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denpristay [2]
3 years ago
5

From his home, Dan would have to walk due north to get to his friend Samuel's house and due east to get to his friend Cindy's ho

use. It is 3 kilometers from Dan's house to Cindy's house and a straight-line distance of 5 kilometers from Samuel's house to Cindy's house. How far is Dan's house from Samuel's house?
Mathematics
1 answer:
maksim [4K]3 years ago
4 0

The distance from Dan's house to Samuel's house is 4 km

The distance from Dan to Samuel house, Dan to Cindy house and Samuel to Cindy house forms a right angled triangle.

Distance from Dan to Samuel house = x, Distance from Dan to Cindy house = 3 km and Distance from Cindy to Samuel house = 5 km

Pythagoras theorem shows the relationship between the lengths of a right angled triangle.

Using Pythagoras theorem:

5² = x² + 3²

25 = x² + 9

x² = 16

x = 4 km

Hence the distance from Dans house to Samuel's house is 4 km

Find out more at: brainly.com/question/21846482

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Answer:

6(4+3t)

Step-by-step explanation:

Well, some of the common factors that 24 and 18 share are 2, 3, and 6.

The greatest factor is 6.

Divide 24/6=4

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6(4+3t)

Because 6x4=24

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8 0
3 years ago
Read 2 more answers
Which is a unit rate?<br> 15 miles per gallon
Over [174]

Step-by-step explanation:

Step:1

          From given, the rate is

                          = 15 miles per gallon

                          = \frac{15}{1}115 = 15 miles.........................(1)

Step:2

         Check for Option A,

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                           = \frac{30}{3}330 = 10 miles.....................(2)

         From the eqn (1) and (2),

                                 Eqn (1) ≠ Eqn (2)

Step:3

           Check for Option B and C are not match with given because, Miles provided first or top then the gallons provided the last or bottom.

Step:4

         Check for Option  D,

                           = 60 miles per 4 gallons

                           = \frac{60}{4}460 = 15 miles.........................(3)

           From the eqn (1) and (3),

                              Eqn (1) ≠ Eqn (3)

Result:

         The equivalent unit rate for 15 miles per gallon is 60 miles per 4 gallons (\frac{60 miles}{4 gallons}4gallons60miles ) .

                         

6 0
2 years ago
In a study commuting patterns of people in a large metropolitan area, respondents were asked to report the time they took to tra
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Answer:

b. a person

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3 years ago
Q.16 please<br> With steps
blsea [12.9K]

The equations

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8 0
3 years ago
What percent of 2000 is 160?<br> Show work
ArbitrLikvidat [17]

Hello from MrBillDoesMath!

Answer:

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Discussion:

Let the percent be denoted "p". Then

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2000* p/100 = 160 =>

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p = 8 or .08%



Regards,  

MrB


5 0
3 years ago
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