Answer: Four eighth notes
Sixteenth Notes
Step-by-step explanation: Two quarter notes equal one half note in duration and four quarter notes equal one whole note. Two eighth notes equal one quater note in duration. Four eighth notes equal one half note in duration and eight eighth notes equal one whole note.
Answer:
2.5cm
Step-by-step explanation:
area of trapezium = 4 * area of parallelogram
1/2(a+b)*h=4* bh
1/2(5+11)*4= 4* 3.2x
8*4=4*3.2x
8/3.2=x
2.5cm=x
Let ABC be a triangle in the 3rd quadrant, right-angled at B.
So, AB-> Perpendicular BC -> Base AC -> Hypotenuse.
Given: sinθ=-3/5 cosecθ=-5/3
According to Pythagorean theorem, square of the hypotenuse is equal to the sum of square of the other two sides.
Therefore in triangle ABC, 〖AC〗^2=〖AB〗^2+〖BC〗^2 ------
--(1)
Since sinθ=Perpendicular/Hypotenuse ,
AC=5 and AB=3
Substituting these values in equation (1)
〖BC〗^2=〖AC〗^2-〖AB〗^2
〖BC〗^2=5^2-3^2
〖BC〗^2=25-9
〖BC〗^2=16
BC=4 units
Since the triangle is in the 3rd quadrant, all trigonometric ratios, except tan
and cot are negative.
So,cosθ=Base/Hypotenuse Cosθ=-4/5
secθ=Hypotnuse/Base secθ=-5/4
tanθ=Perpendicular/Base tanθ=3/4
cotθ=Base/Perpendicular cotθ=4/3
Answer: 7/12
Step-by-step explanation:
number of times it landed on A = 6
number of times it landed on B = 21
number of times it landed on C = 9
Total number = 36
The empirical probability that the spinner will land on B is given by
P(B) = number of times it landed on B / Total number , that is
p(B) = 21/36
P(B) =7/12
Note: Empirical means verifiable by observation or experience rather than theory and it was verified that it landed on B 21 times.
Answer:
1/24 chance
Step-by-step explanation:
To begin you would need to find the probability of picking a green sock which would be 3/9; and you could simplify this to 1/3.
After that you need to find the probability of picking a purple sock out of the 8 left, which would provide you with 1/8. To find the probability of both you would multiply 1/8 by 1/3 to find the combined probability which would leave you with 1/24.
