Area of square base:
13 x 13 = 169
Area of triangular sides:
B x H/2
13 x 16/2 = 104
104 x 4 = because there are 4 triangular sides of the figure = 416
416 + 169 = 585in^2
590in^2
3x + 6x + 20 = 92
9x + 20 = 92
9x = 72
x = 8
Answer:
D. 5 inches
Step-by-step explanation:
Given:
A frozen dinner is divided into 3 sections on a circular plate with a 12-inch diameter.
That means complete angle having 360° is divided into 3 section.
The central angle formed by the peach cobbler is 105 degrees.
The central angle formed by the pasta is 203 degrees.
<u>Question asked:</u>
What is the approximate length of the arc of the section containing the peas?
<u>Solution:</u>
The central angle formed by the peas = 360° - 105° - 203°
= 52°
As we know:
Therefore, the approximate length of the arc of the section containing the peas are 5 inches.
Since this is a linear function, filling in the minimum and maximum of the domain is sufficient.
f(-4) = -16 + 9 = -7
f(2)= 8 + 9 = 17
So the range of the function (given the domain) :
R = {-7, 17}
Answer:
Let us say the domain in the first case, has the numbers. And the co-domain has the students, .
Now for a relation to be a function, the input should have exactly one output, which is true in this case because each number is associated (picked up by) with only one student.
The second condition is that no element in the domain should be left without an output. This is taken care by the equal number of students and the cards. 25 cards and 25 students. And they pick exactly one card. So all the cards get picked.
Note that this function is one-one and onto in the sense that each input has different outputs and no element in the co domain is left without an image in the domain. Since this is an one-one onto function inverse should exist. If the inverse exists, then the domain and co domain can be interchanged. i.e., Students become the domain and the cards co-domain, exactly like Mario claimed. So, both are correct!
