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Marina86 [1]
3 years ago
14

2/3 + (-5/6) - (-1/2)

Mathematics
1 answer:
mart [117]3 years ago
8 0

The answer would be 0.03
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The figure below is a square. Find the length of side x in simplest radical form with a rational denominator.
Mashcka [7]

Answer:

\frac{\sqrt{10}}{2}

Step-by-step explanation:

The diagonal forms two 45-45-90 triangles, with the diagonal being the hypotenuse of both. The Pythagorean Theorem states that a^2+b^2=c^2, where c is the hypotenuse of the triangle, and a and b are the two legs of the triangle.

From the Isosceles Base Theorem, the two legs of a 45-45-90 triangle are always equal. Since we're given a diagonal of \sqrt{5}, we have:

x^2+x^2=\sqrt{5}^2,\\2x^2=5,\\x^2=\frac{5}{2},\\x=\sqrt{\frac{5}{2}}=\frac{\sqrt{5}}{\sqrt{2}}=\frac{\sqrt{5}}{\sqrt{2}}\cdot \frac{\sqrt{2}}{\sqrt{2}}=\boxed{\frac{\sqrt{10}}{2}}

7 0
3 years ago
The product of 5 and a number X is 1/4
Sloan [31]

Hi!

5x = 1/4

5x = 0.25

<h3>Divide by 5 on both sides</h3>

5x/5 = 0.25/5

x = 0.05

<h3>Convert 0.05 to a fraction</h3>

5/100

<h3>Simplify the fraction</h3>

1/20

<h2>The answer is X=1/20</h2>

Hope this helps! :)

-Peredhel

5 0
3 years ago
Read 2 more answers
Which ordered pair represents a solution to the inequality 3x - y &lt; -5?A. (2, -15)B. (1, 10)C. (2, 11)D. (3, 12)
White raven [17]

Answer:

(2,11)

Step-by-step explanation:

what i did was actually substitution

It's like ..what I do when I've forgotten how to solve a particular equation in math or even physics

But I'd recommend you find the real solution cuz there's a formula

6 0
2 years ago
For what value of x is the rational expression below when x is equal to 4? X+20/x+4
Olenka [21]

It would be 24  4×20/4+4 80/4 20+4 24

8 0
3 years ago
Read 2 more answers
A cylindrical tank holds 20,000 gallons of water, which can be drained from the bottom of the tank in 20 minutes. The function g
IgorLugansk [536]
You didn't include the function.

If the function is, V = 20,000 (1 - t/20)^2, as you can see, for t = 20, V = 0

Then I am going to show you the work with that function, and you can use the same procedure with your own fucntion.


The rate of change of the volume is the derivative of the function with respect to the time.

[dV/dt] = 20,000 *2 [1 -t/20] * [-1/20] = - 2000 [1 - t/20] = 2000[t/20 - 1]

At t = 3

dV/dt = 2000[3/20 - 1] = -1700 gallons / min

The negative sign mean decreasing.

The answer is - 1700 gallons / min

Now, for the same function, if the time is t = 2, you would obtain one of the results of the list of options.

dV/dt = 20,000 [2/20 - 1] = -1800 gallons/minute, which is the option D of the list.



3 0
3 years ago
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