From his house, Tristan could drive due north to get to his parents' house or he could drive due east to get to his grandparents' house. It is 6 miles from Tristan's house to his parents' house and a straight-line distance of 6.4 miles from his parents' house to his grandparents' house. How far is Tristan from his grandparents' house? If necessary, round to the nearest tenth.

Answers

Answer 1

Answer:

[tex]TG = 2.2[/tex]

Step-by-step explanation:

Represent Tristan's house with T, his grandparent's with G and his parents with P.

Such that:

[tex]TP = 6[/tex]

[tex]GP = 6.4[/tex]

Required

Find TG

To solve this, we make use of Pythagoras Theorem which is represented as:

[tex]GP^2 = TP^2 + TG^2[/tex]

Substitute values for GP and TP

[tex]6.4^2 = 6^2 + TG^2[/tex]

[tex]40.96 = 36 + TG^2[/tex]

Collect Like Terms

[tex]TG^2 = 40.96 - 36[/tex]

[tex]TG^2 = 4.96[/tex]

[tex]TG = \sqrt{4.96[/tex]

[tex]TG = 2.2[/tex] --- Approximated

Hence, the distance between Tristan ans his grandparent's house is 2.2 miles

From His House, Tristan Could Drive Due North To Get To His Parents' House Or He Could Drive Due East

Related Questions

!!!!!!!!!!!!!help please!!!!!!!!

Answers

Answer:

Quadrilaterals

Step-by-step explanation:

Because they all have 4 sides.

I think b sorry if I was wrong :(

6-3/8 I need help please

Answers

Answer:

5.625

Explanation:

5 5/8 is the answer (pretty sure)

pls help me asap pls is all im asking for people this is for a final nd like ye im stressin.
will give brainliest

Answers

it wouldn’t let me cancel to answer this but i do not know the answer and i had to type something to exit it. i’m sorry

Line A passes through points (2, 9) and (7, 3). Line B passes through points (1, 4) and (7, 9). Are line A and line B parallel or perpendicular?

Answers

they are perpendicular (mark brainliest pls)

Joe worked 5 days this week and earned $1,100. He paid 6% in State tax. What is Joe's net pay?

Answers

Answer:

1034$

Step-by-step explanation:

1100/100×6=66$

1100-66=1034$

Jean spent $37.50 for 500 paperclips. How much did he pay for each paperclip?

Answers

He would have paid about 0.075 for each paper clip, which is about 7 and a half cents. Have a lovely day

a,3x+2,b form an arithmetic sequence.if the common difference is 2x - 1 , what is A equal to?​

Answers

Answer:

x + 3

Step-by-step explanation:

3x+2 is the 2nd term

2x-1 is the commind difference (d)

so you just need to substract it

3x+2

-(+2x-1) -------transpose -2x+1

3x+2

-2x+1

---------

x+3

Answer:

a is equal to x + 3

Step-by-step explanation:

Arithmetic Sequences

The arithmetic sequences are identified because any term n is obtained by adding or subtracting a fixed number to the previous term. That number is called the common difference.

We are given the sequence:

a, 3x+2, b

And the common difference is 2x-1

Subtracting the second and the first terms:

3x + 2 - a

We can find the common difference since it's given:

3x + 2 - a = 2x - 1

Solving for a:

- a = -3x - 2 + 2x - 1

- a = -x - 3

a = x + 3

a is equal to x + 3

What is the solution to the system below?
y = -3x - 2
6x + 2y = -4

Answers

Answer:

Infinitely many solutions

Step-by-step explanation:

Since y=-3x-2, plug it in (2)

6x+2(-3x-2)=-4.

Distribute:

6x-6x-4=-4

-4=-4

Infinetly many solutions.

Hope this helps :)

a mat is 3m long and xm wide what is the area in m²​

Answers

Answer:

3x m²

Step-by-step explanation:

Area is length × breadth

So

A= 3 × x

A= 3x m²

Find the y-intercept and x-intercept of the line.
5x-3y=10

Answers

y intercept = -10/3
x intercept = 2
the solution is in the pic below
(Sorry if it’s wrong!)

Answer:

strategy:  put this equation into slope intercept form  y = mx + b

then it is easier to find x and y intercepts

Step-by-step explanation:

5x-3y=10

5x-10=3y

5/3x - 10/3 = y

y = 5/3x - 10/3

when x is zero then y is - 10/3, that's the  y intercept

when y is zero then x is 2,  that's the x intercept

:)

anyone help!!!!! he due in 30

Answers

2 is the correct answer

the total distance that fred amy and leah need to drive is 180 miles. fred will drive 65 miles and leah will drive 45 miles. how many miles will amy need to drive

Answers

Answer:

Amy needs to drive 70 miles.

Step-by-step explanation:

180-(65+45)=?

180-(110)=70

Round 3292.53429 to the nearest hundred thousandth

Answers

Answer:

The answer is "0.00001"

Step-by-step explanation:

Given value:

[tex]\to 3292.53429[/tex]

when we round a hundred thousandths (100,000) value. So, the given rounding 3292.53429 to the nearest 0.00001.

*extra points* solve [tex]\sqrt[3]{64}[/tex]

Answers

Answer: The answer is 4.

Step-by-step explanation: You'll need to simplify the radical by breaking the radicand up into a product of known factors, assuming real numbers: [tex]4^{3}=64[/tex].

The diameter of a pearl is about 4 x 10-3cm and the diameter of an atom is about10-11m. How much larger than an atom is a pearl?Show your work.

a)14x 10∧-14times b) 4 x 10 ∧-14timesc) 14x 10∧-11times d) 4 x 10∧6times

Answers

Answer:

D. 4 × 10⁶ times

Step-by-step explanation:

The diameter of a pearl is

4 × 10⁻³cm = 4 × 10⁻⁵ m

The diameter of an atom is

10⁻¹¹m

How much larger than an atom is a pearl?

4 × 10⁻⁵ ÷ 10⁻¹¹ = 4 × 10⁻⁵⁺¹¹ = 4 × 10⁶ times

Correct option is D

Express 27 4/3 in simplest radical form

Answers

Answer:

3⁴

Step-by-step explanation:

Expressing in the simplest radical form means simplifying a radical so that there are no more square roots, cube roots, fourth roots etc.

It further means removing radicals in the denominator of a fraction.

Given

[tex]27^{4/3}[/tex]

this can be written as

[tex](\sqrt[3]{27} )^{4}[/tex]

This is simplified as;

(3)⁴

If Zoe has 9 apples, and each apple were 9 grams of sugar. How many grams of sugar does Zoe ate if see eats 9 apples each day this week.

Answers

Answer: 567

Step-by-step explanation: 9*9=81  then you take 81 and times it by however many days there is in the week (aka 7) 81*7=567

f(x) = StartLayout Enlarged left-brace 1st row 1st column negative 1 2nd column x less-than negative 1 2nd row 1st column 0 2nd column negative 1 less-than-or-equal-to x less-than-or-equal-to 1 3rd row 1st column 1 2nd column x greater-than 1 EndLayout

Answers

Answer:

C    {–3, 2, 5}

Step-by-step explanation:

{–3, 2, 5}

Answer: D

Step-by-step explanation:

It’s 4=D

it takes 12 people to pull 30 tons of goods how many people would it take to pull 60 tons of goods ​

Answers

Answer:

24

Step-by-step explanation:

60 is double of 30 so double 12 to get your answer, 12 time two is 24

HELPP! Find the y-intercept of the line on the graph.
Enter the correct answer

Answers

Answer:

-2

Step-by-step explanation:

The y-intercept of the line is -2

Answer:

-2

Step-by-step explanation:

because  the line is on the -2 on the y axis

Help pleasseeeeeeeeeeeeeeeeeee

Answers

Answer:

welp

Step-by-step explanation:

Any help with this? I need help solving.

Answers

Answer:

By AAS or AAA congruence, you can prove it.

I hope it will be useful .

Step-by-step explanation:

angleG=angleE (given)

Corresponding opposite angles formed by the transversal are equal! i.e., angleFDG=angleDFE or vice-versa..

And the side is common! or you can prove it by AAA criteria (two pairs of equal angles made by the transversal)

I thought of a number. I divided that number by 4 and added 6 to it. The result was 8. What was my number?

Btw this is supposed to be a fun-like math question :)

Answers

Answer:

8

Step-by-step explanation:

x÷4+6=8 x=8loooooooooooooooooooooooooooooooooooool

Write 2 and 7/100 in decimal form

Answers

Answer:

2.0 and 0.07   or 2.07

Step-by-step explanation:

hope this helps :)

The decimal form of numbers 2 and 7/100 is, 2.07

We have to give that,

Write 2 and 7/100 in decimal form.

Now, Write 2 and 7/100 in decimal form as,

⇒ 2 and 7/100

⇒ 2 7/100

⇒ (100 × 2+ 7)/100

⇒ 207/100

⇒ 2.07

Hence, the Number is, 2.07

To learn more about the Number system visit:

https://brainly.com/question/17200227

#SPJ6

(-3 - 4n) + (9n + 6x) + (7x+5) =

Answers

Answer:

5n+13x+2

Step-by-step explanation:

simplify

−3−4n+9n+6x+7x+5

=−3+−4n+9n+6x+7x+5

Combine Like Terms:

=−3+−4n+9n+6x+7x+5

=(−4n+9n)+(6x+7x)+(−3+5)

=5n+13x+2

Answer:

the answer is 5n+13x+2

Step-by-step explanation:

just trust the answer

Is 120 divisible by 3 and 4

Answers

Answer:

Yes

Step-by-step explanation:

120/3 = 40 and 120/4 = 30

Answer:

30 is the answer to this question

Consider the following triangle side lengths and determine if the triangle could exist. Justify your answer. Part A: 21,18,17 Part B: 3,12,8

Answers

Answer:

A yes, B no

Step-by-step explanation:

The triangle inequality states that the sum of any 2 sides of the triangle must be greater than the third side.

A Given 21, 18, 17 , then

21 + 18 = 39 > 17

21 + 17 = 38 > 18

18 + 17 = 35 > 21

Thus the triangle could exist

B Given 3, 12, 8 , then

3 + 12 = 9 > 8

3 + 8 = 11 < 12 ← fails the test

Thus the triangle does not exist

A customer placed an order with a bakery for cupcakes.

Answers

Answer:

is there more to this question because as it's it's it's just a statement

Answer:

What  kind of order? Did they order chocolate?

Step-by-step explanation:

What is 80/10 simplifyed

Answers

Answer:

The fraction 80/10 in its simplified form is 8/1 or simply 8.

Step-by-step explanation:

Given fraction is:

80/10

We have to write it in its simplest form.

As 80 and 10 both are multiples of 10, therefore, simplifying the fraction

80/10 = 8/1

Hence,

The fraction 80/10 in its simplified form is 8/1 or simply 8.

A group of 3 friends are practicing for a track meet. The group is going to run 7 12 miles total. If they each run the same distance, how far will each person run?

For full points:

1) Show your thinking step by step on how you solved this problem.

2) Do not forget to include the final answer.


pls hurry ;-;

Answers

Wait, I can answer this, but I have a quick question. Is it 712 miles or 7/12 miles?
Other Questions
How are some protists able to live in air. Please help! Will mark brainlist Please give me the correct answer write the decimal equivalent of the following: seven hundred seventy-five thousandths? When this ink filler is dipped into a beaker of water and the bulb is pressed, air bubbles appear in the water. Why does this happen?A. Air in the atmosphere forms the bubbles.B. The air in the ink filler is released to form bubbles.C. The liquid rushes into the filler forming bubbles.D. The air in the water forms bubbles. Which of the following is an example of a company increasing its market penetration? A. Taking customers away from competitors B. Selling existing products to new target markets C. Selling new products to the existing target market D. Selling new products to new target markets Object A is moving 5 feet every 2 seconds. Object B is moving 6 feet every 3 seconds. witch is faster. Long form EC for Aluminum during breathing cycle what is the advantages of residual volume of air in lungs When you give the authors or editors' names in a works cited citation, which of the following things do you need to include? A. Tides, such as Dr., Mr., and Sir B. Degrees, such as PhD, MD, and DDS C. Suffixes, such as Jr. and Ill D. Full middle names Dr. Diwan wants Kays prescription to only be filled once. Which abbreviated instruction should Dr. Diwan include on her prescription?NRNPOD.A.W.e.m.p. Choose the verb below that completes the following sentence, which translates to "They are brothers." Ils ____ freres.A. suisB. aiC. sontD. ont HELP ME PLZFind the slope of the line passing through the points (8, -2) and (3, -6).05Undefined? ? How do you calculate 1/4 of 4 dozen and get the correct answer? for the figure shown below, find the value of the variable and the measures of the angles. x= measure of angle P=measure of angle Q=measure of angle R= What is the solution of StartRoot negative 4 x EndRoot = 100? 16. The colony established by Martn De Len differed from the DeWitt colony because it was F. farther northG. twice as largeH. settled by Mexican familiesJ. home to Irish Catholic immigrants How running in the family novel differ from other novel __ 62, 82, 102, __, 142, 162, 182, __, 222 fill in the blanks Which event happened first (1st)?A. French and Indian WarB. Treaty of Paris 1763C. Proclamation Line of 1763D. Pilgrims arrive in Plymouth F. MassachusettsWhich one happened 2nd?Which one happened 3rd? Which one happened 4th? Steam Workshop Downloader