Answer:
x = 2/3
Step-by-step explanation:
sin²30° + cos²30° + x.tan²60° = cot²30°
=> (1/2)² + (√3/2)² + x(√3)² = (√3)²
=> 1/4 + 3/4 + 3x = 3
=> 3x = 2
=> x = 2/3
Answer:
6.02
Step-by-step explanation:
Divide price by quantity
Answer:

Step-by-step explanation:
a reciprocal is a number that when multiplied by a given number gives 1 as product.
16 * x = 1
x = 1/16
9/10 * x = 1
x = 10/9
Answer:
The base and height of the garden are 4.60 ft and 5.60 ft.
Step-by-step explanation:
The area of the garden is, <em>A</em> = 24 ft².
The base height of the garden are:
base (<em>b</em>) = 6x - 4
height (<em>h</em>) = x + 3
Compute the value of <em>x</em> as follows:

The last equation is a quadratic equation.
Compute the roots of the quadratic equation as follows:

The value of base and height are:

Thus, the base and height of the garden are 4.60 ft and 5.60 ft.
Answer:
x = - 6
Step-by-step explanation:
Given
x + 5 = 1 ( subtract 5 from both sides )
x = - 4
Multiply both sides by 3 to clear the fraction
2x = - 12 ( divide both sides by 2 )
x = - 6