Answer:
the answer is in last picture
What we know:
shape is circular
Area=64π yr²
Area=πr²
circumference=2πr
In order to find circumference we need r=radius. We can use the area to find r by solving for r using substitution of the information we know above.
Area=πr²
64π=πr² substitution
64π/π=π/πr² multiplicative inverse
64=r²
√64=√r² properties of radicals
8=r We would get two solutions, a positive and negative one but we will only use the positive solution since radius is positive
Circumference=2πr
C=2π(8)=16π yards
Answers
1) 1
2) 11
3) 4
4) D) Yes, the constant of variation is 3
Explanation
Q1
The slope of a line is given by
Slope = (change in y)/(change in x)
= (0 - -2)/(-4 - -6)
= 2/2
= 1
Q2
Slope = Δy/Δx
= (8 - -3)/(2 - 1)
= 11/1
= 11
Q3
Y varies directly as X. This is written as,
Y ∞ X
Put and equal sign then introduce the constant of proportionality, K.
Y = KX
K = Y/X
K = 6/18 = 1/3
∴ Y = (1/3)X
Y = (1/3) × 12
Y = 4
Q4
32Y = 96X
Dividing both sides by 32,
Y = 96/32 X
Y = 3X
3 been the constant, Y varies directly as X.
So, the equation 32y = 96x is a direct variation.
Constant of variation = 3
Answer:
Angle 1 is 58. Angle 2 is 32.
Step-by-step explanation:
The measure of Angle ACB is 90 because C is on the circle and A and B connect to form a diameter of the circle. So, Angle 1 and Angle 2 add up to 90 (total degrees in triangle - 90). Now you can add the expressions the question gave for Angle 1 and Angle 2, and you get 7x + 6. So you have the equation 7x + 6 = 90. Solve the equation and you get x = 12. Now you can plug in that value for x into the expressions for Angles 1 and 2 to find their measures.
You just Said it it's 0,6666666666...
