Answer: The exact length of segment HC is sqrt(3) units
The approximate length is roughly 1.73205080756888 (round that however you need to)
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Work Shown:
Let x = length of HC
Since AH = 3*HC, this means AH = 3*x
Draw out the picture. This step is optional but helpful in my opinion. The drawing is attached below.
After adding in the altitude BH, we have three similar triangles. So we can form the proportion shown below to solve for x
HC/BH = BH/AH
HC/3 = 3/AH ... replace BH with 3
x/3 = 3/AH ... replace HC with x
x/3 = 3/(3x) ... replace AH with 3x
x/3 = 1/x ... reduce
x*x = 3*1 ... cross multiply
x^2 = 3
x = sqrt(3) ... which is shorthand for "square root"
HC = sqrt(3)
HC = 1.73205080756888 which is approximate
Answer:
60 cm
Step-by-step explanation:
Parallelogram ABCD is shown in attached diagram. The diagonals of the parallelogram bisect each other, so
AE = EC
BE = ED
Ib DE = 3y + 6 cm, BE = 5y - 10 cm, then
Now, EC = 2y + 4, so
Since AE = EC, then AE = 20 cm
The brace that connects points B and D has the length
The brace that connects points A and C has the length
The average speed for the journey from Llanfyllin to Bala is 14 km/h
Average speed is the ratio of total distance travelled to total time taken. Also, average speed can be given as the average of the different speeds.
Let d₁ represent the distance from Llanfyllin to Vyrnwy and t represent the time taken, since the speed is 12 km/h, hence:
12 = d₁/t
d₁ = 12t
Let d₂ represent the distance from Vyrnwy to bala and t represent the time taken. Since they spent the same time, since the speed is 16 km/h, hence:
16 = d₂/t
d₂ = 16t
Average speed = total distance/total time
Average speed = (d₁ + d₂) / (t + t)
Average speed = (12t + 16t) / 2t
Average speed = 28t / 2t
Average speed = 14 km/h
Hence their average speed for the journey from Llanfyllin to Bala is 14 km/h.
Find out more at: brainly.com/question/23774048
The sales was increased by 44.4%.
Step-by-step explanation:
- Lets do this cumulative
- 90 of 10 % = 9 which is 99
- 90 of 10 % = 9 which is 108
- 90 of 10% = 9 which is 117
- 90 of 10% = 9 which is 126
- 90 of 4 % = 3.6 which is 129.6
- 90 of 0.044% = 0.0396 which is 129.99
- This comes to nearly 44.44 to be closer there was an increase.
- Always rule 1 approximation use 50% of 90 if it is above 130.
- Down it to 40% of 90 see if the sales is lower than 130.
- It should always start with 50,40,30....10 percents.
- Alternative should be 10,1 or decimals.
- Approximation using decimals rounding up becomes simple.
There is little information please state more points.
