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Anton [14]
3 years ago
8

42 POINTS PLEASE ANSWER.....The sum of the angles in a triangle is 180 degrees.In a particular triangle the first angle is 18 de

grees less than the second angle, and the the third angle is 70 degrees. Write and solve an equation to find the measure of the first angels.​
Mathematics
2 answers:
Strike441 [17]3 years ago
5 0

Answer:

46

Step-by-step explanation:

180-70=110

now we can take a guess on the other two. What two numbers added up make 110 and are 18 apart? 46 and 64 have 4 and 6. That makes 10. So now I know that the first and second angles are 46 and 64. According to the question, the first angle is smaller. So the first angle is 46.

castortr0y [4]3 years ago
4 0

Answer:

first angle = 46 and the second angle = 64

Step-by-step explanation:

(x,x-18,70)

x+x-18+70=180

2x+52=180

2x=180-52

2x=128

x=64

(x+x-18+70) since x is 64 replace;

x=64

x-18= 64-18= 46

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I REALLY REALLY NEED HELP. I WILL MARK BRAINLIEST FOR THE BEST ANSWER!!! Question: What are the dimensions of a box with minimal
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Answer:

  40 cm × 40 cm × 40 cm

Step-by-step explanation:

Since this is in the high-school math forum, we assume that you're not intended to use calculus to determine the answer. All three dimensions are open for variation, so we'll try to use some logic to determine a reasonable solution.

The dimensions of a box are interchangeable with respect to their effect on surface area. You can see this in the area formula:

  A = 2(LW +LH +WH)

That is, no particular dimension makes more or less contribution to surface area than any other. This suggests that the minimum area will be obtained when each dimension is equal to the others. That is, <em>a cube has the minimum surface area for a given volume</em>.

The volume of a cube in terms of its edge dimension s is ...

  V = s³

So, the edge dimension is ...

  s = ∛V = ∛(64000 cm³) = 40 cm

The dimensions of the box are 40 cm × 40 cm × 40 cm.

_____

<em>Calculus method of Lagrange Multipliers</em>

We want to minimize A=2(LW +WH +LH) subject to the constraint that LWH = 64000. We can write the Lagrangian as ...

  <em>L</em> = 2(LW +WH +LH) +λ(LWH -64000)

We want to set all of the partial derivatives of <em>L</em> to zero.

  d<em>L</em>/dL = 0 = 2(W+H) +λWH

  d<em>L</em>/dW = 0 = 2(L+H) +λLH

  d<em>L</em>/dH = 0 = 2(L+W) +λLW

  d<em>L</em>/dλ = 0 = LWH -64000

Solving the first two equations for λ and setting the results equal, we have ...

  -2(W+H)/(WH) = λ = -2(L+H)/(LH)

Multiplying by H/(-2) gives ...

  1 +H/W = 1 +H/L   ⇒   W = L

Similarly, solving the 2nd and 3rd equations for λ and setting the results equal, we have ...

  -2(L+H)/(LH) = λ = -2(L+W)/(LW)

  1 +L/H = 1 +L/W   ⇒   H = W

So, now we know that L = W = H, which is the assumption we started with in our "logical" answer.

6 0
3 years ago
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ohaa [14]
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Solution: 2x^2+16x-10=0

According to formula: X=(-16+_sqrt(16^2-(-10•2)) / 2•2

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6 0
2 years ago
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Please help me with this question!!
nata0808 [166]

Answer:

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Step-by-step explanation:

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Serhud [2]

Hello there,

To write an improper fraction you will have to divide whole number by denominator than add the numerator...

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Hope I helped!!

-Char

3 0
3 years ago
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