Answer: 310.3° or 5.41 radians.
Step-by-step explanation:
The area of a circle of radius R is calculated as:
A = pi*R^2
Now, if we have a sector of an angle θ degrees, the area of that sector is:
A = (θ/360°)*pi*R^2
In this case, we know that:
R = 15yd
And the area of the sector is 609 yd^2
Then we can replace these two values in the equation to get:
609yd^2 =(θ/360°)*3.14*(15yd)^2
(609yd^2)*360°/(3.14*(15yd)^2) = θ = 310.3°
And we want the angle also in radians.
We know that:
3.14 rad = 180°
(3.14 rad/180°) = 1
Then:
310.3° = 310.3°*(3.14 rad/180°) = (310.3°/180°)*3.14 rad = 5.41 radians.
Answer:
B: {(3,1), (7,9)}
Step-by-step explanation:
For equation 2x-y=5, we can isolate y, so it's easier to solve later:
y = 2x - 5
y = (x - 4)^2
Now, notice that both equations are equal to y, so we can set them equal to each other:
(x-4)^2 = 2x-5
x^2-8x+16 = 2x - 5
x^2-10x+21=0
Now, we can factorize by finding 2 numbers that multiply to 21 and add up to -10:
(x-3)(x-7)=0
x=3 or x=7
Since B is the only one with the x values of 3 and 7, the answer must be B.
But to further check our answer, we can plug x back to any of the equations above to check for y:
(3-4)^2 = 1
(7-4)^2 = 9
Therefore, we can confirm that the answer is B.
Equation: 10x + 5y = 4
5y = -10x + 4
Divide the equation by 5,
y = -2x + 4/5
Now Compare it with, y = mx + c
Here,m = -2
In short, Your Answer would be Option D
Hope this helps!
Answer:
A. 
B. Perimeter = 190.6 yd
Step-by-step explanation:
A. Distance between P(10, 50) and R(80, 10):
(nearest tenth)
B. Distance around the park = Perimeter = PR + PQ + QR
PR = 80.6 yd
PQ = |50 - 10| = 40 yd
QR = |80 - 10| = 70 yd
Perimeter = 80.6 + 40 + 70
Perimeter = 190.6 yd
His sister is 7.895 feet tall.
