X(x + 2) = 120sq units
<span>Set it equal to 0 </span>
<span>x^2 + 2x - 120 = 0 </span>
<span>factor </span>
<span>(x + 12)(x - 10) </span>
<span>For the shorter side: </span>
<span>x - 10 = 0 </span>
<span>x = 10 </span>
<span>Now that you have x, solve for the longer side which we said was represented by </span>
<span>x + 2 </span>
<span>10 + 2 = 12 </span>
<span>Proof </span>
<span>A = L x W </span>
<span>120 = 10 x 12 </span>
<span>120 = 120 </span>
<span>true </span>
<span>Our length is 12 and our width is 10</span>
Answer:
11/19
Step-by-step explanation:
Firstly, we need to know the total number of instructors. This is equal to 7+5+4+3 = 19 instructors.
The probability of selecting a science instructor is 4/19
The probability of selecting a math instructor is 7/19
The probability of selecting either a science or a maths instructor is 4/19 + 7/19 = 11/19
Answer:
62.4 square centimeters
Step-by-step explanation:
The picture of the question in the attached figure
we know that
The surface area of the triangular pyramid is equal to the area of the triangular base plus the area of its three lateral triangular faces
In this problem the triangles are equilateral, that means, the
surface area is equal to the area of four congruent equilateral triangles
so
![A=4[\frac{1}{2}(b)(h)]](https://tex.z-dn.net/?f=A%3D4%5B%5Cfrac%7B1%7D%7B2%7D%28b%29%28h%29%5D)
we have

substitute
![A=4[\frac{1}{2}(6)(5.2)]=62.4\ cm^2](https://tex.z-dn.net/?f=A%3D4%5B%5Cfrac%7B1%7D%7B2%7D%286%29%285.2%29%5D%3D62.4%5C%20cm%5E2)
The amount of waste is 22 oz
<h3>How to determine the waste amount?</h3>
The weights of the 3 rainbow trouts are:
3 Ib 5 oz, 2 Ib 12 oz, and 3 Ib 8 oz.
The total weight is:
Total = 3 Ib 5 oz + 2 Ib 12 oz + 3 Ib 8 oz
Evaluate the sum
Total = 8 Ib 25 oz
The amount she was left with is 8 Ib 2 oz
Subtract this amount from the total
Waste = 8 Ib 25 oz - 8 Ib 2 oz
Evaluate
Waste = 22 oz
Hence, the amount of waste is 22 oz
Read more about sum and difference at:
brainly.com/question/10739762
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