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BaLLatris [955]
3 years ago
8

Using basic trigonometric identities simplify the

Mathematics
1 answer:
katrin2010 [14]3 years ago
6 0

Answer:

b

Step-by-step explanation:

Using the trigonometric identities

cot x = \frac{cosx}{sinx} and tan x = \frac{sinx}{cosx} thus

\frac{cos0}{cot0} + tanΘ × cosΘ

= \frac{cos0}{\frac{cos0}{sin0} } + \frac{sin0}{cos0} × cosΘ

= cosΘ × \frac{sin0}{cos0} + sinΘ

= sinΘ + sinΘ

= 2sinΘ → b

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A town in east Texas received 30 inches of rain in two weeks. If it kept raining at this rate for a 31−day month, how much rain
anyanavicka [17]

Answer:

66 inches

Step-by-step explanation:

This implies that in this specific town in Texas, an average of 30 inches of rain falls every two weeks.

Amount of rain received every two weeks (14 days) = 30 inches.

For a 31 day month, we have:

     \frac{31}{14} =  2\frac{3}{14}

Therefore for a 31 day month, the amount of rain received by the town can be determined as;

                               = 30 x 2\frac{3}{14}

                               = 66.4285

                               = 66 inches

The amount of rain received by the town is 66 inches for the 31 days.

5 0
3 years ago
Read 2 more answers
Describe the trend/correlation<br> shown in the scatter plot below
Mkey [24]

Answer:

Negative correlation.

Step-by-step explanation:

Negative correlation means that as x increases, y decreases

Positive correlation means that as x increases, y also increases.

No correlation means that neither of the two above cases happens.

In the graph, we can see that on the right (when x is negative) the general y values are larger.

As x increases, the y-values decrease.

(Particularly, we could adjust these data with a linear equation with a negative slope)

Then this is a negative correlation.

3 0
3 years ago
If the third term in a geometric sequence is 20, and the fifth term in the
Gwar [14]

Answer: A) 1/2

Step-by-step explanation:

In a geometric sequence, the consecutive terms differ by a common ratio. The formula for determining the nth term of a geometric progression is expressed as

Tn = ar^(n - 1)

Where

a represents the first term of the sequence.

r represents the common ratio.

n represents the number of terms.

If the third term is 20, it means that

T3 = 20 = ar^(3 - 1)

20 = ar²- - - - - - - - - - 1

If the third term is 20, it means that

T5 = 5 = ar^(5 - 1)

5 = ar⁴- - - - - - - - - - 2

Dividing equation 2 by equation 1, it becomes

5/20 = r⁴/r²

1/4 = r^(4 - 2)

(1/2)² = r²

r = 1/2

6 0
3 years ago
Ashley started the year with 45 comic books. Each month , she adds 5 more comic books to her collection. Which table correctly r
dybincka [34]
Ashley starts with 45 comics. 

So in the first box: 
x  = 0, y = 45
-------------------------------------------------------------------------------------------------------
Each month, she adds 5 comic books to her collection

x (+1), y (+5) (for each month).

First month. 

x = 0
y = 45

Second month

x = 1
y = 45 (+5) = 50

Third month

x = 2
y = 50 (+5) = 55

etc.

-------------------------------------------------------------------------------------------------------

B) is your best choice, as for every month add (+1), the comic books increase by 5 respectively.

-------------------------------------------------------------------------------------------------------

hope this helps

7 0
3 years ago
Read 2 more answers
What’s the answer to 10(x-2)-3 (x+3)
Svetlanka [38]

Answer:7x-29

Step-by-step explanation: simplify and open the brackets.remember that a letter and a number cannot be sumed up but can my multipled together

5 0
2 years ago
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