Answer:
To solve for the problem above, let x be the regular price of the shoe.
1/2x is the one-half price of the shoe then we add 6 for the pair of socks,
1/2x + 6, then lola has 32 left so we add that too, 1/2x + 6 + 32 = 75. The total amount of lola spent is 75 - 32, which is 1/2x + 6.
2x+3=-3x+8
-2x -2x
3=x+8
-8 -8
-5=x
Do you need y too?
Answer:
b) 41.6 square inches
Step-by-step explanation:
A regular hexagon is inscribed in a circle with a diameter of 8 inches.
Step 1
We find the radius
Radius = Diameter/2
= 8 inches/2 = 4 inches
a. What is the perimeter of the hexagon?
b. What is the area of the hexagon?
An hexagon has 6 sides
The number of angles in an hexagon is calculated as:
[(Number of sides - 2) x 180]
= (6 - 2) x 180 = 720 ÷ 6 = 120°
The hexagon into 6 equilateral triangles with 4 for each of its sides.
The area of one of the triangles:
Height = 2√3
- one triangle's area = (1/2)bh = (1/2)(4)(2√3) = 4√3
The area of the hexagon by multiplying the one triangle's area by 6:
6 x 4√3 = 24√3 square inches
= 41.569219382 square inches
Approximately = 41.6 square inches
Answer:
20 yards
Step-by-step explanation:
First, we have to know how to get from inches to yards. 12 inches = 1 foot, and 3 feet = 1 yard.
Next, we have
as a given. We want to multiply this by our conversions to get the end amount in yards.
We can first multiply our expression by 12 inches = 1 foot. To do this, we can set one number as the divisor and one as the dividend, e.g. 12 inches / 1 foot. However, to figure out which number should be the numerator/denominator, we first must examine our original expression. We want to multiply it by a value that cancels something out in conversion. To do this, we can have the same unit of something in the numerator in one and the denominator in the other in terms of what we're multiplying. Here, we can see that has inches on the top, so we want inches on the bottom in 12 inches = 1 foot. Therefore, we have
=
= 60 feet
=
We have feet as the numerator, so we want feet in the denominator in what we're multiplying this by. In 3 feet = 1 yard, we can multiply this to get
= 20 yards