Answer:
Step-by-step explanation:
The central angle of the segment is 60 degrees. Line CD is the same length as the radius and there are 3 sides with the same length. The triangle so formed is equilateral and the apex angle is 60 degrees which is the central angle.
The measure of arc CD is 60 degrees.
Answer:
It will cost approximately $16.12 to varnish all the wooden planks.
Step-by-step explanation:
We are given the following in the question:
Number of rectangular planks = 12
Dimension of the rectangular wooden plank:
Length = 8 feet
Width = 3 feet
Area covered by I bottle of varnish = 125 Square feet
Cost of 1 bottle of varnish = 3.50 units
Area of 1 rectangular plot =

Total area to be covered by varnish =

Number of varnish bottles required =

Cost of varnishing =

Thus, it will cost approximately $16.12 to varnish all the wooden planks.
Answer:
x=1.5
or
x=1 1/2
Step-by-step explanation:
4x-7>-1
add 7 to both sides
4x=6
divide by 4 on both sides
x=1.5
or
x=1 1/2
To answer this item, we let x and y be the amounts (in mL) of the red and the brown dyes, respectively. The equations that would allow us to answer the question are,
x + y < 200
x ≤ 2y
The values of x and y in the inequalities are therefore 133.33 mL and 66.67 mL.
By pulling out the common factors for each pair of terms, we can rewrite the original polynomial like this:
3x(2x + 1) + 10(2x + 1)
These two terms now have a common factor of (2x + 1). Seems like we should be able to do something with that information, don't you think? In fact, we can pull out this common factor and rewrite the polynomial again: