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Fantom [35]
2 years ago
11

Simplify 1+tan^2 x / tan^2 x a) sin^2 x b) csc^2 x c) sec^2 x d) cos^2 x

Mathematics
1 answer:
rodikova [14]2 years ago
5 0

Answer:

cosec²x is the answer

Step-by-step explanation:

\frac{1+tan^2x}{tan^2x} \\\\\frac{sec^2x}{tan^2x} \\\\\frac{\frac{1}{cos^2x} }{\frac{sin^2x}{cos^2x} }\\\\\frac{1}{sin^2x}\\\\cosec^2x

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Sara is working on a Geometry problem in her Algebra class. The problem requires Sara to use the two quadrilaterals below to ans
zloy xaker [14]
Part A:

Given a square with sides 6 and x + 4. Also, given a rectangle with sides 2 and 3x + 4

The perimeter of the square is given by 4(x + 4) = 4x + 16

The area of the rectangle is given by 2(2) + 2(3x + 4) = 4 + 6x + 8 = 6x + 12

For the perimeters to be the same

4x + 16 = 6x + 12
4x - 6x = 12 - 16
-2x = -4
x = -4 / -2 = 2

The value of x that makes the <span>perimeters of the quadrilaterals the same is 2.



Part B:

The area of the square is given by

Area=(x+4)^2=x^2+8x+16

The area of the rectangle is given by 2(3x + 4) = 6x + 8

For the areas to be the same

x^2+8x+16=6x+8 \\  \\ \Rightarrow x^2+8x-6x+16-8=0 \\  \\ \Rightarrow x^2+2x+8=0 \\  \\ \Rightarrow x= \frac{-2\pm\sqrt{2^2-4(8)}}{2}  \\  \\ = \frac{-2\pm\sqrt{4-32}}{2} = \frac{-2\pm\sqrt{-28}}{2}  \\  \\ = \frac{-2\pm2i\sqrt{7}}{2} =-1\pm i\sqrt{7}

Thus, there is no real value of x for which the area of the quadrilaterals will be the same.
</span>
7 0
3 years ago
The sum of two numbers is -14 one number is 20 less than the other find the numbers
Lisa [10]

Answer:

x=-17,y=3

Step-by-step explanation:

x+y=-14

x=x

y=x+20

x+(x+20)=-14

2x+20=-14

2x=-14-20

2x=-34

x=-34/2

x=-17

y=-17+20

y=3

3 0
3 years ago
30% × 750 =<br> (30 ÷ 100) × 750 =<br> (30 × 750) ÷ 100 =<br> 22,500 ÷ 100 =<br> 225;
Deffense [45]

Answer:

SOLVE IT UR SELF OR GET A CALCULATOR

Step-by-step explanation:

*urinates on ur property*

ANSWER : 225, 225, 225, 225, 225

7 0
3 years ago
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Sally fills her car with 12 gallons of gas. She goes on a journey and ends up with 7.5 gallons left in the tank. What is the per
melomori [17]
Around 80-75 percent.
5 0
3 years ago
What is the product of 4.5 × 10-5 and 2.4 × 10-2?
nikitadnepr [17]
4.5 • 10-5 = 40

2.4 • 10-2 = 22
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2 years ago
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