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4 years ago

85 is greater than the difference of x and63

1 answer:

8 0

85 > x-63

This is how you would arrange the problem,

isolate the X by adding 63 to 85 to get 148,
Flip the inequality to <

resulting in X<148.

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What is the GCF of 100 and 5

Gwar [14]

Answer:

Step-by-step explanation:

5 is the biggest number you can divide 5 by.

5/5=1

100/5=20

7 0

3 years ago

Read 2 more answers

I need to solve question 3

AlexFokin [52]

3) 3.sec² Ф = 4.tan² Ф
but sec² Ф = 1/cos² Ф
3/cos² Ф = 4.tan² Ф
3/4 = (tan² Ф).(cos² Ф) ; tan² Ф = sin² Ф/cos² Ф

3/4 = (sin² Ф)x(cos² Ф)/(cos² Ф)

sin² Ф = 3/4

a) sin Ф = +(√3)/2 and b) sin Ф = - (√3)/2

sin Ф = + - (√3)/2 → Ф =π/3 + kπ/3

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3 years ago

1) Draw the arrow diagram and the matrix representation for the relation: R={(1, 2), (3, 4), (2, 3), (3, 2), (2, 1), (3, 1), (4,

tensa zangetsu [6.8K]

Answer:

The arrow diagram and the matrix representation for the relation is shown below.

Step-by-step explanation:

The given relation is

R={(1, 2), (3, 4), (2, 3), (3, 2), (2, 1), (3, 1), (4, 3)}

If a relation is defined as

$R=\{(x,y)|x\in R,y\in R\}$

Then the set of x values is domain and set of y values is range.

The domain of the function is

Domain={1, 2, 3, 4)

The range of the function is

Range={1, 2, 3, 4)

In arrow diagram, we have two sets first set represents the domain and second set represents the range. The arrow connecting the element represent the relation.

In matrix representation,

$M_{ij}=\begin{cases}1 & \text{ if } (x_i,y_j)\in R \\ 0 & \text{ if } (x_i,y_j)\notin R\end{cases}$

The arrow diagram and the matrix representation for the relation is shown below.

6 0

4 years ago

IN A CLASS OF 60 STUDENTS, 25 PLAYS BASKETBALL, 2O PLAY VOLLEYBALL, AND 10 STUDENTS PLAY BOTH OF THEM. HOW MANY STUDENTS PLAY NE

I am Lyosha [343]

Answer:

Step-by-step explanation:

We'll compare it with the study of sets, the most noticeable operation of which is:

<u>n(A ∪ B) = n(A) + n(B) - n(A ∩ B)</u>

where,

n(A ∪ B) is the Union Set, i. e, the set that contains all the elements

n(A) is a subset of the Union Set

n(B) is another subset of the Union Set, and

n(A ∩ B) is the Intersection Set ,i.e, the set contains common elements from both A and B sets.

<h3><u>In the question:</u></h3>

n(A ∪ B) = ? (<em>the total number of students in the class who are into the above mentioned sports)</em>

Let set A contains the students who play basketball and set B, the students who play Volleyball.

n(A) = 25
n(B) = 20

10 students play both of them, i. e.,

n(A ∩ B) = 10 (<em>as 10 students have common sports - Volleyball and Basketball</em>)

<u>Using the above operation:</u>

=> n(A ∪ B) = n(A) + n(B) - n(A ∩ B)

=> n(A ∪ B) = 25 + 20 - 10

=> n(A ∪ B) = 35

<h3><u>Final Step to the Answer:</u></h3>

<u>The total number of students in the class </u>

= students into the given sports + students who don't play any of them

Total number of students in the class is 60
Total number fo students playing basketball and volleyball is 35

The students who play neither = 60 - 35

= 25

5 0

3 years ago

Suppose angles a and B are the two acute angles in a right triangle and that b < a. Apply the relationship between sine and c

Valentin [98]

The right statements are: A, B and E

Sin(A)=cos(B)

then we check if using x=9 this holds true:

sin(6x-10)=cos(4x+10)

sin((6*9)-10) = sin(44º)

cos(4x+10)=cos(46)

Sin(44)=0.694=cos(46)

then a is true

Now, we know that b

5 0

1 year ago