Answer:
convex
Step-by-step explanation:
its convex because it has six outer perimeters
Answer:
40 gallons of water and 140 gallons premium antifreeze
Step-by-step explanation:
Let p represent the number of gallons of premium antifreeze in the mix. Then 180-p is the number gallons of water. The amount of pure antifreeze in the mix is then ...
0.90p + 0·(180 -p) = 0.70·180
p = 0.70·180/0.90 = 140 . . . . divide by the coefficient of p
180-p = 40 . . . . . find the water content
40 gallons of water and 140 gallons of premium antifreeze are in the mix.
Answer:
55.4
Step-by-step explanation:
SOH
sin (θ°) = opposite / hypotenuse
sin (28) = 26/x
Solve for x (hypotenuse).
x = 26/(sin (28))
x = 55.38141617...
Nearest tenth.
x ≈ 55.4
There are several ways to solve systems of linear equations. The most common methods are by graphing, elimination, and substitution. Let's start off with one of the most basic methods, graphing.
---------------Graphing Method---------------
2x + y = 33x + 2y = 6
In order to solve this system using the graphing method, we first have to change the two equations into slope-intercept form.
2x + y = 3 --> y = -2x + 33x + y = 7 --> y = -3x + 7
Then, we graph these two lines. (Attached Below)The solution set of a system of linear equations when graphing is actually the point at which the two lines intersect. So by graphing the two lines, we can obviously see that the solution set of this problem is (4, -5).
---------------Elimination Method---------------
The concept of elimination revolves around the concept of adding two equations. Using an example, let's see what happens when you add equations together.
2x + y = 33x + 2y = 6-----------5x + 3y = 9
Do you see how this works? Now, let's say that the orientation of these two equations were different. What would you do then?
2x + y = 36 - 3x = 2y
If this situation occurs, you have to rearrange it in a way that the form of the equations match. For example, if you have one in standard form, you have to algebraically return the other equation to the same form.
2x + y = 36 - 3x = 2y --> 6 = 3x + 2y --> 3x + 2y = 6
Now that the equations are in the same form, we can begin to solve. However, let's start with a simpler system to demonstrate the concept.
2x - y = 53x + y = 5
The process of elimination involves adding equations in a way that one of the unknown variables disappears. In this first example, let's see what happens when we simply add them right away.
2x - y = 53x + y = 5
A triangle is 180 degrees. 180-28=152. so if angle b and c are combined, your answer is 152 degrees.