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Gnesinka [82]
2 years ago
14

5.345345... can be expressed as (fraction form)

Mathematics
1 answer:
Aleksandr-060686 [28]2 years ago
8 0

Answer:

5.(345)=1,780/333

Step-by-step explanation:

5.(345)=(5,345-5)/999=5,340/999=1,780/333

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A cone without a base is made from a half-circle of radius 10 cm. Determine the volume of the cone. Explain your reasoning.
DochEvi [55]

Answer:

  125π√3/3 cm³ ≈ 226.72 cm³

Step-by-step explanation:

The length of the circular edge of the half-circle is ...

  (1/2)C = (1/2)(2πr) = πr = 10π . . . . cm

This is the circumference of the circular edge of the cone, so the radius of the cone is found from ...

  C = 2πr

  10π = 2πr . . . . fill in the numbers; next, solve for r

  r = 5 . . . . cm

The slant height of the cone is the original radius, 10 cm, so the height of the cone from base to apex is found from the Pythagorean theorem.

  (10 cm)² = h² + r²

  h = √((10 cm)² -(5 cm)²) = 5√3 cm

And the cone's volume is ...

  V = 1/3·πr²h = (1/3)π(5 cm)²(5√3 cm)

  V = 125π√3/3 cm³ ≈ 226.72 cm³

5 0
2 years ago
Lorie is using long division to find the quotient of x^3 + 6x^2 + 5 and x^2 + x -1, as shown at the bottom of this question.
meriva

Answer:

Option (B)

Step-by-step explanation:

x² + x - 1) x³ + 6x² + 0x + 5 ( x + 5

           - (<u>x³ +   x²  -  x</u>)

                      5x² + x + 5

                    -(<u>5x² + 5x - 5)</u>

                             -4x + 10

Result : x+5+\frac{-4x+10}{(x^{2}+x-1)}

By the comparing the result with the Lorie's solution,

She made a mistake in the last step in which she combined the constant incorrectly.

Therefore, Option (B) will be the answer.

7 0
2 years ago
Assume that x is a char variable has been declared and already given a value. Write an expression whose value is true if and onl
Lorico [155]

Answer:

bool b = isupper(x);

Step-by-step explanation:

I have written the expression for a char variable x.The isupper(x) will return true if the character x is upper case and false if the character x is lower case.

I have stored the returned value to a bool variable b .So the value of variable b will be true only when the x is in uppercase and false when b is lower case.

4 0
2 years ago
Yuson must complete 30 hours of community service. She does 2 hours each day. Which linear equation represents the hours Yuson h
marissa [1.9K]

Answer: 30 - 4 = 26

Step-by-step explanation:

30 - 2x = 0

so after 2 days he will have done 4 hours so 30 - 4 = 26

8 0
2 years ago
Read 2 more answers
Yuto and Lian are at train stations 1,880 kilometers apart. Yuto boards a train heading east at an average speed of 220 kilomete
ArbitrLikvidat [17]
For the answer to the question above, we'll have to use the formula for velocity which is v =<u> d
</u>                     t        and d = vt

Since the total distance is given, therefore we can get the time and it will look like this.

220t + 250t = 1880
<u>470t</u> = <u>1880
</u>470      470
the problem indicates that the train runs 250kph
Let's substitute:

d = 250(4)

the distance traveled by Lian is 1000km





<u>

</u>
5 0
2 years ago
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