Answer:
The the angle which the wire make with the ground is 1.280 radian .
Step-by-step explanation:
Given as :
The length of the wire attached to the top of building = OB = 70 foot
The distance of wire anchored from base of ground = OA = 20 feet
Let the angle made by wire en and ground = Ф
Now from , In Triangle AOB
Cos angle = 
Or, Cos Ф = 
or, Cos Ф = 
Or, Cos Ф = 
∴ Ф = 
I.e Ф = 73.39°
Now in radian ,
∵ 180° = 
radian
∴ 73.39° = 
× 73.39°
= 
× 73.39° = 1.280 radian
Hence The the angle which the wire make with the ground is 1.280 radian . Answer
Answer:
Y = 12
Step-by-step explanation:
3/9 = 4/y
By cross multiplying, we get
3*y = 4*9
3y = 36
Y = 12
Answer:
Find out the what function equation represents the population of the city after t years .
To prove
The population of a city is 451,400. The population is expected to decrease at a rate of 3.2% each year.
This can be represented by exponential decreasing function.
Where a is the initial value.
r is the rate in decimal form
t is the time.
Here
a = 451,400
3.2 % is written in the decimal form.
= 0.032
Put in the formula
Therefore the decrease in the population of the city after t years is represented by
Answer:
see below
Step-by-step explanation:
-33, -27, -21, -15,....
-33 +6 = -27
-27+6 = -21
-21+6 = -15
This is an arithmetic sequence
The common difference is +6
explicit formula
an=a1+(n-1)d where n is the term number and d is the common difference
an = -33 + ( n-1) 6
an = -33 +6n -6
an = -39+6n
recursive formula
an+1 = an +6
10th term
n =10
a10 = -39+6*10
= -39+60
=21
sum formula
see image
The sum will diverge since we are adding infinite numbers
Answer:
It will be 57 points.
Step-by-step explanation:
