Answer: See below.
The sine ratio is the ratio of the opposite side over the hypotenuse in a right triangle. The hypotenuse is always the largest side of a triangle.
Therefore, the denominator will always be the largest. If the denominator is larger than the numerator, it will be a number less than one.
And it will be positive because it is an acute angle so the triangle when plotting in the unit circle would only be in the first quadrant. All values in the first quadrant are positive.
Answer: The equations have no solution because no solution graphs have the same slopes but difference y- intercepts.And by looking at the equations they both have same slope as 3 but different y-intercepts 5 and -5.
Step-by-step explanation:
y= 3x + 5
y = 3x- 5
3x + 5 = 3x -5
-3x -3x
5 ≠ 5
A = l × w. Substitute 72 into A and fill in the rest of the equation.
w = l - 1. Plug l - 1 into w
72 = l × (l - 1). Multiply l by (l - 1)
72 = l^2 - l. Subtract 72 from each side.
0 = l^2 - l - 72. Factor.
0 = (l + 8) (l - 9). Set each term equal to zero.
(l + 8) = 0. Subtract 8 from each side.
l = -8. Length cant be a negative number so let's try the other term.
(l - 9) = 0. Add 9 to each side.
l = 9. The length is 9.
Earlier we stated that the width is one less than the length, therefore, the width is 9 - 1 = 8.
The width is 8 units.
Answer:
Perimeter = 44cm
we know that square has 4 sides which are same
so perimeter means sum of all 4 sides
4 × s = 44cm
s = 11cm
Each side will be of 11cm.
Now area of square is Square of its side length.
so area = 11 × 11 = 121 cm^2
Answer:
65,81,97,113,129
Step-by-step explanation:
she has 65 water bottles and she is buying boxes of water bottles (x) that hold 16 water bottles each. She can only buy up to 5 water bottles.
f(x) = 16x + 65...where f(x) = total water bottles and x = number of boxes
x < = 5 here is ur restriction
the range is ur f(x) values which represent the total number of water bottles...keep in mind, she can only buy 5. Therefore, the numbers that can be subbing in for x are 0 thru 5.
So when subbing in 0 thru 5 for x, the results for f(x) are :
{ 65,81,97,113,129 }
