Answer:
1.6 * 0.215 = .344
Step-by-step explanation:
Here's some screenshots providing the explanation:
Explanation:
sin
x
(
2
sin
x
+
1
)
=
0
Use trig table and unit circle -->
a. sin x = 0 => x = 0, and
x
=
π
and
x
=
2
π
b. 2sin x + 1 = 0 =>
sin
x
=
−
1
2
=>
x
=
7
π
6
and
x
=
11
π
6
.
Finally, within interval
[
0
,
2
π
]
,
there are 5 answers:
0
,
π
,
2
π
,
7
π
6
and
11
π
6
Answer:
5 felt pads.
7 cards.
Step-by-step explanation:
Remark
- The total number of items is 12
- So let the felt sheets be x
- Let the cards = y
Equations and Solution
x + y = 12
Now the price is 7.75 that she has to pay for the 12 items. She wants to come back with 0 dollars.
0.5x + 0.75y = 7.75 Multiply this equation by 2
x + 1.5y = 15.50 write the first equation underneath and subtract.
<u>x + y = 12</u>
.5y = 3 Divide by 0.5
y = 3/0.5
y = 7
So she can get 7 cards.
x + y = 12
x + 7 = 12
x = 12 - 7
x = 5
So she can buy 5 felt pads.