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Reil [10]
3 years ago
9

Which sum or difference identity would you use to vertify that cos (180⁰- thata)=-cos thata ​

Mathematics
1 answer:
astraxan [27]3 years ago
3 0

Step-by-step explanation:

Use the angle difference formula for cosine.

cos(α − β) = cos α cos β + sin α sin β

cos(180° − θ) = cos 180° cos θ + sin 180° sin θ

cos(180° − θ) = (-1) cos θ + (0) sin θ

cos(180° − θ) = -cos θ

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Can you please help me list the forms As_,_ and limits
Anastasy [175]

Given the function:

f(x)=\frac{2x+1}{x}

First, the graph of the function will be as shown in the following figure:

For the given rational function, we will find the following:

Domain = ( -∞, 0 ) ∪ ( 0, ∞ )

Range = ( -∞, 2) ∪ (2, ∞ )

Increasing = Φ

Decreasing = ( -∞, 2) ∪ (2, ∞ )

All asymptotes:

Vertical asymptote: x = 0

Horizontal Asymptote: y = 2

All limits:

\begin{gathered} \lim _{x\rightarrow-\infty}f(x)=2 \\ \lim _{x\rightarrow\infty}f(x)=2 \\ \lim _{x\rightarrow0^-}f(x)=-\infty \\ \lim _{x\rightarrow0^+}f(x)=\infty \end{gathered}

3 0
2 years ago
What is the probability that a five-card poker hand contains exactly one ace?.
spin [16.1K]

The probability of selecting exactly one ace is its likelihood

The probability that a five-card poker hand contains exactly one ace is 29.95%

<h3>How to determine the probability?</h3>

There are 4 aces in a standard deck of 52 cards.

The probability of selecting an ace would be:

p = 4/52

Also, there are 48 non-ace cards in the standard deck

So, the probability of selecting a non-ace after an ace has been selected is:

p = 48/51

The probability of selecting a non-ace up to the fifth selection are:

  • After two cards have been selected is:  47/50.
  • After three cards have been selected is:  46/49.
  • After four cards have been selected is:  45/48.

The required probability is then calculated as:

P(1 Ace) = n * (4/52) * (48/51) * (47/50) * (46/49) * (45/48)

Where n is the number of cards i.e. 5

So, we have:

P(1 Ace) = 5 * (4/52) * (48/51) * (47/50) * (46/49) * (45/48)

Evaluate

P(1 Ace) = 0.2995

Express as percentage

P(1 Ace) = 29.95%

Hence, the probability that a five-card poker hand contains exactly one ace is 29.95%

Read more about probability at:

brainly.com/question/25870256

8 0
3 years ago
Number 1 has a picture
MA_775_DIABLO [31]
Question 1

cos(C) = adj/hyp
cos(C) = BC/AC
cos(C) = 15/17

Answer: Choice C) 15/17

=============================================

Question 2

sin(E) = opp/hyp
sin(E) = FD/DE
sin(E) = 24/25

So angle E is the answer

=============================================

Question 3

AC is the adjacent side to the given angle A = 33 degrees
AB = 14 is the hypotenuse

cos(angle) = adjacent/hypotenuse
cos(33) = x/14
14*cos(33) = x
x = 14*cos(33)
x = 11.741
x = 11.7

Answer: 11.7

=============================================

Question 4

x = length of board

cos(angle) = adj/hyp
cos(55) = 6/x
x*cos(55) = 6
x = 6/cos(55)
x = 10.46068
x = 10.5

Answer: 10.5

=============================================

Question 5

112 is the adjacent side to the given angle 62 degrees
x = height of building, which is the opposite leg

tan(angle) = opp/adj
tan(62) = x/112
112*tan(62) = x
x = 112*tan(62)
x = 210.641364
x = 210.6

Answer: 210.6
3 0
4 years ago
Answer these Questions for me pleaseeeee....
Thepotemich [5.8K]

Answer:

A. 31

B. 5

C. 9/31 or 0.29%

D. 2/31 or 0.06%

E. 0 or unknown

Step-by-step explanation:

A is the addition of all the entries, B is the number of entries that said snakes, C and D are about how many out of the total can give you the corresponding animal, chances are always part/total so for C it's 9/31 and D is 2/31. E is 0 or unknown because there is no "Frog" entries as favorite pet so it must be either 0 or unknown because you don't get the information

<em>pls brainliest if you found useful</em>

3 0
3 years ago
What does 3/5 equal to as a decimal
sergiy2304 [10]
\frac{3}{5}=\frac{3\times2}{5\times2}=\frac{6}{10}=0.6\\\\other\ method:\\\\\underline{0.6}\\3:5\\\underline{0}\\30\\\underline{30}\\R=0\\\\\frac{3}{5}=0.6

5 0
4 years ago
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