Answer:
To find the circumference of a circle, your equation is 2*pi*radius
C=2*3.14*2 (radius is half of diameter so 4/2=2, 2=radius)
C=12.56 ft
To find the area of a circle, your equation would be pie*r^2
A=3.14*2^2
A=3.14*4
A=12.56 sq. ft
Hope this helps ;)
Answer:
x = 20/9
Step-by-step explanation:
We want to write out all of the mixed fractions into improper fraction form. So -2 and 1/9 becomes -19/9 and -4 and 1/3 becomes -13/3. Then we get (-19/9) - (-13/3). The two minus signs together means a positive/plus sign, so we get -19/9 + 13/3. In order to add, we want the denominator to be the same. A common denominator could be 9, so -19/9 + 13(3)/3(3) = -19/9 + 39/9 = 20/9, which is our final answer
Answer:
P (factors of 12) = 5/6
Step-by-step explanation:
The possibilities are 1,2,3,4,5,6
Factors of 12 are 1,2,3,4,6,12
So out of the possibilities rolled
1,2,3,4,6 are factors of 12 (5 of the 6)
P (factors of 12) = 5/6
Answer:
Vertical angle=9.5°
Time to reach maximum height = 1.24seconds
Step-by-step explanation:
The maximum distance x is reached when rope swings to a maximum height, maximum height is gotten from the equation KE= 1/2MU^2 = MgH = MgL= Mgl(1- cos theta.
Where theta is the vertical angle, U=2m/s and L= 15m
2gl -2glcostheta=U^2
2gl U^2=2gl cos theta
But theta= Acos(1- U^2)/2gl
Acos(1-/(2×9.8×15)
Theta =9.5°
Maximum height li given by
Lsintheta
But X= UxT
T=X/UX= Lsintheta/U = 15sin9.5 /2 =1.24seconds
X = 9.
2 x 2.5 = 5
5 - 32 = 27
3 x 9 = 27
27 + 5 = 32.
Hope this helps.
