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Considering the data in the question, the focal length of the objective lens that will give a total magnification of 200x is <u>0.8cm focal length.</u>
The whole question is:
You are using a microscope with a 10x eyepiece. What focal length of the objective lens will give a total magnification of 200x? Assume a length L = 160mm.
<h3>How was the answer derived?</h3>
Given that total magnification is 200
And the Assume length is 160
Since we used a microscope with a 10x eyepiece, the magnification would be divided by 10.
=> 200 ÷ 10 = 20.
Also, the focal length is measured in centimeters or meters; we would change the millimeters of focal length to centimeters. Therefore, we have 160 ÷ 10 = 16
The formula for the focal length of the objective lens = assumed length ÷ total magnification.
=> 16 ÷ 20 = 0.8cm.
Hence, in this case, it is concluded that the correct answer is "0.8cm."
Learn more about the focal length of the objective lens here: brainly.com/question/15744335
Based on the construction, the length of the bridge deck is given by r = √(x² + y²) units.
<h3>What is a deck?</h3>
A deck is also referred to as the roadway and it can be defined as the functional area which is designed and developed to allow automobile vehicles and pedestrians to cross highways, valleys, and water bodies.
In order to determine the length of the bridge deck, we would apply Pythagorean's theorem as follows:
r² = x² + y²
<u>Where:</u>
- r is the length of the bridge deck.
- a is the adjacent side (horizontal distance).
- b is the opposite side (rise of the bridge).
Making r the subject of formula, we have:
r = √(x² + y²)
Read more on Pythagorean theorem here: brainly.com/question/16176867
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Answer:
T-Shirt Cost = £7
Hat Cost = £3
Explanation:
Important Information:
4 t-shirts and a hat costs £31.00
2 t-shirts and a hat costs £17.00.
Here we assume t-shirt be x and hat be y.
Explanation/Solution:
Based on the above information, the calculation is as follows:
4x + y = 31
2x + y = 17
Now subtract equation 2 from 1
2x = 14
x = 7
So y is
4(7) + y = 31
28 + y = 31
y = 3
Therefore we can conclude that The t-shirt cost £7 and Hat cost £3.
Answer:
x/ y = -2/ 3
Explanation:
we have:
3(x + y) = y
<em>distributing</em><em> </em><em>3</em><em> </em><em>within</em><em> </em><em>the</em><em> </em><em>parenthesis</em><em>:</em>
<em>=</em><em>></em><em> </em>3x + 3y = y
<em>taking y to the other side, changing its sign in the process</em>
=> 3x = y - 3y
=> 3x = y(1 - 3)
=> 3x = -2y
<em>you</em><em> </em><em>can</em><em> </em><em>represent</em><em> </em><em>any</em><em> </em><em>integer</em><em> </em><em>as</em><em> </em><em>a</em><em> </em><em>fraction</em><em> </em><em>by</em><em> </em><em>putting</em><em> </em><em>a</em><em> </em><em>"</em><em>1</em><em>"</em><em> </em><em>in</em><em> </em><em>the</em><em> </em><em>denominator</em>

<em>taking</em><em> </em><em>y</em><em> </em><em>to</em><em> </em><em>th</em><em>e</em><em> </em><em>denominator</em><em> </em><em>on</em><em> </em><em>the</em><em> </em><em>LHS</em><em> </em><em>and</em><em> </em><em>3</em><em> </em><em>to</em><em> </em><em>the</em><em> </em><em>denominator</em><em> </em><em>on</em><em> </em><em>the</em><em> </em><em>RHS</em>

that makes the ratio, x/y = -2/ 3
______________
Hope this helps!