Answer:
$91.67.
Step-by-step explanation:
We have been given that Mark is creating a tarp to cover his new vegetable garden outside. He needs enough nylon to cover the garden which is 10 feet by 8 feet and then he will attach rope along the edges of the nylon to stake it down with.
A. Let us find area covered by nylon by multiplying 10 by 8.


Now let us convert area of needed nylon from square feet into square yard by multiplying 80 by 0.111111.

Now let us multiply 8.88889 by 5.25 to find the cost of nylon cover of the garden.


Therefore, the cost of nylon cover will be $46.67.
B. Now let us find length of rope by finding the perimeter of the garden.



Now let us find the cost of 36 feet long rope by multiplying 36 by 1.25.


Therefore, the cost of rope will be $45.
To find the total cost to make the cover we will add cost of nylon cover and cost of rope.


Therefore, it will cost $91.67 for Mark to make the cover for vegetable garden.
Answer:
m<W = 103°
Step-by-step explanation:
First, find the value of x
m<W + m<Y = 180° (opposite angles in a cyclic quadrilateral are supplementary)
11x - 29 + 6x + 5 = 180 (substitution)
Add like terms
17x - 24 = 180
Add 24 to both sides
17x = 180 + 24
17x = 204
Divide both sides by 17
17x/17 = 204/17
x = 12
Find m<W:
m<W = 11x - 29
Plug in the value of x
m<W = 11(12) - 29 = 132 - 29
m<W = 103°
Answer:
26. length=7cm width=4cm
27. length=12cm width=5cm
28. length=12 cm width=9cm
29. length=7 cm
30. length=2cm
Answer:
x = 4
Step-by-step explanation:
The quadrilateral is a rectangle and opposite sides are congruent, hence
10 + 2x = 18 ( subtract 10 from both sides )
2x = 8 ( divide both sides by 2 )
x = 4
Step-by-step explanation:
Given equations
2x + 5y = 6 .......i)
2x = 10 - 3y...... II)
Putting 2x = 10 - 3y in equation i
10 - 3y + 5y = 6
2y = 6 - 10
2y = - 4
y = - 4 / 2
y = - 2
Now putting y = - 2 in equation ii
2x = 10 - 3 * ( - 2)
2x = 10 + 6
2x = 16
x = 16 / 2
x = 8
So x = 8 and y = - 2
Hope it will help :)❤