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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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Jobisdone [24]

Answer:

x = 2

Step-by-step explanation:

8x + 5 = 3x + 15

8x - 3x + 5 = 3x - 3x + 15

5x + 5 = 15

5x + 5 - 5 = 15 - 5

5x = 10

5x / 5 = 10 / 5

x = 2

6 0
3 years ago
A person plans to invest a total of $3500 in one bank account at 2.2% annual interest and another bank account at 17% annual int
jeka57 [31]

Answer:

$435.3

Step-by-step explanation:

Assuming simple interest

Interest, I=Pi/100 where P is principal amount and i is rate of interest in percentage

For $3500, the interest will be 3500*2.2/100=$77

From total target of $151, the person is less 151-77=$74

Taking x as principal and rate of interest as 17% then

0.17x=74

X=74/0.17=$435.2941176470

Rounded off as $435.3

6 0
3 years ago
Solve the equation x-4/2=10
hodyreva [135]
X-4/2 = 10

x+-2=10

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4 0
3 years ago
Read 2 more answers
Help pls i don’t get it
Assoli18 [71]

Answer:

A = 22.5 m²

Step-by-step explanation:

longest side length

b = √((-7 + 4)² + (-1 - 8)²) = √90

other sides

a = √((-1 + 7)² + (2 + 1)²) = √45

height

h = √((√45)² - (½√90)²) = √22.5

Area of triangle

A = ½bh = ½√90√22.5 = 22.5 m²

a little math shows that this triangle is a tilted half of a square with sides √45

4 0
3 years ago
How many solutions does x^2=9 have
defon

Answer:

Your answer is 1

Step-by-step explanation:

3² = 9 is the only possible solution.

3 0
3 years ago
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