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pentagon [3]
3 years ago
5

Find the 76th term of the arithmetic sequence 16, 14, 12, ...

Mathematics
2 answers:
elena-s [515]3 years ago
8 0

Answer:

-134

Step-by-step explanation

skelet666 [1.2K]3 years ago
3 0

Answer:

-134

Step-by-step explanation:

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Please help me on this question. I forgot how to do it​
NeTakaya

Answer:

141

Step-by-step explanation:

Area of triangle = 24

Area of Trapezoid= 117

117+24

141

5 0
3 years ago
Derive these identities using the addition or subtraction formulas for sine or cosine: sinacosb=(sin(a+b)+sin(a-b))/2
Sergeu [11.5K]

Answer:

The work is in the explanation.

Step-by-step explanation:

The sine addition identity is:

\sin(a+b)=\sin(a)\cos(b)+\cos(a)\sin(b).

The sine difference identity is:

\sin(a-b)=\sin(a)\cos(b)-\cos(a)\sin(a).

The cosine addition identity is:

\cos(a+b)=\cos(a)\cos(b)-\sin(a)\sin(b).

The cosine difference identity is:

\cos(a-b)=\cos(a)\cos(b)+\sin(a)\sin(b).

We need to find a way to put some or all of these together to get:

\sin(a)\cos(b)=\frac{\sin(a+b)+\sin(a-b)}{2}.

So I do notice on the right hand side the \sin(a+b) and the \sin(a-b).

Let's start there then.

There is a plus sign in between them so let's add those together:

\sin(a+b)+\sin(a-b)

=[\sin(a+b)]+[\sin(a-b)]

=[\sin(a)\cos(b)+\cos(a)\sin(b)]+[\sin(a)\cos(b)-\cos(a)\sin(b)]

There are two pairs of like terms. I will gather them together so you can see it more clearly:

=[\sin(a)\cos(b)+\sin(a)\cos(b)]+[\cos(a)\sin(b)-\cos(a)\sin(b)]

=2\sin(a)\cos(b)+0

=2\sin(a)\cos(b)

So this implies:

\sin(a+b)+\sin(a-b)=2\sin(a)\cos(b)

Divide both sides by 2:

\frac{\sin(a+b)+\sin(a-b)}{2}=\sin(a)\cos(b)

By the symmetric property we can write:

\sin(a)\cos(b)=\frac{\sin(a+b)+\sin(a-b)}{2}

3 0
3 years ago
Subtract 5 from the product of 8 and 4 double that then add 6
kicyunya [14]

Answer:

32 - 5= 27 X 2= 54 + 6=60

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
There are 461 students and 20 teachers taking buses on a trip to a museum. Each bus can seat a maximum of 52. What is the least
natima [27]

Answer:

10 buses

Step-by-step explanation:

5 0
3 years ago
A stock was purchased at $15.75 per share, and sold at $19.25 per share What was the net profit per share?
Aleonysh [2.5K]
It. Is. (19.25-15.75)/15.75
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3 years ago
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