The library is located 1.8 miles west of Callie’s house. The grocery store is located 2.4 miles south of the library. What is the length of a straight line between Callie’s house and the grocery store?

Answers

Answer 1

Answer:

0.6     is the answer

Step-by-step explanation:

Answer 2

Answer:

[tex]3[/tex] Miles

Step-by-step explanation:

[tex]1.8^2+2.4^2=c^2[/tex]

[tex]9=c^2[/tex]

[tex]9-c^2=c^2-c^2[/tex]

[tex]-c^2+9=0[/tex]

[tex]-c^2+9-9=0-9[/tex]

[tex]-c^2=-9[/tex]

[tex]\frac{-c^2}{-1} = \frac{-9}{-1}[/tex]

[tex]c^2=9[/tex]

[tex]c=+\sqrt{9}[/tex]

[tex]c=3[/tex]


Related Questions

what is the inverse of the statement “if i like art class, then i like painting” ?

Answers

Answer:

If I do not like art class, then I do not like painting.

Step-by-step explanation:

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Step-by-step explanation:

given that cosθ 1/3 and θ is acute, what is tanθ?

Answers

Answer:

tanθ=2√2

Step-by-step explanation:

cosθ= 1/3, and θ is acute;

cos²θ=1/9

sin²θ+cos²θ=1

sin²θ=1-cos²θ=1-1/9=8/9

=> sinθ=√(8/9)=2√2 /3

tanθ=sinθ/cosθ

tanθ=(2√2 /3)/(1/3)=2√2

tanθ=2√2

what is 12 times 1-10

Answers

The answer is 2.

Please see the attached picture

Hope it helps

Good luck on your assignment

8.

Hope spent a total of $131 on seven throw pillows. Fancy throw pillows

cost $28 and plain throw pillows cost $15.

Use substitution to solve the linear system of equations and

determine how many fancy pillows, x, and plain pillows, y she bought.

Write the solution to the system as an ordered pair (x,y).

Answers

Answer:

(2, 5)

Step-by-step explanation:

Let the number of fancy throw pillows be x.

Let the number of plain throw pillows be y.

Hope spent a total of $131 on 7 throw pillows.

Fancy throw pillows  cost $28 and plain throw pillows cost $15.

These imply two things:

x + y = 7 _______  (1)

28x + 15y = 131 ___(2)

We have a linear system of equations.

From (1):

x = 7 - y

Substitute the value of f into (2):

28(7 - y) + 15y = 131

196 - 28y + 15y = 131

196 - 13y = 131

=> 13y = 196 - 131

13y = 65

y = 65 / 13

y = 5

This means that:

x = 7 - 5 = 2

Hope bought 2 fancy throw pillows and 5 plain throw pillows

someone please help, this is my last question!

Answers

Answer:

9.5

Step-by-step explanation:

(4)(2) = (2)(4) what property is this out of commutative property , associative property, distributive property

Answers

Answer:

Commutative property

Step-by-step explanation:

This is an example of the commutative property as its states that it is applicable in multiplication and addition where 2 numbers can switch places and give the same result in both situations.

(4)(2) = 8

(2)(4) = 8

Erik decides to save money to buy a new computer. He starts with $100. He then adds a
constant amount each week.
● After 2 weeks, he has $140
● After 4 weeks, he has $180
Write an equation to represent the linear relationship between his total savings, S, in dollars, and the
number of weeks since he started saving, n. (Hint: use the equation Y 2 − Y 1 )

Answers

Answer:

You Can Open up this link to find your answer!!

Step-by-step explanation:

What is the slope-intercept equation for the line below?

Answers

Answer:

y = 2/5x+2

Step-by-step explanation:

First find the slope

m = (y2-y1)/(x2-x1)

    = (4-2)/(5-0)

    =2/5

The y intercept is 2

The slope intercept form is y = mx+b

where m is the slope and b is the y intercept

y = 2/5x+2

Answer:

y = mx + c

1) find the gradient, m

[tex]m = \frac{4 - 2}{5 - 0} [/tex]

[tex]m = \frac{2}{5} [/tex]

2) find value of y-intercept, c

from the graph, c = 2

2) use the formula y=mx+c

y = mx + c

y = 2/5x + 2

the answer is A

Please help me with my math question!!

Answers

Answer:

Step-by-step explanation:

2m

______

2

______ X 0m X 0

1

= 0

The equation a = a equals StartFraction 180 left-parenthesis n minus 2 right-parenthesis Over n EndFraction. represents the angle measures, a, in a regular n-sided polygon. When the equation is solved for n, n is equal to a fraction with a denominator of a – 180. What is the numerator of the fraction?

Answers

Answer:

The numerator of the fraction is -360

Step-by-step explanation:

a=180(n-2)/n

Solve for n

a=180(n-2)/n

Open parenthesis

a=180n-360/n

Cross product

an=180n-360

Collect like terms

an-180n=-360

Factorise

n(a-180)=-360

Make n the subject of the formula

n=-360/(a-180)

The numerator of the fraction is -360

The denominator is (a-180)

Answer:

-360

Step-by-step explanation:

I need help with this math problem.

Answers

Answer:

x = 2 , y = 4

Step-by-step explanation:

If a quadrilateral has diagonals which bisect each other, then it is a parallelogram.

From the parallelogram we see:

2x = y

y = 2x

Substitute y = 2x in 2(y) - 2 = 6, gives:

2(2x) - 2 = 6

4x = 6 +2

x =2

Substitute x = 2 in y = 2x, gives:

y = 2(2)

y = 4

So x = 2 , y = 4

1/8(5y+64)=1/4(20+2y)

Answers

if you’re solving for y, the answer is y=-24

Answer:

-24

Step-by-step explanation:

1/8(5y+64)=1/4(20+2y)

Multiplying both sides of the equation...

1/8(5y)+1/8(64)=1/4(20)+1/4(2y)

1/8(5y)+(64/8)=(20/4)+(2y/4)

1/8(5y)+8=5+y/2

1/8(5y)+8=5+1/2(y)

Now multiplying through by the least common multiple, which is 8

8×1/8(5y)+8×8=8×5+8×1/2(y)

1×1(5y)+64=40+4×1(y)

Simplifying both sides...

5y+64=40+4(y)

5y+64=40+4y

By grouping like terms...

5y-4y=40-64

1(y)= -24

y= -24

hope this was helpful

Jonathan collects postcards and stamps. The number of postcards in his collection is 12 more than the number of stamps. He has 39 postcards in all. If Jonathan has x stamps, which equation represents this situation and how many stamps does he have?

Answers

x + 12 = 39 (this is the equation)
x = 39 - 12
x = 27 (this is the number of stamps he collected)

The side of one square is equal to 3m and its diagonal is equal to the side of a second square. Find the diagonal of the second square.

Answers

Answer:

6m

Step-by-step explanation:

the side of first square = 3 m

area of first square = 3^2= 9 m^2

let the side of second square = x m

since diagonal of first square = x m as per the question

in a square each angle is 90 degree

therefore by applying pythagorus theorem ,

diagonal ^2 = side^2 + side ^2

diagonal^2 = 3^2+3^2=9+9

DIAGONAL= square root of 18

diagonal= 3[tex]\sqrt{2}[/tex] m = side of second square

therefore in second square ,

one angle is 90  degree , therefore by applying pythagorue theorem

diaqonal^2 = side ^2 + side ^2 = (3[tex]\sqrt{2}[/tex])^2 + ( 3[tex]\sqrt{2}[/tex])^2

diagonal ^2 = 18 + 18

diagonal = square root of 36

therefore diagonal of second square is 6m

hope it helps you... please mark me as the brainliest..

Answer:

6m explained it all hope it helps

A caterer charges a fixed cost for preparing a dinner plus an additional cost for each person served. You know that the cost for 100 students will be $1100 and the cost for 150 students will be $1550. Find the caterer’s fixed cost and the cost per student served. Use a system of equations and solve using elimination or substitution.

Answers

Answer:

$10 to $11

Step-by-step explanation:

$1100÷100=$11

$1550÷150=$10.3333333333

A patient was
given
medicine. She took 5 ml of
medicine 3 times in one day. How much medicine did
she take in total that day?

Answers

It’s just 5 multiplied by 3, so 15ml. Hope this helps!

Find two positive consecutive odd integers whose products is 99.

Answers

Answer:

9,11

Step-by-step explanation:

let the numbers be x, x+2 (since consecutive odd integers have a difference of 2)

therefore;

x(x+2)= 99

x²+2x=99

I usually solve the sum like this,

we need to find the nearest square number ( number smaller than the number on the R.H.S)

here, it is 81, whose square root is 9. therefore the solution is 9

verification:

(9)²+2*9=99

81+18=99

99=99

hence, 9 is the solution. therefore the positive odd consecutive integers are  

x=9

x+2=9+2= 11

verification:

9*11=99

99=99

L.H.S=R.H.S

5x+7/2=3/2x-14 please help me with this


Answers

Answer:

x = 5

Step-by-step explanation:

5x + 7/2 = 3/2x - 14

like terms together;

5x - 3/2x = -14 - 7/2

7/2x = 35/2

divide both sides by the reciprocal of the fraction next to the unknown

divide by 2/7

x = 5

Find the 98th term of the arithmetic sequence 8, 24, 40,...

Answers

Answer:

Step-by-step explanation:

AP = 8, 24 , 40....

a = 8 , d =16 , n =98 , An = ?

an= a +(n-1)d

an = 8+97*16

an=8+1552

an=1560

hope it helps you..

The 98th term of the arithmetic sequence ( 8, 24, 40, . . . ) is 1560 ( One thousand five hundred and sixty ).

What is an arithmetic sequence?

An arithmetic sequence is simply a sequence of numbers in which the difference between the consecutive terms is constant.

The nth term is an arithmetic sequence is expressed as;

aₙ = a₁ + ( n - 1 )d

Where aₙ is the nth term, a₁ is the first term in the sequence and d is the the common difference between terms.

Given the data in the question;

n = 98a₁ = 8d = 24 - 8 or 40 - 24 = 1698th term of the arithmetic sequence a₉₈ = ?

We substitute our given values into the expression above.

aₙ = a₁ + ( n - 1 )d

a₉₈ = 8 + ( 98 - 1 )16

a₉₈ = 8 + ( 97 )16

a₉₈ = 8 + 1552

a₉₈ = 1560

Therefore, the 98th term of the arithmetic sequence ( 8, 24, 40, . . . ) is 1560 ( One thousand five hundred and sixty ).

Learn more about arithmetic sequence here: https://brainly.com/question/15412619

#SPJ2

A teacher Buys tickets for each of my students to visit a museum each student and $6.50 and she spent a total of $182 how many students tickets did you buy

Answers

Answer:

The ticket is bought for 28 students.

Step-by-step explanation:

It is given that the teacher is going to buy museum ticket for each students.

Total money spent = $182

Price of each ticket = $6.50

Let total number of tickets bought = [tex]x[/tex]

We know that to find the total amount of money spent on ticket, we can add price of each ticket (i.e. $6.50) [tex]x[/tex] number of times.

OR

In other words, simply multiply the number of tickets with price of each ticket to find the total money spent.

Total money spent = [tex]x \times 6.50[/tex]

We know that total money spent is $182.

[tex]\Rightarrow x \times 6.50 = 182\\\Rightarrow x = \dfrac{182}{6.50}\\\Rightarrow x = 28[/tex]

The ticket is bought for 28 students

Dos hermanos juntaron su dinero para comprar un regalo a su papa entre los dos reunieron 864 que cantidad aporto cada uno si paco dio 5 pesos por cada 7 que dio juan

Answers

Answer:

Paco contributed = 360pesos

Juan contributed = 504pesos

Question:

Two brothers gathered their money to buy a gift for their dad. Between them they gathered 864, which amount each contributed if Paco gave 5 pesos for every 7 that Juan gave.

Step-by-step explanation:

Let the common factor between each brother = p

Paco gave = 5×common factor = 5p

Juan gave = 7×common factor = 7p

Total money contributed by both brothers = 864

Total money contributed by both brothers = 5p + 7p

5p + 7p = 864

12p = 864

p = 864/12

p = 72

Paco contributed = 5p = 5×72 = 360pesos

Juan contributed = 7p = 7×72 = 504pesos

Is 20, 101, and 99 a Pythagorean triple

Answers

Answer:

yes

Step-by-step explanation:

Using the Pythagorean Theorem, we should get 20² + 99² = 101² and we need to check if this is a true statement.

400 + 9801 = 10201

10201 = 10201 so yes, it is.

a number x decreased by 3 is 5.

Answers

Answer:

8

Step-by-step explanation:

X=8 bc 8-3=5

The digits of both the two-digit numbers in the first calculation below have been reversed to give the two-digit numbers in the second calculation. The answers to the two calculations are the same. 62 × 13 = 806 62 × 13 = 806 26 × 31 = 806 26 × 31 = 806 For which one of the calculations below is the same thing true?

Answers

Answer and Step-by-step explanation:

The computation is shown below:

As we assume a and b are together and c and d are together

So, the equation would be

[tex]= ab \times cd[/tex]

[tex]= (10a + b) \times (10c + d)[/tex]

= 100ac + 10(ad + bc) + bd

Now another equation i s

[tex]= ba \times cd[/tex]

[tex]= (10b + a) \times (10d + c)[/tex]

= 100bd  + 10(ad + bc)  + ac

Now take both equations together

So,

100ac  + 10(ad + bc)  +  bd  = 100bd  + 10(ad + bc)  + ac

99ac  =  99bd

ac = bd

Now Like here  a = 2   b = 10  and    c  = 5   d = 1

So,

ac = bd = 10

So we can take an example like this

So, by considering the

[tex]62 \times 13 = 806[/tex]

And,

[tex]26 \times 31 = 806[/tex]

We can the same amount

So in the given question, the choices are not there so we can calculate by the above method

What is the solution to the equation 3(2×+5)=3×+4×?

Answers

The answer is 15 I think

Answer: i think it is 11x+7x

Step-by-step explanation:

Which statement is true?
A. All squares are similar to each other.
B. All rectangles are similar to each other.
C. All squares are similar to each other, and all rectangles are similar to each other.
D. None of these statements are true.

Answers

Answer:

C

Step-by-step explanation:

this is quite confusing

Sadie's Road Paving Company used 750 tons of cement to pave 4 miles of roadway. How much cement, on average, did the company use per mile? Write your answer as a decimal.

Answers

Answer: 187.5 tons of cement

Step-by-step explanation:

From the question, Sadie's Road Paving Company used 750 tons of cement to pave 4 miles of roadway. To calculate the number of cement on average that the company use per mile, we divide 750 tons of cement by 4 miles. This will be:

= 750 tons of cement/4

= 187.5 tons of cement

The company used 187.5 tons of cement per mile.

Answer: The company used 187.5 tons per mile.

Step-by-step explanation:

Hi, to answer this question we simply have to divide the amount of cement used (750 tons) by the miles that the company pavemented (4 miles):

Mathematically speaking:

750 t / 4 m = 187.5 tons per mile

The company used 187.5 tons per mile.

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

What is the measure of

Answers

Answer:

B= 55°

Step-by-step explanation:

A+B+C= 180°

90°+B+35°=180°

B= 55°

If an^2 =b then in terms of a and b , n=?

Answers

Answer:

√b/a

Step-by-step explanation:

an^2 =bn^2=b/an=√b/a

Answer:

n = ± [tex]\sqrt{\frac{b}{a} }[/tex]

Step-by-step explanation:

Given

an² = b ( divide both sides by a )

n² = [tex]\frac{b}{a}[/tex] ( take the square root of both sides )

n = ± [tex]\sqrt{\frac{b}{a} }[/tex]

What is the area of this composite figure?
10 cm
10 cm
10 cm
16 cm
6 cm
10 cm
1
10 cm
10 cm
96 cm2
160 cm?
208 cm?
256cm2

Answers

Answer:

[tex]256cm^2[/tex]

Step-by-step explanation:

Calculate the area of the two triangles first: 6 * 16 = 96

Then the rectangle: 10 * 16 = 160

160 + 96 = 256

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