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2 years ago

Simplify the expressioncot^2x - cot^2x cos^2x

Mathematics

1 answer:

andrew-mc [135]2 years ago

8 0

Cot^2x - cot^2x cos^2x
= cot^2x - {(cot^2x)(cos^2x)}
= cot^2x { 1 - cos^2x }
= cot^2x { sin^2x }
= (cos^2x/sin^2x) { sin^2x }
= cos^2x

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D-10-2d+7=8+d-10-3d

TEA [102]

$Solution,solve\:for\:d,\:d-10-2d+7=8+d-10-3d\quad :\quad d=1$

$Steps:$

$d-10-2d+7=8+d-10-3d$

$\mathrm{Subtract\:}d-10\mathrm{\:from\:both\:sides},\\d-10-2d+7-\left(d-10\right)=8+d-10-3d-\left(d-10\right)$

$\mathrm{Refine},\\-2d+7=8-3d$

$\mathrm{Subtract\:}7\mathrm{\:from\:both\:sides},\\-2d+7-7=8-3d-7$

$\mathrm{Simplify},\\-2d=-3d+1$

$\mathrm{Add\:}3d\mathrm{\:to\:both\:sides},\\-2d+3d=-3d+1+3d$

$\mathrm{Simplify},\\d=1$

$\mathrm{The\:Correct\:Answer\:is\:d=1}$

$\mathrm{Hope\:This\:Helps!!!}$

$\mathrm{-Austint1414}$

4 0

3 years ago

Which equation results from adding the equations in this system?

eimsori [14]

Answer: 3x=3

Step-by-step explanation: Let's divide this into parts--

1. Adding the x variables: -2x+5x or 5x-2x = 3x.

2. Adding the y variables: y-y or -y+y = 0. (The negative and the positive y cancel each other out.)

3. Adding the numbers: 8-5 or -5+8 = 3.

Now just put it back into an equation: 3x + 0 = 3.

We don't need to add the 0, so the equation changes into 3x = 3.

3 0

2 years ago

What is the solution to this inequality? -4X > 500

Tcecarenko [31]

Answer: x < -125

Step-by-step explanation:

-4x / (-4) < 500 / (-4)

x < -125

7 0

3 years ago

The radius of a circle is 18 yards. What is the circle's area? Use 3.14 for .

IrinaVladis [17]

Solution:

We know that:

Radius: 18 yards
πr² = Area of circle
π = 3.14

Finding the area of the circle:

(π)(r²) = Area of circle
=> (3.14)(18²) = Area of circle
=> (3.14)(324) = Area of circle
=> Area of circle = 3.14 x 324 = 1017.36 yards²

3 0

2 years ago

Read 2 more answers

From a pool of 12 candidates, the offices of president, vice-president, secretary, and treasurer will be filled. In how many dif

Romashka [77]

Answer:

11,880 different ways.

Step-by-step explanation:

We have been given that from a pool of 12 candidates, the offices of president, vice-president, secretary, and treasurer will be filled. We are asked to find the number of ways in which the offices can be filled.

We will use permutations for solve our given problem.

$^nP_r=\frac{n!}{(n-r)!}$ , where,

n = Number of total items,

r = Items being chosen at a time.

For our given scenario $n=12$ and $r=4$ .

$^{12}P_4=\frac{12!}{(12-4)!}$

$^{12}P_4=\frac{12!}{8!}$

$^{12}P_4=\frac{12*11*10*9*8!}{8!}$

$^{12}P_4=12*11*10*9$

$^{12}P_4=11,880$

Therefore, offices can be filled in 11,880 different ways.

3 0

3 years ago