1. We are given:
The only a which squared gives you 64 is 8. The perimeter of an 8 by 8 square will be 32. Half of that is 16. Now, let's see what we can do. We can set up:
Obviously, each side length has to be 4. So, the area of this square will be
16 units².
2. Let n equal her son's age. So, her age right now will be (S = her age):
1 year ago it was:
We have 2 equations, let's substitute. We can rewrite this as:
Solve for n:
We know the value of n, which is her son's age. So, her son is
1/15 of a year old or about 24 days old.
Rewrite Vl=I0wLcos(wt+pi/2) as a function of sin wt<span> - 3433279. ... get answers with explanations.</span>
We are given a problem that can be solved using a system of linear equations. Let A, be the number of adults, and S the number of students. Since there are in total 142 people and there were two days, this means that the sum of the number of adults and the number of students must be 284, which can be written mathematically as follows:
This is our first equation. The second equation is found using the total sales of $1948. Since the ticket per adult is $8 and per student is $5, we have the following equations:
To solve this equation we will solve for A in equation (1), by subtracting S to both sides;
Now we will replace this value in equation (2):
Now we will apply the distributive property:
Addins like terms:
Subtracting 2272 to both sides;
Dividing both sides by -3:
Now we replace this value in equation (1), where we have already solved for A:
Therefore, there were sold 108 student tickets and 140 adult tickets.
If you look closely the area where 3x is congruent to the other side of the 90 degree angle with one part as 0.5x + 34
So
3x + 0.5x + 34= 90
x will be 16
So plug it in
0.5(16) + 34= 42 degrees
And
3(16)= 48 degrees
That left half of the circle is 180 degrees and since we know the angle 3x is 48 degrees we subtract it from 180 to get angle AE
180-48
132 degrees is your answer
Answer: C
Step-by-step explanation:
We know that a relation is any set of ordered pairs, but a function is when there is only one y value for x value.
So, basically, if a graph is a function, it is a relation as well.
Let’s check if this is a function.
We can use the vertical line test- if we draw a vertical line through any point on the graph and it only intersects one point, it is a function
In our case, it passes the vertical line test.
Therefore, it is both a function and a relation, which corresponds to letter C.
Hope this helps! :)
