First u must make this mixed fraction to a fraction by multiplying 8 with 40 which equals to 320 then u add 320 with 21 which equals to 341:
341/40, well now this is an improper fraction. So now u will divide 341 by 40 and whatever u get is ur answer.
341÷40=8.525.
HOPE THIS HELPS AND IS NOT CONFUSING!!!!!! IF IT IS THEN COMMENT BELOW AND I WILL EXPLAIN EASIER.
Answer:
6 ft
Step-by-step explanation:
Let the width = w
Then the length = 4w - 3
perimeter = 2(length + width)
perimeter = 2(4w - 3 + w)
perimeter = 2(5w - 3)
perimeter = 10w - 6 = 54
10w - 6 = 54
10w = 60
w = 6
Answer: The width is 6 ft
Answer: The system forms the same line.
Step-by-step explanation:
3x - y = -2
-y = -3x - 2 (subtract 3x from both sides)
y = 3x + 2 (divide both sides by -1)
First equation: y = 3x +2
Second equation: y = 3x +2
THEY ARE THE SAME LINE —> there are infinitely many solutions.
Answer:
The answer is B: 624 sq. in
Step-by-step explanation:
find the area of one hexagons
since there are 6 congruent triangles, you find the area of 1 of the triangles and multiply by 6
Area of 1 triangle:
1/2bh = 1/2 (8 in) (7 in)
=1/2 (56 sq in.)
= 28 sq in.
Area of 1 hexagon is 6 (28 sq. in) = 168 sq. in.
There are 2 hexagons in the net, so multiply by 2
Area of 2 hexagons is...
2 (168 sq. in) = 336 sq. in.
Then find the area of the rectangular sides...which will be the 6 small squares shown on the first picture
**the rectangles each have 1 side that is equal to 1 side of the hexagon and 1 side is equal to the height of the prism.
Area of 1 rectangle side
lw = (8 in) (6 in.)
= 48 sq. in.
multiply all of the 6 sides of the area
=6 (48 sq.in)
=288 sq. in
Then add the area of the 2 hexagons to the area of the 6 rectangular sides
Total area = 336 sq. in + 288 sq. in
= 624 sq. in.
