Your school is 20 blocks east and 12 blocks south of your house. The mall is 10 blocks north and 7 blocks west of your house. You plan on going to the mall right after school. Find the distance between your school and the mall assuming there is a road directly connecting the school and the mall. One block is 0.1 mile. Round your answer to the nearest tenth of a mile.




















































Your school is 20 blocks east and 12 blocks south of your house. The mall is 10 blocks north and 7 blocks west of your house. You plan on going to the mall right after school. Find the distance between your school and the mall assuming there is a road directly connecting the school and the mall. One block is 0.1 mile. Round your answer to the nearest tenth of a mile.

Answers

Answer 1

Answer:

  3.5 miles

Step-by-step explanation:

The straight line distance from the school to the mall is found using the Pythagorean theorem. That distance is the hypotenuse of a triangle that is 27 blocks in the east-west direction and 22 blocks in the north-south direction.

  d = √(27^2 +22^2) = √1213 ≈ 34.83 . . . blocks

Since each block is 0.1 miles, the distance in miles is ...

  distance to mall = (0.1 miles/block)(34.83 blocks) = 3.483 miles

Rounded to tenths, the distance from school to mall is 3.5 miles.

Your School Is 20 Blocks East And 12 Blocks South Of Your House. The Mall Is 10 Blocks North And 7 Blocks

Related Questions

Which is the measurement of 144 ounces? A: 12 pounds B: 9 pounds C: 18 pounds D: 16 pounds

Answers

Answer:

B

Step-by-step explanation:

because the mass value is 16 x 9pounds equals 144

B is the correct answer bro and girl

5y^2+5−4−4y^2+5y^2−4x^3 −1

Answers

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{4 {x}^{3} + 6 {y}^{2} }}}}}[/tex]

Step-by-step explanation:

[tex] \sf{5 {y }^{2} + 5 - 4 - 4 {y}^{2} + 5 {y}^{2} - 4 {x}^{3} - 1}[/tex]

Collect like terms

⇒[tex]\sf{ 4 {x}^{3} + 5 {y}^{2} - 4 {y}^{2} + 5 {y}^{2} + 5 - 4 - 1}[/tex]

⇒[tex] \sf{4 {x}^{3} + {y}^{2} + 5 {y}^{2} + 5 - 4 - 1}[/tex]

⇒[tex] \sf{4 {x}^{3} + 6 {y}^{2} + 5 - 4 - 1}[/tex]

Calculate

⇒[tex] \sf{4 {x}^{3} + 6 {y}^{2} + 1 - 1}[/tex]

⇒[tex] \sf{4 {x}^{3} + 6 {y}^{2} }[/tex]

Hope I helped!

Best regards! :D

9x+12x-21=27
How do I solve ?

Answers

You gotta combine like terms which would be 9x and 12x which gives you 21x .

What is the number in scientific notation of 0.0765

Answers

Answer:

7.65x10^-2  should be your answer

Step-by-step explanation:

ACBM is a segment of a circle such
that CM is the perpendicular bisector of AB.

If ICM 4 cm and IABI= 16 cm, calculate:
a the radius of the circle of which ACBM is a
segment
b the angle that chord AB subtends at the
centre of the circle
c the area of the segment.​

Answers

Answer:

a. 8.94 cm  b. 127°  c. 12.37 cm²

Step-by-step explanation:

a. Since CM = 4 cm is the perpendicular bisector of AB = 16 cm and r is the radius off the circle. From Pythagoras' theorem,

r² = (AB/2)² + CM²

r = √[(AB/2)² + CM²]

Substituting the values of the variables into r, we have

r = √[(16/2)² + 4²]

r = √[8² + 4²]

r = 4√[2² + 1²]

r = 4√[4 + 1]

r = 4√5 cm

r = 8.94 cm  

b. We know that the length of a chord L = 2rsin(θ/2) where r is the radius of the circle, and θ is the angle subtended by the chord AB.

Since L = 2rsin(θ/2)    and L = AB = 16 cm,

L/2r = sin(θ/2)

taking sine inverse of both sides, we have

θ/2 = sin⁻¹(L/2r)

multiplying both sides by 2, we have

θ = 2sin⁻¹(L/2r)        

substituting the values of the variables, we have

θ = 2sin⁻¹[16/(2 × 8.94)]

θ = 2sin⁻¹[16/17.88]

θ = 2sin⁻¹[0.8949]

θ = 2 × 63.49°

θ = 126.98°

θ ≅ 127°

c. The area of a segment A is given by

A = (θπ/360 - sinθ)r²/2 where θ is the angle subtended by the segment and r = radius of the circle

since θ ≅ 127° and r = 4√5 cm, substituting these values into A, we have

A = (127°π/360 - sin127°)(4√5)²/2

A = (398.93/360 - 0.7988)40

A = (1.1081 - 0.7988)40

A = 0.3093 × 40

A = 12.372 cm²

A ≅ 12.37 cm²

9. If DF = 42, find DE.
7x+1 4x-3
DEF what is DE​

Answers

Answer:

29

Step-by-step explanation:

So DF = 42, And we know that DF = DE + EF

Therefore (7x+1) + (4x-3) = 42

11x -2 = 42

11x = 44

x = 4

Substitute x = 4 onto DE equation, so 7(4) +1

= 29.

The required measure of line segment DE is 29.

Given that,
A line segment DF is given,
E is a point on the  segment DF, where DE = 7x +1 and EF = 4x - 3
and DF = 42,
To determine the measure of DE.

What is a line?

A line is a straight curve showing the shortest distance between 2 points.

Here,
DF = DE + EF
From the given put the values of  DF = 42, DE = 7x +1 and EF = 4x - 3
42 = 7x + 1 + 4x - 3
42 = 11x - 2
11x = 44
x = 4

DE = 7x + 1
Put the value of x in above equation,
DE = 7 * 4  + 1
DE = 28 + 1
DE = 29

Thus, the required measure of the DE segment is 29.

Learn more about lines here:

brainly.com/question/2696693

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Calculate unit _____ for rates to compare quantities

Answers

Answer:

rate

Step-by-step explanation:

Calculate unit rate for rates to compare quantities

12. Find the area of the rectangle. + 2​

Answers

Answer:

The formula for the rectangle is base times the height. Since theres

no picture. SORRY!!

Step-by-step explanation:

What is the range of the data? 2,8,7,8,6,15,6,3,8

Answers

Answer:

13

Step-by-step explanation:

The range of a data set is the difference between the greatest and least values in the set. In this case, the greatest value is 15 and the least value is 2 so the range is 15 - 2 = 13.

Is 8 a solution to -2(x + 10) + 4 = -32? True or False

Answers

Step-by-step explanation:

-2(x + 10) + 4 = -32

-2(x + 10) = -32 -4

-2(x + 10) = - 36

x + 10 = (-36)/(-2)

x + 10 = 18

x = 18 - 10

x = 8

8 is a solution ... true

Three fences on a ranch measure 15/16 mile, 7/8 mile, and 7/16 mile. Which is the best estimate of the total length of all three fences. *

Answers

Answer:

deez

nuts

Step-by-step explanation:

"Four more than the quotient of a number and 3 is at most 9."

Answers

Answer:

(n/3) + 4 ≤ 9

Step-by-step explanation:

"Four more than the quotient of a number and 3" is represented by

n/3 + 4

and this quantity is "at most 9:"

And so we get:

(n/3) + 4 ≤ 9

find the distance between each points (-1,4) (1,-1)

Answers

Answer: The distance is about 5.39 units

Step-by-step explanation:

To find the distance between the two points find the difference in the x and y coordinates and square them to add them and find their square root.

4-(-1) = 5

-1 -1 = -2

5^2 + -2^2 = d^2  where d is the distance

25 + 4 = d^2

29 = d^2

d = [tex]\sqrt{29}[/tex]

d= 5.39

how is the graph misleading?

Answers

Answer:

This graph is misleading because the colours of them are different.

Hope this helps!

(-5)-9=
A.-19
B.-9
C.9
D.19

Answers

Answer:

-14 is the answer

cos' -5 - 9 is like you owe 5 dollars and you owe 9 dollars that is you owe 14 dollars so because you owe it will be -14

Step-by-step explanation:

Please mark me as the brainliest. It really helps

The answer is 345. Use these numbers 10, 3, 4, 5, 2, 1, 100 to get 345

Answers

Answer:

Step-by-step explanation:

100 + 100 + 100 + 10 + 10 + 10 + 10 + 5

The question is primarily asking you to use the terms given to get the number given. As there is no rule written for this one, it is easier. Usually, or later on, they may give you a sequence in which you will plug in terms to obtain the results. In cases like that, you must remember to follow PEMDAS.

PEMDAS =

Parenthesis

Exponents & Roots

Multiplication

Division

Addition

Subtraction

& is the order of operation.

~

Answer:  10 × 3 + 4 + 5 × 2 + 1 + 3 × 100

Step-by-step explanation:

10 × 3 + 4 + 5 × 2 + 1 + 3 × 100 = 345

Using PEMDAS, multiply first ... then add/subtract.

30 + 4 + 10 + 1 + 300 = 345

      34 + 10 + 1 + 300 = 345                  

              44 + 1 + 300 = 345

                   45 + 300 = 345      

                           345 = 345            

can someone help me solve -2(8m+8)=-16

Answers

-2(8m+8)=-16

divide both sides of the equation by -2

8m+8 = 8

then cancel like terms on both sides

8m = 0

divide both sides by 8

m= 0

Plz help fast aaaaaaaaahhhhhhhh

Answers

Answer:

70

Step-by-step explanation:

250 costumers who bought gas

72% of the costumer made an additional purchases.

find:

how many of the costumers made additional purchases?

solution:

250 - (0.72 x 250) = 70

(01.05 LC)Which fraction is equivalent to negative 4 over 6? A.) 6 /-4 B.) - 6/4 C.) 4 /-6 D.) 4/6 I NEED HALP OR ELSE IMANA DIE HERE PLSS HELPPPPP!!!!!!!!

Answers

Answer:

C

Step-by-step explanat:

Hope thats right

Answer: -4 over 9 hope this works

Step-by-step explanation:

You and a friend are heading to the movies. You each buy a ticket and you also want to buy some refreshments. The total cost of admission per person is, a, is $7.50 and you spent $15.50 on refreshments. Write an expression to represent the total cost of the trip. Then, find the total cost.

Answers

$7.50•2= $15.00
15.00+$15.50= $30.50 in total good luck :)))

Answer:

how did you find the answer of 1 ticket

Step-by-step explanation:

Brainliest for correct answer

Answers

Here. The paper gives a little bit of an explanation...

Betty makes pies. to make 6 pies, she uses 7 1/2 cups of flour. How many cups of flour are needed to make one pie Please submit the improper fraction and a mixed number. If you don´t, be surprised when your answer gets reported <3

Answers

Answer:

1 1/4 or  5/4 cups of flour

Step-by-step explanation:

7 1/2 divided by 6 equals 1 1/4.

hope this helps you :)

Answer:yes

Step-by-step explanation:

a middle school counselor randomly sampled students about their favorite subjects. According to the table, what is the total number of students participating in the random sample? answer

Answers

Hi kamusta ka naman?

Answer:

67+72+65= 204

Step-by-step explanation:

what is the measure of X?
angles are not necessarily drawn to scale

Answers

Answer:

xº=71º

Step-by-step explanation:

Take the triangle BDH

Once the sum of interior angles of a triangle is 180º:

40º+31º+yº=180º

71º+yº=180º

yº=109º

Once yº and xº are supplementary angles (add up to 180º):

yº+xº=180º

109º+xº=180º

xº=71º

If ∠DBE is 40° and ∠BDC is 31° then the angle x will be equal to 71°.

What is triangle?

A triangle is a two dimensional figure having three sides, three angles and the sum of all the angles is equal to 180°.

How to find angle?

We have been given ∠DBE=40° and ∠BDC=31° and we have to find the angle ∠IHE which is x°.

Let the angle DHB equal to y.

In ΔBDH

∠DBH+∠BDH+Y=180 { Sum of all angles in a triangle is equal to 180}

40+31+y=180

71+y=180

y=180-71

y=109°

We know that sum of two angles on a line is equal to 180°.

So, x=180-109

x=71°

Hence the value of x is 71° if ∠BDC=31° and ∠DBE =40°.

Learn more about triangles at https://brainly.com/question/17335144

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what is the value of x (x+2)(x-3)=0

Answers

Answer:

x = 3 or x = -2

Step-by-step explanation:

Solve for x over the real numbers:

(x + 2) (x - 3) = 0

Hint: | Find the roots of each term in the product separately.

Split into two equations:

x - 3 = 0 or x + 2 = 0

Hint: | Look at the first equation: Solve for x.

Add 3 to both sides:

x = 3 or x + 2 = 0

Hint: | Look at the second equation: Solve for x.

Subtract 2 from both sides:

Answer: x = 3 or x = -2

There are two diferent maps of Ohio.

◦The scale on the first map is 1 cm to 10 km. The distance from Cleveland to Cincinnati is 400km.
◦The scale on the second map is 1 cm to 50 km.

What is the distance from Cleveland to Cincinnati on the second map? Explain your reasoning.

Answers

The distance from Cleveland To Cincinnati on the second map is 8 cm because every cm is 50 km

Which numbers in set A = {-7,-4,2,14,21,34,42} are elements of both set B and set C, shown below?

Set B= {even numbers} Set C= {multiples of 7}

_______ or ________
Enter answers from smallest to largest

Answers

Answer:

Hey there!

The numbers in set A and B are 14, and 42.  

Let me know if this helps :)

Answer:

14 & 42

Step-by-step explanation:

Because they are the only even numbers found in set A. And also found in the multiplies of 7 in set B.

Evaluate each expression. 6 ÷ 6 + z + x − y; use x = 2, y = 5, and z = 6

Answers

Answer:

4

Step-by-step explanation:

6/6+6+2-5=

A food truck sells tacos for 6.50 each and burritos for 7.50 each. The food truck's revenue from selling a total of 164 tacos and burritos in one day is 1157.00. How many tacos and burritos were sold that day?

Answers

Answer:

12 burritos and 167 tacos

Step-by-step explanation: 164 x 6.5 = 1066

1157 - 1066 = 91

91/7.5 about 12

164 tacos and 12 burritos

1.) Given N is between M and P. If MN = 3x +2, NP = 18, and MP = 5x find the length of each
segment

Answers

Step-by-step explanation:

MN=MP+PN

3X+2=5X-18

2X=20

X=10

MP=50

MN=32

NP=18

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