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4 years ago

8

Simplify the expression: 1-cotx/tanx-1

1 answer:

enyata [817]4 years ago

7 0

Multiply numerator and denominator by sin(x) * cos(x), getting:

((sin(x) * cos(x)) - cos^2(x) / (((sin^2(x)) - (sin(x) * cos(x))) =

(cos(x) * (sin(x) - cos(x)))
------------------------------------
(sin(x) * (sin(x) - cos(x)))

and after you cancel the two identical terms (sin(x) - cos(x)), you have:

cos(x)
----------- = cot(x) <--------------- Answer
sin(x)

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If a ball is dropped from a height of 18 feet, the function f(x) = 18(0.75)* gives the height

NeTakaya

Answer:

<h2>At the 7th bounce, the ball reached 2.3 feet height.</h2>

Step-by-step explanation:

The given expression is

$f(x)=18(0.75)^{x}$

This exponential function represents the movement of a bouncing ball after being dropped.

$x$ represents the bounce number.

So, at 7th bounce means $x=7$ , replacing this value in the function, we have

$f(7)=18(0.75)^{7}=18(0.13) \approx 2.34$

Therefore, at the 7th bounce, the ball reached 2.3 feet height.

8 0

4 years ago

The price of a ticket to a play is $50 per person. On Monday afternoons, the theater reduces the ticket price to $35 per

Anvisha [2.4K]

Answer:

40%

Step-by-step explanation:

7 0

3 years ago

Wendy is paid 7.20 for every 4/5 of an hour she works. what is Wendy's pay per hour

GuDViN [60]

Answer:

9.00 per hour

Step-by-step explanation:

<u>Payment is</u>

7.20 for every 4/5

<u>Divide both by 4/5 to find payment per hour</u>

7.20 ÷ 4/5 ⇔ 4/5 ÷ 4/5
7.20 ÷ 0.8 ⇔ 1
9.00 ⇔ 1

9.00 unit of money per 1 hour

7 0

3 years ago

Read 2 more answers

It takes Dan 32 minutes to complete 2 pages of math homework. At this rate, how many pages does he complete in 200 minutes?

kakasveta [241]

Answer:

12.5 pages

Step-by-step explanation:

32 minutes/2 pages = 16 minutes per a page

200 minutes/16= 12.5 pages

7 0

3 years ago

Read 2 more answers

The parents of three children, ages 1, 3, and 6, wish to set up a trust fund that will pay X to each child upon attainment of ag

ehidna [41]

Answer:

The equation of <em>Z</em> is: $Z=X(v^{17}+v^{15}+v^{12})+Y(v^{20}+v^{18}+v^{15})$

Step-by-step explanation:

The first child is of age 1 year.

Then the amount invested for the 1-year old is: $Xv^{17}+Yv^{20}$

The second child is of age 3 years.

Then the amount invested for the 3-year old is: $Xv^{15}+Yv^{18}$

The third child is of age 6 years.

Then the amount invested for the 6-year old is: $Xv^{12}+Yv^{15}$

The one-time investment will be:

$Z=Xv^{17}+Yv^{20}+Xv^{15}+Yv^{18}+Xv^{12}+Yv^{15}\\=X(v^{17}+v^{15}+v^{12})+Y(v^{20}+v^{18}+v^{15})$

6 0

3 years ago