Answer: the distance of the base of the house to the foot of the ladder is 6.84 feet
Step-by-step explanation:
The scenario is shown in the attached photo.
Right angle triangle ABC is formed when the ladder leans against the wall of the house.
AC = the height of the ladder
AB = x feet = distance of the base of the house to the foot of the ladder
BC is the wall of the building.
To determine x, we will apply trigonometric ratio
Cos # = adjacent/hypotenuse
Where
# = 70 degrees
Hypotenuse = 20
Adjacent = x
Cos 70 = x/20
x = 20cos70
x = 20 × 0.3420
x = 6.84 feets
-converting to a common denominator
The terms -c of the left side was converted to -4ac/4a to have the same denominator of b^2/4a.
Answer:
4180 to 5230$
Step-by-step explanation:
1. Lets find the expenses she has to make -> 4*90+660=1020$(4 new tires + other expenses)
2. As her income is not set strictly we can guess the range she can save(More accurate calculations depends on her strict incomes). We have 5200-1020=4180$(if she gets paid 5200$) and 6250-1020= 5230$(if she gets paid 6250$).
3. So the range of savings vary from 4180 to 5230$$.
Answer:
a = 45
Step-by-step explanation:
Cross multiply: 2a =90
Divide both sides by 2: 45
I hope this helped, please mark Brainliest, thank you!
Answer:
7.81mph
Step-by-step explanation:
Using the pythagoras theorem;
resultant r is expressed as;
r² = 5² + 6²
r² = 25 + 36
r² = 61
r =√61
r = 7.81mph
Hence the resultant speed is 7.81mph
