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3 years ago

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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Step-by-step explanation:

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A multiply by 5

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3 years ago

Center: (-2,5), radius:7

Firlakuza [10]

Answer:

(x + 2)² + (y - 5)² = 7²

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3 years ago

Alicia walks 4 miles in 1 hour and can speed walk 5 miles in 1 hour. What percent of Alicia's average speed walking rate is her

RSB [31]

Answer:

The % Alicia speed walking is 125 % of average walking

Step-by-step explanation:

Given as :

Distance cover by Alicia while walking = 4 miles

Time taken = 1 hour

So, Speed of Alicia while walking = $\frac{Distance}{Time}$

Or, S 1 = $\frac{4 miles}{1 hour}$

I.e S 1 = 4 mph

And

Distance cover by Alicia while speed walk = 5 miles

Time Taken = 1 hour

So, Speed of Alicia while speed walking = $\frac{Distance}{Time}$

Or, S 2 = $\frac{5 miles}{1 hour}$

I.e S 2 = 5 mph

Or, % Rate = $\frac{5}{4}$ ×100 = 125

Hence The % Alicia speed walking is 125 % of average walking Answer

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\\
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