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3 years ago

Expressed in the simplest form csc theta times tan theta times cos theta is equivalent to

1 answer:

4 0

<span>From the given information cosec theta times tan theta times cos theta, writing this triginometric expression as an equation. cosec theta x tan theta x cos theta cosec theta = 1/sin theta tan theta = sin theta / cos theta Calculating the equation after substituting (1/sin theta) x (sin theta / cos theta) x (cos theta) = 1</span>

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The price of a cup coffee was 2.40 yesterday. Today, the price fell to 2.15 find the percentage decrease. Round the answer to th

irakobra [83]

ANSWER

The percentage decrease is 10.4%.

EXPLANATION

To calculate percentage decrease, use the formula,

Percentage decrease

$= \frac{new \: price - old \: price}{old \: price} \times 100\%$

Yesterday the price of coffee was 2.40. This is the old price.

Today the price is 2.15. This is the new price.

$= \frac{2.15 - 2.40}{2.40} \times 100\%$

$= \frac{ - 0.25}{2.40} \times 100\%$

$= - 0. 10416667 \times 100\%$

$= - 10.416667\%$

To the nearest tenth, we have:

$- 10.4\%$

Therefore the percentage decrease is 10.4%.

8 0

3 years ago

There are six professors teaching the introductory discrete mathematics class at someuniversity. The same final exam is given by

musickatia [10]

Answer:

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Brianna’s family spent $134 on 2 adult tickets and 3 youth tickets at an amusement park. Max’s family spent $146 on 3 adult tick

love history [14]

Let
x:adult tickets
y:youth tickets
We have
2x+3y=134
3x+2y=146
Rewritting
6x+9y=402
-6x -4y=-292
adding
5y=110
Clearing y:
y=110/5
y=22
Answer:
the price of a youth ticket is 22$

5 0

2 years ago

a surf instructor has an initial fee of $12 and charges $8 per hour for lessons. Write a linear equation that represents the tot

Ray Of Light [21]

y = total cost

x = # of hours

$12 + $8x = y

8 0

3 years ago

The height 'h' (in feet) of a ball in a baseball game can be modeled by h = -16t² + 28t + 8 , where 't' is the time (in seconds)

lidiya [134]

Answer:

a) No. t < 0 is not part of the useful domain of the function

b) 2.0 seconds

Step-by-step explanation:

a) A graph of the function is shown below. It shows t-intercepts at t=-0.25 and t=2.0. We presume that t is measured forward from some event such as the ball being thrown or hit. The model's predicted ball location has no meaning prior to that event, when values of t are negative.

b) It is convenient to use a graphing calculator to find the t-intercepts. Or, the equation can be solved for h=0 any of several ways algebraically. One is by factoring.

h = 0 = -16t² +28t +8 . . . . . . . . . . . . the ball hits the ground when h = 0

0 = -4(4t² -7t -2) = -4(4t +1)(t -2)

This has t-intercepts where the factors are zero, at t=-1/4 and t=2.

The ball will hit the ground after 2 seconds.

4 0

3 years ago