Name a pair of vertical and adjacent angles in each figure. Find m<1
1 answer:
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Answer:
No, she cannot completely cover the footrest.
Step-by-step explanation:
First of all, we need to find the total surface area of the prism to be covered using the cotton cloth
the total surface area of the prism is
A = 2wl + 2lh + 2hw,
l is the length of the prism = 18 in,
w= width of the prism = 12 in,
h is the height of the prism = 10 in
hence
We need to convert the area of the fabric to be in the same unit as that of the prism
Area of cotton fabric =
since the surface area of the foot rest is more than the area of fabric she has, she cannot completely cover the footrest
Length of the side = 9 cm
Diagonal = cm
Solution:
Area of the square = 81 square centimeters
In square all sides are equal.
Area of the square = side × side
Side × side = 81
Side² = 9² (∵81 = 9²)
Taking square root on both sides, we get
Side = 9 cm
Length of the side = 9 cm
To find the length of the diagonal:
In square all the angles are right angle.
Diagonal splits the square into two right angle triangle.
Using Pythagoras theorem,
<em>In right triangle, square of the hypotenuse is equal to the sum of the square of the other two sides.</em>
Here, diagonal is the hypotenuse.
Taking square root on both side,
Diagonal = cm