The length of the ramp calculated using Pythagoras is approximately 350 cm
From the diagram attached :
- Height of ramp = opposite = 225 cm
- Angle of inclination, θ = 40°
Using Pythagoras ; the length of the ramp can calculated as follows :
Sin θ = opposite / hypotenus
Sin 40° = 225 / hypotenus
Cross multiply
Hypotenus × 0.6427876 = 225
Divide both sides by 0.6427876 to isolate the hypotenus
Hypotenus = 225 / 0.6427876
Hypotenus = 350.03786 cm
Therefore, the length of the ramp which is the hypotenus is approximately 350 cm
Learn more : brainly.com/question/10040532
Answer:
150 degrees
Step-by-step explanation:
- Let the supplement = x
- So the angle you want is 5x
- Then [x + 5x] = 180 because they are supplementary.
- Solving. 6x = 180. Then x = 30.
- So the angle is 5x = 5×30 = 150 degrees
Answer:
a
Step-by-step explanation:
28/7=4
24/8=3
Answer:

Step-by-step explanation:
3 minutes 59.1 seconds = (3*60) + 59.1 seconds = 180 + 59.1 seconds
=> 239.1 seconds
![\rule[225]{225}{2}](https://tex.z-dn.net/?f=%5Crule%5B225%5D%7B225%7D%7B2%7D)
4 minutes 3.8 seconds = (4*60) + 3.8 seconds = 240 + 3.8 seconds
=> 243.8 seconds
![\rule[225]{225}{2}](https://tex.z-dn.net/?f=%5Crule%5B225%5D%7B225%7D%7B2%7D)
4 minutes 1.6 seconds = (4*60) + 1.6 seconds = 240 + 1.6 seconds
=> 241.6 seconds
![\rule[225]{225}{2}](https://tex.z-dn.net/?f=%5Crule%5B225%5D%7B225%7D%7B2%7D)
Mean = Sum of data / No. of Data
Mean = 239.1 + 243.8 + 241.6 / 3
Mean = 724.5 / 3
Mean = 241.5 seconds
<u>In Minutes and Seconds:</u>
= 241.5 / 60 = 4.025 minutes
= 4 minutes + 0.025 minutes
= 4 minutes + (0.025 * 60) seconds
= 4 minutes 1.5 seconds
![\rule[225]{225}{2}](https://tex.z-dn.net/?f=%5Crule%5B225%5D%7B225%7D%7B2%7D)
Hope this helped!
<h3>
~AH1807</h3>
Total known withholdings = federal + state + FICA + involuntary
= (12 + 7 + 7.65) % of 1,375 + Involuntary
Net income = gross - withholdings
$725.00 = $1,375.00 - [(12 + 7 + 7.65) % of 1,375 + Involuntary]
Solve for involuntary
725=1375-0.2665×1,375-inv
725=1375-366.4375-inv
Involuntary=1,375−366.4375−725
Involuntary=283.56
Hope it helps