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3 years ago

(_____)^2= (cscx-1)(cscx+1)

1 answer:

4 0

$(csc(x)-1)(csc(x)+1)=csc^2(x)-1=cot^2(x)$

We know that $csc^2(x)-1=cot^2(x)$ because of the Pythagorean trig identity $1+cot^2(x)=csc^2(x)$ .

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P, Q & R form a right-angled triangle.

kvasek [131]

Answer:

∠RPQ = 27

Step-by-step explanation:

In ΔSRQ,

∠R = 90

∠SQR = 36°

∠R + ∠SQR + ∠RSQ = 180 {Angle sum property of triangle}

90 + 36 + ∠RSQ = 180

126 + ∠RSQ = 180

∠RSQ = 180 - 126

∠RSQ = 54°

∠PSQ +∠RSQ = 180 {Linear pair}

∠PSQ + 54 = 180

∠PSQ = 180 - 54

∠PSQ = 126

In ΔPSQ,

SQ = PS ,

So, ∠SQP = ∠SPQ {Angles opposite to equal sides are equal}

∠SQP = ∠SPQ =x

∠PSQ + x +x = 180 {Angle sum property of triangle}

126 + 2x = 180

2x = 180 - 126

2x = 54

x = 54/2

x = 27

∠RPQ = 27°

5 0

2 years ago

The sum of the squares of two consecutive even integers is 452. find the integers.

Novay_Z [31]

Let me know if you have any questions :-)

7 0

3 years ago

randy has two 28 pound blocks of ice for his snow cone stand. if each snow cone requires 2/3 pound of ice, how many snow cones c

Mariana [72]

He can make 18 and then he wouldn't have enough to make that 19th. You just take 28 and multiply it by 2, then divide it by 3. Or just multiply 28 by 2/3

4 0

2 years ago

Read 2 more answers

Find the perimeter of a triangle with side lengths of (3c + 4), (5c - 2), and (4c + 7)

igor_vitrenko [27]

Answer:

12c +9 = Perimeter

Step-by-step explanation:

The perimeter of a triangle is found by adding all the sides

3c+4 + 5c-2 + 4c +7 = Perimeter

Combine like terms

12c +9 = Perimeter

5 0

2 years ago

Darrin graphs the following inequality: y > -3x -5. Does the side of the line with all solutions (the shaded region) include

Anarel [89]

Yes it does include the test point (0, 0)

equation: y > -3x -5

<h3>Find y-intercept:</h3>

y > -3(0) -5

y > -5

<h3>Find x-intercept:</h3>

y > -3x -5

<u>switch sides</u>

-3x - 5 < 0

-3x < 5

<u>Multiply both sides by -1 reverses the inequality</u>

x > -5/3

Thus, the following (0, 0) comes under the following x > -5/3 and y > -5

3 0

2 years ago