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:
3520 ft/min
Step-by-step explanation:
40 mi/h = (40 mi/h)×(5280 ft/mi)×(1 h)/(60 min) = 3520 ft/min
_____
Each conversion factor has a value of 1 (numerator = denominator), so changes the units without changing the speed.
the length of a leg on a 45-45-90 triangle given the hypotenuse is half the length of the hypotenuse times sqrt(2)
hypotenuse = 10
10/2 =5
so the answer should be 5sqrt(2), which I don't see as a choice
Answer:
x = 3, y = - 2
Step-by-step explanation:
By substitution method,
4x + y = 10 -------> equation 1.
7x + 2y = 17 -------> equation 2.
From equation 1,
y = 10 - 4x ------> equation 3.
Substitute equation 3 in 2,
7x + 2 ( 10 - 4x ) = 17
7x + 20 - 8x = 17
7x - 8x = 17 - 20
- x = - 3
x = 3
Substitute x = 3 in equation 1,
4 ( 3 ) + y = 10
12 + y = 10
y = 10 - 12
y = - 2
Hence,
x = 3
y = - 2
Answer:
The answer to your question is: It is not made of gold.
Step-by-step explanation:
Data
density = 19.32 g/cm³
side = 5 cm
height = 6 cm
mass = 942 g
Formula
V = 
L² = 5 x 5 = 25 cm²
V = 
V = 50 cm³
density = 942 g / 50 cm³
= 18.84 g/cm³
It is not made of gold because the density calculated is lower than the density reported in books.