8. Cory drove 7 miles South on Kings Drive. He then turned East and went another 24 miles down Hwy 66. At this point he turned on a diagonal and took Main Street back home. How far did Cory drive? show work​

Answers

Answer 1

Answer:

Cory drove 56 miles.

Step-by-step explanation:

In order to solve the present problem, the Pythagorean theorem must be used, as the displacements towards the south and east operate as legs and the diagonal return as hypotenuse, forming a right triangle:

7 ^ 2 + 24 ^ 2 = X ^ 2

49 + 576 = X ^ 2

2√625 = X

25 = X

Thus, since he traveled 7 miles south, 24 miles east, and then 25 miles diagonally toward his house, in total he traveled 56 miles (7 + 24 + 25).


Related Questions

if two fair coins are tossed simultaneously, what are the chances of both coming up 'heads'?​

Answers

Answer:

i think 1/4

Step-by-step explanation:

Answer:

[tex]\frac{1}{4}[/tex]

Step-by-step explanation:

We name the coins coin 1 and coin 2 for the sake of simplicity.

There are four possible situations:

coin 1 head, coin 2 head

coin 1 head, coin 2 tails

coin 1 tails, coin 2 head

coin 1 tails, coin 2 tails

Only case 1 results in both 'heads'. So the probability is 1/4.

........................​

Answers

Answer:

Step-by-step explanation:

Figure (1)

x° = 107° [Vertically opposite angles]

Since, vertical angles are equal in measure.

Figure (2)

x + 71° = 90° [Given, complementary angles]

x = 90° - 71°

x = 19°

Figure (3)

x + 21° = 180° [Given as supplementary angles]

x = 180° - 21°

x = 159°

Figure (4)

x = 129° [Vertical angles]

Figure (5)

x° = 90° [Given]

z° + 34° = 90°

z° = 90° - 34°

z° = 56°

Since, x° + y° + z° = 180° [Linear angles]

90° + y° + 56° = 180°

y° + 146° = 180°

y° = 180° - 146°

y° = 34°

Which expression is equivalent to 4x4x4x4x4

Answers

Answer:

Step-by-step explanation:

4x4x4x4x4=4^5=1024

A manager of a clothing store always orders 2 small T-shirts and 3 large T-shirts for
every 4 medium T-shirts. The manager plans to order 24 medium T-shirts. How
many small T-shirts and large T-shirts should the manager order? Show your work.

Answers

Answer:

12 small, 18 large

Step-by-step explanation:

x - small

y - large

z- medium

4z=2x=3y then she orders 24

24/4=6 times more than usually, so we should *6 for every x and z

24z=6*2x=6*3y

12 - x - small tshirt

18 - y - large

PLEASE HELP ME IN SUPER CONFUSED!
Represent the following sentence as an algebraic expression, where "a
number" is the letter x. You do not need to simplify.
Twice the difference of a number and 3.

Answers

Answer:

x-3*2

Step-by-step explanation:

15 7/8 - 5 3/4




please answer giving brainliest not promising but ill give it to best explained answer!

Answers

First, set ur denominator to lcm which is 8

15 7/8-5 6/8

= 10 1/8

Work out the area of the trapezium ABDE.

Answers

Answer:

(half * base 1 * base 2)/height

base 1 is 6 and base 2 is 9

get the height from similarity

6/9 = 8/CE

therefore CE = 72/6

Answer:

30cm²

Step-by-step explanation:

AE/BD = CE/CD

9/6 = CE/8

CE = 9/6 x 8

CE = 12cm

DE = CE - CD

DE = 12 - 8 = 4 cm

½(6 + 9)4 = 30cm²

I WILL BRAINLIEST PLS HELP ME I NEED HELP PLS ,
If 2 cm = 5 ft, what is the area of the playground?

Answers

Answer:

Step-by-step explanation:

Ok so

2 cm is 5 feet and there are 24

2 = 5

4 = 10

6 = 15

8 = 20

10 = 25

11 = 30

So for this one there are about . 10 feet at the top and 8 feet for the other

Answer:

The scale of the drawing is

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

Let

z-----> the scale drawing

x-----> the area of the playground in the scale drawing

y----> the area of the actual playground

we have

substitute

simplify

or

Divide by 4 both numerator and denominator

The corporate team building ecent will cost $6 if it has 3 attendees. if there are 8 attendees how much will the corporate team building event cost?

Answers

Answer:

The team building event will cost $24 for 4 attendees.

Step-by-step explanation:

Given,

Cost charged corporate team building = $6 for every attendee

Number of attendees = 4

We will multiply the amount of one ticket with number of attendees in order to find the total cost.

Cost charged for 4 attendees = 6*4

Cost charged for 4 attendees = $24

How can you rewrite -8 -− 10 as an addition problem?

A:-8- -10
B -8+10
C-8+18
D-8+ -18

Answers

Answer:

B. -8+10

Step-by-step explanation: keep the -8 change - sign to +sign then change -10 to 10 .

Hope it helps :)

50 POINTS PLEASE HELP!!!!!!!!!!!!!
On average, Carter can get ready in 25 minutes but, depending on the day, his time can vary from the average by 15 minutes. Which absolute value equation can be used to calculate Carter's maximum and minimum time to get ready? Let x represent the maximum and minimum time.


|x−15|=25

|x+15|=25

|x+25|=15

|x−25|=15

Answers

Answer:

i thinking a or d

Step-by-step explanation:

The absolute value equation is |x+15|=25. Therefore, option B is the correct answer.

What is a absolute value equation?

To solve an equation containing absolute value, isolate the absolute value on one side of the equation. Then set its contents equal to both the positive and negative value of the number on the other side of the equation and solve both equations.

Given that, on average, Carter can get ready in 25 minutes but, depending on the day, his time can vary from the average by 15 minutes.

Let x represent the maximum and minimum time.

So, the absolute value equation is |x+15|=25

Therefore, option B is the correct answer.

To learn more about a absolute value equation visit:

https://brainly.com/question/2166748.

#SPJ2

16. What statement can be made about the distance between the vertices of a triangle and the circumcenter?
O the circumcenter is equidistant to all three vertices
the circumcenter is a different distance from each of the triangle's vertices
the circumcenter is closer to the highest vertex of the triangle
the circumcenter is closer to the vertices that make up the triangle's base

Answers

Answer:

O the circumcenter is equidistant to all three vertices

Step-by-step explanation:

ons: Practice
Question 5 of 5
Type the correct answer in the box. Use numerals instead
What value of x makes this equation true?
X/6 - 7 = -4

Answers

Answer:

[tex]x = 18[/tex]

Step-by-step explanation:

Given

[tex]\frac{x}{6} - 7 = -4[/tex]

Required

Solve for x

[tex]\frac{x}{6} - 7 = -4[/tex]

Add 7 to both sides

[tex]\frac{x}{6} - 7+7 = -4+7[/tex]

[tex]\frac{x}{6} = -4+7[/tex]

[tex]\frac{x}{6} = 3[/tex]

Multiply through by 6

[tex]6 * \frac{x}{6} = 3 * 6[/tex]

[tex]x = 3 * 6[/tex]

[tex]x = 18[/tex]

What’s 2*4 equal to in a Meath knowledge

Answers

Answer: 8

Step-by-step explanation:

I think the answer is 8

please help if u can! :)))

Answers

Should be 11.53256.

ASAP HELP!! sorry the photo is bad it’s the lighting but please help

Answers

Answer:

3

Step-by-step explanation:

Select all of the equations where x = 3 is a solution.

A.7x - 2 = 19
B.5x = 15
C.5x + 6 = 21
D.2x=5
E.3x = 33
F.3x = 1

Answers

Answer:

x=3 in equation ;5x=15 and in equation C.

There are 8 bones in a large snake for 3 bones in a small snake. The small snake has 150 bones. How many bones does the large snake have?

Answers

Answer:

400!

Step-by-step explanation:

150/3= 50

50*8=400

Answer:

XD lol

Step-by-step explanation:

The sum of four times a number and eight is between zero and twelve. Find the range of numbers.

Answers

2<x<3 or Anything between negative 2 and 3

Step-by-step explanation:

0<4x+8<12

-8<4x<12

-2<x<3

How do I do this?
My son school just gave him this and he doesn’t know how to do it and I don’t know.

Answers

Answer:

I would just search online what are corresponding angles and then base it off of angles like angle number 4 is corresponding because corresponding angles are just angles with the same size and same line

Question 1 (3 points)
(6.03)
Which expression shows a sum of three terms? (3 points)
O a
x3
3 + x + 3
Ob
ос
3x
Od
3(x + 3)

Answers

Answer:

more context please:)

Step-by-step explanation:

Answer:

3 + x + 3

Step-by-step explanation:

Hope it helps!

John paid $50 for renting a cycle for 5 hours. Which graph shows the relationship between the cost of renting a cycle for different hours? (1 point)

A graph is shown. The title of the graph is Cycle Renting. The horizontal axis label is Number of Hours. The horizontal axis values are 0, 1, 2, 3, 4, 5, 6. The vertical axis label is Cost in dollars. The vertical axis values are 0, 10, 20, 30, 40, 50, 60. Points are plotted on the ordered pairs 1,10 and 2,20 and 3,30.
A graph is shown. The title of the graph is Cycle Renting. The horizontal axis label is Number of Hours. The horizontal axis values are 0, 1, 2, 3, 4, 5, 6. The vertical axis label is Cost in dollars. The vertical axis values are 0, 10, 20, 30, 40, 50, 60. Points are plotted on the ordered pairs 1, 50 and 2,50 and 3,50.
A graph is shown. The title of the graph is Cycle Renting. The horizontal axis label is Number of Hours. The horizontal axis values are 0, 1, 2, 3, 4, 5, 6. The vertical axis label is Cost in dollars. The vertical axis values are 0, 10, 20, 30, 40, 50, 60. Points are plotted on the ordered pairs 1, 5 and 2,10 and 3,15.
A graph is shown. The title of the graph is Cycle Renting. The horizontal axis label is Number of Hours. The horizontal axis values are 0, 1, 2, 3, 4, 5, 6. The vertical axis label is Cost in dollars. The vertical axis values are 0, 10, 20, 30, 40, 50, 60. Points are plotted on the ordered pairs 1,20 and 2,40 and 3,60.

Answers

Answer:

Graph A <==

Step-by-step explanation:

$ 50 for 5 hours......50/5 = 10...thats $ 10 per hr

so the equation would be : y = 10x...with x being the number of hrs and y being the total cost.

So ur x axis will be the hours and your y axis will be the total cost.

so ur answer is :the title of the graph is cycle renting. the x axis (the horizontal axis)...since it is the hours, will be labeled 0,1,2,3,4,5,6

the y axis (the vertical axis)...since it is the total cost, will be labeled  

0,10,20,30,40,50,60. points are plotted on (1,10),(2,20), and (3,30)

hey please help
just tell me all the ones that work ​

Answers

Answer:

D and A and B i think

Step-by-step explanation:

Need done ASAP 25 points!!!!!!!!

Answers

Answer:

Step-by-step explanation:

A

The answer should be A. I hope this helps so sorry if it’s incorrect

Help me please thanks

Answers

Answer:

y=x+4

Step-by-step explanation:

Slope intercept is y= mx+b

The slope is rise/run or change in y/change in x. Here the slope is 1 since when y goes up1, x goes to the right 1 (1/1=1).

The y intercept is 4 since it hits the y axis at 4.

so it would be y= 1x+4 which is y=x+4

A restaurant customer left $1.80 as a tip. The tax was 5% and the tip was 20% of the after tax cost. Which information is not needed to compute the bill after tax and tip?​

Answers

Answer:

it's b

Step-by-step explanation:

Given the coordinates, determine whether PQR & XYZ are congruent


P(5,-4), Q(-3, 7), R(0, 2), X(-2,-1), Y(9, 7), Z(3, 2)


PQ=

XY=

QR=

YZ=

PR=

XZ=


Are the triangles congruent? If yes, explain your reasoning and write a congruence statement.

Answers

Answer:

The triangles are congruent

Step-by-step explanation:

Given

[tex]P(5,-4), Q(-3, 7), R(0, 2), X(-2,-1), Y(9, 7), Z(3, 2)[/tex]

Required

Determine if PQR = XYZ

To do this, we make use of distance formula.

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

For PQ:

[tex](x_1,y_1) = (5,-4)[/tex] and [tex](x_2,y_2) = (-3,7)[/tex]

So:

[tex]PQ = \sqrt{(-3-5)^2+(7-(-4))^2}[/tex]

[tex]PQ = \sqrt{(-8)^2+(7+4)^2}[/tex]

[tex]PQ = \sqrt{(-8)^2+(11)^2}[/tex]

[tex]PQ = \sqrt{64+121}[/tex]

[tex]PQ = \sqrt{185}[/tex]

For XY:

[tex](x_1,y_1) = (-2,-1)[/tex]

[tex](x_2,y_2) = (9,7)[/tex]

So:

[tex]XY = \sqrt{(9-(-2))^2+(7-(-1))^2}[/tex]

[tex]XY = \sqrt{(9+2)^2+(7+1)^2}[/tex]

[tex]XY = \sqrt{(11)^2+(8)^2}[/tex]

[tex]XY = \sqrt{121+64}[/tex]

[tex]XY = \sqrt{185}[/tex]

For QR:

[tex](x_1,y_1) = (-3,7)[/tex] and [tex](x_2,y_2) = (0,2)[/tex]

So:

[tex]QR = \sqrt{(0-(-3))^2 + (2-7)^2}[/tex]

[tex]QR = \sqrt{(0+3)^2 + (-5)^2}[/tex]

[tex]QR = \sqrt{(3)^2 + 25}[/tex]

[tex]QR = \sqrt{9 + 25}[/tex]

[tex]QR = \sqrt{34}[/tex]

For YZ:

[tex](x_1,y_1) = (9,7)[/tex] and [tex](x_2,y_2) = (3,2)[/tex]

So:

[tex]YZ = \sqrt{(3-9)^2+(2-7)^2}[/tex]

[tex]YZ = \sqrt{(-6)^2+(-5)^2}[/tex]

[tex]YZ = \sqrt{36+25}[/tex]

[tex]YZ = \sqrt{61}[/tex]

For PR:

[tex](x_1,y_1) = (5,-4)[/tex] and [tex](x_2,y_2) = (0,2)[/tex]

So:

[tex]PR = \sqrt{(0-5)^2+(2-(-4))^2}[/tex]

[tex]PR = \sqrt{(-5)^2+(2+4)^2}[/tex]

[tex]PR = \sqrt{(-5)^2+(6)^2}[/tex]

[tex]PR = \sqrt{25+36}[/tex]

[tex]PR = \sqrt{61}[/tex]

For XZ:

[tex](x_1,y_1) = (-2,-1)[/tex] and [tex](x_2,y_2) = (3,2)[/tex]

So:

[tex]XZ = \sqrt{(3-(-2))^2+(2-(-1))^2}[/tex]

[tex]XZ = \sqrt{(3+2)^2+(2+1)^2}[/tex]

[tex]XZ = \sqrt{5^2+3^2}[/tex]

[tex]XZ = \sqrt{34}[/tex]

From the calculations above:

[tex]PQ = XY = \sqrt{185[/tex]

[tex]QR = XZ = \sqrt{34[/tex]

[tex]PR = YZ = \sqrt{61[/tex]

Hence, the triangles are congruent base on SSS (Sides- Sides-Sides)

Find the point of intersection for the two functions through substitution. Show
your work
f(x) = - 4x + 7
g(x) = 2x + 13
Your answer

Answers

I think answer should be 20 please give me brainlest let me know if it’s correct or not okay thanks bye

Find the value of each.

4 boxes of pasta at $1.25 each

Answers

Answer:

The total of all the boxes would be $5.00.

Yea the total would be 5 dollars

can some one please help me please

Answers

Answer:

x = 65.4

Step-by-step explanation:

I solved this question already. My explanation is here: https://brainly.com/question/20456072

Hope this helped! <3

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