Answer:
Step-by-step explanation:
To find the distance, we first do B - A, where B is (-6, 7) and A is (-1, 1):
(-6, 7) - (-1, 1) = (-6+1, 7-1) = (-5, 6)
Imagine it as a triangle, where the hypotenuse is the distance, and -5 and 6 are the lengths of the sides.
To find the hypotenuse (Pythagorean Theorem): 
The answer is the square root of 61.
Answer:
11
Step-by-step explanation:
since 30÷45 = 2/3 then
The space taken by a small book is equal to
the space taken by 2/3 a large book.
…………………………………………………
<u><em>Calculating the number of large book corresponding to 23 small books</em></u> :
= 23×(2÷3) + 3
= 18.333333333333 (large book)
Then ,Kevin can pack the shelf with (at most) : 30 - 19 = 11 more large books
Answer:
(a)i. Area=72 square feet
ii. Perimeter =34 feet
(b) Baseboard - perimeter
Carpet - area
Step-by-step explanation:
The room is 9ft x 8ft, therefore it is rectangular shaped.
Length=9ft; Breadth=8ft
(a)i. Area of a Rectangle= Length X Breadth
Area of the room=8X9=72 square feet
ii. Perimeter of a Rectangle=2(Length+Breadth)
Perimeter of the room=2(8+9)=2 X 17 =34 feet
(b) A baseboard goes around the edge or boundary of the room, so it has to do with perimeter
A carpet covers the entire floor so it has to do with the area of the room.
Answer: Length = 15, Width = 12
Step-by-step explanation:
L = length
W = width
L = W+ 3
perimeter = 2L + 2W
54 = 2(W+3) + 2W
54 = 2W + 6 + 2W
54 = 4W + 6
54 - 6 = 4W
48 = 4W
W = 
W = 12
now to find the length, plug the width into the equation L = W + 3
length:
L = W+3
L=12 +3
L = 15
Answer:
71°
Step-by-step explanation:
95° + 14° = 109°
180° in a triangle
180° - 109° = 3rd angle = 71 °
