Answer:
The dinner date
Step-by-step explanation:
The ordered pair is a solution of x - y = 2 and 3y - x = 8 is (x, y) = (7, 5)
<h3><u>Solution:</u></h3>
Given two equations are:
x - y = 2 and 3y - x = 8
<em><u>To find: orderes pair i.e (x, y)</u></em>
Let us consider:
x - y = 2 ------- eqn 1
3y - x = 8 --------- eqn 2
<em><u>Let us solve eqn 1 and eqn 2 to find values of "x" and "y"</u></em>
On rearranging eqn 2, we get
-x + 3y = 8 ------ eqn 3
Add eqn 1 and eqn 3
x - y = 2
-x + 3y = 8
(+) ---------------
0 + 2y = 10
2y = 10
<h3>y = 5</h3>
Therefore from eqn 1,
x - y = 2
x - 5 = 2
x = 5 + 2 = 7
<h3>x = 7</h3>
Thus the ordered pair to the given equations are (x, y) = (7, 5)
Answer: surface area = 313.2 cm²
Step-by-step explanation:
The given figure is an hexagonal pyramid. It has a hexagonal base and six triangular lateral faces. The formula for determining the surface area of the pyramid is expressed as
Surface area = 3ab + 3bs
Where
a represents the apotherm which is the distance from each side of the hexagon to the center.
b represents the base length
s represents the slant height of the hexagonal base.
From the information given,
a = 5.2 cm
b = 6 cm
s = 12.2 cm
Surface area = (3 × 5.2 × 6) + (3 × 6 × 12.2) = 93.6 + 219.6 = 313.2 cm²
The area of the smaller figure would be found by multiplying its base length by its height. The height is explicitly provided while the base length is not.
To find the base length of the smaller figure, subtract the shorter length on the bottom (3.1 inches) from the total length on top (6.1 inches).
6.1 - 3.1 = 3
3 * 3 = 9
Answer:
The area of the figure at the right is 9 square inches.
