Answer:
1/3
Step-by-step explanation:
Answer:
1). a = 9.42 m
2). b = 6.37 m
3). c = 4.48 m
Step-by-step explanation:
In the figure attached,
By applying tangent rule in triangle ADE,
tan47 = 
c = 
c = 
c = 4.476
c ≈ 4.48 m
Now we apply the same rule in triangle ACE,
tan37° = 
b = 
b = 
b = 6.37 m
Now apply the tangent in triangle ABE,
tan27° = 
a = 
a = 
a = 9.42 m
The one day pay is $106.25 rounded to the nearest hundredth.
<u>Step-by-step explanation:</u>
<u>From the table shown :</u>
- The timing shown in the morning is from 8:00 to 12:15
- The number of hours worked in the morning = 4 hours 15 minutes.
It is given that, the pay is $12.5 per hour.
Therefore, the pay earned in the morning = No.of hours × pay per hour.
⇒ 4 hours × 12.5 = $50
⇒ (15 mins / 60 mins) × 12.5 = $3.125
⇒ 50+3.125
⇒ 53.125
- The timing shown in the afternoon is from 8:00 to 12:15
- The number of hours worked in the morning = 4 hours 15 minutes.
Therefore, the pay earned in the afternoon = No.of hours × pay per hour.
⇒ 4 hours × 12.5 = $50
⇒ (15 mins / 60 mins) × 12.5 = $3.125
⇒ 50+3.125
⇒ 53.125
The pay for 1 day = pay earned in the morning section + pay earned in the afternoon section.
⇒ 53.125 + 53.125
⇒ 106.25
∴ The one day pay is $106.25 rounded to the nearest hundredth.
To solve this problem you must apply the proccedure shown below:
1. You have the the<span> 13.5-m fire truck ladder is leaning against a wall and the ladder makes an angle of 39 degrees 45 ' with the horizontal.
2. Then you have:
3</span>9 degrees 45'=39.75°
<span>
Sin(39.75°)=d/13.5
d=13.5x</span>Sin(39.75°)
<span> d=8.63
</span>
Answer:
x(3y - 1) and (2a - 3)(2a + 3)
Step-by-step explanation:
(1)
3xy - x ← factor out x from each term
= x(3y - 1)
(2)
4a² - 9 ← is a difference of squares and factors in general as
a² - b² = (a - b)(a + b) , then
4a² - 9
= (2a)² - 3²
= (2a - 3)(2a + 3)
