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disa [49]
4 years ago
12

Analyze the diagram below and complete the instructions that follow.

Mathematics
1 answer:
docker41 [41]4 years ago
5 0

Answer:

x = 8 sqrt(2)

Step-by-step explanation:

Since this is a right triangle

sin 45 = opp side/ hypotenuse

sin 45 = 8/x

Multiply each side by x

x sin 45 = 8/x *x

x sin 45 = 8

Divide each side by sin 45

x sin 45 /sin 45 = 8 /sin 45

x = 8 / sin 45

We know sin 45 = 1/ sqrt (2)

x = 8 / 1 / sqrt(2)

x = 8 sqrt(2)

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Susan, Chang, and Henry sent a total of 127 text messages over their cell phones during the weekend. Chang sent 3 times as many
Ymorist [56]

Answer:

c = 72, h = 24, s = 31

Step-by-step explanation:

You can derive the following equations from the text:

s+c+h=127

c=3h

h=s-7

Solving them yields above answer.

4 0
3 years ago
3x + 3y =-18 and y=2x solve by substitution, show work.
Ber [7]

Answer:

x=-2

Step-by-step explanation:

3x+3*2x=-18

3x+6x=-18

9x=-18

x=-2

4 0
2 years ago
Find the domain of the function :<br><br> Can you show the steps
Xelga [282]
A rational function must not have a denominator of 0, since that means the divisor is a 0 and there's no number whatsoever you can multiply it with 0 to get the dividend, the short version of all that is, the fraction is "undefined".

a domain for a rational is any values of "x" that are safe, namely will not make the denominator undefined, there are a few other constraints, but this is the only one in this case.

so, what values "x" cannot take on safely?  well, we can find out what makes the denominator to 0, by simply, yeap, you guessed it, zeroing it out, let's do so,

 \bf 5x+2=0\implies 5x=-2\implies x=-\cfrac{2}{5}

so, if ever "x" becomes -2/5, our handy dandy fraction will go poof.

so the domain is all real numbers for "x", EXCEPT -2/5, or in Set Builder notation, {x | x ∈ ℝ; x ≠ -⅖}
5 0
3 years ago
Pythagorean triplets of 26​
Black_prince [1.1K]

Answer:

10,24,26

Answer step by step:

  • Phytagorean Theorem

The Pythagorean Theorem is a useful tool that shows how the sum of the areas of three intersecting squares can determine the side lengths of a right triangle.

  • Phytagorean Formula

\large{ \boxed{c =  \sqrt{ {a}^{2} +  {b}^{2}  }} }

With:

c = hypotenusa

a = upright side

b = pedestal side

Keep in mind that the Pythagorean formula only applies to right-angled triangles

  • Continue to discussion

26 =  \sqrt{ {10}^{2} +  {24}^{2}  }

26 =  \sqrt{(10 \times 10) + (24 \times 24)}

26 =  \sqrt{100 + 576}

26 =  \sqrt{676}

26 =  \sqrt{26 \times 26}

26 =  \sqrt{ {26}^{2} }

26 = 26

conclusion that prove that 10,24,26 is a Pythagorean triple.

  • Learn More About Phytagorean Theorm

How do I figure the pythegeroen theorm(brainly.com/question/12919358)

#IHopeThisHelp

8 0
2 years ago
What is the area of the triangle
Lemur [1.5K]

Answer:

16

Step-by-step explanation:

area of a triangle is <u>height x </u><u>base</u>

2

<u>4•8</u> = <u>3</u><u>2</u> = 16

2 2

6 0
3 years ago
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