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Liula [17]
3 years ago
5

City A is 10 miles from city B and 5 miles from city C. Cities A, B, and C form a right triangle at A. A road connects cities B

and C directly. Find the length of this road.
Mathematics
1 answer:
laila [671]3 years ago
3 0

Answer:

11.18 miles

Step-by-step explanation:

The sides of a right triangle a, b, c are related by the equation

a^2 + b^2 = c^2

where c is the longest side of the triangle

Hence given that A connects B and C directly and forms a right angle at A

5^2 + 10^2 = c^2

Where c is the length of the road

25 + 100 = c^2

125 = c^2

c = 125^1/2

= 11.18 miles

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Mandarinka [93]

Given that the length of side of shaded area is 1 ft.

Making equal square of size of shaded area we have:

Horizontally number of shaded area are 12

Vertically number of shaded area are 11

So, the horizontal length of big rectangle is 12 ft.

The vertical length of big rectangle is 11 ft.

Area of big rectangle is 12*11

Area of given rectangle is 132 sq.ft.

6 0
3 years ago
Please help!!!!!<br> I'll give brainliest
7nadin3 [17]

Answer:

The ranger will need to clear trail for more than 10 2/3 additional hours.

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Solve for x. 3x/2 = 15
defon

3x : 2 = 15

3x = 15 * 2

3x = 30

x = 30 : 3

x = 10

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6 0
3 years ago
A number equals six less than four times a number. What is the number?
WITCHER [35]

Answer:

1.5

Step-by-step explanation:

set x = 6

and x less than four time of 6

it may mean 6÷4

6÷4 = 1.5 #

7 0
3 years ago
Ms. Hamm bought a new car for $37,500. It is said that her car depreciates at a rate of 7% each year
Alona [7]

Answer:

This would mean that the next year her car's value would go down by $2,625. The new value of the car would consequently be $34,875.

<h3><u>Step-by-step explanation:</u></h3>

<em>Here is how you can solve this problem:</em>

  • Okay, so first, let's find 7% of $37,500. To do this, the simple way would be to find first 1% of $37,500.

  • 1% of $37,500 is $375. This is because you are moving the decimal point two spaces to the left.

Now that we know that 1% of $37,500 is $375, let's multiply this value by 7.

  • 375 x 7 = 2625.

  • Subtract 2625 from 37,500.

  • You will get $34,875.

Let's say that the next year, her car value goes down by 7% again.

THIS IS THE IMPORTANT PART:

<em>YOU FIND 7% OF THE NEW VALUE, NOT $37,500. YOU WOULD FIND 7% OF $34,875.</em>

<em>Hope this helps! :) </em>

6 0
3 years ago
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