Answer:
The answer is C
Step-by-step explanation:
(5/6)(5/8) = 25/48
(25/48)(3/2) = 75/96
simplify 75/96 = 25/32
Answer:
The distance of the overpass above the ground is approximately 26.795 ft
Step-by-step explanation:
The parameters given are;
The distance from the overpass the engineer stands before determining the angle of elevation of the overpass from his standing point = 100 ft
The angle of elevation of the overpass as determined by the engineer from 100 ft = 15°
By trigonometric ratios, we have;
The opposite side to the 15° angle of elevation in the above case is the distance of the overpass above the ground
The opposite side to the 15° is the distance of the engineer from the base of the overpass
Therefore;
Tan(15°) the height of the overpass=
length
The distance of the overpass above the ground = 100 × tan (15°) ≈ 26.795 ft.
Answer:
Final cost of ticket = $205
Step-by-step explanation:
Speed limit is given: 60 miles per hour
Car travelling at a speed of: 78 miles per hour
Car is exceeding speed limit by: 78 - 60 = 18 miles per hour
We are given that the dine ticket includes $25 plus $10 for each mile over the speed limit:
Final cost of ticket = $25 + (miles over speed limit * 10)
= 25 + (18*10)
= 25 + 180 = $205
Answer:
c
Step-by-step explanation:
Jessica planted a rosebush in her garden. The rosebush has a height of 30 cm. Each month the rosebush increases by 6 cm. Which equation can be used to determine the height of the plant in centimetres, y, after x months?
the rate of increase of the bush every month is 6 cm
Rate of increase of the bush in x months = 6x
because the bush increases every month, 6x would be added to 30cm
y = 6x + 30
If the bush decreased at a rate of 6cm every month, the equation would be y = 30 - 6x
