Answer:
108
Step-by-step explanation:
Limit as x approaches 9 of x^2 -81/sqrt of x - 3
First substitute x into the expression
= 9²-81/√9 - 3
= 81-81/3-3
= 0/0 (indeterminate)
Apply l'hospital rule
= lim x -> 9 d/dx(x²-81)/√x - 3
= lim x -> 9 2x/1/2√x
Substitute x = 9
= 2(9)/1/2√9
=18/1/(2(3)
=18 × 6/1
= 108
Hence the limit of the function is 108
Answer:
175 ft
Step-by-step explanation:
Let c represent the change in altitude. Then an equation can be written:
150 +c = 325
We solve for c by subtracting 150 from both sides of the equation:
c = 325 -150 = 175
The change in altitude is an increase of 175 feet.
_____
This confirms the general rule that to find the value of a change, you subtract the original value from the new value. Here, that means ...
c = 325 -150 = 175 . . . . as above.
Answer:
42°
Step-by-step explanation:
all triangles have 180 degrees, you are given 48. the symbol above 48 tells you it is 90 degrees. ther fore you can use 180- 90 - 48= 42
Answer:
6.1
Step-by-step explanation:
Taking cos function,
Cos C=BC/AC
Cos 35°=5/a
a=5/cos 35°
a=6.1
Answer:
35/80
u want to find a number that is proportional to 35/80, then all u need is a number that is equivalent...another words, if it is proportional, it is an equivalent fraction to 35/80.
there can be several answers to this...such as 35/80 reduces to 7/16...so 7/16 is proportional....or if u multiply numerator and denominator by the same number, u will find a proportional number...
example :
35/80 * 2/2 = 70/160...this is proportional
35/80 * 3/3 = 105/240...this is proportional
35/80 * 4/4 = 140/320...this is also proportional
and so on....
so without giving us any answer choices, there can be many numbers to choose from