Answer:
Step-by-step explanation:
Given two fractional terms 
. Their common factor is a value or function that can go in both fractional terms. The terms can be written as shown.
It can be seen from the both equations that they both have as one of their factors i.e <em>1/8x is common to both fractional terms</em>. This gives the common factor for the two fractional terms as
The area of the trapezoid is 118 squre units
<h3>Area of a trapezoid</h3>
The formula for calculating the area of a trapezoid is expressed as:
- A = 0.5(a+b)h
- a = AD = √20
- b = BC = √80
- height = h = √40
Substitute into the formula
A = 0.5(√1600)*√40
A = 0.5 * 40 * √40
A = 20√40
A = 118 squre units
Hence the area of the trapezoid is 118 squre units
Larn more on area of a trapezoid here: brainly.com/question/1463152
Answer:
The width of the frame is 0.0746 meters
Step-by-step explanation:
We are told that after the frame has been attached to the solar collector, the area that is left exposed is 
. As we see in the figure, the dimensions of this area are
and 
where 
is the width of the frame.
The product of these dimensions must equal the exposed area:
Now since 
and 
we have:
we expand this and solve for x using the quadratic formula:
we get two solutions:
We take the second solution i.e , because first one gives a width larger than the dimensions of the solar collector which cannot be possible.
Thus the width of the frame is 0.0746 meters.
Answer:
$25
Step-by-step explanation:
From the above question, we are told that:
Mais bank account is overdrawn by 60$, which means her balance is -$60. She gets 85$ for her birthday and deposits it into her account.
The amount she has in her bank account is calculated as:
Her current account balance + The amount she got for her birthday
Hence:
- $60 + $85
= $25
The amount she has in her bank is $25
