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riadik2000 [5.3K]
3 years ago
6

The segments shown below could form a triangle.

Mathematics
1 answer:
Rina8888 [55]3 years ago
5 0

Answer:

A. True

Step-by-step explanation:

The Triangle Inequality Theorem says that the sum of any two sides must be greater than the third side. Let's see if this is true.

a + b

9 + 1 = 10>9

a + c

9 + 9 = 18>1

c + b

9 + 1 = 10>9

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An article gave the following summary information for fracture strengths (MPa) of n = 196 ceramic bars fired in a particular kil
Oliga [24]

Answer:

54.80 MPa to 55.92 MPa

Step-by-step explanation:

Sample mean fracture strength (x) = 55.36 MPa

Sample standard deviation (s) = 3.99 MPa

Sample size (n) = 196.

The upper and lower bounds for a 95% confidence interval are given by:

U=x+1.960*\frac{s}{\sqrt{n}} \\L=x-1.960*\frac{s}{\sqrt{n}}

The upper and lower bounds of the confidence interval are;

U=55.36+1.960*\frac{3.99}{\sqrt{196}}\\U= 55.92\\L=55.36-1.960*\frac{3.99}{\sqrt{196}}\\L= 54.80\\

The 95% confidence interval for true average fracture strength is 54.80 MPa to 55.92 MPa

4 0
4 years ago
PLEASE HELP ASAP <br> TRIGONOMETRY
otez555 [7]

Answer:

11). x = 25.8°

12). x = 67.3°

Step-by-step explanation:

11). By using sine rule in the given triangle,

   cos(x) = \frac{\text{Adjacent side}}{\text{Hypotenuse}}

   cos(x) = \frac{27}{30}

   x = \text{cos}^{-1}(\frac{9}{10} )

   x = 25.84

   x ≈ 25.8°

12). By applying tangent rule in the given triangle,

    tan(x) = \frac{\text{Opposite side}}{\text{Adjacent side}}

    tan(x) = \frac{43}{18}

    x = \text{tan}^{-1}(\frac{43}{18} )

    x = 67.29°

    x ≈ 67.3°  

5 0
3 years ago
According to astronomers what is a light year
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A unit of astronomical distance equivalent to the distance that light travels in one year, which is 9.4607 times 1012<span> km nearly 6 trillion miles.</span>
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Help 9 and 10 please help me until Friday
Inessa [10]

5-1 x 20=56/56 x 90/56  54/67=67




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4 years ago
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Solve the formula v+f−e=2 for e
Bess [88]
Add e to both sides and subtract 2 from both sides :: v+f-2=e
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