Answer:
perimeter = 20.9 units
Step-by-step explanation:
perimeter
perimeter = distance around two dimensional shape
= addition of all sides lengths
<h2>perimeter of the figure</h2><h2>= AB+BC+CD+AD</h2>
distance formula:
<h3>1) distance of AB</h3>
A(-3,0) B(2,4)
x1 = -3 x2 = 2
y1 = 0 y2 = 4
(substitute the values into the distance formula)
AB = 6.4 units
<h3>2) distance of BC</h3>
B(2,4) C(3,1)
x1 = 2 x2 = 3
y1 = 4 y2 = 1
BC = 3.2 units
<h3>3) distance of CD</h3>
C(3,1) D(-4,-3)
x1 = 3 x2 = -4
y1 = 1 y2 = -3
CD = 8.1 units
<h3>4) distance of AD</h3>
A(-3,0) D(-4,-3)
x1 = -3 x2 = -4
y1 = 0 y2 = -3
AD = 3.2 units
<h2>perimeter of figure</h2>
= AB+BC+CD+AD
= 6.4 + 3.2 + 8.1 + 3.2
= 20.9 units
The volume of the cube would be 193.8. Solution
Volume = L x W x H
Volume = 19 x 1.7 x 6
Volume = 193.8
700 cal out of the 2000
2000*.35
Answer:
Is it any of the rational numbers? There are an infinite number of rational numbers. Rational numbers are any numbers that can be written as a fraction. All the integers between those two points (-2, -1, 0, etc.) are all rational. Any of the numbers between the points would be too. 1/2, 1/3, 2 1/3, etc.
Step-by-step explanation:
Answer:
The pieces are 55 inches, 55 inches and 46 inches long
Step-by-step explanation:
A 13ft board is to be cut into three pieces consisting of two equal length ones. The third one is 9in shorter than each of the other two.
Let us first convert the length of the board to inches:
1 ft = 12 inches
13 ft = 12 * 13 = 156 inches
Let the length of each of the other two pieces be x.
Therefore, the length of the third piece is (x - 9)
Therefore, the sum of the lengths of the three pieces is equal to 156 inches. This means that:
x + x + (x - 9) = 156
x + x + x - 9 = 156
=> 3x = 156 + 9
3x = 165
x = 165 / 3 = 55 inches
Each of the first two pieces are 55 inches long.
The length of the third piece will be:
55 - 9 = 46 inches
The pieces are 55 inches, 55 inches and 46 inches long.
