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MakcuM [25]
3 years ago
9

ABC is a right triangle. If AC= 12 and BC=13 find AB

Mathematics
1 answer:
Alex17521 [72]3 years ago
7 0
A Pythagorean triple commonly used in algebra problems is (5, 12, 13).

If vertex A is the right angle, AB = 5.

If vertex C is the right angle, AB = √(12² + 13²) = √313 ≈ 17.69.

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at one scholl at prep level there were 5 set of twins,two sets of triplets and one set of quadruplets starting school this year.
katen-ka-za [31]

Answer:  Fraction of twins = \frac{5}{8} Fractions of triplets = \frac{1}{4} Fractions of quadruplets = \frac{1}{8}

Step-by-step explanation:

Since we have given that

Number of set of twins = 5

Number of sets of triplets = 2

Number of sets of quadruplets = 1

Total number of sets is given by

5+2+1=8

Now, we need to find the fraction of those students.

So, Fraction of twins is given by

\frac{5}{8}

Fractions of triplets is given by

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Fractions of quadruplets is given by

\frac{1}{8}

3 0
3 years ago
Solve 3(x - 2) &lt; 18.
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What is the image of point (4, 5) after a counterclockwise rotation of 270º about the origin?
andriy [413]
A <span>counterclockwise rotation of 270º about the origin is equivalent to a </span><span>clockwise rotation of 90º about the origin.

Given a point (4, 5), the x-value, i.e. 4 and the y-value, i.e. 5 are positive, hence the point is in the 1st quadrant of the xy-plane.

A clockwise rotation of </span><span>90º about the origin of a point in the first quadrant of the xy-plane will have its image in the fourth quadrant of the xy-plane. Thus the x-value of the image remains positive but the y-value of the image changes to negative.
Also the x-value and the y-value of the original figure is interchanged.
For example, given a point (a, b) in the first quadrant of the xy-plane, </span><span>a counterclockwise rotation of 270º about the origin which is equivalent to a <span>clockwise rotation of 90º about the origin will result in an image with the coordinate of (b, -a)</span>

Therefore, a </span><span>counterclockwise rotation of 270º about the origin </span><span>of the point (4, 5) will result in an image with the coordinate of (5, -4)</span> (option C)
3 0
3 years ago
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