MATHEMATICS MIDDLE SCHOOL

Town Hall is located 4.3 miles directly east of the middle school. The fire station is located 1.7 miles directly north of Town Hall.Part A

What is the length of a straight line between the school and the fire station? Round to the nearest tenth.

Part B

The hospital is 3.1 miles west of the fire station. What is the length of a straight line between the school and the hospital? Round to the nearest tenth.

Answers

Answer 1

Answer:

Answer:

a. The length of a straight line between the school and the fire station is 4.6 miles

b. The length of a straight line between the school and the hospital is 2.1 miles

Step-by-step explanation:

See attachment

Given.

Distance between the school and the town hall = 4.3 miles directly east

Distance between the fire station and the town hall = 1.7 miles directly north.

The length of a straight line between the school and the fire station is calculated by solving the length of hypotenuse of the right angled triangle (see attachment A)

Using Pythagoras theorem;

x² = 1.7² + 4.3²

x² = 2.89 + 18.49

x² = 21.38 --- Take square roots

x = 4.6 miles

The length of a straight line between the school and the fire station is 4.6 miles

The length of a straight line between the school and the hospital is calculated by solving the length of hypotenuse of the right angled triangle (see attachment B)

Using Pythagoras theorem;

x² = 1.7² + 1.2²

x² = 2.89 + 1.44

x² = 4.33 --- Take square roots

x = 2.1 miles

The length of a straight line between the school and the hospital is 2.1 miles

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Find the slope and reduce. P = (- 3, 3) Q = (1, 3)

Answers

Answer: slope = 0

Step-by-step explanation:

The formula for finding slope is given as :

$m = (y_(2)-y_(1))/(x_(2)-x_(1))$

$x_(1) = -3$

$x_(2)= 1$

$y_(1)=3$

$y_(2)=3$

substituting into the formula , we have :

$m = (3-3)/(1-(-3))$

$m = (0)/(4)$

$m = 0$

Therefore : slope = 0

jake set up a study schedule the plan called for him to study 1/4 hour 5/8 hour and 1 hour on Monday Tuesday and Wednesday in that order. if he continues with his pattern how long will he study friday

Answers

I think it is 1 7/8 since 1/4 plus 5/8 plus 1 equals 1 7/8

Cindy has printed 45 pages. Each page has 18 stickers. she will cut apart the tickets on each page . How may tickets will Cindy have in all.

Answers

Answer:

810 stickers.

Step-by-step explanation:

Since there are 18 stickers per page, we need to use multiplication to calulate how many stickers we have total.

Our problem is 45*18, since we have 45 pages, each with 18 stickers.

45*18=810

Cindy has 810 stickers in all.

Hope this helps!

Answer:

She'll have 810

Step-by-step explanation:

45x 18= 810

Hope this hlped :)

Gabriella wants to tile a room with an area of 320 square feet. The width of the room is 4/5 its length. What are tge length and width of the room?

Answers

Area = length x width
But width = 4/5 x length
so 320 = length x 4/5length
Rearranged, 320 = 4/5(length)(length)
length x length = length^2
Divide both sides by 4/5
400 = (length)^2
Square root both sides
20 = length

So now you know the length, you can calculate the width.
Width = 4/5 x length
= 4/5 x 20
= 16

Length = 20ft, Width = 16ft

You make punch for a party. The ratio og ginger ale to fruit juice is 8 cups to 3 cups. You decide to add 4 more cups of ginger ale. How many more cupsof fruit juice do you need to keep the correct ratio.

Answers

To get the answer we can use proportion
8 ginger ----------------- 3 fruit
12 ginger ----------------x
Crossmultiply now
8x=12*3 /:8
x= $(12*3)/(8)$
x= $(36)/(8) \n x=4.5$
To not change ratio we have to have 4.5 cups of fruilt juice. We initialy had 3, so we have to add 1.5 cup of fruit juice.

A bike is on sale for $135. It has been marked down 20%. What was the original price of the bike?