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Zarrin [17]
2 years ago
11

Is the length of the hypotenuse of a right triangle with legs that mea-

Mathematics
1 answer:
icang [17]2 years ago
4 0
Answer:
Irrational Number

Step-by-step explanation:
So, since it's a right triangle, you can use Pythagorean Theorem to calculate the measure of the hypotenuse.

Pythagorean Theorem says the hypotenuse squared = the sum of the sides squared.

5² + 6² = 25 + 36 = 61

And the square root of 61 is 7.8102496.... and the decimal continues in no distinguishable pattern. Therefore, the length of the hypotenuse is an irrational number.
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At time t=0 hours, a tank contains 3000 litres of water. Water leaks from the tank. At the end of every hour there is x% less wa
Margaret [11]

Answer:

x = 2; K = 0.98

Step-by-step explanation:

At time, t = 0, Volume of Water = 3,000 litres

After t hours , the Volume of water in the tank = Vt

At the end of every hour there is a x% less water in the tank then at the start of the hour

After 1 hour, volume of water left Vt = V1

V1 = 3,000 - 3000 × (x/100)

V1 = 3,000 - 30x

After 2 hours, Volume of water left is V2

V2 = (3,000 - 30 x) - (3,000 - 30 x) × (x/100)

V2 = (3,000 - 30 x) - (3000x - 30x²)/100

V2 = {100(3000 - 30x) - x(3000 - 30x)} /100

V2 = {(3000 - 30x)(100 - x)}/100

Recall, V2 = 2881.2

Therefore

{(3000 - 30x)(100 - x)}/100 = 2881.2

(3000 - 30x)(100 - x) = 288120

300000 - 3000 x - 3000 x + 30 x² = 288120

30 x ² - 6000 x + 11880 = 0

Dividing both sides by 30

x² - 200 x + 396=0

Factorizing:

(x -198)(x-2) = 0

x = 198 or x = 2

Since the percentage by which the water reduces cannot be greater than 100, x = 2 is chosen.

Step 2: Solving for k

Given that Vt=KtV0

K = Vt/V0

At t = 1

V1 = 3000 - 30x

V1 = 3000 - 30 × 2

V1 = 3000 - 60

V1 = 2940

K = 2940/3000

K = 0.98

5 0
3 years ago
Passes through<br> (-8, 3) and (8, -1).
lawyer [7]

Answer:

Slope = Y2 -Y1 / X2 - X1

Slope = -1 -3 / 8 --8

Slope = -4 / 16

Slope = -1 / 4

To calculate the equation we fill in this equation:

(y - y1) = slope • (x -x1)

We only need to choose 1 point so we'll choose (-8, 3)

(y - 3) = -1 / 4 * (x --8)

So the Equation equals

y = -1 / 4 x -2 + 3

y = -1 / 4x +1

Source:

http://www.1728.org/distance.htm

Step-by-step explanation:

5 0
3 years ago
I need to know unknown value 9 is 25 % of what number
Readme [11.4K]
25% = 1/4

So to get the unknown number, multiply 9 by 4:

9 × 4 = 36
4 0
3 years ago
What is the prime factorization of 81 m^2x^3 ?
kondaur [170]
The prime factorisation of 81 is 3^4(because 3*3*3*3 four times =81)
do not change the rest 3^4 m^2 x^3
5 0
3 years ago
A circle with centre O has a radius of 6.2 cm.
Paul [167]

Answer:

it could either be 10.781 or 65.6, if not either of em then iam truly very sorry

Step-by-step explanation:

6 0
3 years ago
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