Answer: These are all the sides and angles:
a = 3
b = 18.76
c = 19
A = 9.1°
B = 80.9°
C = 90°
Explanation:
As per the usual convention the side c is opposite to the angle C, side a is opposite to angle a, and side b is opposite to angle B.
That means that c is the hypotenuse of the triangle.
Then, a is one leg, and b is the other leg.
Therefore, you can use Pythagorean theorem to find the unknown leg, b:
c² = a² + b² ⇒ b² = c² - a²
⇒ b² = 19² - 3² = 352
⇒ b = √352 = 18.76
Now you can use any trigonometric ratio to find one of the unknowm angles.
I wll use sine ratio to find the angle opposite to a:
sin (A) = a / 19 = 3 / 19
⇒ A = arcsin (3/19) ≈ 9.1°.
Then, the other angle is: B = 180° - 9.1° - 90° = 80.9°
And those are all the sides and angles:
a = 3
b = 18.76
c = 19
A = 9.1°
B = 80.9°
C = 90°
2/3 yard= 1 pillow
To find the total yards needed for 8 pillows, multiply 2/3 yard per pillow by 8 pillows.
= 2/3 * 8
multiply numerators; multiply denominators
= (2*8)/(3*1)
= 16/3
convert to a mixed number
= 5 1/3 yards needed
ANSWER: 5 1/3 yards is needed to make 8 pillows.
Hope this helps! :)
The correct comparison for Weeks 5-8 is higher than Week 1-4, hence, the job satisfaction for Week 5-8 is 17% higher.
<u>Job Satisfaction Score</u> :
- Week 1 = 3.50
- Week 2 = 3.40
- Week 3 = 3.30
- Week 4 = 3.60
- Week 5 = 4.20
- Week 6 = 4.00
- Week 7 = 4.10
- Week 8 = 3.90
<u>Job Satisfaction for week 1 - 4</u> :
- Week 1 + Week 2 + Week 3 + Week 4
- (3.50 + 3.40 + 3.30 + 3.60) = 13.80
<u>Job Satisfaction for Week 5 - 8</u> :
- Week 5 + Week 6 + Week 7 + Week 8
- (4.20 + 4.00 + 4.10 + 3.90) = 16.20
<u>Difference</u><u> between the two categories</u> :
[(Week 5 - 8) - (Week 1-4)] / Week 1-4] × 100%
(16.20 - 13.80) / 13.80 × 100%
(2.4 / 13.80) × 100%
0.1739 × 100%
= 17.39%
Therefore, the job satisfaction for Week 5 - 8 is about 17% higher than Week 1 - 4
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Answer:
I think it is 80 12
Step-by-step explanation: