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Serggg [28]
3 years ago
8

6. 3 7 4 8 The area of the figure is 22 sq units. TRUE FALSE arch

Mathematics
1 answer:
Rama09 [41]3 years ago
7 0
False

Area is 41

Hope this helps!!!
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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
If i walk 4 miles per hour how long will it take to walk a mile
fiasKO [112]
Hi there! The answer is 15 minutes.

Walking 4 miles per hour means that it takes you 60 minutes to walk 4 miles. To find the time it takes you to walk 1 mile, we must divide both sides by 4.

4 miles equals 60 minutes.
1 mile equals 60 / 4 = 15 minutes.

The answer is 15 minutes.
4 0
4 years ago
Help me with this please I will give you Brainliest
oksian1 [2.3K]
Answer

h = 8.12 cm

Explanation

Area of a parallelogram = b • h

We know the area is 20.3 cm^2 and that the base is 2.5cm.

Therefore 20.3 cm^2 = 2.5h

20.3/2.5 = 8.12 cm

h = 8.12 cm
3 0
3 years ago
Write each statement as an algebraic expression.
12345 [234]
Just go through it phrase by phrase by phrase - one step at a time.

2*(       )
2*(x - 7)
\frac{2*(x - y)}{5*x*y}
6 0
3 years ago
Find the area of the striped sector if ∠ A = 45° and the circle has a radius of 10 inches.
Pie
A diagram must be provided along with the question above. Based on my research, here is what I got.

<span>100 pi is the area of the entire circle
 That makes :
</span><span>∠ A = 45°/360 = 1/8
</span> 100pi/8 = 25 pi / 2
 
The answer is option D)25π over 2. I hope this answer helps.
4 0
3 years ago
Read 2 more answers
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