Answer:
a = 7, b = 
Step-by-step explanation:
Using the sine ratio in the left right triangle and the exact value
sin45° =
, then
sin45° =
=
=
( cross- multiply )
a ×
= 7
( divide both sides by
)
a = 7
--------------------------------------------------------
Using the tangent ratio in the right triangle on the right and the exact value
tan60° =
, then
tan60° =
=
=
=
( multiply both sides by b )
b ×
= 7 ( divide both sides by
)
b =
×
= 
33 is the sum of twenty-eight plus five.
Answer:
The number of DVD's is 6.
Step-by-step explanation:
Given:
Grace bought a television for $329.
Some DVDs for $5.75 each.
She spent total of $363.50
Now, to find out the number of DVD's Grace bought.
Let the number of DVD's be 
So, cost of DVD's =
Cost of television = $329.
Total amount spent = $363.50.
According to question:
Now, putting the equation to solve:

<em>Subtracting with 329 on both sides we get:</em>

<em>Dividing both sides by 5.75 we get:</em>

Therefore, the number of DVD's is 6.
The answer is 6x³. I will show you step by step how to reach this answer.
3x(2x²) = 6x²x
6x²x = 6x³
It's that simple. Hope I helped you out!