Los Angeles is 1,744 miles from Chicago, Chicago is 714 miles from New York, and New York is 2,451 miles from Los Angeles. Draw a triangle connecting these three cities, and find the angles in the triangle.

Answers

Answer 1

Answer:

Following are the solution to this question:

Step-by-step explanation:

please find the graph image in the attached file.

Given value:

[tex]AB= c= 1744 \ miles\\\\BC= a= 2451 \ miles\\\\AB= s= 714 \ miles[/tex]

using the law of cosines:  

[tex]\cos A = \frac{s^2+c^2-a^2}{2bc}\\\\[/tex]

        [tex]=\frac{714^2+1744^2-2451^2}{2 \times 714 \times 1744}\\\\= -0.9862[/tex]

[tex]A=cos^{-1} (-0.9862)\\\\A= 170.47^{\circ}[/tex]

[tex]\cos B = \frac{a^2+c^2-b^2}{2ac}\\\\=\frac{2451^2+1744^2-714^2}{2 \times 2451 \times 1744}\\\\= 0.9988\\\\B=cos^{-1} (0.9988)\\\\B= 2.7641^{\circ}\\\\[/tex]

[tex]\cos C = \frac{a^2+c^2-b^2}{2ac}\\\\=\frac{2451^2+1744^2-714^2}{2 \times 2451 \times 1744}\\\\= 0.9988\\\\C=cos^{-1} (0.9988)\\\\C= 2.7641^{\circ}[/tex]

Los Angeles Is 1,744 Miles From Chicago, Chicago Is 714 Miles From New York, And New York Is 2,451 Miles

Related Questions

The forces exerted on an object are shown.

A box has an arrow pointing right labeled 6 N and an arrow pointing left labeled F.

If the object moves right, which of the following is a possible value of F?

5 N
6 N
7 N
8 N

Answers

Answer:

So you have a box, with weight Wb and you have a right force of 6N and a left force of Fl

With sum of forces you get that to maintain equilibrium the force Fl must be 6 therfore to maintain moving right the left force must be 5N

Rate positively and give brainlist

Answer:

The answer is 5n

Step-by-step explanation:

Since the force on the right would have to be greater, and the force on the right is 6n, the left force would have to be less. Therefore, the answer is 5n.

What is an equation of the line that passes through the points (-3,1) and
(3, -1)? Put your answer in fully reduced form.

Answers

The equation of the line is y = -1/3 x.

To find the equation of a line, you first have to find the gradient, which is 1--1 / -3-3


So, the gradient is -1/3


Then, substitute one five point into he equation y-y1= m(x-x1) (where m is the gradient)

sub (3,-1)


y+1= -1/3(x-3)


Expand the brackets


y+1= -1/3x+1


Take 1 to the other side as a negative number


So, the line's equation is y=-1/3x

the number has three digits that add up to 10 when it is multiply by 0.5 the product is 6.35. whats the number?​

Answers

Answer:

i know

Step-by-step explanation:

bro

Help ASAP
The value of y varies directly with x. When y= 80, x= 2. What is the value of y when x is 2?
100
O 64
O 156
O 400

Answers

Answer:

I just know something that answer is 156

The coordinates of the turning point of the parabola whose
equation is y = x² - 6x + 8

Answers

Answer:

y=×2-6×+7 is the answer

PLEASE HELP WILL GIVE BRAINLY!!

In a sequence of numbers, a5 = -9, a6 = -14, a7 = -19, a8 = -24 and a9 = -29. Based on this information, which equation is used to find nth term in the sequenc

Answers

a6 =-14 is the answer. I really need the Brainly

PLEASE HELP!!!!!!
Solve the following system of equations using elimination.
5x+y=24
-5x-4y=-56

Answers

Answer:

x = 8/3 and y = 32/3

Step-by-step explanation:

Add the two equations, getting -3y = -32, thus y = 32/3

Sub for y in first equation, getting 5x + 32/3 = 24

5x = 40/3

x = 8/3

4(x-3)=9 what is the first step

Answers

Answer:

x= 5.25

Step-by-step explanation:

You have to get x alone, so do inverse operations.

(Basically, reverse what it is)

4(x-3)=9

divide 4 by both sides to get rid of 4 on left side

9/4 = 2.25

(x-3) = 2.25

Now add 3 to both sides, to get x alone

2.25 + 3 = 5.25

x=5.25

Check work

4(5.25-3) = 9

4(2.25) = 9

9=9

IMPORTANT!HELP

Write 9^5 ÷ 9^3 as a single power.

Answers

Answer:

81

Step-by-step explanation:

What are the like terms in: 4x+7-2x? I will give brainliest

Answers

Answer:

4x and -2x

Step-by-step explanation:

Answer:

The like terms are 4x and 2x.

Step-by-step explanation:

4x and 2x have x as their variable.

SOMEONE PLS HELP QUICK!

Answers

Answer:

45

Step-by-step explanation:

PLEASE HELP MY BRAIN IS SQUASHED!!!!

Answers

Answer:

That’s sad. Option c

Step-by-step explanation:

an art teacher has a total of 7/8 pounds of clay .the teacher puts 1/16 of clay at each station .how many stations would there be .

Answers

Answer:

i think there would be 14  stations

Step-by-step explanation:

sorry f i am wrong

i did 7/8/ 1/16

7/8 * 16/1 =14

Answer:

14

Step-by-step explanation:

7/8 divided by 1/16 becomes 7/8 multiplied by 1/16, which equals 14

Which of the following is an equivalent expression to 2x+2x+3y+y


A.4x + 2y
B.4xy
C.x+y
D.4x + 4y

Answers

Answer:

D. 4x + 4y

Step-by-step explanation:

2x + 2x = 4x

3y + y = 4y

So, 4x + 4y is the answer!

Find the area of the surface. The part of the surface z = xy that lies within the cylinder x2 + y2 = 36.

Answers

Answer:

Step-by-step explanation:

From the given information:

The domain D of integration in polar coordinates can be represented by:

D = {(r,θ)| 0 ≤ r ≤ 6, 0 ≤ θ ≤ 2π) &;

The partial derivates for z = xy can be expressed  as:

[tex]y =\dfrac{\partial z}{\partial x} , x = \dfrac{\partial z}{\partial y}[/tex]

Thus, the area of the surface is as follows:

[tex]\iint_D \sqrt{(\dfrac{\partial z}{\partial x})^2+ (\dfrac{\partial z}{\partial y})^2 +1 }\ dA = \iint_D \sqrt{(y)^2+(x)^2+1 } \ dA[/tex]

[tex]= \iint_D \sqrt{x^2 +y^2 +1 } \ dA[/tex]

[tex]= \int^{2 \pi}_{0} \int^{6}_{0} \ r \sqrt{r^2 +1 } \ dr \ d \theta[/tex]

[tex]=2 \pi \int^{6}_{0} \ r \sqrt{r^2 +1 } \ dr[/tex]

[tex]= 2 \pi \begin {bmatrix} \dfrac{1}{3}(r^2 +1) ^{^\dfrac{3}{2}} \end {bmatrix}^6_0[/tex]

[tex]= 2 \pi \times \dfrac{1}{3} \Bigg [ (37)^{3/2} - 1 \Bigg][/tex]

[tex]= \dfrac{2 \pi}{3} \Bigg [37 \sqrt{37} -1 \Bigg ][/tex]

What is the value of 7/3÷5/6

Answers

Answer:

2.8

Step-by-step explanation:

because 7/3 ÷5/6 = 2.8

#1) Line j contains points (-3,5) and (6,-1). If line p is PERPENDICULAR to linej,
what is the slope of line p? (Must reduce fraction) *
-3/2
3/2
9/4
- 2/3

Answers

First find slope of line j
(-1-5)/(6+3) = -6/9 = -2/3
Perpendicular = opposite sign and reciprocal slope

Solution: 3/2

What is the elevation of the surf shop?

Answers

Answer: the surf shop was higher and the distance would be 12.8 feet above the ocean surface.

Answer:

The elevation of the surf shop is 12.8

Step-by-step explanation:

I hope this helps

In a recent survey of 1,700 Game Stop customers 884 of them responed that they play video games on their
personal computer. What percent of the customers surveyed responded that they play video games on their
personal computer?

Answers

Answer:

52% play video games on their personal computer.

Step-by-step explanation:

884/1700 = 52%

What is -2 2/3 divide by -1/2

Answers

Answer:

16/3

Step-by-step explanation:

Answer:

5 1/3

Step-by-step explanation:

Convert any mixed numbers to fractions.

Then your initial equation becomes:

−8/3 ÷ −1/2

Applying the fractions formula for division,

=−8×2/3×−1

=−16/−3

Simplifying -16/-3, the answer is

=5 1/3

pls help me and really fast​

Answers

B -1 1/4 because -6/4 is -1 2/4 and when u go to the right ur getting closer to positive so ya

I need help with this ​

Answers

Answer: 500

Step-by-step explanation: use the equation y=mx+b.

B = cost of the plan per month

X = number of minutes

M = price per minute

The first plan is a flat rate of $25 a month. Whereas the second is $10 plus $0.05 a minute.

Plug in the answers until you get a price that is equal to $25.

Y = 0.05(300) + 10

Y = 25

therefore after 300 minutes the other plan is cheaper

Please Help!!! :( I don't understand

Answers

Answer:

0.425

Step-by-step explanation:

40x2.5=100

17x2.5=42.5

So the fraction is 42.5/100 which is 0.425

The temperature is 15º and is expected to fall 2º each hour during the night. write the linear equation

Answers

Answer:

y = 15 - 2x

Step-by-step explanation:

The starting temp is 15, and we expect it to fall 2 degrees each night. We substitute x and y, y = total temp at the end of the examined time period, x = number of hours.

Please give me thanks by clicking the heart button! :)

Answer:

15 - 2(x)

x = hours

Step-by-step explanation:

Select the correct graph of the function y = –1/8(x – 1)2 – 4 below.

Question 8 options:

A)

image

B)

image

C)

image

D)

image

Answers

Step-by-step explanation:

The given function is :

[tex]y=\dfrac{-1}{8}(x-1)^2-4[/tex] ...(1)

It is an equation of parabola. The vertex form for equation of parabola is given by :

[tex]y=a(x-h)^2+k[/tex] ...(2)

Here,

Vertex = (h,k), axis = h and rate = a

From equation (1) and (2) :

a = -1/8, h = 1 and k = -4

The atached graph shows the graph for the given equation.


Solve the equation and check your solution.
3x − 6 = 4(2 − 3x) − 8x

Answers

Answer:

x = 14/23

Step-by-step explanation:

3x − 6 = 4(2 − 3x) − 8x

3x − 6 = 8-12x − 8x

3x=14-20x

23x=14

x= 14/23

3(14/23)-6=4(2 − 3(14/23) − 8(14/23)

And solve hope this helps. Remember to isolate the variable when finding x for next time.

The solution to the given equation is x = 14/23.

To solve the equation 3x - 6 = 4(2 - 3x) - 8x, we will simplify and solve for x:

First, let's distribute 4 to the terms inside the parentheses on the right side of the equation:

3x - 6 = 8 - 12x - 8x

Next, let's combine like terms on the right side of the equation:

3x - 6 = -20x + 8

Now, let's bring all the x terms to one side of the equation by adding 20x to both sides:

3x + 20x - 6 = -20x + 20x + 8

This simplifies to:

23x - 6 = 8

Next, let's isolate the x term by adding 6 to both sides:

23x - 6 + 6 = 8 + 6

This simplifies to:

23x = 14

Finally, divide both sides by 23 to solve for x:

x = 14/23

So, the solution to the equation is x = 14/23.

To check the solution, substitute x = 14/23 back into the original equation:

3(14/23) - 6 = 4(2 - 3(14/23)) - 8(14/23)

This simplifies to:

42/23 - 6 = 8/23 - 12(14/23) - 112/23

-132/23 = -132/23

Both sides of the equation are equal, confirming that x = 14/23 is the correct solution.

Learn more about the solution to the equation here:

brainly.com/question/15272274

#SPJ6

a graph represents a relation that is also a function if only and if every ___ intersects the graph ___ once

Answers

Answer:

A graph represents a relation that is also a function if only and if every vertical line intersects the graph at most once.

Step-by-step explanation:

The vertical line test should be used to get an idea about the nature of a graph whether it represents a function or not. A vertical line must not intersect the graph multiple times as it would violate the definition of a function.

If a vertical line intersects the graph multiple times, it means the graph is having the same repeated inputs, which is against the definition of a function. A function can not have repeated input values.

Thus, we conclude that a graph represents a relation that is also a function if only and if every vertical line intersects the graph at most once.

Write an equation for the line that passes through the point -3,2 and is parallel to line 4X + 2Y= -10

Answers

9514 1404 393

Answer:

  2x +y = -4

Step-by-step explanation:

The equation of the given line can be simplified by dividing all of the numbers by 2:

  2x +y = -5

The parallel line can have the same coefficients of x and y, but will have a different constant. The constant will be appropriate to the given point, so will be ...

  2x +y = constant

  2(-3) +(2) = constant = -6 +2 = -4

The parallel line is ...

  2x +y = -4

I will mark brainliest and giving 20 points


What is the area of this quadrilateral?
10
OA. 130 square feet
B. 50 square feet
)C. 80 square feet
O D. 30 square feet

Answers

Answer:

C. 80

Step-by-step explanation:

5x10x.5=25

25x2=50

3x10=30

50+30=80

Answer:

C

Step-by-step explanation:

Split the shape into normal shapes such as a rectangle and two triangles

use there formulas for area for each shape

rectangle L x W

10 x 3 = 30

for triangles it’s side a times the base divided by 2

5 x 10 / 2 = 25

so it’s 50 because there is two triangles

add 50 and 30

so it’s 80ft so C

g
What was Ashley's error?
O Ashley should have subtracted 17 to both sides.
Ashley should Inve added 4.5 to both sides.
O Ashley should Jadded 17 to both sides.
O Ashley's work does not have an error.



The answer is B

Answers

Answer:

b

Step-by-step explanation:

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