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11Alexandr11 [23.1K]
3 years ago
8

What is the unit rate for You create 18 centerpieces for a party in 6 hours. ​

Mathematics
1 answer:
Snezhnost [94]3 years ago
8 0

Answer: The unit rate is 3 centerpieces per hour

Step-by-step explanation:

18centterpieces/6hrs =3

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Prove the following identity :<br>Sin α . Cos α .<br> Tan α =  (1 – Cos<br> α)  (1 + Cos<br> α)
Umnica [9.8K]
Let's work on the left side first. And remember that
the<u> tangent</u> is the same as <u>sin/cos</u>.

sin(a) cos(a) tan(a)

Substitute for the tangent:

[ sin(a) cos(a) ] [ sin(a)/cos(a) ]

Cancel the cos(a) from the top and bottom, and you're left with

[ sin(a) ] . . . . . [ sin(a) ] which is [ <u>sin²(a)</u> ]  That's the <u>left side</u>.

Now, work on the right side:

[ 1 - cos(a) ] [ 1 + cos(a) ]

Multiply that all out, using FOIL:

[ 1 + cos(a) - cos(a) - cos²(a) ]

= [ <u>1 - cos²(a)</u> ] That's the <u>right side</u>.

Do you remember that for any angle, sin²(b) + cos²(b) = 1  ?
Subtract cos²(b) from each side, and you have sin²(b) = 1 - cos²(b) for any angle.

So, on the <u>right side</u>, you could write [ <u>sin²(a)</u> ] .

Now look back about 9 lines, and compare that to the result we got for the <u>left side</u> .

They look quite similar. In fact, they're identical. And so the identity is proven.

Whew !





4 0
3 years ago
Read 2 more answers
Which is an internal environmental factor that affects heredity?
Naddik [55]

Answer: D.Hormones

Step-by-step explanation:

7 0
3 years ago
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Solve 81^x = 27^^^x + 2.<br><br> A. x = 1<br> B. x = 2<br> C. x = 5<br> D. x = 6
omeli [17]

Answer:

x=6

Step-by-step explanation:

81^x=27^(x+2)

3^4x=3^3(x+2)

4x=3(x+2)

4x=3x+6

x=6

6 0
3 years ago
Read 2 more answers
Sarah bought a TV for $250. Three years later she sold it for $180. Work out her percentage loss.
Anna71 [15]
70/250 x 100
Answer: 28%
3 0
3 years ago
I need help 3-6 pleasr
Colt1911 [192]
3) Mathematical expression would be:
 412 - 65 + 0.50x
Where, x = Number of Texts sent

4) Product means result after multiplication, sum after addition, quotient is the result of division with remainder, and difference is how far two numbers are in their magnitude.
"Per" tells us the magnitude for an Unit value.

5) Associative property = (a+b) + c = a+ (b+c)
Commutative property = a + b = b + a
Distributive Property = a(b+c) = ab+bc

They all have their unique characteristics and can be differentiated on that basis.

6) They all are same.
At the end, without parentheses and in proper symbol, it would be equal to -3/4

Hope this helps!
4 0
3 years ago
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