1. John can create 5 paintings per week.

2. Sasha can walk 30 minutes per mile.

3. Todd takes 24 minutes per room he cleans.

4. Victoria takes half of one day per necklace she makes.

5. Byron can make 12 cakes per day.

6. Charlie paid $130 for each table.

5 0

3 years ago

Prove that sin20sin40sin60sin80=3/16

never [62]

We'll use the following properties of sine and cosine to prove this:

$sin(a)\cdot sin(b) = \frac12(cos(a-b) - cos(a+b))$

$cos(a)\cdot cos(b) = \frac12(cos(a+b) + cos(a-b))$

$cos(180+a) = cos(180-a)$

Then it's just a matter of filling it in...

sin20sin40 * sin60sin80 = 1/2(cos20 - cos60) * 1/2 (cos20 - cos140) =

1/8( cos40 + 1 - cos160 - cos120 - cos40 - cos80 + cos80 + cos200) =

1/8(1 - cos160 - cos120 + cos200) =

1/8(1 - cos160 - cos120 + cos160) =

1/8(1 - cos120 ) = 1/8( 1 + 1/2 ) = 3/16

5 0

3 years ago

-3 | -8n – 8 | = -120<br><br> Can you guys solve for absolute value??

alexandr1967 [171]

Answer:

n = -6 or n = 4.

Step-by-step explanation:

-3 | -8n – 8 | = -120

Divide both sides by -3:

| -8n – 8 | = 40

This gives us 2 equations because the expression in the absolute signs can be positive or negative:

-8n - 8 = 40

so -8n = 48

n = -6.

and

-8n - 8 = -40

-8n = -32

n = 4.

3 0

3 years ago

(B) 1. Noah is three years younger than four times the age of his brother. Select all the equations that correctly represent the

Ann [662]

Answer:

i beleive it would be b4-3=n

5 0

3 years ago