Answer:
a = 33
Step-by-step explanation:
IN a parallelogram consecutive angles are supplementary, thus
5a - 52 + 5a - 98 = 180, that is
10a - 150 = 180 ( add 150 to both sides )
10a = 330 ( divide both sides by 10 )
a = 33
Answer:
You are now 38 m below base camp.
Step-by-step explanation:
Consider the provided information.
You start hiking at an elevation that is 80 meters below base camp.
Now your initial location is 80 m below base camp, that can be represents as: -80
Now you increase your elevation by 42.
So you go up by 42.
In other words, you get the equation -80+42 = -38.
Since, a negative value is below the base camp, this means that you are now 38 m below base camp.
4(3x + 12) = -6(-8-2x)
12x + 48 = 48 +12x
12x + 18 = 12x + 48
0 = 0
answer is A. infinitely many solutions
<h3><u>S</u><u> </u><u>O</u><u> </u><u>L</u><u> </u><u>U</u><u> </u><u>T</u><u> </u><u>I</u><u> </u><u>O</u><u> </u><u>N</u><u> </u><u>:</u></h3>
As per the given question, it is stated that the length of a rectangle is 5 m less than twice the breadth.
Assumption : Let us assume the length as "l" and width as "b". So,
Also, we are given that the perimeter of the rectangle is 50 m. Basically, we need to apply here the formula of perimeter of rectangle which will act as a linear equation here.
- <em>l</em> denotes length
- <em>b</em> denotes breadth


Now, finding the length. According to the question,

<u>Therefore</u><u>,</u><u> </u><u>length</u><u> </u><u>and</u><u> </u><u>breadth</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>r</u><u>ectangle</u><u> </u><u>is</u><u> </u><u>1</u><u>5</u><u> </u><u>m</u><u> </u><u>and</u><u> </u><u>10</u><u> </u><u>m</u><u>.</u><u> </u>
For this case, the first thing to do is to model the rectangular sandbox as a rectangular prism.
The volume of the prism is given by:

Where,
- <em>w: width
</em>
- <em>l: length
</em>
- <em>h: height
</em>
Therefore, replacing values we have:

We observed that:

Therefore, the sandbox is not completely filled.
Answer:
the sandbox will hold
of sand
Jodi purchase is not enough sand to fill the sandbox to the top.
