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3 years ago

In the right triangle shown Ac=BC and AB=6 to the square root of 3, how long are each of the legs

Mathematics

1 answer:

Inga [223]3 years ago

4 0

Answer:

6 units

Step-by-step explanation:

I will just assume that you made a typo when typing the question when saying AB is 6√3. Here is the solution if AB = 6√2.

Since it is given that ABC is a right triangle and x labels each of the legs, the triangle is a right isoceles triangle.

Now we can use the right isoceles triangle theorem to solve the problem. This theorem states that if a leg is "x" in a right isoceles triangle, then the hypotenuse is equal to x√2.

Here, the hypotenuse is equal to 6√2. To figure out the legs, you need to solve the equation 6√2 = x√2. It is solved here:

6√2 = x√2 (Divide by √2)

x = 6

The length of the legs are 6 units.

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A parallelogram is transformed according to the rule (x, y) → (x, y). Which is another way to state the transformation?

kompoz [17]

Answer:

D. R0, 360°

Step-by-step explanation:

Since the transformation is from (x,y) to (x,y), the values stay the same...

It's just like a 360 degrees rotation then, since the end position is identical to the start position.

All other answers would affect at least one of the values to change sign like (-x,y), (x,-y) or (-x,-y)... but a 360 degrees rotation would not.

6 0

3 years ago

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Which amount is larger and by how much?

BlackZzzverrR [31]

600 increased by 20% = 600 * 1.2 = 720

720 decreased by 20% = 720 * 0.8 = 576

600 is larger by 24.

3 0

4 years ago

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A sphere has a radius of 2x + 5. Which polynomial in standard form best describes the total surface area of the sphere? Use the

faust18 [17]

Start with the given formula for the surface area of a sphere.

$S = 4 \pi r^2$

Now substitute 2x + 5 in for r, the radius.
Then simplify the expression and write it in standard form.

$S = 4 \pi (2x + 5)^2$

$S = 4 \pi (4x^2 + 20x + 25)$

$S = 16 \pi x^2 + 80 \pi x + 100 \pi$

5 0

3 years ago

Directions: Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).. Th

Anuta_ua [19.1K]

Answer

Find out the The numerical value of A - B and the numerical value of B - A .

To prove

As given

The expression 113.47 - (43.72 - 26.9) represents A.

The expression 113.47 - (26.9 - 43.72) represents B .

Thus

A - B = 113.47 - (43.72 - 26.9) - ( 113.47 - (26.9 - 43.72))

First solving the bracket terms.

A - B = 113.47 - (43.72 - 26.9) - 113.47 + (26.9 - 43.72)

= 113.47 - 16.82 - 113.47 - 16.82

= 113.47 - 113.47 - 16.82 - 16.82

= -33.64

Therefore the value of A- B is -33.64 .

Thus

B - A = 113.47 - (26.9 - 43.72) - (113.47 - (43.72 - 26.9))

First solving the bracket terms.

B - A = 113.47 - (26.9 - 43.72) - 113.47 + (43.72 - 26.9)

= 113.47 + 16.82 - 113.47 + 16.82

= 33.64

Therefore the value of the A - B is -33.64 and B - A is 33.64 .

6 0

3 years ago

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Which of the following is the equation for the line of symmetry in this figure?

pochemuha

Answer:

y = -2

Step-by-step explanation:

This one is easy. As you may know, a axis of symmetry is the line where everything is the same on both sides of it. For this, you can use trial and error or just look at the points on either side. For y = -1, that will put the line in an awkward spot, crossing through 2 slanted lines instead of corners. For x = -1, this just cuts through the shape straight up and down and does not make the shape look equal on both sides of the line at all. Same goes for x = -2. I should probably mention, when you see a line that is described as "x = 1", it is a vertical line, because the line is constantly staying on the point x = 1, while having an infinite number of y-values. When you see "y = 1", it will be horizontal for the same reason, just flipped.

5 0

3 years ago