Let the height of the building be x. Let the initial distance of the ant from the building be y, then
tan 32 = x/y
y = x/tan 32 . . . . . . . . (1)
tan 22 = x/(y + 66)
y tan 22 + 66 tan 22 = x
y = (x - 66 tan 22)/tan 22 . . . . . . . . (2)
Equating (1) and (2), we have
x/tan 32 = (x - 66 tan 22)/tan 22
x tan 22 = x tan 32 - 66 tan 22 (tan 32)
x(tan 32 - tan 22) = 66 tan 22 (tan 32)
x = (66 tan 22 (tan 32))/(tan 32 - tan 22) = 66(0.4040)(0.6249)/(0.6249 - 0.4040) = 16.6626/0.2208 = 75.4
Therefore, the height of the building is 75.4 feet.
Answer:
3, -3 ; 4, -4
Step-by-step explanation:
Yes, 3 and -3 are inverse because positive is the inverse of negative.
You could also write
and
because squares and square roots are inverse operations.
Answer:
The correct option is 2.
Step-by-step explanation:
Zina spends 1.5 hours setting up her sewing machine and making one hat.
The total amount of time spent making hats can be represented by the sequence
1.5, 2.25, 3.0, 3.75, ...
It is an AP, where first term is 1.5 and common difference is
The recursive formula of an AP is
It can also be written as
Therefore the correct option is 2.
Answer:
3 is warmest -6 is coolest
Step-by-step explanation:
hope is useful
Answer:
y=10x-15
Step-by-step explanation:
with the points given you know x=2 and y=5
make a new point called (x,y)
now use the formula (y-5)/(x-2)=10 (10 being the gradient)
y-5 = 10(x-2)
y-5=10x-20
add 5 to both sides
y-5+5=10x-20+5
y=10x-15