Answer: The height of the pole is 175.97 ( approx )
Step-by-step explanation:
Let the height of the pole is x cm,
Also, let the angle of elevation of the sun to the pole at 3 pm is 
Thus, by the question,
( at 3pm the height of shadow = height of the pole)
Again, according to the question,
When the angle of elevation is 
,
The height of shadow = x + 95,
Answer:
The GCF is going to be 30
Step-by-step explanation:
This Is how I find the GCF of 2 numbers. I find the prime factorization first, then I find the common factors and multiply them. Here
The prime factorization of 21, 2 × 3 × 3 × 5= 90
The prime factorization of 28, 2 × 3 × 5 × 7 = 210
The common factors are, 2, 3, and 5. We multiply those to get the GCF.
2 × 3 × 5 = 30
Answer:
6:05
Step-by-step explanation:
5:20+40= 6:00
6:00+5= 6:05
Answer:
53
Step-by-step explanation:
FIrst, put the numbers in order from least to greatest:
22, 37, 41, 48, 52, 54, 65, 71,71, 81
When you croos of 4 numbers from the left and 4 from the right. 52 and 54 are the 2 numbers in the middle.
52+54=106
106/2=53
Answer:
Step-by-step explanation:
f(x,y)=10-x^2-y^2
To find derivative of z w.r.t. x is treat any other variable as a constant.
dz/dx=0-2x-0
dz/dx=-2x
Evaluating this at (7,-3) gives us dz/dx=-2(7)=-14.
Since this result is negative, it mrans as x increases z decreases.
f(x,y)=10-x^2-y^2
To find derivative of z w.r.t. y is treat any other variable as a constant.
dz/dx=0-0-2y
dz/dx=-2y
Evaluating this at (7,-3) gives us dz/dy=-2(-3)=6.
Since this result is positive it mrans as y increases z decreases.
