All categories

2 years ago

Which set of measurements can represent the lengths of a triangle's sides?

1 answer:

6 0

Triangle, not a triangle, not a triangle, triangle

Determining if three side lengths can make a triangle is easier than it looks. All you have to do is use the Triangle Inequality Theorem, which states that the sum of two side lengths of a triangle is always greater than the third side. If this is true for all three combinations of added side lengths, then you will have a triangle.[

You might be interested in

Of the 32 students in a class, 18 play the violin, 16 play the piano, and 7 play neither.

german

Answer:

(a)9

(b)I. 0.28125

II. 0.46875

III. 0.25

Step-by-step explanation:

There are a total of 32 students, therefore the number of elements in the Universal set, n(U)=32

$1$8 play the violin, n(V)=18\\16 play the piano, n(P)=16\\ 7 play neither, n(P \cup V)' =7$

(a)The Venn diagram is attached below.

$n(U)=n(V)+n(P)-n(V \cap P)+ n(P \cup V)'\\32=18+16+7-n(V \cap P)\\32=41-n(V \cap P)\\n(V \cap P)=41-32\\n(V \cap P)=9\\$

Therefore, 9 students play both the violin and piano.

(b)

I. Probability that the student plays the violin but not the piano

Number of Students who play violin only =18-x=18-9=9

$P(V \cap P') = \dfrac{n(V \cap P')}{n(U)}\\= \dfrac{9}{32}\\=0.28125$

ii.Probability that the student does not play the violin

Number of Students who does not play violin only =17-x+7=17-9+7=15

P(does not play violin only)

$= \dfrac{15}{32}\\=0.46875$

iii.Probability that the student plays the piano but not the violin

Number of Students who play piano only =17-x=17-9=8

$P(V' \cap P) = \dfrac{n(V' \cap P)}{n(U)}\\= \dfrac{8}{32}\\\\=0.25$

3 0

3 years ago

- In 12 minutes, Keyshawn read 50 pages.

dolphi86 [110]

Answer:

it would be b cause manymoons ago i saw vision many man come start war we kill many each other war gone we bring it back

Step-by-step explanation:

follow your dreams you see in moons your dreams come true let no one in the way

7 0

3 years ago

Read 2 more answers

During a carpet sale, a carpet company sold $6,792 worth of carpet. If they sold 849 square yards of carpet, what was the averag

lawyer [7]

The average price per square yard is A.) $8.

To find this, simply divide $6,792 (total amount of money) by 849 (number of square yards sold). In doing so, you'll find the cost for each square yard, which is $8. Thus making A the answer.

I hope this helps!

4 0

3 years ago

Find the ratio between a:b for each problem

Fynjy0 [20]

1. 2a=9b first we will divide the both sides with parameter b and get

2(a/b)=9 now we will divide both sides with number 2 and get

a/b=9/2 => a : b = 9 : 2

2. 6a-3b=5b first we will add to both sides number (+3) and get

6a=5b+3b => 6a=8b then divide the both sides with parameter b and get

6(a/b)=8 now we will divide the both sides with number 6 and get

a/b=8/6 if we simplify the fraction we get

a/b=4/3 => a : b = 4 : 3

3. a+b=3b we will add to the both sides parameter (-b) and get

a=3b-b => a=2b then divide the both sides with parameter b and get

a/b=2 => a/b=2/1 => a : b = 2 : 1

4. a/5=b/7 first we will divide the both sides with paremeter b and get

a/(5b)=1/7 now we will multiply the both sides with number 5 and get

a/b=5/7 => a : b = 5 : 7

Good luck!!!

3 0

3 years ago

Emma buys packets of beads

Serhud [2]

Answer:

40beads

Step-by-step explanation:

For this number you are supposed to find the LCM of the three numbers given that is 8,5 and 10

Hope that this helpful.

Have a great day.

7 0

3 years ago