Hello,
if tan x=√3/3 then x=30°+k*180° k: integer
Answer:
how many numbers have absolute value 3? zero is your answer
how many numbers have absolute value a, if a>0? your answer is also zero
Step-by-step explanation:
Answer:
5in by 5in by 5in
Step-by-step explanation:
We are not told wat to find but we can as well find the dimension of the prism that will minimize its surface area.
Given
Volume = 125in³
Formula
V = w²h ..... 1
S = 2w²+4wh ..... 2
w is the side length of the square base
h is the height of the prism
125 = w²h
h = 125/w² ..... 3
Substitute eqn 3 into 2 as shown
S = 2w²+4wh
S = 2w²+4w(125/w²)
S = 2w²+500/w
To minimize the surface area, dS/dw = 0
dS/dw =4w-500/w²
0= 4w-500/w²
Multiply through by w²
0 = 4w³-500
-4w³ = -500
w³ = 500/4
w³ =125
w = cuberoot(125)
w = 5in
Get the height
125 =w²h
125 = 25h
h = 125/25
h = 5in
Hence the dimension of the prism is 5in by 5in by 5in
Answer is given below
Step-by-step explanation:
given data
average length of all 1015 fishes = 98.06 mm
randomly selects 50 fishes average length = 101.04 mm
solution
- When we get here, we mean to measure, so here we measure a fish in a square lake.
- And the variable means that a fish varies from fish to fish, so the length of the fish in the squares
- parameter mean that all individuals in the population so the parameter is average length of all 1015 fish in square lake
- statics is selct of individual in sample so statistic is average length of random sected so fish in square lake
X^2-3x = x(x-3)
x^2-9 = x^2 - 3^2 = (x-3)(x+3)
HCF = x-3
