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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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Alexeev081 [22]

Answer:

D.

Step-by-step explanation:

3 0
3 years ago
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The conversion rate for US Dollars to Costa Rican Colones is 1 USD = 518 Colones.
allsm [11]

The cost of 0.5 kg of bananas is 393.60 Colones as per the given conversion rates

Conversion rate of 1 USD to Costa Rican Colones = 518 Colones

The conversion rate of kg to pounds given in the question: 1 kg = 2.2025 lbs

Cost of one pound of bananas = $0.69

Bananas required to be purchased = 0.5kg

Converting 0.5kg bananas to pounds = 0.5*2.2025 = 1.10125 pounds

Cost of 1.10125 pound of bananas in dollars = 1.10125*0.69 = 0.7598

Cost of 1.1025 pounds of bananas in Colones = 0.7598*518 = 393.60 Colones

Hence, the cost is 393.60

Therefore, the cost of 0.5 kg bananas in Colones is 393.60 Colones

Learn more about conversion rate:

brainly.com/question/2274822

#SPJ1

5 0
1 year ago
Which expressions are equivalent to<br>-6 +49 + (-69) ?​
kiruha [24]

Answer:

-26

Step-by-step explanation:

-6+49+(-69)

43+(-69)

43-69

-26

3 0
3 years ago
Each inhabitant of a remote village always tells the truth or always lies. A villager willgive only a ""Yes"" or ""No"" response
pshichka [43]

Step-by-step explanation:

This is actually a very old riddle, but it is two guards and two doors life death .

So let's apply the same logic to this one.

You only meet one villager and you don't know if he is one of the ones who only tells the truth or always lies, to answer this riddle, the question is actually to an hypothetical third party, another villager, not present, this is a little convoluted so bear with me:

(Pointing to one of the roads): If I asked another villager if this road would lead me to the ruins, would he be correct?

If the villager is a truth one, the true-villager, would tell you that the liar-villager would say no (thus leading you to the jungle).

  • Let's analyze this one, so the villager always tells the truth, and you happen to be pointing to the right direction (ruins), he is answering, that if you would ask another villager whether that is the correct road, that villager would say yes, since you are pointing at the right direction, a liar would tell you no, because the liar would point you to the other road as the correct (jungle), so the true-villager will say no
  • If you happen to be pointing to the wrong direction (jungle), he is answering, that if you would ask another villager whether that is the correct road, that villager would say yes, since you are pointing at the wrong direction, the truth-villager would tell you no, because the liar would point you to the wrong road as the correct (jungle), so the villager will say no

Therefore, no matter what villager you run into, the question will always lead you to the jungle, and therefore you pick the other road.

4 0
4 years ago
WILL GIVE BRAINLIEST AND 100 POINTS
Airida [17]

Answer:

Apologiabiology  Ambitious

v=vanilla

c=chocolate

A.

4v+c=45

v+c=27

b.

multiply 2nd equation by -1 and add to first

4v+c=45

-v-c=-27 +

3v+0c=18

3v=18

divide both sides by 3

v=6

sub bac

v+c=27

6+c=27

minus 6

c=21

21chocolate

6 vanila

Step-by-step explanation:

5 0
3 years ago
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