Answer:
D) x=-3, y=-7
Step-by-step explanation:
9x - 7y = 22
x + 3y= -24
9x - 7y = 22
x= -24-3y
9(-24-3y)-7y=22
x= -24-3y
-216-27y-7y=22
x= -24-3y
-34y=22+216
x= -24-3y
-34y=238
x= -24-3y
y=238/(-34)
x=-24-3y
y=-7
x=-24-3*(-7)
y=-7
x=-24+21
y=-7
x=-3
(x,y)=(-3,-7)
Answer:
915 in²
Step-by-step explanation:
The area of the rectangle :
Length = 32 inches
Width = 25 - (10+10) = 25 - 20 = 5 inches
Area of rectangle = Length * width
Area = 32 * 5 = 160 in²
Area of triangle :
Base = 25 inches
Height = (46 - 32) inches = 14 inches
Area of triangle = 1/2 * base * height
Area of triangle = 1/2 * 25 * 14 = 175 in²
Total area = (160 + 175)in² = 335 in²
Total area of cardboard :
50 inches * 25 inches = 1250 in²
Amount of cardboard not used :
(1250 - 335) in² = 915 in²
0.674 means that it 674/1000
which mean that if the model consist of 1000 squares, you have to shade 674 of the squares.
If the model consist of 500 squares, you have to shade 337 of the squares ( you get the number after dividing both 674 and 1000 with 2)
The volume of a pyramid is the one-third of the product of the area of the base and the height of the pyramid.
V = (1/3)Ah
where
A = area of base
h = height of the pyramid
The base of this pyramid is a hexagon.
The area of a regular hexagon is
A = (1/2)pa,
where
p = perimeter of the base
a = apothem
The perimeter of the hexagon is 6 * 6 ft = 36 ft.
The apothem is shown in the figure and is 5.2 ft.
Area of base: (1/2)pa = (1/2)(36 ft)(5.2 ft) = 93.6 ft^2
Volume = (1/3)Ah = (1/3)(93.6 ft^2)(8 ft)
Volume = 249.6 ft^3
Answer: 250 ft^3
its 50% percent more, 50% is ur answer
