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gizmo_the_mogwai [7]
3 years ago
13

One of the legs of a right triangle measures 9 cm and the other leg measures 16 cm.

Mathematics
1 answer:
aalyn [17]3 years ago
7 0

Answer:

18.4 cm

Step-by-step explanation:

Using Pythagoras rule:

Hypotenuse =

\sqrt{9 ^{2}  + 16 ^{2} }

= 18.4 cm

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A baseball coach needs to choose 99 players to be in the batting lineup for the next game. There are 44 freshmen, 44 sophomores,
Bas_tet [7]

Answer:

The number of ways the batting line up can be made is 3,851,971,200 ways.

Step-by-step explanation:

The coach of the baseball team needs to choose 9 players for the batting lineup.

He can choose from a total of 4 freshmen, 4 sophomores, 5 juniors and 4 seniors for the team.

He has to choose the team so that there at most 2 juniors on the lineup.

The total number of available player who are not juniors is 4 + 4 + 4 = 12

i) If the coach selects no juniors then there are 9 positions to fill up and  

 since the batting order is not specific  so these 9 players can be selected

  from 12 players = \binom{12}{9} = 220 ways

ii) If the coach selects one junior then there are other 8 other positions to

   fill up from 12 players and one junior is to be selected from 5 juniors

  = \binom{12}{8}  \times \binom{5}{1} = 2475

iii) If the coach selects two juniors then there are other 7 other positions to

   fill up from 12 players and two juniors are to be selected from 5 juniors

   = \binom{12}{7}  \times \binom{5}{2} = 7920

So the ways of selecting the players is  = 220 + 2475 + 7920 = 10615 ways

Since there is no specific order to the batting line up  the number of ways the batting line up can be made = 9! × 10615 = 3,851,971,200 ways.

8 0
3 years ago
Which can be used to find the partial sum of the
kifflom [539]

Answer: A

Step-by-step explanation: Edge 2020

6 0
3 years ago
Help two helpless triangles?
Illusion [34]

Answer:

see below

Step-by-step explanation:

Angle ACE = DCE since they are vertical angles

Angle A = Angle E parallel lines cut by a transversal form congruent alternate interior angles

Angle B = Angle D parallel lines cut by a transversal form congruent alternate interior angles

When all three angles are equal, the triangles are similar.

We can use ratios to find DE

DE         CE  

------- = ----------

AB           AC

DE         8

------- = ----------

12           10

Using cross products

10 DE = 8*12

10 DE = 96

Divide by 10

DE = 9.6

3 0
3 years ago
Read 2 more answers
Help with the question please​
galina1969 [7]

Step-by-step explanation:

since all 4 sides are equal in length, the figure is a square.

let the length of the square be lm.

529 = l x l

l = 23m

perimeter = 23 x 4 = 92m

Topic: mensuration

If you like to venture further, do check out my insta (learntionary) where I regularly post useful math tips! Thank you!

5 0
3 years ago
Help quick!PLS AND TY!
frosja888 [35]

Answer

8p∠-8

Step-by-step explanation:

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