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scZoUnD [109]
3 years ago
10

Assume that BC is tangent to circle A. Find the value of x. Round your answer to the nearest tenth

Mathematics
1 answer:
Natalija [7]3 years ago
3 0

Answer:

x ≈ 9.6

Step-by-step explanation:

Δ ABC is right with ∠ C = 90° ( angle between tangent and radius )

Using Pythagoras' identity in the right triangle

x² + 14² = 17²

x² + 196 = 289 ( subtract 196 from both sides )

x² = 93 ( take the square root of both sides )

x = \sqrt{93} ≈ 9.6 ( to the nearest tenth )

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The sum of three integers is 92. The second number is three times the first number. The third number is ten less than twice the
daser333 [38]
X+y+z=92

y=3x

z=2x-10
subsitute
x+3x+2x-10=92
6x-10=92
add 10 to both sdies
6x=102
divide by 6
x=17
subsitute

y=3x
y=3(17)
y=51

z=2x-10
z=2(17)-10
z=34-10
z=24



x=17
y=51
z=24

the numbers are 17,51,24
4 0
3 years ago
Read 2 more answers
three tanks are capable of holding 108 litres, 168 litres and 180 litres of milk. determine the capacity of the greatest vessel
SpyIntel [72]

A vessel of 7,560 liters

Step-by-step explanation:

This means finding the Least Common Multiple for;

108 168 180

We begin by finding the multiples of each number;

Multiples of 108:

108, 216, 324, 432, 540, 648, 756, 864, 972, 1080, 1188, 1296, 1404, 1512, 1620, 1728, 1836, 1944, 2052, 2160, 2268, 2376, 2484, 2592, 2700, 2808, 2916, 3024, 3132, 3240, 3348, 3456, 3564, 3672, 3780, 3888, 3996, 4104, 4212, 4320, 4428, 4536, 4644, 4752, 4860, 4968, 5076, 5184, 5292, 5400, 5508, 5616, 5724, 5832, 5940, 6048, 6156, 6264, 6372, 6480, 6588, 6696, 6804, 6912, 7020, 7128, 7236, 7344, 7452, <u>7560</u>, 7668, 7776

Multiples of 168:

168, 336, 504, 672, 840, 1008, 1176, 1344, 1512, 1680, 1848, 2016, 2184, 2352, 2520, 2688, 2856, 3024, 3192, 3360, 3528, 3696, 3864, 4032, 4200, 4368, 4536, 4704, 4872, 5040, 5208, 5376, 5544, 5712, 5880, 6048, 6216, 6384, 6552, 6720, 6888, 7056, 7224, 7392, <u>7560</u>, 7728, 7896

Multiples of 180:

180, 360, 540, 720, 900, 1080, 1260, 1440, 1620, 1800, 1980, 2160, 2340, 2520, 2700, 2880, 3060, 3240, 3420, 3600, 3780, 3960, 4140, 4320, 4500, 4680, 4860, 5040, 5220, 5400, 5580, 5760, 5940, 6120, 6300, 6480, 6660, 6840, 7020, 7200, 7380, <u>7560</u>, 7740, 7920

The Least Common Multiple for the 3 number is;

= 7560

Therefore a vessel of 7,560 liters fills each one of them an exact number of times with no remainder.

Learn More:

For more on Least Common Multiple check out;

brainly.com/question/11978021

#LearnWithBrainly

5 0
3 years ago
How can I simplify these?
Schach [20]
Well the square root of 72 is 8.485 and the square root of 45 is 6.708. hope this helps :)
5 0
3 years ago
Which table corresponds to the graph above?
Mumz [18]
There isn’t a graph shown
8 0
2 years ago
Which of the following expressions has a value of 3? Select all that apply.
babymother [125]

Answer:

the first one and the third one, negative three's don't count so don't put those in.

Step-by-step explanation:

-6 ÷ -2 = 3

4 - (-1) = 5

(-1)(-3)= 3

(-2) - 1 = -3

15 ÷ -5 = -3

4÷ 1 = 4

4 0
3 years ago
Read 2 more answers
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