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Vinvika [58]
3 years ago
15

in right triangle ABC, angle C is a right angle, AB is 25 units long, and BC is 24 units long. What is the lenght of AC?

Mathematics
1 answer:
ycow [4]3 years ago
6 0

Answer:

7 units long

Step-by-step explanation:

We are given a right triangle ABC

  • AB = 25 units
  • BC = 24 units

We are required to determine the length of AC

  • We are going to use the Pythagoras theorem;
  • According to the theorem, if a and b are the legs of a right triangle and c is the hypotenuse, then;

a² + b² = c²

In this case;

AB is the hypotenuse and BC is one of the legs of the triangle;

Therefore;

AB² = BC²+AC²

Rearranging the formula;

AC² = AB² - BC²

       = 25² - 24²

       = 625 - 576

       = 49

AC = √49

     = 7

Thus, AC is 7 units long

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4 0
3 years ago
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Two farmers each have triangular plots of land in the diagram below with approximate values shown for lengths in feet
Ray Of Light [21]

Answer:

  • a) Plots are similar
  • b) x= 5577 feet

Step-by-step explanation:

<em>Refer to attached</em>

<h3>Question</h3>
  • a) Are the plots of land similar?  
  • b) Find to the exact value of x and rounded to the nearest tenth?
<h3>Solution</h3>

The small triangle have missing angle of 180° - (52° + 58°) = 70°

This is indicating both triangles have same 3 angle measures.

Since all angles are same, the triangles are similar.

<u>Corresponding sides, against corresponding angles are:</u>

  • 6180 and 8240
  • x and 7436

<u>As per property of similarity, the ratio of corresponding sides is same</u>

  • 6180/8240 = x/7436
  • x = 6180*7436/8240
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4 0
3 years ago
Is 60.43 an irrational number
zhuklara [117]

Answer:

No, It is rational

Step-by-step explanation:

An number with a finite number of decimal point/numbers can be rational unlike numbers that repeat on forever like the number pi

4 0
2 years ago
If x/5+6=-14 then x equals
yanalaym [24]

Answer:

x = - 100

Step-by-step explanation:

Given

\frac{x}{5} + 6 = - 14 ( subtract 6 from both sides )

\frac{x}{5} = - 20

Multiply both sides by 5 to clear the fraction

x = 5 × - 20 = - 100

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7 ^ 1/5 ^ 5

power to a power is multiplied

7 ^ (1/5 *5)

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Choice A

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