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12345 [234]
3 years ago
8

50 POINTS PLS HELP!!!

Mathematics
1 answer:
Viefleur [7K]3 years ago
7 0

Answer:

1.) 90 ways

2.) 15,600 ways

3.) 24 ways

Step-by-step explanation:

1.)  Let's say   we are given 2 digits not equal to each other...The number of different orderings would be  2*1 = 2, or  if we wanted the number of ways to order 2 digits chosen :   10*9 = 90 ways

2.)   The number of ways to arrange 3 letters from 26 letters is:

26 Permutes 3  =    26! / (26 -3)!  =  26*25*24 = 15,600 ways to choose 3 letters in a certain order

3.) 4 different chores.  The number of ways to do them =  4*3*2 *1 = 24 ways

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60ml of liquid is poured into a cuboidal tank with a length of 4.5cm, a width of 3.5cm and a height of
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Help....................................DDDDDDDDDDDDDDDDDDDDDDDDDDD
m_a_m_a [10]

Answer:

Step-by-step explanation:

a). Since, ΔABC ~ ΔWYZ

Their corresponding sides will be proportional.

\frac{AB}{WY}=\frac{BC}{YZ}= \frac{AC}{WZ}

\frac{194}{WY}=\frac{BC}{1}= \frac{130}{WZ}  --------(1)

By applying Pythagoras theorem in ΔABC,

AB² = AC² + BC²

BC² = AB² - AC²

BC² = (194)² - (130)²

BC² = 20736

BC = 144

From equation (1)

\frac{194}{WY}=\frac{144}{1}= \frac{130}{WZ}

\frac{194}{WY}=\frac{144}{1}

WY = \frac{194}{144}

WY = \frac{97}{72} = 1.35

\frac{144}{1}= \frac{130}{WZ}

WZ = \frac{130}{144}

WZ = \frac{65}{72} = 0.90

b). tan(A) = \frac{\text{Opposite side}}{\text{Adjacent side}}

               = \frac{144}{130}

               = \frac{72}{65}

Since, ΔABC ~ ΔWYZ,

∠A ≅ ∠W

Therefore, tangent of angle A and angle W will measure \frac{72}{65}.

8 0
2 years ago
Help me find y and z? Thanks!
Genrish500 [490]
There is 180deg in a half circle, and 360deg in a full circle.  complementary angles complete a half circle perfectly.
angle z is complementary to 111deg.  
z= 180 - 111= 69deg
z= 69deg
There are 360 total degrees in the figure because it makes one total revolution.
y= 360- 69- 94- 88
y= 109deg
Check - 109 +69 +94 +88= 360
6 0
3 years ago
What is the ratio 3:4 of 21?
docker41 [41]

3-----4

3-----4

3-----4

Total (Left): 9

Total (Right): 12

-------------------

Total (Left) + Total (Right) = 9 + 12 = 21

3 0
3 years ago
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