Answer:
7 - - 5 = 12
Step-by-step explanation:
Reflection over the y-axis:
(x, y) ⇒ (-x, y)
Reflection of that over the line y = x:
(-x, y) ⇒ (y, -x)
Rotation counterclockwise by 270°:
(x, y) ⇒ (y, -x) . . . . . . equivalent to reflection over y, then over y=x.
The appropriate choice is ...
C) Reflecting over the y-axis and then reflecting over the line y = x.
Step-by-step explanation:
Number of boxes that will fit =2340
Step-by-step explanation:
The shipping box volume can be calculated by the formula V = Lxwxh ,where L ,w ,h are length ,width and height of the box.
The length of the shipping box =3\frac{3}{4} =\frac{15}{4} ft.
Width = 3 ft.
Height =3\frac{1}{4} =\frac{13}{4} ft.
Volume of shipping box =\frac{15}{4} .3 .\frac{13}{4} =\frac{585}{16} = 36.6 ft.cubic ft.
Volume of shipping box can also be calculated by multiplying base area with the height of box.
Base area of box = \frac{15}{4} .3=\frac{45}{4} square ft.
Volume of box = base area x height =\frac{45}{4} .\frac{13}{4} = 36.6 cubic ft.
Volume of packing cubes =\frac{1}{4} .\frac{1}{4} .\frac{1}{4} =\frac{1}{64} cubic ft.
Number of fish boxes that will fit in the shipping box = volume of shipping box ÷ volume of fish food box = 36.6 ÷ \frac{1}{64} =2340 .
Answer:
147˚, 33˚
Step-by-step explanation:
supplementary angles means those angles add up to 180˚
so A+B = 180
substitute A and B with the values given.
(4a+7) + (a-2) = 180
combine like terms
5a + 5 = 180
5a = 175
a = 35
Now that we have a, substitute in the actual value of a into the expressions for each angle.
for <A: 4(35) + 7 = 147˚
for <B: 35 - 2 = 33˚
