The answer is 100.
<u>Step-by-step explanation</u>:
<u>Given</u>:
A circle is centered on the point(-1,5) and contains the point(7,11)
<u>To find</u>:
Area of a circle.
<u>Formula</u>:
(x – a)2 + (y – b)2 = r2
<u>Solution</u>:
D(A,B)=√ (xa − xb)2 + (ya − yb)2
D(A,B)=√ (7 + 1 )2 + (11− 5)2
D(A,B)=√ (8 )2 + (6)2
D(A,B)=√ 100
D(A,B)=10
Substituting in the above equation
(x + 1 )2 + (y – 5)2 = 100
Answer:
5:7
Step-by-step explanation:
There's 21 bottles total, and 15 plastic bottles.
15:21
Both 15 and 21 are divisible by 3.
15/3 = 5
21/3 = 7
5:7
Answer:
A_ 1,2,4,5,-1, or,-2
3 plus any of these will always leave you with a positive number of 1-8
B_ -1, -3, -4, -5, or 1
-2 plus any of these will leave you with a negative number of -7 through -1
C_ 1+(-1)
2+(-2)
3+(-3)
4+(-4)
5+(-5)
since all the numbers are 1-5 are both negative and positive these will cancel out and equal to zero.
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
In a right triangle, the side opposite to the 90 degree angle (here, side opposite to angle A) is known as the hypotenuse.
Also, the side that is "opposite" to the angle given (here side opposite is y to angle given 30 degrees) is the opposite side.
Since we want to find "opposite" and have "hypotenuse" , recalling trig ratios, we can say opposite/hypotenuse is the ratio SINE, so we can write:

We solve for y:

Since the answer choice has angles in radians, we recall 30 degrees is
radians.
Thus, the correct answer is
, or option A
600 ft^2
Find the area of one face by multiply 10x10 which equals 100, then multiply that by the number of faces of a cube:6
100*6=600