Answer:
m
is 224°
Step-by-step explanation:
From the figure, we have;
The angle subtended at the circumference, by the arc mWXY, C = 112°
The angle subtended at the center = m
By circle theory, we have;
The angle subtended at the center = 2 × The angle subtended at the circumference
∴ m
= 2 × 112° = 224°
m
= 224°.
Answer:
The volume of the box is 
Step-by-step explanation:
we know that
The volume of the box is equal to

where
L is the length of the box in inches
W is the width of the box in inches
H is the height of the box in inches
we have

substitute in the formula




To factor this quadratic function, there are many ways that you can do this, the most common approach used to graph anything would be to make a table of values. Basically, make a chart with x coordinates on one side and y coordinates on the other side. Pick any values for your x coordinates and then find the correct y coordinate that results when you place that specific x coordinate into the function. After getting many points, plot those points on the grid and it should give you a parabola.
Another way to graph the function is to find the x intercepts, you can do this by setting the function to zero, and factoring the trinomial, using the appropriate method, then find the x intercepts
y = 2x^2 - 8x + 6
0 = (2x^2 - 6x - 2x + 6)
0 = 2x(x - 3) - 2(x - 3)
0 = (2x - 2)(x - 3).
12 1/4 - 3 3/5 =
49/4 - 18/5 =
245/20 - 72/20 =
173/20 =
8 13/20
Answer:
See below.
Step-by-step explanation:
To find the surface area, find the area of the square base and add it to the area of each triangle face. Find the area of the base by multiplying base length by base length. Find the area of each triangle face by multiplying 1/2 * b*h.
Example:
For a base which is 12 by 12. The area is 12 x 12 = 144.
For the triangle face, the area is 1/2 * 12 * 15 = 90. Since there are 4 faces, the total area is 4 * 90 = 360.
Together the surface area is 360 + 144 = 504.