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Answer:

Cos 2theta = -3/5

Step-by-step explanation:

Given that;

tan theta = -2

tan theta = -2/1 = opp/adj

hyp^2 = (-2)^2+1^2

hyp = √4+1

hyp = √5

sin theta = opp/hyp

sin theta = -2/√5

Cos theta = adj/hyp

Cos theta = -2/√5

Cos 2theta = 1-2sin^2 theta

Cos 2theta = 1- 2(-2/√5)^2

Cos 2theta = 1- 2(4/5)

Cos 2theta = 1- 8/5

Cos 2theta = (5-8)/5

Cos 2theta = -3/5

Answer: 21 sides

Step-by-step explanation: (n-2)=3420  you should divide each side by 180

Answer:

180 degrees minus 54 equals jml

Step-by-step explanation:

180-54=JML

Answer:

(1,0)

Step-by-step explanation:

Given

[tex]H = (-2,2)[/tex]

[tex]I = (4,3)[/tex]

[tex]J = (4,-2)[/tex]

[tex]K = (-2,-3)[/tex]

Required

The midpoint of the diagonals

Midpoint is calculated as:

[tex]M = (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

For H and J, the midpoint is:

[tex]M = (\frac{-2+4}{2},\frac{2-2}{2})[/tex]

[tex]M = (\frac{2}{2},\frac{0}{2})[/tex]

[tex]M = (1,0)[/tex]

For I and K, the midpoint is:

[tex]M = (\frac{4 - 2}{2},\frac{3-3}{2})[/tex]

[tex]M = (\frac{2}{2},\frac{0}{2})[/tex]

[tex]M = (1,0)[/tex]

The midpoint of both diagonal is: (1,0)

Answer:

option C

Step-by-step explanation:

Answer:

224 in.²

Step-by-step explanation:

The tent has a shape of a triangular prism. So, we are looking for the Lateral surface area of a triangular prism.

Lateral surface area of a triangular prism = Perimeter of base × height of prism

Perimeter of base = 5 + 6 + 5 = 16 in.

Height of prism = 14 in.

Plug in the values

Lateral Surface Area = 16 × 14 = 224 in.²

Answer:

y  ≤  5

Step-by-step explanation:

too lazy to explain :/

Answer:

8

Step-by-step explanation:

friend formula of Range = Max(Maximum) - Min(Minimum)

Maximum= 9 - Minimum = 1

Range = 8.

if it helps don't forget to like and mark me down

Answer:

The answer is 8

Step-by-step explanation:

The biggest number in the set is 9, and the smallest is 1, so if you subtract you get 8.

  9

-  1

-------

  8

Answer:

3 months

Step-by-step explanation:

you have to check when the two lines intercept

Watching the graph you can see that it happens after 3 months

Answer:

in 3 months

Step-by-step explanation:

45x + 305 = 30x + 350,

15x = 45

x = 3

.

.

.

Answer:

[tex]6\sqrt2\\OR\\8.48528137[/tex]

Step-by-step explanation:

The area of a sector of a circle is found by:

[tex]A = \frac{\theta*r^2}{2}[/tex]

The question asks for the radius so the equation above can be repurposed

[tex]r = \sqrt\frac{2A}{\theta}[/tex]

A = 3pi

angle = pi/12

[tex]\frac{6\pi}{\pi/12} = \frac{72\pi}{\pi} = 72[/tex]

[tex]\sqrt{72} = 6\sqrt2 = 8.48528137[/tex]

let one angle be X

so, other angle be 5x-12

ATQ

X+5x-12=180

6x=180-12

6x=168

X=168/6

hence X=28

now,one angle=28

other angle is 5×28-12

= 140-12.

= 128

Answer:

d

Step-by-step explanation:

Answer:

this equation will have 2 solutions

Answer:

40.5

Step-by-step explanation:

what i do is I divided first by 10. because 100 is 10x10.

so 4050 divided by 10 is 405.

405 divided by 10 is 40.5

4050 divided by 100 = 40.5

Answer:

x² + 4x

Step-by-step explanation:

Area of the rectangle = length × width

length = x + 4

width = x

Therefore,

Area = x(x + 4)

Area = x*x + x*4

x² + 4x

Answer:

The correct answer is:

Step-by-step explanation:

The given values are:

Service time varies,

Repair time = 2 hours

Standard deviation = 1.5 hours

Robotics uses per hour cost,

= $35

Company's cost per hour,

= $28

(a)

⇒ Arrival rate = Jobs per hours

then,

                       = [tex]\frac{8 \ hours}{3 \ jobs}[/tex]

                       = [tex]2.666 \ hours \ per \ job[/tex]

The jobs per hour will be:

⇒  [tex]\lambda=\frac{1}{2.666}[/tex]

       [tex]=0.375[/tex]

(b)

⇒ Service rate = jobs per hour

then,

                      μ = [tex]\frac{1 \ repair \ job}{2 \ hours}[/tex]

                         = [tex]0.5 \ jobs[/tex]

Answer:

10 years

Step-by-step explanation:

Given

Decline from (0,h) to (10,0)

See attachment for graph

Required

Determine the age when height = 0

The function of the graph is represented as: (age, height)

So, we need to read from the graph the corresponding value of age (on the x-axis) when height = 0 (i.e. the y-axis)

From the attached graph;

[tex]age = 10[/tex] when [tex]height = 0[/tex]

Hence, the age of the car is 10 years

Answer:

18 Liters of water

Answer:

217=31m; m=7, 7 miles per day

Step-by-step explanation:

217/31=m 217=31m, just divide the total number of miles by the number of days

9514 1404 393

Answer:

  not on the same line

Step-by-step explanation:

Any two distinct points define a line. Additional points may or may not be on that line. If they are on the line, they are collinear with other points on the same line.

Any point not on the line is noncollinear with the points that are on the line.

Answer:

The ratio of the volume of the larger cylinder to the volume of the smaller cylinder is 27:1

Step By Step Explanation:

Volume of the smaller cylinder(V1)=π(r^2)h

Volume of the larger cylinder(V2)=π(r^2)h

=π(3r)^2*3h

=π*9(r^2)*3h

=27π(r^2)h

The ratio of the volume of the larger cylinder to the volume of the smaller cylinder is 27π(r^2)h/π(r^2)h i.e. 27:1

Answer:

60

Step-by-step explanation:

I think that is the best choice sorry if i got it wrong.

Answer:

60 degrees

Step-by-step explanation:

Angle 1 is already 55 degrees, if you move the y line 5 degrees clockwise then it equals 60 degrees. Angle 1 and 3 are vertical angles so they are equal, if angle 1 is 60 degrees after we move the line then angle 3 is also 60 degrees

Answer:

(-4,5)

Step-by-step explanation:

that is the top left quadrant which means the x value has to be negative but the y value has to be positive

Answer:

a)  0 , 1

b) 0.56 , 0.06

Step-by-step explanation:

X = 0.2

Y = 0.3

Find the distribution of X + Y

a) All the possible values of  X + Y

The possible values of X + Y  are ; 0,1

b) The probabilities that X + Y takes each of the values

P(X+Y=0 ) = ( 1-0.2 )*(1-0.3) = 0.56

P( X +Y = 1) = 0.2*0.3 = 0.06

Answer:

The point estimate of the proportion of women who trust recommendations made on Pinterest is of 0.78.

Step-by-step explanation:

To find the point estimate of the proportion of women who trust recommendations made on Pinterest, we find the sample proportion.

In this question:

150 women

117 trust recommendations made on Pinterest.

Point estimate:

[tex]p = \frac{117}{150} = 0.78[/tex]

The point estimate of the proportion of women who trust recommendations made on Pinterest is of 0.78.

Answer:

The answer is 126.

Step-by-step explanation:

If you multiply 2*9 first, you get 18. Then multiply 18 by 7. The answer will be 126. I hope this helps.

Answer:

Savannah, GA

Step-by-step explanation:

I just looked it up.

Answer:

A

Step-by-step explanation:

A is a triangular prism