If you know that 
, then you know right away
###
Otherwise, you can derive the same result. Let 
, so that 
. 
is bounded, so we know 
. For these values of 
, we always have 
.
So, recalling the Pythagorean theorem, we find
Then
as expected.
Answer:
The answer is below.
Step-by-step explanation:
Answer:
ans: coefficient of 3rd term is 60
3rd term is 60x
Step-by-step explanation:
(5x +2)³ = C(3,2) × (5x)^(3-2) × 2²
= 3 × 5 × 4 × x
= 60x
Answer:
Surface area of square pyramid shown in picture:
A = area of 4 triangles + area of square
= 4 x 4 x 3 x (1/2) + 3 x 3
= 33 (ft)
=> Option 4 (last one) is correct
Hope this helps!
:)
Answer:
The hypotenuse is 68
Step-by-step explanation:
To find the length of the hypotenuse of a a right angled triangle, we use the Pythagoras Theorem
c² = a² + b²
where c = hypotenuse, a = height, 32 and b = width, 60
Substitute the value 32 and 60 for a and b respectively in the above formula, and we will have
c² = 32² + 60²
c² = 1024 + 3600
c² = 4624
c = √4624
c = 68
