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atroni [7]
3 years ago
13

Find the length of the following sides: DF AB EF

Mathematics
1 answer:
arsen [322]3 years ago
4 0

Answer:

DF) = 10

AB) = 5

EF) = 12.5

Step-by-step explanation:

For length AB

3^{2} +4^{2}  = AB^{2}   -> 9+16=\sqrt{25} -> 5

For length DF

We know that AD is 2.5 times smaller than DE (7.5 / 3)

Now we can use that to determine length DF

BD = 4, DF = 4*2.5 = 10

using the Pythagorean theorem, you can find EF:

DE^{2} +DF^{2} =EF^{2}

7.5^{2}+ 10^{2} =12.5

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Is this correct? formula is displayed on image:
Len [333]

Answer:

no it should bee

\tan( \alpha )  =  \frac{15}{8}

7 0
3 years ago
Read 2 more answers
Plz help I will give brainliest!
elena55 [62]

Answer:

b, 1 5/8

Step-by-step explanation:

the area is 4 15/32 square meters, and you find the area by doing length x width. the length is provided, 2 3/4. so all you have to do is divide 4 15/32 by 2 3/4 and you get 1 5/8

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3 years ago
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If 32 teams participate in a standard single elimination tournament, how many games must be played to decide a champion?
SCORPION-xisa [38]
<h3>Answer: 31 games</h3>

======================================================

Explanation:

  • 32/2 = 16 games will happen in round 1. Afterward, 16 teams are left.
  • 16/2 = 8 games will happen in round 2. Afterward, 8 teams are left.
  • 8/2 = 4 games happen in round 3.
  • 4/2 = 2 games in round 4.
  • 2/2 = 1 game as the final championship.

Count the number of times you divide by two and we have five occurrences of this. So there five rounds overall.

To get the total number of games played, we add up the quotients

16+8+4+2+1 = 31

----------------

Or as a shortcut we can simply subtract off 1 since 1+2+4+...+2^n = 2^(n+1)-1

We can write that rule as

\displaystyle \sum_{k=1}^{n}2^k = 2^{n+1}-1

which is equivalent to

\displaystyle \sum_{k=1}^{n}2^{k-1} = 2^n-1

3 0
3 years ago
If tan θ =(√3)/3, 0◦&lt; θ &lt; 360◦,
svetlana [45]
Arctan (√3 /3) = 30°. = π/6 rad

That is the value searched, in degrees and radians.

You can verifiy that tan(30°) = sin(30°) / cos(30°) = [1/2] / [√3/2] = 1/√3 = √3 / 3

 
3 0
3 years ago
Help geometry bisecting angles
dusya [7]

Since the angles are bisecting < RSU = < UST

substitution----- 4x+16=9x-9

subtract 4x from both sides----- 16=5x-9

add 9 to both sides-----25=5x

divide by 5 on both sides------ 5=x

The value of x is 5

substitute the value of x in both expressions

1st expression: 4x+16

substitute the value of x------ 4(5)+16= 20+16=36

2nd expression: 9x-9

substitute the value of x-----9(5)-9=45-9=36

< RST= <RSU+<UST

<RSU=36 degrees

<UST= 36 degrees

------------------------------------you have calculated both above-------------------------------------------

m<RST= 36 + 36=72 degrees


4 0
3 years ago
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