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goblinko [34]
3 years ago
7

Please help with triangles in a pic.

Mathematics
2 answers:
GenaCL600 [577]3 years ago
8 0
The 3 angles of a triangle have to add up to 180 degrees.  Since we are given 2 of the angles, all we have to do is add them up and then subtract from 180 to get the 3rd.

112 + 41 = 153
180 - 153 = 27

Angle 2 = 27 degrees.
scoray [572]3 years ago
4 0
That triangle is supposed to equal 180° when you add the central angles. We know 2 angels, 112° & 41° and we also know that the whole triangles angles, when added should equal 180° (only the triangle in which we are figuring out 2.) 

112 + 41 = 153
180 - 153 = angle 2
180 - 153 = 27
angles 2 = 27°

Check:
27 + 112 + 41
139 + 41 
180
Correct!

Angle 2 = 27°
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In a metal fabrication​ process, metal rods are produced to a specified target length of 15 feet. Suppose that the lengths are n
Leto [7]

Answer:

95% Confidence interval: (14.4537 ,15.1463)

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 15 feet

Sample mean, \bar{x} = 14.8 feet

Sample size, n = 16

Alpha, α = 0.05

Sample standard deviation, σ = 0.65 feet

Degree of freedom = n - 1 = 15

95% Confidence interval:

\bar{x} \pm t_{critical}\displaystyle\frac{s}{\sqrt{n}}  

Putting the values, we get,  

t_{critical}\text{ at degree of freedom 15 and}~\alpha_{0.05} = \pm 2.1314  

14.8 \pm 2.1314(\dfrac{0.65}{\sqrt{16}} ) \\\\= 14.8 \pm 0.3463 = (14.4537 ,15.1463)  

is the required confidence interval for the true mean length of rods.

3 0
3 years ago
Read 2 more answers
A performer expects to sell 5000 tickets for an upcoming concert. They plan to make a total of 311,000 in sales from these ticke
dybincka [34]

Answer:

62.2x=y

Step-by-step explanation:

cost/ticket (c)

5000c = 311000

c = $62.20

7 0
3 years ago
Which is the image of ABC for a 90° counterclockwise rotation about P?
timofeeve [1]
The answer is EFD because the turn is counterclockwise, around point P

- Your welcome
6 0
3 years ago
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Simplify the following​
den301095 [7]

Answer:

1) 11\sqrt{3}

2) 2\sqrt{2}

3) 20\sqrt{3}  + 15\sqrt{2}

4) 53 + 12\sqrt{10}

5) -2

6) 7\sqrt{2}  - 5\sqrt{3}

Step-by-step explanation:

1) 2\sqrt{12} + 3\sqrt{48} - \sqrt{75}

=(2 × 2\sqrt{3} )+ (3 × 4\sqrt{3}) - 5\sqrt{3}

= 4\sqrt{3} + 12\sqrt{3} - 5\sqrt{3}

= 11\sqrt{3}

2) 4\sqrt{8} -2\sqrt{98} + \sqrt{128}

= (4 × 2\sqrt{2}) - (2 × 7\sqrt{2}) + 8\sqrt{2}

= 8\sqrt{2} - 14\sqrt{2} +8\sqrt{2}

= 2\sqrt{2}

3) 5\sqrt{12\\} - 3\sqrt{18} + 4 \sqrt{72}  +2\sqrt{75}

= 5× 2\sqrt{3} - 3×3\sqrt{2} + 4×6\sqrt{2} + 2×5\sqrt{3}

= 10\sqrt{3} - 9\sqrt{2} +24\sqrt{2} +10\sqrt{3}

= 20\sqrt{3}  + 15\sqrt{2}

4) (2\sqrt{2}  + 3\sqrt{5} )^{2}

= 8 + 12\sqrt{10} + 45

= 53 + 12\sqrt{10}

5) (1+\sqrt{3} ) (1-\sqrt{3} )

= 1 - 3

= -2

6) (2\sqrt{6} -1) (\sqrt{3} -\sqrt{2}  )

= 2\sqrt{18}-2\sqrt{12}  -\sqrt{3}  +\sqrt{2}

= 2×3\sqrt{2} - 2×2\sqrt{3} - \sqrt{3} + \sqrt{2}

= 6\sqrt{2}  - 4\sqrt{3} -\sqrt{3} +\sqrt{2}

= 7\sqrt{2}  - 5\sqrt{3}

Hope the working out is clear and will help you. :)

5 0
3 years ago
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Use the quadratic model d= -3p^2+168p-315 to predict d if p equals 15.
drek231 [11]
A) i think is the correct answer


4 0
3 years ago
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