In the diagram, the measure of angle 8 is 124º, and the measure of angle 2 is 84°​

*see attachment for the diagram of the information given

Answer:

115.8°

Step-by-step explanation:

Due west = 83 miles

Northwest = 111 miles

Distance to its original position = 165 miles

Let x represent the degree north of west that it turned when it changed direction which is the opposite angle of 165 miles.

Thus, to find x, we'd apply the Law of Cosine which is given as:

c² = a² + b² - 2ab*cos C

Where,

C = x

a = 83 miles

b = 111 miles

c = 165 miles

Plug in the values

165² = 83² + 111² - 2*83*111*Cos x

27,225 = 19,210 - 18,426*Cos x

27,225 - 19,210 = - 18,426*Cos x

8,015 = -18,426*Cos x

8,015 = -18,426*Cos x

8,015/-18,426 = Cos x

-0.434983176 = Cos Cmx

Cos x = -0.434983176

x = cos^{-1}(-0.434983176)

x = 115.784223°

x = 115.8°

Answer:

B

Step-by-step explanation:

Product refers to multiplication and B is the only one the uses multiplication with 8.

Answer

6/7 yd

Step-by-step explanation:

The Area = [tex]s^{2}[/tex]

So s = [tex]\sqrt{Area}[/tex] = [tex]\sqrt{\frac{36}{49}}[/tex] = [tex]\frac{\sqrt{36} }{\sqrt{49} }[/tex] = 6/7 yd

Answer:

please where is the above square pyramid

Step-by-step explanation:

please I wish I could help you but your question is in complete

Answer:

Women: 448  Men: 560  Children: 1232

Step-by-step explanation:

5+4+11 = 20/2240 = 112

Women = 4 x 112 = 448

Men = 5 x 112 = 560

Children = 11 x 112 = 1232

Total = 1232 + 560 +448 = 2240

Answer:

Your answer is the first option, (2,-1).

Step-by-step explanation:

All you have to do is plug the (x,y) values into both equations, then solve and see if they're true.

For the first equation, plug x (aka 2) and y (aka -1) into the places they belong.

2x + y = 3 would become 2(2) + (-1) = 3 after putting the values in the right spots.

Solve.

2(2) = 4.

4 + (-1) = 3

3 = 3.

That means that (2,-1) is the solution for the first equation, however it also needs to be true for the second. Do the same thing and plug the values in their designated spots.

y = x - 3 will become -1 = 2 - 3.

2 - 3 = -1.

So you're left with:

-1 = -1, which means again that (2,-1) is also the solution for that equation.

__________________________________________________________

If you have any questions about any of the process here, ask in the comments of this response and I'll help you out.

Answer:

yes

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

12:20

3:x

12/3=4

20/4=5

i'm sorry cuz i don't know how to show the truth working

hope it'll help you

Answer:

See Explanation

Step-by-step explanation:

Given

[tex]Ratio=12:40[/tex]

Required

Determine the actual distance between x and y

The question is incomplete, as the scale distance between x and y is not given.

To solve this, we make assumptions.

A scale measurement is represented as:

[tex]Ratio = Scale : Actual[/tex]

So, we have:

[tex]Scale : Actual = 12 : 40[/tex]

Express as fraction

[tex]\frac{Actual}{Scale} = \frac{40}{12}[/tex]

Make Actual, the subject

[tex]Actual = \frac{40}{12} * Scale[/tex]

Now, assume that the distance between x and y is 60 (on the scale), the actual distance traveled will be:

[tex]Actual = \frac{40}{12} * 60[/tex]

[tex]Actual = 200[/tex]

Answer:

Step-by-step explanation:

[tex]A=(3+8)\cdot4+\frac12\cdot3\cdot2+\frac12\cdot3\cdot3=44+3+4,5=51.5\,ft[/tex]

Answer:

The question has a picture attached of both rectangular prisms which I have attached and solved.

Answer:   1320 cm³

Step-by-step explanation:  

top prism = 5×12×10=600  

lower prism = 15×12×(15-10) = 720

Adding both volumes

720 + 600 = 1320 cm³

Answer: 1. 54, 2. 48

Step-by-step explanation: To find the area of a trapezoid you add the top base and the bottom base then divide them by two, and multiply them by the height.For #1. 8+10/2= 9 then 9x6=54 For #2. 4+12/2=8 then 8 x 6=48.

Answer:

Figure it out using this: Area= 1/2(Base 1 + Base 2) x Height

Bases are the tops and bottoms of the trapezoids

Step-by-step explanation:

Answer:

4/8 po lahat

Step-by-step explanation:

carry on learning

See the file attached (photo) above - That is the graph for (-(8*x))+15

Graph the line using the slope and y-intercept, or two points.

Slope: −8

y-intercept: (0,15)

x y

0 15

1 7

#CarryOnLearning

Answer:

Cement

Step-by-step explanation:

You need answer quick, I'm not explaining.

Answer:

cement

Step-by-step explanation:

smh

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Answer:

1.16*10⁻¹ or 1.16E-1

Step-by-step explanation:

(5.8*10⁻⁶)(2*10⁴)

5.8*2*10⁻⁶*10⁴

11.6*10⁻²

1.16*10⁻¹

1.16E-1

Answer:

nickel and a quarter

Step-by-step explanation:

One is a nickel, the other is NOT a nickel... it is a quarter.

Answer:

24m + 12 - - - (1)

12(2m + 1) - - - (2)

Step-by-step explanation:

Given the expression :

4(m + 3 + 5m)

Equivalent expressions include :

24m + 12 - - - (1)

12(2m + 1) - - - (2)

Using algebaraic properties :

4(m + 3 + 5m)

We can expand :

4m + 12 + 20m

4m + 20m + 12

24m + 12

Hence,

4(m + 3 + 5m) = 24m + 12

Using Substitution:

Let m = 5

4(m + 3 + 5m)

4(5 + 3 + 5(5))

4(5 +3 + 25)

4(33)

= 132

12(2m + 1)

12(2(5) + 1)

12(10 + 1)

12(11)

= 132

Answer:

Don Alfredo debe pagar $272,200 para encerrar por completo el corral.

Step-by-step explanation:

Dado que Don Alfredo quiere construir un corral cuadrado para sus gallinas, utilizando metros de malla lineal para rodearlo, si el zootecnista le recomendó construir uno que tenga 121 metros cuadrados, para determinar cuánto dinero debe pagar don Alfredo en la ferretería para encerrar por completo el corral si el metro lineal de malla tiene un valor de $ 6.200 el metro se deben realizar los siguientes cálculos:

121 metros cuadrados = √121 = 11 (x 11) = 11 x 4 = 44 metros lineales

44 x 6,200 = X

272,800 = X

Por lo tanto, Don Alfredo debe pagar $272,200 para encerrar por completo el corral.

Answer:

48

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

Answer:

the slope is 3/2

Step-by-step explanation:

Answer:

1.5

Explanation:

the slope of the line can be calculated by rise ÷ run, or the vertical increase divided by the horizontal increase. we can see that from the point (1,-3) to the point (3,0), the line increases vertically by 3 and horizontally by 2.

since the line is moving upwards, it is positive.

thus, the slope of the line is 3 ÷ 2 = 1.5.

Answer:

First, we know that:

cot(x) = cos(x)/sin(x)

csc(x) = 1/sin(x)

I can't know for sure what is the exact equation, so I will assume two cases.

The first case is if the equation is:

[tex]\frac{cot(x)}{sin(x)} - csc(x)[/tex]

if we replace cot(x) and csc(x) we get:

[tex]\frac{cot(x)}{sin(x)} - csc(x) = \frac{cos(x)}{sin(x)} \frac{1}{sin(x)} - \frac{1}{sin(x)}[/tex]

Now let's we can rewrite this as:

[tex]\frac{cos(x)}{sin(x)} \frac{1}{sin(x)} - \frac{1}{sin(x)} =\frac{cos(x)}{sin^2(x)} - \frac{1}{sin(x)}[/tex]

[tex]\frac{cos(x)}{sin^2(x)} - \frac{sin(x)}{sin^2(x)} = \frac{cos(x) - sin(x)}{sin^2(x)}[/tex]

We can't simplify it more.

Second case:

If the initial equation was

[tex]\frac{cot(x)}{sin(x) - csc(x)}[/tex]

Then if we replace cot(x) and csc(x)

[tex]\frac{cos(x)}{sin(x)}*\frac{1}{sin(x) - 1/sin(x)} = \frac{cos(x)}{sin(x)}*\frac{1}{sin^2(x)/sin(x) - 1/sin(x)}[/tex]

This is equal to:

[tex]\frac{cos(x)}{sin(x)}*\frac{sin(x)}{sin^2(x) - 1}[/tex]

And we know that:

sin^2(x) + cos^2(x) = 1

Then:

sin^2(x) - 1 = -cos^2(x)

So we can replace that in our equation:

[tex]\frac{cos(x)}{sin(x)}*\frac{sin(x)}{sin^2(x) - 1} = \frac{cos(x)}{sin(x)}*\frac{sin(x)}{-cos^2(x)} = -\frac{cos(x)}{cos^2(x)}*\frac{sin(x)}{sin(x)} = - \frac{1}{cos(x)}[/tex]

Answer:John doesn’t run at a constant pace. If he did, the graph would have a straight line from 0 to the end. Instead, John pace during the race changed quite a lot and he even stopped at one point.

Answer:

Variación de temperatura: 310°C

Step-by-step explanation:

La variación de temperatura entre la temperatura más baja conocida en la tierra (-273°C = 273° bajo cero) y la temperatura promedio de la tierra (37°C) será el valor absoluto de la diferencia de estos dos valores, es decir:

Variación de temperatura: |-273°C - 37°C|

Variación de temperatura: |-310°C|

Como el valor absoluto de un número negativo es su valor positivo (|-x| = x)

Answer:

0.055m³

Step-by-step explanation:

V = w × h × l = 0.11 × 0.73 × 0.65 = 0.054611m³

Answer:

260000

Estimate = 300000