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AfilCa [17]
3 years ago
13

What is the value of a? a = ?

Mathematics
2 answers:
Tatiana [17]3 years ago
6 0

Answer:

  a = 15

Step-by-step explanation:

The Pythagorean theorem applies:

  a² + 20² = 25²

  a² = 625 - 400 . . . . . subtract 20²

  a = √225 . . . . . . . . . . take the square root

  a = 15

_____

You might recognize that the given measures (20, 25) are in the ratio 4:5. There is only one right triangle with sides in that ratio: the 3:4:5 right triangle. That is, the unknown side (a) matches

  a : 20 : 25 = 3 : 4 : 5 . . . . numbers on the left are 5 times those on the right

  a = 5·3 = 15

Stella [2.4K]3 years ago
4 0
The correct answer is 15.
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Someone pls help! <br> write the expression in radical form. 2 4/5
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Answer:

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Step-by-step explanation:

Maybe you want 2^(4/5) in radical form.

The denominator of the fractional power is the index of the root. Either the inside or the outside can be raised to the power of the numerator.

  2^{\frac{4}{5}}=\boxed{\sqrt[5]{2^4}=(\sqrt[5]{2})^4}

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In many cases, it is preferred to keep the power inside the radical symbol.

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3 years ago
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RideAnS [48]

Answer:

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Step-by-step explanation:

N=2

5 0
3 years ago
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OLga [1]
Answer:

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A company produces 3 tons of cereal each week. How many 12-ounce cereal boxes can be filled each week?
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How many different right triangles are there with a hypotenuse of lenght 5 cm
Sveta_85 [38]

Answer:

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Spread open a compass to make good sized circle, but so that if the point of the compass is on the point you drew, the pencil fits on the page, both below the top edge and to the left of the right edge of the page. Draw the arc, from roughly the 12 O’Clock position over and down to the intersection of the line segment, at the 3 O’Clock position.

Call the opening of your compass, the radius of the arc you just drew, “5 units”.

Pick any point on the arc between the 12 and 3 positions, B. Drop a line down from that point B, perpendicular to the original horizontal line. Label the point that it intersects the horizontal line, C.

ABC is a right triangle with hypotenuse 5. Do this again with a point a little closer to the 3 O’Clock position. It’s another right triangle with hypotenuse 5.

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There are as many possible right triangles as there are possible points in a line segment.

Step-by-step explanation:

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