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Alex_Xolod [135]
3 years ago
14

Find the value of x.​

Mathematics
2 answers:
snow_lady [41]3 years ago
6 0

Answer:

x = 6

Step-by-step explanation:

The segment from O to the chord is a perpendicular bisector.

The triangle formed is right with legs x and 8 and hypotenuse 10

Using Pythagoras' identity in the right triangle, then

x² + 8² = 10²

x² + 64 = 100 ( subtract 64 from both sides )

x² = 36 ( take the square root of both sides )

x = \sqrt{36} = 6

Basile [38]3 years ago
4 0

Answer:

Step-by-step explanation:

diameter = 20

radius  = 10 units

Length of Chord = 16 units

The perpendicular from the center to a chord, bisect the chord.

So, base = 16/2 = 8units

Use Pythagorean theorem.

x² + 8² = 10²

x² + 64 = 100

x² = 100 -64

x² = 36

x = √36 = √6*6

x = 6 units

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Given that the time taken to get to campus is inversely proportional to driving rate, let the time be t and rate be r, thus the function will be written as:'
t=k/r
where
k is the constant of proportionality given by:
k=tr
when r=20 mph, t=1.25 hrs
thus
k=20×1.25
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thus the formula is:
t=25/r
when r=55 mph, the value of t will be:
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3 0
3 years ago
What is the proper equation <br> (-5cd^-4)(2cd^2)^2
mojhsa [17]

Answer:

-20c^3

Step-by-step explanation:

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= −20c3d4 /d4

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7 0
3 years ago
First try was incorrect
nataly862011 [7]

Answer:

So if he needs 1.5 of the lemonade mix, to find how much you need, simplu divide.

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4.5/1.5=3

He can make 3.

8 0
2 years ago
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Two planes are 2725 miles apart and are traveling toward each other one plane is traveling 110 mph faster than the other plane T
Licemer1 [7]

Answer:

therefore x  = 600 mph

therefore the speed of the other plane  y = x - 110 = 600 - 110 = 490 mph

Step-by-step explanation:

i) Two planes are 2725 miles apart and are travelling towards each other.

ii) One plane is travelling 110 mph faster than the other plane.

iii) the planes pass each other in 2.5 hours

iv) let the speed of one plane be x mph

v) let the speed of another plane be y mph

vi) therefore x  - y = 110 mph

vii) and also x + y = 2725/2.5 = 1090

viii) adding the equation in vi) to the equation in vii) we get 2x  = 1200

    therefore x  = 600 mph

ix) therefore the speed of the other plane  y = x - 110 = 600 - 110 = 490 mph

4 0
3 years ago
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