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svp [43]
3 years ago
15

Simplify: ? (10x = 105 - (12x – 247)​

Mathematics
1 answer:
Greeley [361]3 years ago
7 0

Answer:

x = 16

Step-by-step explanation:

10x = 105 - (12x - 247) //Distribute - sign

10x = 105 - 12x + 247 // Add 12x & combine like terms

10x + 12x = 352

22x = 352 //Divide 22

x = 352/22

x = 16

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The pentagons ABCDE and JKLMN are similar find the length x of JK
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Continuing the pattern, what do the following terms equal?
rodikova [14]

The series formed by using exponential property we get : \frac{1}{2} , \frac{1}{4} , \frac{1}{8} ,\frac{1}{16} ,\frac{1}{32} ,\frac{1}{64} ,\frac{1}{128} ,\frac{1}{256} ,\frac{1}{512} ,\frac{1}{1024} .

What is Exponential Property?

  • Properties of Exponents : It is also called power or degree.
  • It tells us how many times the base will be multiplied by itself.
  • The properties of exponents or laws of exponents are wont to solve problems involving exponents.
  • These properties also are considered as major exponents rules to be followed while solving exponents.

Using exponential property on given values we get,

2^1=1/ 2\\2^2=1/4\\2^3=1/8\\2^4= 1/16\\2^5= 1/32\\2^6 = 1/64\\2^7 = 1/128\\2^8 = 1/256\\2^9 = 1/512\\2^10 = 1/1024\ ...

Complete series using exponent property is:\frac{1}{2} , \frac{1}{4} , \frac{1}{8} ,\frac{1}{16} ,\frac{1}{32} ,\frac{1}{64} ,\frac{1}{128} ,\frac{1}{256} ,\frac{1}{512} ,\frac{1}{1024} ,

Learn more about exponential property here:

brainly.com/question/25633462

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4 0
2 years ago
Find csc x if sin x + cot x cos x =√3.
Oksi-84 [34.3K]

Answer:

The answer is (d) ⇒ cscx = √3

Step-by-step explanation:

∵ sinx + (cotx)(cosx) = √3

∵ sinx + (cosx/sinx)(cosx) = √3

∴ sinx + cos²x/sinx = √3

∵ cos²x = 1 - sin²x

∴ sinx + (1 - sin²x)/sinx = √3 ⇒ make L.C.M

∴ (sin²x + 1 - sin²x)/sinx = √3

∴ 1/sinx = √3

∵ 1/sinx = cscx

∴ cscx = √3

7 0
3 years ago
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