simplify to [tex]9x^2[/tex], not [tex]3x^2[/tex].

[tex]x^2+16=9x^2[/tex]

[tex]8x^2=16[/tex]

[tex]x^2=2[/tex]

[tex]x=\sqrt{2}[/tex]

This means we can plug back in to find the sides.

The hypotenuse would be [tex]3\sqrt{2}[/tex], or 4.2.

And the legs would be 1.4 and 4, respectively.

Hope this helps!

Answer:

(8,5)

Step-by-step explanation:

if its a rectangle it must share its x and y values with what is already given

Answer:

7

Step-by-step explanation:

The sum of the measures of the angles inside a triangle is 180°. Therefore, we can create the equation (6x+5)+60+73=180.

Then we simplify:

1. combine like terms. (6x+5)+60+73=6x+5+60+73=6x+138

2. 6x+138=180, -138 to both sides of the equation. the equation becomes 6x=42.

3. /6 to both sides of the equation. we can reach the conclusion that x=7

Answer:

B) -2/9

Step-by-step explanation:

2/3 ÷ -3 = 2/3 * 1/-3

2*1 / -3*3

2/-9

-2/9

Answer:

1) x= sqrt 98 = 7 sqrt 2

Step-by-step explanation:

Answer:

i'M DOWN IT'S CHADCW1234

Step-by-step explanation:

Answer:

o7ft65tu7lfl875t6u

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

Edit: Lol I learned this a while ago but imagine a ladder 5 or more goes up for sure 4 or less let it rest. Meaning anything over 5 goes up to the next digit and anything lower like 4 stays on that number

Answer:

16.

15.74 is closer to 16 than 15

Answer:

Step-by-step explanation:

║( - 5, 3 )║ = √34

Answers:

d = v(initial)t + 1/2(at^2)

v(final) = √(v(initial)^2 + 2ad)

a = 2(d-v(initial)t) / t^2

t = -v(initial)±√(v(initial)^2 + 2ad) / a

Answer:

1. vt-d=1/2at^2

2. d-vt=1/2at^2

3. a=2(d-vt)/t^2

Step-by-step explanation:

Answer:

Volume of the figure = 10π cubic meters

Step-by-step explanation:

Volume of the right prism like figure = Area of the base × Height

Area of the base of the prism = [tex]\frac{1}{4}(\pi r^{2})[/tex]

                                                 = [tex]\frac{1}{4}(\pi)(2)^2[/tex]

                                                 = π m²

Height of the prism = 10 m

Volume of the prism given in picture = π × 10

                                                              = 10π cubic meters

Answer: 10π

Step-by-step explanation:

Answer:

64 inches

Step-by-step explanation:

There are 12 inches in a foot

12 x 5 is 60

64 is greater then 60

Answer:

1.c

2.b

3.a

4.d

5.c

Step-by-step explanation:

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Answer:

area is the numbers around the shape and perimeter is inside

Step-by-step explanation:

Answer:

B - obtuse

D - acute

Step-by-step explanation:

Answer:

I think angle B is an obtuse angle and D is an acute angle. I'm not sure.

Hope this helps :)

Answer:

The answer is 24

Step-by-step explanation:

(5x4) the first part 5x4 is 20 so then (1x4) the second part 1x4 is 4 so when you add 20 + 4 it will be 24.

Answer:

20 + 4

Step-by-step explanation:

Evaluate in the parenthesis first.

5 x 4 = 20

1 x 4 = 4

bring them down

20 + 4

Keep the plus sign.

Answering actually A

Step-by-step explanation:

Answer:

(a) y intercept is approximately 4.3

(b) [tex]y = 1.5x+4.5[/tex]

Step-by-step explanation:

Given

See attachment for graph

Solving (a) The y intercept

This is the point where [tex]x =0[/tex]

From the attached graph; By observation

[tex]y \approx 4.3[/tex] when [tex]x =0[/tex]

So, the y intercept is approximately 4.3

Solving (b): The equation of best fit.

First, calculate the slope of the line using:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Where

[tex](x_1,y_1) = (9,18)[/tex]

[tex](x_2,y_2) = (8,16.5)[/tex]

So:

[tex]m = \frac{16.5- 18}{8 - 9}[/tex]

[tex]m = \frac{-1.5}{- 1}[/tex]

[tex]m = 1.5[/tex]

The equation is then calculated using:

[tex]y =m(x - x_1) + y_1[/tex]

Where: [tex]m = 1.5[/tex] and [tex](x_1,y_1) = (9,18)[/tex]

[tex]y = 1.5(x - 9) + 18[/tex]

[tex]y = 1.5x - 9*1.5 + 18[/tex]

[tex]y = 1.5x - 13.5 + 18[/tex]

[tex]y = 1.5x+4.5[/tex]

Answer:

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Answer:

9

Step-by-step explanation:

Solve the equation

Area =1/2(heightxbase)

27=1/2(Xx6)

54=6x

9 =x

Answer:

Step-by-step explanation:

Given

Absolute value is always positive:

Answer:

Area of the parallelogram =base×height

area of parallelogram =3cm×2cm

area of parallelogram = 6cm²

The area of parallelogram is 6 square units.

A parallelogram is a quadrilateral whose opposite sides are parallel and equal in length. The opposite angles of a parallelogram are equal. The diagonals of a parallelogram bisect each other.

For the given situation,

The base of the parallelogram,b = 3 cm

The height of the parallelogram,h = 2 cm

The formula of area of parallelogram is

[tex]A=bh[/tex]

⇒ [tex]A=(3)(2)[/tex]

⇒ [tex]A=6[/tex]

Hence we can conclude that the area of parallelogram is 6 square units.

Learn more about parallelogram here

https://brainly.com/question/16056863

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Answer: H. 139.50

Step-by-step explanation:

Multiply 9 by 8 first and you get 72. Then multiply 9 by 7.5 and you get 67.5 then add 72 and 67.5 and you get 139.5 or 139.50

Answer:

X=-2 x=1 x=3 and x=-1

Step-by-step explanation:

When the problem asks you to find the zeros all they are asking for is the solution so to solve all you need to do is set each individual piece equal to zero.

Answer:

D) 156 mm²

Step-by-step explanation:

18+8=26

26/2=13

13x12=156