Need Help ASAP it's due today. Angelica uses the point (4,3) to represent the location of her house and uses the point (10,8) to represent the location of a gas station. Each unit on the graph represents 1 mi. How far is the gas station from Angelica's house? SHOW YOUR WORK. ( The teacher said to Plot a third point, connect the third point to make a right triangle, find the lengths of the legs of the triangle and then use the pythagorean theorem to find the distance between the gas station and Angelica's house). ​Only answer if you truly know how to solve this please. Will Mark Brainliest

Need Help ASAP It's Due Today. Angelica Uses The Point (4,3) To Represent The Location Of Her House And

Answers

Answer 1

Answer:

About 7.8 miles.

Step-by-step explanation:

We can use the distance formula to find the distance from the gas station to the house.

However, your teacher said to use the Pythagorean Theorem to find the distance.

Going by your teacher's preferred method:

(4,3), (10,8), and (10,3) would make a right triangle.

[See Picture]

Angelica's house is at point (4,3). It is 6 units from our new third point.

The gas station is at point (10,8). It is 5 units form out new third point.

The legs are 5 and 6 units. The distance from the house to the gas station would be our hypotenuse.

Use the Pythagorean Theorem to find the length of the hypotenuse.

[tex]a^2 + b^2 = c^2\\\\\text {Replace a and b with the appropriate values: }\\6^2 + 5^2 = c^2\\\text {Solve: }\\6^2 + 5^2 = c^2\\6^2 = 36\\5^2 = 25\\\rightarrow 36 + 25 =c^2\\36 + 25 = 61\\\rightarrow 61=c^2\\\sqrt{61}=\sqrt{c} \\\boxed {7.81024967591=c}[/tex]

7.81024967591 ≈ 7.8

The hypotenuse is about 7.8.

Therefore, the distance between the gas station and Angelica's house should be about 7.8 miles.

Brainilest Appreciated!

Need Help ASAP It's Due Today. Angelica Uses The Point (4,3) To Represent The Location Of Her House And
Answer 2

Answer:

AG = 7,8

Step-by-step explanation:

Plot the third point at (10,3) and let's call it point B.

Now construct the right sided triangle A B G

With A = (4,3) , B = (10,3) and G = (10,8).

AB is horizontal so subtract the x coordinates of point A and point B. So AB has length 10 - 4 = 6

BG is vertical so subtract the y coordinates of point B and point G. So BG has length 8 - 3 = 5

Now use pythagorean theorem to calculate AG

In any right sided triangle you can use a² + b² = c²

In our case AB² + BG² = AG²

Substitute AB = 6 and BG = 5

6² + 5² = AG²

AG² = 6*6 + 5*5

AG² = 36 + 25

AG = + - SQRT(61)

{Only the + variant of the SQRT has a meaning here.}

AG = 7,81 rounded on one decimal AG = 7,8


Related Questions

A stack of 12 bricks is 27 inches high. How high is each brick?

Answers

Answer: 2.25 inches

Step-by-step explanation:

27/12= 2.25

1. On a quiet day without many witnesses, a 4.5 ft victim is shot by a sniper that
was in a tower 780 ft away. If the angle of elevation is 48° from the victim, at
what vertical distance did the sniper shoot from?

Answers

Answer:

The sniper shoot from 870.775 feet vertical distance.

Step-by-step explanation:

Refer the attached figure

Height of victim = AB = 4.5 ft.

Distance between tower and victim BC = 780 feet

The angle of elevation =[tex]\angle DAE = 48^{\circ}[/tex]

Let DE be x

AB = CE = 4.5 feet

BC =AE = 780 feet

Height of tower = DE+CE=x+4.5

In ΔDAE

[tex]\frac{Perpendicular}{Base}=Tan\theta\\\frac{DE}{AE}=Tan 48^{\circ}\\\frac{x}{780}=1.11061\\x=1.11061 \times 780\\x=866.275[/tex]

Height of tower = DE+CE=x+4.5=866.275+4.5=870.775 feet

Hence  the sniper shoot from 870.775 feet vertical distance.

Which property is illustrated by the
equation below?
7 + (-7) = 0
A. Additive Inverse Property
B. Distributive Property
C. Associative Property of Addition
D. Additive Identity Property

Answers

Answer:

additive inverse

Step-by-step explanation:

-7 is the inverse of 7 so adding it would cancel it out making it 0

What strategy you used to solve Problem 3.

Answers

Answer: where is it??

Step-by-step explanation:

What is the question

Can someone help with this

Answers

Answer:

the answered is -3 like in the picture

Step-by-step explanation:

There were 23 students running in a race. How many different arrangements of first, second, and third place are possible?

Answers

Answer:

10626 different arrangements

Step-by-step explanation:

As we have a total of 23 students and we want to form groups of 3, where the order of the 3 students matters, we can solve this problem using a permutation of 23 choose 3.

The formula for a permutation of n choose p is:

P(n,p) = n! / (n-p)!

So, using n = 23 and p = 3, we have:

P(23,3) = 23! / (23-3)! = 23! / 20! = 23 * 22 * 21 = 10626

So we have a total of 10626 different arrangements of first, second and third place.

Which linear function has the same y-intercept as the one that is represented by the graph?

Answers

The function shown is y=-2x+10

If we want the same y-intercept all we need to fo is change the slope.

For example, these are valid asnwers,

y=-3x+10

y=0.5x+10

y=10x+10

Answer:

y = 2x+10

Step-by-step explanation:

Consider the following polynomial.
-2xys + 3x? - 10x°y6 + 8x + 4
Which of the following statements are true? Select all that apply.
-The polynomial has 5 terms.
-The leading coefficient is -2.
.
-The degree of the polynomial is 7.
-The constant term is 4.
-The polynomial is in decreasing degree order.

Answers

Answer:

Step-by-step explanation:

If you write correctly:

[tex]P = -2xys+3x? - 10xy^{6} +8x+4\\[/tex]

I do not know the "?" in the formule de P

-The polynomial has 5 terms.  Yes

-The leading coefficient is -2. No

.

-The degree of the polynomial is 7.  Yes

-The constant term is 4.  Yes

-The polynomial is in decreasing degree order. No

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.


Zack delivers mail for the post office. Every day he walks a 7-mile route. How many miles does Zack walk in one month if he works 22 days that month?


Solve the problem. Multiply 22 and 7 and you 154 and that's your answer


154 miles

Answers

Answer: 154

Step-by-step explanation:

Hi, to answer this question we simply have to multiply the distance that he walks every day (7 miles) by the number of days that he works in a month (22).

Mathematically speaking:

7m x 22d = 154 miles  

Zack walks 154 miles in one month.

Feel free to ask for more if needed or if you did not understand something.

Find the area of a trapezoid, base 1 measures 5 inches, base 2 measures 11 inches, height measures 7 inches ​

Answers

Answer:

56

Step-by-step explanation:

What is the circumference

Answers

Answer:

Circumfrence is the distance around the circle. Sort of like a perimeter of a square.

Step-by-step explanation:

To solve the picture: the answer is 8 pi cm. The formula for circumference is C= 2pir, in which r is the radius. This means multiply the radius by 2 and then by pi. This is also known as C= dpi (d meaning diameter)

Which ratio is not equivalent to the others?

Answers

Answer:

4:7

Step-by-step explanation:

3:5=6:10/2=3:5

9:15=9:15/3=3:5

Answer:

number 13. is d

Step-by-step explanation:

help help!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

The first option, the mayor will lose by a large percentage.

Step-by-step explanation:

If you look at the numbers, You can see that the two best answers which are excellent and satisfactory are low, and in total equal 28.

Being compared to the lower ratings which are needs improvement and unsatisfactory are high, and in total equal 52.

Seeing this, this shows that the mayor will lose the election the with more than half of the people voting for someone else.

All the other options excluding the first one, say that he will win by a close call, a big percent, or a close call again.

which just leaves the first option saying that he will lose by large percent, which is true.

Is the following transformation rigid motion, dilation, or neither?

(x, y)→(2x, 2y)

Answers

Answer:

rigid motion

Step-by-step explanation:

because is a isometric transformation

9am not sure9

Please can’t Gail this

Answers

Answer:

4

Step-by-step explanation: because you up four and move 1 so the answer is 4/1 but is simplified by 4

4 I think haven’t done in a while but rise over run is how I learned so -4/-1 simplified is 4

Please help with this

Answers

Answer:

A

Step-by-step explanation:

the question is on the image

Answers

Answer:

1/6

Step-by-step explanation:

The slope of a line in y=mx+b form is always the number before the x value.

Hope this helps!

Fond the equation of the line shown

Answers

Answer:

y+-1/2x-1

Step-by-step explanation:

The line is negative

It rises one digit and runs 2

and it crosses though -1 on the y axis

Need help please owo with all of them

Answers

First one d second c and third one a

Answer:

d, c and a

Step-by-step explanation:

O///O

2x + 3 = x - 4
what is the answer ​

Answers

So the right answer is -7.

Look at the attached picture

Hope it will help you...

Good luck on your assignment

Answer:

2x+3 = x-4

Step-by-step explanation:

X = -7

2 x -7 + 3 = -11

-7 - 4 = -11

Therefore, X is -7 since both sides are equivalent and equal to -11

what is the difference between - 21 and -8 on a number line?

Answers

the difference is 13

Answer:

They are 13 units apart. -8 is closer to zero while -21 is farther ways from zero.

What does the word ‘Denotation’ mean?

Answers

Answer: Depends on what your talking about so I'll give all 3 definitions.

Step-by-step explanation:

1.)The literal or primary meaning of a word, in contrast to the feelings or ideas that the word suggests.

-Used in a sentence- Beyond their immediate denotation, the words have a connotative power.

2.) When used in philosophy it means, the object or concept to which a term refers, or the set of objects of which a predicate is true.

3.) And, the last definition is, the action or process of indicating or referring to something by means of a word, symbol, etc.

Help me find the MAD volume please
How many sundaes are there?

Answers

Answer:

2

Step-by-step explanation:

8+12+4+8 = 32

32/4 = 8

8-8 = 0

12-8 = 4

8-4 = 4

8-8 = 0

4+4+0+0 = 8

8/4 = 2

ASAP! PLEASE HELP. What is the measure of BCD?

Answers

Answer:

(5x)°

Step-by-step explanation:

Vertical angles.

Please mark as Brainliest! :)

Have a nice day.


Find the area and the circumference of a circle with a diameter of 17cm

Answers

Answer:

Step-by-step explanation:

d = 17 cm

r = 17/2 = 8.5 cm

Circumference of circle = πd

                                       = 3.14 * 17

                                       = 53.38 cm

Area of circle = πr²

                       = 3.14 * 8.5 * 8.5

                       = 226.865 cm²

what is the sum of -7 and its additive inverse?

Answers

Answer:

0

Step-by-step explanation:

An additive inverse is any number that adds to a certain number to make the value 0. For example, 6 has an additive inverse of -6. Therefore, -7 has an additive inverse of 7 because 7-7 (or -7+7)=0

Answer:

0

Step-by-step explanation:

Help anyone? Brainliest and five stars if correct

Answers

Answer:

X=1

Step-by-step explanation:

6x+2=9x-1

-6x on both sides

2=3x-1

+1 on both sides

3=3x

/3 on both sides

1=x

Flip

X=1

wrote it on paper to save typing time

help plz question is in the photo

Answers

Answer:

A. Trinomial

Step-by-step explanation:

It says it's a polynomial and that based on the number of terms. So right then you can cancel out cubic and quadratic because they aren't polynomials. Also:

Cubic is just a variable with the exponent of 3. Examples:

[tex]x^3,y^3,z^3[/tex]

Binomial is a polynomial with 2 terms. Examples:

[tex]5x+3; 6x+2; x+7[/tex]

A quadratic has a division sign.

(x+2)(x-3)(x+5) is identical to x^(3)+ax^(2)-11x+b
Find the value of a and the value of b

Answers

Answer:

a = 4 and b = - 30

Step-by-step explanation:

Expand the left side and compare like terms on both sides, that is

(x + 2)(x - 3)(x + 5) ← expand the first pair of factors using FOIL

= (x² - x - 6)(x + 5) ← distribute

= x³ + 5x² - x² - 5x - 6x - 30 ← collect like terms

= x³ + 4x² - 11x - 30

Compare like terms with x³ +ax² - 11x + b

4x² and ax² ⇒ a = 4

+ b and - 30 ⇒ b = - 30

The requried simplified values of a and b are given as 4 and -30 respectively.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
Given expression,
(x+2)(x-3)(x+5) = x³+ax²-11x+b
(x + 2)[x² +2x -15 ] = x³+ax²-11x+b
x³ +4x² -11x - 30 = x³+ax²-11x+b

Comparing both sides,
a = 4 and b = -30

Thus, the requried simplified value of a and b are given as 4 and -30 respectively.

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ2

i need to know how to do this one!!!!!!!!!!!! its to raise my grade!!!!!!!!!!
Evaluate the radical.

27−−√3

Enter your answer in the box.

Answers

Answer:

27+square root to 3 is 28.73205081

Step-by-step explanation:

Hope I helped

Other Questions
Write a story about a man who does and then comes back to life and then you have to write it in Spanish or in Vietnamese Wolves live and hunt together in a group called a pack. Typically, there is a leader called an alpha male or alpha female, but each member of the pack plays a special role.This is an example of . Find the volume of the cone 13 lb7 oz + 10 lb2 oz each major political party in america is organized by brainly which is the distance between (-3,4) and (7,13) 2. Latin America is ethnically diverse because of a blending of_*3 poOA. indigenous Americans, Asians, AfricansB. Indigenous Americans, Asians, and EuropeansOC. Indigenous Americans, Europeans, and AfricansOD. Europeans, Africans, Asians Digital signatures are as legally acceptable as written signatures.Digital signatures contain information such as birth date and Social Security number.Digital signatures can be retrieved easily if they are lost.Digital signatures show the handwriting of the signer as physical verification.What is an advantage of using digital signatures? Is ethnic cleansing the same as genocide? find -2-(-.7) help me plz :( How have improvements in communications created a "digital divide"?a. People rely too much on devices for social interaction and struggle to communicate face-to-face.b. People without access to handheld devices are unable to record current events.c. People who use computers for research often fail to give credit to the people who created the original material.d. People who cannot afford computers will be unable to learn the skills needed to work. What are your personal math instincts? ( 1 paragraph) HELP PLEASE write down a formula for the nth term of these patterns. The first term is n = 1.14 ,23 ,32 ,41, 50 = nth term = ?????????-4, -11, -18, -25, -32 = nth term = ??????????? Identifying the Body's Responses toQuickCheckWhich type of response identifies a specific pathogen in the body?A(n)response Please need this by the 16th Please Help!!!! ASAP!! I will mark Brainliest!!! Please awnser CORRECTLY!! No guessing. Jack ran 13.5 miles in 1.5 hours. What was his speed in miles per minute? Problem 1.) A researcher claims that 96% of college graduates say their college degree hasbeen a good investment. In a random sample of 2000 graduates, 1500 say their college degree hasbeen a good investment. At a = 0.05 is there enough evidence to reject the researcher's claim? What was an advantage of NAFTA? aMany manufacturing industries moved their production out of the U.S. bWorkers in Mexico had no labor rights or health protection. cIt eliminated taxes on imported and exported goods in these countries. The ability of Congress to carry out powers that is necessary and proper to carry out its expressed powers is known asA)inherent powersB)expressed powersC)executive powersD)implied powers