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Anna [14]
3 years ago
7

In between what two integers is the \large \sqrt{77}

Mathematics
1 answer:
noname [10]3 years ago
6 0

Answer:

8 and 9

Step-by-step explanation:

<u>Since 77 is between 64= 8² and 81= 9²</u>

  • √64 < √77 < √81
  • 8 < √77 < 9
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Simplify 7 - 2(5 - 2x) -10x + 25 -4x - 3
Kisachek [45]

Hi,

Let's simplify this equation step-by-step.

7−2(5−2x)−10x+25−4x−3

Distribute:

=7+(−2)(5)+(−2)(−2x)+−10x+25+−4x+−3

=7+−10+4x+−10x+25+−4x+−3

Combine Like Terms:

=7+−10+4x+−10x+25+−4x+−3

=(4x+−10x+−4x)+(7+−10+25+−3)

=−10x+19

Answer:

=−10x+19

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Angle ABC has point E on ray BA and point D on ray BC. Points E and D are equidistant from point B. To bisect angle ABC, which o
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The point in the angle that is equidistant from points E and D

Step-by-step explanation:

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3 0
3 years ago
(3cosx-4sinx) + (3sinx+4cosx) = 5
Ksenya-84 [330]
(3 cos x-4 sin x)+(3sin x+4 cos x)=5
(3cos x+4cos x)+(-4sin x+3 sin x)=5
7 cos x-sin x=5
7cos x=5+sin x
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49 cos²x=25+10 sinx+sin²x
49(1-sin²x)=25+10 sinx+sin²x
49-49sin²x=25+10sinx+sin²x
50 sin² x+10sinx-24=0

Sin x=[-10⁺₋√(100+4800)]/100=(-10⁺₋70)/100
We have two possible solutions:
sinx =(-10-70)/100=-0.8
x=sin⁻¹ (-0.8)=-53.13º      (360º-53.13º=306.87)

sinx=(-10+70)/100=0.6
x=sin⁻¹ 0.6=36.87º

The solutions when  0≤x≤360º are:  36.87º and 306.87º.


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3 years ago
A building that is 100 ft tall casts a shadow that makes a 30 degree angle with the ground. Approximately how long, in feet, is
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The awnser is 130 ft.
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