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pishuonlain [190]

3 years ago

15

(1-sin^2(x))tan(-x) is not equivalent

1 answer:

Zinaida [17]3 years ago

6 0

We can simplify (1 - sin^2 (x)) tan(-x) as
-cos^2 (x). sin(x)/cos(x) = -cos(x) sin(x)
Since sin^2 (x) + cos^2 (x) = 1 and tan (-x) = -tan (x). (It may also be useful to know that cot (-x) = -cot(x) which will be incorporated in my solution later)

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What is a watershed and why is it useful?

Vesna [10]

Answer: An area or ridge of land and it’s useful because separates waters from flowing into different rivers

Step-by-step explanation: hope this helps

5 0

3 years ago

June made a design with 6 equal tiles.One tile is yellow 2 tiles are blue and 3 tiles are purple. what fraction of the tiles are

lana66690 [7]

we know that

The fraction of each tile color can be found by dividing the number of tiles for each tile by the total number of tiles, then simplifying the fraction if possible.

Let

N----------> total number of tiles

Y---------> number of yellow tiles

B--------> number of blue tiles

P--------> number of purple tiles

we have

$N=6\\ Y=1\\ B=2\\ P=3$

<u>1) Find the fraction of yellow tiles</u>

we know that

the fraction of yellow tiles is equal to

$Y/N$

substitute the values

$1/6$

<u>2) Find the fraction of purple tiles</u>

we know that

the fraction of purple tiles is equal to

$P/N$

substitute the values

$3/6$

<u>3) Find the fraction of yellow tiles or purple tiles</u>

we know that

the fraction of yellow tiles or purple tiles is equal to

$(Y/N)+(P/N)=(1/6)+(3/6)=4/6=2/3$

therefore

<u>the answer is</u>

$2/3$

3 0

4 years ago

Read 2 more answers

Bethany sent 60 text messages she said that 15% of those messages were to her best friend.How many text messages did bethany sen

Troyanec [42]

60 x .15=9 She sent 9 text messages to her friend

5 0

3 years ago

Read 2 more answers

g Two different factories named A and B both produce an automobile part. If a part came from A, the probability that the part is

Fed [463]

Answer:

0.0444 = 4.44% probability that a part chosen at random (from the sample) was defective.

Step-by-step explanation:

Probability of a defective part:

0.04 of $\frac{100}{180}$ , that is, coming from A.

0.05 of $\frac{80}{180}$ , that is, coming from B. So

$p = 0.04\frac{100}{180} + 0.05\frac{80}{180} = \frac{0.04*100 + 0.05*80}{180} = 0.0444$

0.0444 = 4.44% probability that a part chosen at random (from the sample) was defective.

3 0

3 years ago

In circle O, m∠R = 30.8°. Find m∠NOQ.

nordsb [41]

Given:

In circle O, m∠R = 30.8°.

To find:

The m∠NOQ

Solution:

Central angle theorem: According to this theorem, the central angle is always twice of subtended angle on the same arc.

Angle NOQ and angle NRQ are on the same arc but ∠NOQ is the central angle and ∠NRQ is the subtended angle on the arc NQ.

Using central angle theorem, we get

$m\angle NOQ=2\times m\angle NRQ$

$m\angle NOQ=2\times m\angle R$

$m\angle NOQ=2\times 30.8^\circ$

$m\angle NOQ=61.6^\circ$

Therefore, $m\angle NOQ=61.6^\circ$ .

4 0

3 years ago