- 3
distribute each bracket, multiplying the terms in the bracket by the value outside the bracket.
= 3g + 15 - 3g - 18 → ( collect like terms)
=(3g - 3g) + (15 - 18) = 0 + ( - 3) = - 3
Answer:
50√3 ≈ 86.6 m
Step-by-step explanation:
The geometry can be modeled by a right triangle with the height of the kite being the leg opposite the 60° angle. The hypotenuse has the given length of 100 m.
The mnemonic SOH CAH TOA reminds you that the relation between angles and the sides of interest here is ...
Sin = Opposite/Hypotenuse
sin(60°) = (kite height)/(100 m)
kite height = (100 m)·sin(60°) = (100 m)(√3)/2
kite height = 50√3 m ≈ 86.6 m
Answer: 7.7 years
Step-by-step explanation:
Given
The cost of HD TV is $700 and it is decreasing at the rate of 15% per year
After one year it becomes

after 2 year it becomes

Suppose, after x years it becomes $200

Thus, it takes 7.7 years for the cost to come under $200.
Answer: £ 81.38
Step-by-step explanation:
Given: On Monday,
5 builders took
hours ( i.e.
hours ) to build a wall.
On Tuesday, only 2 builders were available.
As workers are inversely proportional to the time if the job remains constant.
Inverse variation equation : 
Let x be the time taken by 2 builders, then


So, 2 builders will take 8.75 hours.
Each paid £9.30 for each hour.
Then, each builder will be paid for the work completed on Tuesday = £9.30 x 8.75
≈ £ 81.38
Hence, each builder will be paid £ 81.38 for the work completed on Tuesday .
Answer:
4 2/3
Step-by-step explanation: