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AysviL [449]
3 years ago
12

OP = ? A)3 B) 3.5 C) 4

Mathematics
2 answers:
Monica [59]3 years ago
8 0

Answer:

C. 4

Step-by-step explanation:

We have been given an image of two circles one inscribed inside the other. We are asked to find the length of segment OP.

Upon looking at our given diagram we can see that OP is the radius of smaller circle. We can also see that length of radius of circle P is 4.

Since the radii of a circle are congruent, therefore, the length of OP is 4 units and option C is the correct choice.

Aleksandr [31]3 years ago
6 0

OP = 4 because its a radius of the smaller circle which has a radius of 4 and all radii of the same circle are the same length.


C) 4

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jasenka [17]

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Step-by-step explanation:

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3 years ago
Select all the expressions that are equivalent to (2)^n+³
eimsori [14]

Answer:

The expressions which equivalent to  (2)^{n+3} are:

4(2)^{n+1}  ⇒ B

8(2)^{n} ⇒ C

Step-by-step explanation:

Let us revise some rules of exponent

  • a^{m} × a^{m}  = a^{m+n}
  • (a^{m})^{n} = a^{m*n}

Now let us find the equivalent expressions of  (2)^{n+3}

A.

∵ 4 = 2 × 2

∴ 4 =  2^{2}

∴  (4)^{n+2} =  (2^{2})^{n+2}

- By using the second rule above multiply 2 and (n + 2)

∵ 2(n + 2) = 2n + 4

∴  (4)^{n+2} =  (2)^{2n+4}  

B.

∵ 4 = 2 × 2

∴ 4 =  2²

∴  4(2)^{n+1} = 2² ×  (2)^{n+1}

- By using the first rule rule add the exponents of 2

∵ 2 + n + 1 = n + 3

∴   4(2)^{n+1} =  (2)^{n+3}

C.

∵ 8 = 2 × 2 × 2

∴ 8 =  2³

∴  8(2)^{n} = 2³ ×  (2)^{n}

- By using the first rule rule add the exponents of 2

∵ 3 + n = n + 3

∴  8(2)^{n} =  (2)^{n+3}

D.

∵ 16 = 2 × 2 × 2 × 2

∴ 16 = 2^{4}

∴  16(2)^{n} = 2^{4}  ×  (2)^{n}

- By using the first rule rule add the exponents of 2

∵ 4 + n = n + 4

∴  16(2)^{n} =  (2)^{n+4}

E.

(2)^{2n+3} is in its simplest form

The expressions which equivalent to  (2)^{n+3} are:

4(2)^{n+1}  ⇒ B

8(2)^{n} ⇒ C

3 0
3 years ago
For one month Siera calculated her home town's average high temperature in degrees Fahrenheit. She wants to convert that tempera
Lana71 [14]

We have to find how can someone convert the temperature from degrees Farhenheit to degrees Celsius using the function. The temperature in degrees Celsius is equal to the temperature in degrees Farhenheit minus 32 times 5/9. Or C ( F ) = ( F - 32 ) * 5/9. For example: the temperature is F = 50°; C ( 50 ) = ( 50 - 32 ) * 5/9 = 18 * 5/ 9 = 10 °C. Answer: The function is: C ( F ) = ( F - 32 ) * 5/9.


Hope this helped.

6 0
3 years ago
Read 2 more answers
$43.68532 rounded to the nearest dollar is?
Sedaia [141]

Note that when rounding, if the number is:

5 or greater, round up

4 or less, round down

43.68532 rounded to the nearest dollar is 44, as 6 rounds up

$44 is your answer

hope this helps

8 0
2 years ago
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