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nataly862011 [7]
3 years ago
14

Tangent line i think please help me find x

Mathematics
1 answer:
Alex3 years ago
6 0

Answer:

x= 6.5 cm

Step-by-step explanation:

When a tangent line touches the circle, it forms a right angle triangle at that point

Apply the Pythagorean relationship in this case

Given that the height is = 20.2 cm = b

The hypotenuse is = c= x+14.7 cm

General formulae is;

a² +b² =c²

x² + 20.2² =( x+ 14.7)²

x² + 408.04= x² +14.7x+14.7x+216.09

x² + 408.04= x² + 29.4 x +216.09.........................collect like terms

x²-x² + 408.04-216.09= 29.4x

191.95= 29.4x-------------------------------divide by 29.4 t0 get x

191.95/29.4 =x

x=6.5 cm

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Loans can come with different repayment options. Which option will always be most logical?
PtichkaEL [24]

Answer:

Best repayment option: income-driven repayment.

Step-by-step explanation:

The government offers four income-driven repayment plans: income-based repayment, income-contingent repayment, Pay As You Earn (PAYE) and Revised Pay as You Earn (REPAYE). These options are best if your income is too low to afford the standard payment.

Hope this helps:) Happy New Year!

7 0
3 years ago
Solve 5(2^x+4)=15 round to the nearest thousandth
Novosadov [1.4K]

Answer:

Step-by-step explanation:

Begin by dividing by 5

2x + 4 = 3            

Is this written as 2^(x + 4) = 3? I think it is.

Take the log of both sides

log 2^(x + 4) = log(3)

(x + 4) * log(2) = log 3

log 2 = 0.30103

log 3 = 0.47712

(x + 4) = log2 / log3

x + 4 = 0.63093               Add 4 to both sides

x = -3.369                        Rounded to the nearest thousandth

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

If you mean the question exactly as it is written (the 4 is not part of the power)

5(2^x + 4) = 15

2^x + 4 = 3

2^x = 3 - 4

2^x = - 1

This can't be done 2 to any power should be >0.

if x>0 then this will give an ever increasing number

if xK0 then this will give an ever decreasing answer but still greater than 0.

No value will make 2^x go to something minus.

If I have misread this in some way, leave a note and I will get back to you.

5 0
3 years ago
Bouncing Baby Company sells their cribs for the following amounts to stores
xz_007 [3.2K]

Answer:

Option C

Step-by-step explanation:

Since, Price of cribs (P) are proportional to the proportional to the number of cribs (N) sold,

P ∝ N

P = kN

Here 'k' is the proportionality constant

To get the value of proportionality constant,

Since, value of 10 cribs is $1320

1320 = k(10)

k = 132

Therefore, equation will be

P = 132N

Option A

If number of cribs = 6

P = 132(6) = $792

False.

Option B

For N = 22

P = 132(22) = $2904

False.

Option C

For N = 40

P = 132(40) = $5280

True

Option D

For N = 55

P = 132(55) = $7260

False

Option E

For N = 80

P = 132(80)

  = $10560

False

Option F

For N = 250

P = 132(250)

  = $33000

False

If the given options have been written correctly only one option, Option (C) is correct.

4 0
3 years ago
When does a compound inequality with OR have a solution that is the entire number line? Can the solution be bounded to one side?
dalvyx [7]

Answer:

Concept: Algebraic Analysis

  1. \geqslant   \:  \:  \:  \:  \:  \:  \:  \:  \:  \: \leqslant
  2. Those two symbols indicate one solution
  3. <  \:  \:  \:  \:  \:  \:  \:  >
  4. Those symbols indicate a range of values
  5. x < 15 < x
  6. Indicates two bounded answers
  7. In an inequality there is always a solution
6 0
2 years ago
8.7/2=q/4 what is Q and give me work plez
ZanzabumX [31]
8.7/2=q/4
multiply both sides by 4: q=8.7/2*4
multiply both sides by 2: 2q=8.7 times 4
refine the equation: 2q=34.8
multiply both sides by 10: 20q=348
Divide both sides by 20: 20q/20=348/20
refine the equation for the final answer: q=87/5
8 0
2 years ago
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