The answer is 0.1 lbs. Or 1/10 lbs.
Hope this helps!
Answer:
Step-by-step explanation:
<u>To make the given piecewise function continuous we need:</u>
- ax² - b = 6 and 5ax + b = 6 at x = 1
<u>It gives us the system:</u>
- a(1²) - b = 6 ⇒ a - b = 6
- 5a(1) + b = 6 ⇒ 5a + b = 6
<u>Sum of the two:</u>
- a - b + 5a + b = 6 + 6
- 6a = 12
- a = 2
<u>Then b is:</u>
Answer:
Exact value of Cos(45° - 60°) is 0.96 using difference of two angles.
Step-by-step explanation:
Given:
Cos(45° - 60°)
We have to apply the formula of cosine for difference of the two angles.
Formula:
Plugging the values.
⇒
We know that the values :
and
So,
⇒
⇒
⇒
⇒ ...<em>rationalizing </em>
⇒
⇒ ...<em>taking 2 as a common factor</em>
<em>⇒ </em>
To find the exact values we have to put the values of sq-rt .
As<em>, </em> and
Then
<em>⇒ </em><em />
<em>⇒ </em><em />
⇒
So the exact value of Cos(45° - 60°) is 0.96 using difference of two angles.