Answer:
Step-by-step explanation:
1/2, 0.67, 3 2/3, 3.7, 32, 32.3
Answer:
The probability is 1/2.
Step-by-step explanation:
There are a total of 40 girls that are surveyed and 20 prefer chocolate. If you write that as a fraction 20/40, it simplifies to 1/2.
Answer:
C
Step-by-step explanation:
Remark
The formula that relates tangents and secants using the information given is
The distance from the external point to the point of tangencyo^2 = The external point of secant to the circumfrance of the circle * the other intersect point of the secant.
The algebra is much simpler.
y^2 = 27 ( 27 + x)
Givens
y = 45
27 is the distance from the external point to the circle
27 + x is the entire length of the secant.
Solution
45^2 = 27(27 + x) Remove the brackets
2025 = 729 + 27x Subtract 729 from both sides
2025 - 729 = 27x
1296 = 27x Divide by 27
1286/27 = x
x = 48
Answer:
The first side of the rectangle = 3 ft
The other side = 8 ft
Step-by-step explanation:
Let the one side of the rectangle = k feet
So, the other side of the rectangle = 4 ( First side) -4 = (4 k -4 ) ft
Now, the area of the given same rectangle = 24 sq ft
Area of the RECTANGLE = LENGTH x WIDTH
⇒ Area = k x ( 4k - 4)
or, k ( 4k - 4) = 24
or, k(k-3) +2(k-3) = 0
or, (k-3)(k+2) = 0
or, k = 3, or k = -2
As k = Length of the rectangle, so CAN NOT BE NEGATIVE.
⇒ k ≠ -2 , ⇒ k = 3 ft
So, the first side of the rectangle = k = 3 ft
The other side = 4 k - 4 = 4 (3) - 4 = 12 - 4 = 8 ft
Answer:
The number is 13 /24
Step-by-step explanation:
Let the number = x
x - (- 11/12) = 3x - 1/6
x + 11/12 = 3x - 1/6
Collect like terms ;
x - 3x = - 1/6 - 11/12
-2x = (-2 - 11) / 12
-2x = - 13 / 12
-2x(12) = - 13
-24x = - 13
x = 13 / 24