From his house, Shane could drive due north to get to his parents' house or he could drive due east to get to his grandparents' house. It is 8 miles from Shane's house to his parents' house and a straight-line distance of 17 miles from his parents' house to his grandparents' house. How far is Shane from his grandparents' house?

Answers

Answer 1

Answer:

15 miles

Step-by-step explanation:

It is given that,

Shane could drive due north to get to his parents' house or he could drive due east to get to his grandparents' house.

It is 8 miles from Shane's house to his parents' house and a straight-line distance of 17 miles from his parents' house to his grandparents' house.

It can be calculated by considering a right angled triangle. Using pythagoras theorem, we can find the distance between Shane from his grandparents' house. Let it is d.

[tex]d^2=\sqrt{17^2-8^2} \\\\=15\ \text{miles}[/tex]

Hence, Shane is 15 miles from his grandparents' house.


Related Questions

Which strategy below would NOT get you an
accurate estimation of 33% of 146.7?
A) Round the percent and find 30% of 146.7
B) Round the number and find 33% of 150
C) Use benchmark percent and find 50%
of 146.7
D) Round the percent and number and
find 30% of 150
E) All of them would be an accurate
estimation,

Answers

Answer:

C) Use benchmark percent and find 50%

of 146.7

Step-by-step explanation:

Accurate estimation of 33% of 146.7

A) Round the percent and find 30% of 146.7

Acceptable, rounded down the %

B) Round the number and find 33% of 150

Acceptable, rounded up the number

C) Use benchmark percent and find 50%

of 146.7

NOT acceptable as 50% is too much for 33%

D) Round the percent and number and

find 30% of 150

Acceptable, both % and the number rounded

E) All of them would be an accurate  estimation

No, option C only

how to find an opposite ray?

Answers

Opposite rays are two rays that both start from a common point and go off in exactly opposite directions. Because of this the two rays (QA and QB in the figure above) form a single straight line through the common endpoint Q. When the two rays are opposite, the points A,Q and B are collinear.

A model car is built to a scale of 1 in. : 2.5 ft. If the model is 5.8 in. Long how long is the car in real life?

Answers

Answer:

14.5 ft

Step-by-step explanation:

We are told that the model car is built to a scale of 1 in. : 2.5 ft.

That means 1 inches represents 2.5 ft in actual measurement.

Thus, for a 5.8 inch long model, the real life measurement is;

(5.8 inch × 2.5 ft)/1 inch = 14.5 ft

A ladder that is 21 feet long is propped against a building. The bottom of the ladder was placed 4 feet from the base of the building. How high up on the building does the ladder reach? Round the answer to the nearest tenth of a foot

Answers

Answer:

20.62 feet

Step-by-step explanation:

The ladder propped against a building forms a right angle triangle

Height of the ladder (hypotenuse) = 21 feet

Base of the ladder from the building (adjacent) = 4 feet

Height of the building (opposite) = x feet

Hypotenuse ² = opposite ² + adjacent ²

21² = x² + 4²

21² - 4² = x²

441 - 16 = x²

425 = x²

x = √425

= 20.62 feet

Answer: 20.62 ft or rounding it to 20.6 ft

Step-by-step explanation:

Jacob made $45.50 selling lemonade. He wants to make 15% more the next time he sells his lemonade. How much money does Jacob want to make?
PLEASE HELP!! FREE BRAINLY!! QUICK!

Answers

It’s would be 52.32

solve for c

solve for r

Answers

Answer:

Step-by-step explanation:

9(c+7)=27

9c+63=27  subtract 63 from both sides

9c=  -36  divide by 9

c= -4

3(2r-8)+4r=76 foil

6r-24+4r=76 combine like terms

10r-24=76 add 24 to both sides

10r+100  divide by 10

r= 10

what is the slope for (-11, 1) and (-2, 6)?

Answers

Answer:

5/9

Step-by-step explanation:

You can verify me by using the y2-y1/x2-x1 formula

Please help me with this homework

Answers

Answer:

5.   y= -2x+4

6.   y= 1/3x-3

7.   y= -5/2x+8

8.    y= 3/4x+3

Step-by-step explanation:

these are the answers if you want me to explain tell me!

Which choice correctly describes this event? I will roll a die and land on 1 and 3.
A) Impossible
B) Unlikely
C) Likely
D) Certain

Answers

This is impossible in 1 roll

the probability is zero

In the equation, f(x)=2x-4(x+1), what is the value of f(-14)?

A. 32
B. -32
C. 5
D. 24

Answers

Answer:

D. 24

Step-by-step explanation:

Plug in -14 to the equation:

f(x) = 2x - 4(x + 1)

f(-14) = 2(-14) - 4(-14 + 1)

Simplify:

f(-14) = -28 - 4(-13)

f(-14) = -28 + 52

f(-14) = 24

So, D is the correct answer.

Harold and his friend Bill each collect vintage action figures. Harold already has 18
action figures and adds 3 more figures to his collection each month. Bill already has 24
action figures and adds 2 more to his collection each month. Let x represent the
number of months, and y represent the number of action figures. Which equations can
be used to find how long it will take before the friends each have the same number of
action figures?

Answers

Answer:

6 months

Step-by-step explanation:

BONUS QUESTION: Earn up to 2 bonus points for this question.
I have a Starbucks reward account. I earn "stars" for every purchase I make. Then I can spend those stars to get free items. My usual drink costs me either $5.45 or 150 stars. Sometimes I get Pumpkin Bread, which costs either $3.15 or 50 stars.
Today I am going to get my usual drink and some Pumpkin Bread. Which item is the better one to use my stars on? Explain why you think that is the better option.

Answers

Answer: I would say try and use your 150 stars you’ll save more money for that day and earn more stars.

Step-by-step explanation:Hope this helps!

help plz brainliest to best answer​

Answers

Answer: -1/27

Step-by-step explanation:

Answer:

-1/27

Step-by-step explanation:

I just need to know what elevation did Winston reach during his deepest dive?

Answers

Answer: 20.2 * -2.5ft = -50.5ft

Hence, Winston reach -50.5 feet during his deepest dive.

If your question was this: On Wednesday at 9 a.m., Winston went diving. Near the beach, the ocean’s surface was at an elevation of -2.5 feet. During his deepest dive, Winston reached an elevation that was 20 1/5 times the elevation of the ocean’s surface. What elevation did Winston reach during his deepest dive? Then that should be your answer....                                         I had this question too, and this is what i got....

Hope this helps.... Stay safe and have a Merry Christmas!!!!!! :D

A. 9,10 B.10,8.3 C. -10,8.3 D-9,10​

Answers

B is the answer to your question

30 cents in each dollar is a paid tax. what fraction is paid in tax? what percentage is not paid in tax?please i need an answer within 10 minutes I'm In an exam ​

Answers

Answer:

30 cents of a dollar is 30% tax paid and 70% not paid.

A dollar is 100 cents.

Step-by-step explanation:

the opposite of 5x and 5x+8?

Answers

the opposite or addictive increase of 5x is -5x.

the opposite or addictive increase of 5x + 8 is -5x -8.

Answer:

Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=x5+85 f - 1 ( x ) = x 5 + 8 5 is the inverse of f(x)=5x−8 f ( x ) = 5 x - 8 .

Pllzzzz help it’s an exam !!!! A side of the triangle below has been extended to form an exterior angle of 125 . Find the value of x

Answers

Answer:35

Step-by-step explanation:

take 180 and subtract those numbers and u get ur answer

If x =14 which equations true

Answers

Answer:

where r the equations?

Answer:

3(12-x)=6

Step-by-step explanation:

hope that helps !!!!!!!!!!!!!!!!!

A password is 4 characters long, consisting of 2 letters and 2 numbers. The password must begin and end with a
letter. If numbers can be repeated but letters cannot, how many possibilities are there?
a. 65,000
b. 60,840
c. 58,500
d. 52,650

Answers

Answer:

a.

65,000

Step-by-step explanation:

There are 65000 possibilities of 4 character-password

What is a password?

A password is a security code that is used for verifying identities

The password has 4 characters.

The password must begin and end with a letter.

So the selections are:

First = 26

Last = 25

The other selections are:

Second = 10 digits

Third = 10 digits

So, the number of password is:

Password = 26 * 10 * 10 * 25

Evaluate

Password = 65000

Hence, there are 65000 possibilities of 4 character-password

Read more about arrangements at:

https://brainly.com/question/6032811

Which of the following is a multiple of 7?
A 12
C 22
B 28
D 36

Answers

Answer:28

Step-by-step explanation:7 x 4= 28

Answer:

28

Step-by-step explanation:

7, 14, 21, 28

Find the unit rate.



6,840 customers in 45 days.



UNIT RATE:
customers per day.

Answers

Answer:

152

Step-by-step explanation:

6840 divided by 45 is 152

A. y = 8 − 7x
B. y = 7x + 8
C. y = 7x − 8
D. y = 8x − 7

Answers

Answer:

I'm getting

y=-7x+8

The 7 is negative for me..You should maybe try yourself too and see what you get I might have made a mistake

Step-by-step explanation:

I'm guessing you live somewhere in the U.S. so I'll use the equation you use there

Equation:

[tex]y = mx + b[/tex]

[tex]m = \frac{y1 - y2}{x1 - x2} [/tex]

first pick two points

I'll pick (0,8) and (1,1)

[tex]m = \frac{8 - 1}{0 - 1} = \frac{7}{ - 1 } = - 7[/tex]

this means that the slope is -7

So far the equation will look like this

[tex]y = - 7x + b[/tex]

to get b pick one point, I'll pick (0,8) and replace y and x

[tex]8 = - 7 \times 0 + b[/tex]

when you solve this you'll get b

[tex]b = 8[/tex]

So the equation will look this

[tex]y = - 7x + 8[/tex]

can someone please answer this

Answers

Answer:

y = -0.6x + 24.6

Step-by-step explanation:

The cost of dinner for Lorenzo and his 3 friends was $45.96.

Part A. How much did each person pay if they shared the cost equally?

Part B. Write an equation to model the solution to the problem.

Enter the correct answers in the boxes.

A. $ =

B. Equation =

Answers

Answer:

The friends split the bill at 15.32$

Step-by-step explanation:

So to find how much each paid you would take the bill total and divide it by the amount of people in this case three

And for the equation it would be 45.96/3=15.32$

The equation to model the solution to the problem would be; 3x = 45.96. the friends split the bill at 15.32 dollars.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables. A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be one degree.

Given that the dinner for Lorenzo and his 3 friends costs $45.96.

To determine how much each paid would take the bill total

Therefore, we will divide it by the number of people in this case three

3x = 45.96

x = 45.96/3

x  = 15.32$

And for the equation would be; 3x = 45.96

Learn more about equations here;

https://brainly.com/question/25180086

#SPJ5

What is the sum of the exterior angles, one at each vertex, of any polygon?

Answers

Answer:

Polygon Exterior Angle Sum Theorem. If a polygon is convex, then the sum of the measures of the exterior angles, one at each vertex, is 360° .

2x - 3y = 6
Find the x and y Intercepts

Answers

Answer:

x-intercept(s): (3,0)

y-intercept(s): (0,−2)

Step-by-step explanation:

Answer:

x=3 and y=-2

Step-by-step explanation:

2x - 3y = 6

cancel out the y

2x - 3(0) = 6

2x = 6

divide both sides by 2

x = 3

2x - 3y = 6

cancel out the x

2(0) - 3y = 6

-3y = 6

divide both sides by -3

y = -2

Hope this helps!!

1/3+ 1/8 show your work a with equation
please hurry ​

Answers

Answer: 11/21

Step-by-step explanation:

Answer:

11/24 or 0.453

Step-by-step explanation:

1/3 + 1/8

1/3 × 8/8 = 8/24

1/8 × 3/3 = 3/24

8/24 + 3/24 = 11/24

;-; help pleaseeeeee e e e

Answers

Answer:

B

Step-by-step explanation:

Because,

t= the amount of money

w= weeks

+ the 15 when she washed the car

Please give me the answer from 1 to 10 and tell me how you get it please in a notebook

Answers

wow that's a lot lol

1. slope = 0

2. slope = -5

3. slope = 5

4. slope = 0

5. slope=  -1

6. slope = -1/2

7. slope = 3

8. slope = -1/10

9. slope = 1/2

10. slope = -1/2

Explanation :

I won't explain every question because that'll take forever but I can explain one step by step.

An example is number 5

You have the points, ( -4 , 5 ) ( 1 , 0 )

You need to use the SLOPE FORMULA

So first put an x1 and y1 below the points -4 and 5.

then put x2 and y2 below the points 1 and 0

the slope formula is   m = y2-y1/x2-x1

plug in the numbers which will look like

0-5/1+4

It's plus 4 instead of -4 because a negative and negatives gives you a postivie

Simplify and you get m = -1

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