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koban [17]
3 years ago
6

Sec (90 -A) sinA = cot (90-A). tan( 90- A)​

Mathematics
2 answers:
Lapatulllka [165]3 years ago
8 0

L.H.S=sec(90-A)·sinA

        =cosecA·sinA ;[sec(90-A)= cosecA]

        =1/sinA·sinA ;[cosecA=1/sinA]

        =1

R.H.S=cot(90-A)·tan(90-A)

        =tanA·cotA ;[cot(90-A)=tanA, tan(90-A)=cotA]

        =tanA·1/tanA ;[cotA=1/tanA]

        =1

thus, L.H.S=R.H.S

[Proved]

djyliett [7]3 years ago
3 0

Step-by-step explanation:

sec(90-A) . Sin A = cot (90-A) . tan(90-A)

cosec X sinA = tanA X cotA

1/sinA X sinA = tanA X 1/tanA

1=1

Hence proved

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Jan's age is 3 years less than twice Tritt's age. The sum of their ages is 30. find their ages
Blizzard [7]
Let Tritt's age = t & Jan's age = 2t - 3

if the sum of their ages equals 30 then..
t + 2t - 3 = 30
combine terms and simplify
3t = 27
now simply divide
t = 9
and to find Jan's age just plug 9 in
2(9) - 3
18 - 3 = 15

Jan's age = 15
Tritt's age = 9
3 0
3 years ago
Help me with this please!!
ololo11 [35]

Answer:

DE ≅ XY and XY ≅ YZ, then DE ≅ YZ

Thus, this statement is illustrated or validated by the 'Transitive Property of Segment Congruence'.

Step-by-step explanation:

We know that if two segments are congruent to the third segment, then they will be congruent to each other. This is called Transitive Property of Segment Congruence.

For example, Let suppose

  • segment LM = 30 units
  • segment AB = 30  units                    
  • segment BC = 30 units

LM ≅ AB and AB ≅ BC, then LM ≅ BC

30  ≅ 30 and  30  ≅ 30, then 30  ≅ 30

Thus, this validates the 'Transitive Property of Segment Congruence'.

Now Given

DE ≅ XY and XY ≅ YZ, then DE ≅ YZ

Thus, according to the above discussion, this statement is illustrated or validated by the 'Transitive Property of Segment Congruence'.

8 0
3 years ago
Please help me out with my work
ozzi

Seeing that its a right triangle...

We can use pythagorean theorem.

8^2 + 4^2 = x^2

64 + 16 = x^2

80 = x^2

x = 8.94427191

3 0
3 years ago
How do we create a table of values to help us graph linear equations?​
VashaNatasha [74]

Let's say for example you wanted to graph the linear equation y = 2x+5

At minimum, we'll need 2 points to form this line.

To get any point of the form (x,y), we plug in a number for x to find a corresponding number for y.

For example, replace x with 0 to find that...

y = 2x+5\\\\y = 2(0)+5\\\\y = 0+5\\\\y = 5\\\\

Therefore, x = 0 leads to y = 5. So the point (0,5) is on the line.

Then we repeat this process for other x values. Let's try x = 1

y = 2x+5\\\\y = 2(1)+5\\\\y = 2+5\\\\y = 7\\\\

Telling us that (1,7) is also on this line. We have enough to graph this equation. Plot the two points (0,5) and (1,7). Then draw a straight line through them. Extend this line as far as you can to the left and right. The graph is shown below.

We can keep going to get other points like (2,9) and (3,11) and (4,13) and so on. A table is a way to keep track of the xy values.

\begin{array}{|c|c|}\cline{1-2}\text{x} & \text{y}\\ \cline{1-2}0 & 5\\ \cline{1-2}1 & 7\\ \cline{1-2}2 & 9\\ \cline{1-2}3 & 11\\ \cline{1-2}4 & 13\\ \cline{1-2}\end{array}

Each time x goes up by 1, y goes up by 2. This directly ties to the slope of 2/1 = 2.

6 0
3 years ago
the diagonal of a rectangle is 16 inches. if the height of the rectangle is 8 inches. what is the length of the rectangle?
Yakvenalex [24]

Answer:

Length: 13.9 inches

Step-by-step explanation:

a^2 + b^2 = c^2

a = 8 and c= 16

8^2 + b^2 = 16^2

64 + b^2 = 256

b^2 = 256 - 64

b = sqrt 192

b = 13.9

4 0
3 years ago
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