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Oliga [24]
2 years ago
12

Which expression is equivalent to sin^2(pi/2 - x)/ sin x?

Mathematics
1 answer:
Yuki888 [10]2 years ago
3 0
We\ know:\\\\\sin\left(\dfrac{\pi}{2}-x\right)=\cos x\\and\\\sin^2x+\cos^2x=1\to\sin^2x=1-\cos^2x\\---------------------------\\\\\dfrac{\sin^2\left(\dfrac{\pi}{2}-x\right)}{\sin x}=\dfrac{\cos^2x}{\sin x}=\dfrac{1-\sin^2x}{\sin x}=\dfrac{1}{\sin x}-\dfrac{\sin^2x}{\sin x}\\\\=\dfrac{1}{\sin x}-\sin x=\csc x-\sin x
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6 (3x-1)-10x. with work please :)
STatiana [176]
Hey there!
Let's break this expression into two parts:
6(3x-1) and -10x

To solve the first part, we need to use the distributive property which states:
a(b+c) = ab+ac

Applying that to this problem, we have:
6(3x) + 6(-1) =
18x - 6

Now, we can take that -10x and put it right back in:

18x - 6 - 10x

Combine like terms and subtract the 10x from the 18x to get:
8x - 6

Hope this helps!
4 0
3 years ago
Use the position equation given below, where s represents the height of the object (in feet),
mariarad [96]

The answers to the questions are

  • The mathematical model is given as s = −16t2 + 1054
  • The height after 4.5 seconds is 730 feet
  • the time it would take to strike the ground is 8.11 seconds.

<h3>How to solve for the position of the object</h3>

The mathematical model of this problem would be written as

s = −16t2 + v0t + s0

s0 = 1054

then we would have

s = −16t2 + 1054

b. after 4.5 seconds the height is going to be

s = −16t2 + 1054

=  −16(4.5)² + 1054

= -16 * 20.25 + 1054

= 730

C. the time that it takes to strike the ground

s = −16t² + 1054

= 16t² = 1054

t² = 1054/16

= 65.88

t = √65.88

t = 8.11

Hence the time it would take to strike the ground is 8.11 seconds.

Read more on velocity here:

brainly.com/question/4931057

#SPJ1

8 0
1 year ago
Multiply the polynomials.
Nonamiya [84]

Answer:

The answer to your question is: letter A

Step-by-step explanation:

      (x + 3) (3x² + 8x + 9) = 3x³  + 8x² + 9x + 9x² + 24x + 27

                                       = 3x³ + 17x² + 33x + 27              Simplify like terms      

Α. 3x3 + 17x2 + 33x + 27

Β. 3x3 + 17x2 – 15x + 27

C. 3x2 + x2 + 33x+ 27

D. 3x3 + 17x2 + 33x - 27

​

7 0
3 years ago
martin's class has 28 students in it. 25% of those students are home sick today. how many students are home sick?
IRINA_888 [86]

Answer:

get a calculator and do 28 - 25%

Step-by-step explanation:

7 0
2 years ago
Quadrilateral BCDE is inscribed in circle A. The measure of ⏜ is 73°. The measure of ⏜ is 53° and the measure of ⏜ is 102°. Dete
Anton [14]

Answer: c

Step-by-step explanation:

4 0
2 years ago
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