Answer:
THE LENGTH OF THE STUDENTS PAINTING=15/3=5
THE BREADTH OF THE STUDENTS PAINTING=45/3=15
AREA OF THEIR PAINTING=15×5=75
Answer:
it takes the bears 12 days to eat honey together.
Step-by-step explanation:
1/x+9+1/x+16=1/x
(solve this using cross multiplication)
= x^2 = 144
x=12
First problem:
The answer is C because theoretically it should have a 50% of landing
heads but instead it lands heads 56% of the time. Thus this is 6% higher
than 50%. It's not D because there is not specified detail of how the
person got this data so you can assume that the person did a fair
survey/data collection.
Second problem:
So in a data size of 490, 140 of them we trout. This means that 140/490 or 28.57% of the fish are trout. This means that in a sample size of 5000 fish, 5000*0.2857 or 1428.57 are trout.
Third problem:
The Science students seem to have a higher average score because the average score of Math students are:
(32+33+34+34+35+37+39+40+40)/9=36
average score of Science students are:
(41+42+43+43+46+46+47+49+49)/9=45.111
Answer:
X = 0, π/2 in the interval [0, 2pi).
Step-by-step explanation:
Use the auxiliary angle method:
R sin(x + a) = Rsin x cos a + Rcos x sin a = 1
sin x + cos x = 1
Comparing coefficients:
R cos a = 1 and R sin a = 1, so
tan a = R sin a / R cos a = 1
So a = π/4 radians.
Also R^2(sin^2 a + cos^2 a) = 1^2 + 1^2 = 2
Therefore R = √2.
So √2 sin (x +π/4 = 1
sin x + π/4 = 1/√2
x + π/4 = π/4
x = 0 radians
Also
x = 0 + π/2 = π/2.
5, 7, and 11 are prime numbers.
