All you need is the double angle identity:
So we have
Apply the identity again to the squared term:
3
If you subtract for 4 from 7 in the first expression, then h is less than or equal to 3.
If you subtract 1 from 3 in the second expression then h is greater than 2.
Thus the only value of h possible is 3.
Answer:
equilateral
Step-by-step explanation:
In an equilateral triangle, all sides and angles are equal.
Answer:
Width of the rectangle = 10 feet
Length of the rectangle = 25 feet
Step-by-step explanation:
Perimeter of a rectangle = 2(length + width)
Let
Width of the rectangle = x feet
Length of the rectangle = 3x - 5 feet
Perimeter of the rectangle = 70 feet
Perimeter of a rectangle = 2(length + width)
70 = 2{x + (3x - 5)}
70 = 2{x + 3x - 5}
70 = 2(4x - 5)
70 = 8x - 10
70 + 10 = 8x
80 = 8x
Divide both sides by 8
x = 80 / 8
= 10
Width of the rectangle = 10 feet
Length of the rectangle = 3(10) - 5
= 30 - 5
= 25 feet