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Misha Larkins [42]
3 years ago
8

How many different triangles can you make if you are given these three lengths for sides? 17cm, 23cm, and 13cm.

Mathematics
1 answer:
Natalija [7]3 years ago
7 0

Answer:

1 triangle can be formed

Step-by-step explanation:

We are given three side lengths, which are 17cm, 23cm, and 13cm. So, we can form the triangle when;

17 + 23 > 13

17 + 13 > 23

23 + 13 > 17

Since the above conditions are met, then we can form one triangle.

Now, each next triangle with the same sides lengths will be congruent to the first triangle by SSS postulate.

SSS postulate states that: If the three sides of a triangle are congruent to the three sides of another triangle, then the two triangles are congruent.

Thus, only 1 triangle can be formed.

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What's method 2 and what is the unit rate per guest?
Bad White [126]
Seeing your method 1 answer, it seems like you forgot that 42 dollars is for 6 guests, not just 1. The unit rate is the rate per guest, and if we divide 42 by 6, we get 7dollars/1person as our unit rate. Since 7 dollars is our unit rate, we can multiply that by 72 to get 504 dollars, therefore making 500$ per night more cost effective.

Another way to do this is to do 42*72, as you did, but then dividing the final product by 6 due to that 42*72 is for 72*6=432 guests (we get the 6 since the unit rate is 7$ per person and 42/7=6). Doing that, we get 3024/6=504, which is still greater than 500
7 0
2 years ago
14% of the town's population is over the age of 65. If there are 320 residents over the age of 65, approximately what is the tow
marshall27 [118]

Answer & Step-by-step explanation:

So if 14% are over 65, and 320 residents are over 65, then we can say that 14% of the town is 320. Then, we can divide by 14 to find 1%, which is 22.857142857 Now we can multiply this by 100 to get 2285.7142857, which is the answer. To double check, you'd just find 14% of 2285.7142857 (multiply by 0.14) which is equal to 320. Because you can't have fractions of people, however, you'd have to round the answer up to 2286 people.

If that is too difficult to understand them hope this is easier

14% of the towns population is 320. Let P denote the towns population.

14/100 * P =320

14P/100 = 320

14P = 32000

divide both sides by 14

P = 2285.71

the towns population is 2286

Hope this helps!

5 0
3 years ago
What is the standard form of 3.43 x 10^5?
marissa [1.9K]

Answer:

3.43×10^5

343000

Step-by-step explanation:

i hope this will help you :)

8 0
3 years ago
Solve the equation using multiplication or division.
Brut [27]

Answer:

y=-4

Step-by-step explanation:

-7y=28

DIVIDE BY -7

28/-7=-4

Answer=-4

3 0
1 year ago
The sum of two numbers is 19 . When the second number is subtracted from the first​ number, the difference is 17 . Find the two
zhenek [66]

Answer:

19 and 2

Step-by-step explanation:

Let x represent the first number and y represents second number

x + y = 19

x - y = 17 add two equations up

2x = 36 divide both sides by 2

x = 19 and since the difference is 17 the other number is 2

4 0
2 years ago
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