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marissa [1.9K]
4 years ago
10

Which of the following could be the sides of a triangle

Mathematics
1 answer:
Setler [38]4 years ago
6 0
If the two smaller numbers equal the biggest number, it can't be a triangle. The two sides have to be bigger than the bigger side
a) 6 cm, 6 cm , 12cm              6 + 6 = 12.          N0 TRIANGLE
b) 19 cm, 27 cm, 10cm.          19 + 10 = 29        YESS TRIANGLE
c) 3cm, 7cm, 19cm                 3 + 7 = 10             N0 TRIANGLE
d) 20ft, 10ft, 5ft                       10 + 5 = 15         N0 TRIANGLE

THE ANSWER IS B


The answer of the second problem is B) 29cm since 10 + 17 = 27 and it has to be a bigger number
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Plug 50 into y and find x.

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b

Step-by-step explanation:

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A welder drops a piece of red-hot steel on the floor. The initial temperature of the steel is 2,500 degrees Fahrenheit. The ambi
sergey [27]

Answer: After 18.05 minutes, the temperature of steel becomes 100 degrees.

Step-by-step explanation:

Since we have given that

Initial temperature = 2500

At t = 0,

we get that

f(t)=Ce^{-kt}+80\\\\2500=C+80\\\\2500-80=C\\\\2420=C

After 2 minutes, the temperature of the steel is 1500 degrees.

so, it becomes,

1500=2420e^{-2k}+80\\\\1500-80=2420e^{-2k}\\\\\dfrac{1420}{2420}=e^{-2k}\\\\0.587=e^{-2k}\\\\\ln 0.587=-2k\\\\-0.533=-2k\\\\k=\dfrac{0.533}{2}\\\\k=0.266

So, We need to find the number of minutes when the temperature of steel would be 100 degrees.

So, it becomes,

100=2420e^{-0.266t}+80\\\\100-80=2420e^{-0.266t}\\\\20=2420e^{-0.266t}\\\\\dfrac{20}{2420}=e^{-0.266t}\\\\\ln \dfrac{20}{2420}=-0.266t\\\\-4.8=-0.266t\\\\t=\dfrac{4.8}{0.266}\\\\t=18.05

Hence, after 18.05 minutes, the temperature of steel becomes 100 degrees.

7 0
3 years ago
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36in^3
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How to factorised quadratics<br>in simple form thank you
photoshop1234 [79]

Answer:

ax²+ bx + c = 0

Step-by-step explanation

Multiplying (x+4) and (x−1) together (called Expanding) gets x2 + 3x − 4 :


expand vs factor quadratic


So (x+4) and (x−1) are factors of x2 + 3x − 4


Just to be sure, let us check:


(x+4)(x−1)  = x(x−1) + 4(x−1)

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Yes, (x+4) and (x−1) are definitely factors of x2 + 3x − 4




6 0
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