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hodyreva [135]
3 years ago
9

Which best explains whether a triangle with side links 5 cm 13 cm and 12 cm is a right triangle

Mathematics
1 answer:
Genrish500 [490]3 years ago
5 0

Answer:

5^{2} + 12^{2} = 13^{2}\\25+144=169

Step-by-step explanation:

Squaring base and adjacent then adding them and finally getting the squareroot of the sum gives hypotenuse of a right angle triangle. In this case, squaring 5 and 12 then getting their square roots gives you 13, proving that it is a right angle

Here is the proof

5^{2}=25\\12^{2}=144\\13^{2}=169\\25+144=169

Therefore, the above dimensions are for a right angled triangle.

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Triangle X Y Z is shown. Angle X Z Y is a right angle. Angle Z X Y is 60 degrees and angle X Y Z is 30 degrees. The length of hy
vladimir1956 [14]

Answer:

StartFraction StartRoot 3 EndRoot Over 3 EndFraction

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

we know that

In the right triangle XYZ

cos(Y)=\frac{ZY}{XY} ---> adjacent side divided by the hypotenuse

substitute the values

cos(30\°)=\frac{ZY}{4}

Remember that

cos(30\°)=\frac{\sqrt{3}}{2}

so

substitute

\frac{\sqrt{3}}{2}=\frac{ZY}{4}

ZY=(4)\frac{\sqrt{3}}{2}

ZY=2\sqrt{3}\ units

step 2

sin(Y)=\frac{XZ}{XY} --> opposite side divided by the hypotenuse

substitute the values

sin(30\°)=\frac{XZ}{4}

Remember that

sin(30\°)=\frac{1}{2}

so

\frac{1}{2}=\frac{XZ}{4}

XZ=2\ units

step 3

tan(Y)=\frac{XZ}{ZY} --> opposite side divided by adjacent side

substitute the values

tan(Y)=\frac{2}{2\sqrt{3}}

tan(Y)=\frac{1}{\sqrt{3}}

Simplify

tan(Y)=\frac{\sqrt{3}}{3}

so

StartFraction StartRoot 3 EndRoot Over 3 EndFraction

7 0
3 years ago
Read 2 more answers
A regression of y = calcium content (g/L) on x = dissolved material (mg/cm2) was reported in the article "Use of Fly Ash or Sili
MatroZZZ [7]

Answer:

a) The slope = 0.144 , means that an increase in dissolved material by 1 mg/cm^2 will lead to an increase in Calcium content by 0.144 g/l

while the coefficient of determination = 0.869 , means that 86% of the variation ( natural ) of calcium content is explainable using the Linear model.

b) 10.878

c) S ≈ 1.99

Step-by-step explanation:

a) The slope = 0.144 , means that an increase in dissolved material by 1 mg/cm^2 will lead to an increase in Calcium content by 0.144 g/l

while the coefficient of determination = 0.869 , means that 86% of the variation ( natural ) of calcium content is explainable using the Linear model.

<u>B) Point estimate of true average calcium content </u>

Given that dissolved material = 50 mg/cm^2

= 3.678 + 0.144 * dissolved material

=  3.678 + 7.2 =  10.878

<u>C) Determine an estimate of error standard deviation </u>

Given that ; sum of squares ( SST ) = 320.398

                   COD ( r )  = 0.86

first;  calculate the value of SSE = SST - SST ( r^2 )

SSE = 320.398 - 320.398 ( 0.86) ^2

       = 83.43

Finally ; determine the estimate of error standard deviation

S^2 = SSE / n -2

      = 83.43 / 23 - 2

∴ S ≈ 1.99

6 0
3 years ago
Katy buys 4 dvds every 2 weeks. How many will she buy in 12 weeks?
Tom [10]
She buys 24 dvds in 12 weeks.
3 0
3 years ago
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Make a frequency table to organize the data
Misha Larkins [42]

Answer: to do that you would use slop x2- x1

-------- = rise/run = slope

Y2-x1

Step-by-step explanation:

5 0
2 years ago
PLEASE HELO ME!!! PLSSSS
scZoUnD [109]

Answer:

Choice A

Step-by-step explanation:

<4 and <5 are alternate interior angles.

4 0
2 years ago
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