Answer:
3) 5
4) 8.2
5) 6.8
6)FG = 6.4
7) EF = 3.6
8)DF = 4.8
Step-by-step explanation:
From the attached triangle, using trigonometric ratio we can find ∠G as; tan^(-1) (6/8)
Thus, ∠G = 36.87°
Still using trigonometric ratios;
FG/8 = cos 36.87°
FG = 8 cos 36.87°
FG = 6.4
3) EF + FG = EG
Since EG is 10, mean of EF and FG = 10/2 = 5
4) mean of EG and FG = (10 + 6.4)/2 = 8.2
5) EF + FG = EG
Thus; EF = EG - FG
EF = 10 - 6.4
EF = 3.6
Mean of EG and EF = (10 + 3.6)/2 = 6.8
6) FG = 6.4
7) EF = 3.6
8) Using trigonometric ratio;
DF/8 = sin 36.87
DF = 8 × 0.6
DF = 4.8
Answer:
Step-by-step explanation:
The total amount of punch that Jennifer made for her party is 5 Liters. Her brother made another 750 milliliters.
1000 milliliters = 1 liter
750 milliliters = 750/1000 = 0.75Liter
if they combine the two batches, the total amount made would be
5 + 0.75 = 5.75Liter
= 5.75 × 1000 = 5750 milliliters
The number of 180 milliliters servings would be
5750/180 = 31 servings
There would be leftovers of 170 milliliters
Answer:
2/4. I.e multiplying both denominator and numerator by 2
Step-by-step explanation:
Answer:
£125000
Step-by-step explanation:
Original cost of house = £100 000
Percent increase = 25%
Increase in price = 25% of 100,000
Increase in price = 0.25 * 100,000
Increase in price = 25000
New cost = original cost + Increment
New cost = 100,000 + 25,000
New cost = 125,000
Hence it now cost £125000
Step-by-step explanation:
5(tanx)^2 -2 +tanx=0
let tanx=y
5y^2 + y-2=0
y=0.5403 or y= -0.7403
tanx=0.5403
x=arctan(0.5403)
x=28.38°
or
tanx=-0.7403
x=arctan(-0.7403)
x=143.49°
