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QveST [7]
3 years ago
11

Based on the given triangle, the cosine of the 60 degree angle is:

Mathematics
2 answers:
irinina [24]3 years ago
8 0
The cosine of a 60 degree angle is 1/2. 
Fittoniya [83]3 years ago
4 0

Answer:

Hence, the value of cosine of the 60 degree angle is: \dfrac{1}{2}.

Step-by-step explanation:

We are asked to find the value of cosine of the 60 degree angle of the triangle.

We know that the cosine function  is one of the basic functions encountered in trigonometry."the cosine of an angle in a right‐angle triangle is the ratio of the length of the adjacent leg to the length of the hypotenuse."

Now we know directly that the \cos 60 \degree=\dfrac{1}{2}

and this value is also equal to \sin 30\degree

since, we know that \cos (90-x)=\sin x

Hence, the value of cosine of the 60 degree angle is: \dfrac{1}{2}.

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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
Consider the arithmetic sequence:
Leona [35]

Answer:

If n is an integer, the function that generate the sequence 10, 12, 14, 16, ...  is \mathbf{d(n)=8+2n\:for\:n>1}

Option D is correct option

Step-by-step explanation:

We are given the arithmetic sequence:

10, 12, 14, 16, ...

If n is an integer, which of these functions generate the sequence?

We need to find the nth term for the given sequence

The nth term for arithmetic sequence will be: a_n=a_1+(n-1)d

where aₙ is nth term, a₁ is first term and d is common difference

Looking at the sequence a₁ = 10 and d = 2

So, nth term will be:

a_n=a_1+(n-1)d\\a_n=10+(n-1)2\\a_n=10+2n-2\\a_n=8+2n

So, nth term is: a_n=8+2n

In the options below, the only correct answer is option D. so, we can write nth term as: d(n) = 8 + 2n\: for\: n > 1

So, If n is an integer, the function that generate the sequence 10, 12, 14, 16, ...  is \mathbf{d(n)=8+2n\:for\:n>1}

Option D is correct option

4 0
3 years ago
Read 2 more answers
A scientist measured the growth rate of a bamboo plant at 6 inches in 12 hours. She compared the growth rate of a bamboo plant t
Arturiano [62]

Answer:

Answer Picture:

Step-by-step explanation:

4 0
3 years ago
Factor 10x^3 8x^2 - 6x. (<br> a.2x(5x 4x - 3) (<br> b.2x(5x 4x^2- 3) (<br> c.2x(5x^2 4x - 3)
Semmy [17]
You have to look at the equation and find a common factor bettween all parts. SO, we see they all have an x, so that is the first thing you can factor out. They also have 
2x(5x2 4x -3) C

4 0
3 years ago
Please help asap I will give you brainliest Find the area of the shaded region
kondaur [170]

Answer:

36

Step-by-step explanation:

Area of total region = 12 ×5

=60

Area of the small region = 8×3

=24

Area of shaded region = Area of Total region - area of small region

= 60 - 24

= 36

4 0
3 years ago
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