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3 years ago

I don’t understand what I need to do in this problem or how to get the answers

Mathematics

1 answer:

ANTONII [103]3 years ago

5 0

Answer:

2.5 is your answer.

Step-by-step explanation:

Since the given hypotenuse is 6.5 and one of the lengths is given as 6, we can use the equation a^2 +b^2 =c^2 to solve this. Plugging the numbers in, it would now be 6^2+b^2 =6.5^2, which would give you 36+b^2=42.25. Now, all you need to do is solve. Subtract 36 from 42.25, which will result in 6.25. Now, the equation is at b^2=6.25. All you need to do now is find the square root of 6.25, which would be 2.5, therefore giving you your answer.

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Karo-lina-s [1.5K]

The answer is (-7r-6s)/3s

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3 years ago

Limit

STatiana [176]

Rationalize the numerator:

$\dfrac{\sqrt{x+4}-2}x\cdot\dfrac{\sqrt{x+4}+2}{\sqrt{x+4}+2}=\dfrac{(\sqrt{x+4})^2-2^2}{x(\sqrt{x+4}+2)}=\dfrac x{x(\sqrt{x+4}+2)}=\dfrac1{\sqrt{x+4}+2}$

This is continuous at $x=0$ , so we can evaluate the limit directly by substitution:

$\displaystyle\lim_{x\to0}\frac{\sqrt{x+4}-2}x=\lim_{x\to0}\frac1{\sqrt{x+4}+2}=\frac1{\sqrt4+2}=\frac14$

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3 years ago

PLEASE HELP!!!!!!

slava [35]

9514 1404 393

Answer:

A: (3x +4)

B: (4x +5y) × (4x -5y)

Step-by-step explanation:

Part A:

Since we know the trinomial is a perfect square, we know the terms of each binomial factor are the square roots of the first and last terms of the trinomial.

9x² +24x +16 = (√(9x²) +√16)² = (3x +4)²

The side of the square is 3x+4.

Part B:

The difference of squares is factored like this:

a²-b² = (a +b)(a -b)

The given area expression is the difference of squares with ...

a = 4x, b = 5y

so, the factorization is ...

16x² -25y² = (4x +5y)(4x -5y)

The dimensions of the rectangle are (4x+5y) by (4x-5y).

3 0

3 years ago

Goat on a Rope

mariarad [96]

Answer:

the area of grass is 314 square feet

Step-by-step explanation:

The radius of the circle the goat can reach is given by the length of the rope that ties the goat to the post (10 ft)

Then the area of the circle is: $Area=\pi\,R^2=3.14\,(10\,\,ft)^2=3.14 * (100)\,ft^2=314 \,\,ft^2$

So the area of grass is 314 square feet

6 0

3 years ago

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prisoha [69]

29 is the final answer.

3 0

3 years ago