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3 years ago

A pencil case with a cylinder shape with diameter= 10 cm

Mathematics

1 answer:

Mila [183]3 years ago

4 0

Answer:

length of the longest pencil that can fit must be less than 13cm

Step-by-step explanation:

To get the longest pencil that fit the case, we will use the pythagoras theorem;

diameter = 10cm

radius = 10/2

radius = 5cm

Height = 12cm

Get the length of the longest side

l² = r²+h²

l² = 5²+12²

l² = 25 + 144

l² = 169

l = √169

l = 13cm

Hence the length of the longest pencil that can fit must be less than 13cm

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Circumference of a circular disc is 157 cm, find its radius

Zielflug [23.3K]

Answer:

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3 years ago

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The ratio of the number of dolls Jacky had to the number of dolls Peter had was 5:2 but, after Jacky gave 15 dolls to Peter, the

sleet_krkn [62]

Answer:

70 dolls

Step-by-step explanation:

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The ratio is 5:2, which are division of a whole. They can be represented as 5x and 2x.

Jacky has 5x dolls, and Peter has 2x dolls. They were equal after subtracting 15 dolls from 5x and adding them to 2x.

Equation:

5x - 15 = 2x + 15

Solve:

5x - 15 = 2x + 15
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So Jacky has 5(10) dolls, or 50 dolls, and Peter has 2(10) or 20 dolls.

The total sum is 70 dolls.

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2 years ago

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Math help, BOTH of these please!

Feliz [49]

#1 : ( 3 , - 2 )

~~

#2 : ( - 1 , 4 )

~~

I hope that helps you out!!

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3 years ago

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Find the first, fourth, and tenth terms of the arithmetic sequence described by the given rule. A(n)=-6+(n-1)(1/5) A)-6,-5 1/5,

scoundrel [369]

Step-by-step explanation:

An arithmetic sequence is given by relation as follows :

$A(n)=-6+(n-1)\dfrac{1}{5}$

For the first term, put n = 1. So,

$A(1)=-6+(1-1)\dfrac{1}{5}\\\\A(1)=-6$

For fourth term, put n = 4. So,

$A(4)=-6+(4-1)\dfrac{1}{5}\\\\A(4)=\dfrac{-27}{5}\\\\A(4)=-5\dfrac{2}{5}$

For tenth term, put n = 10. So,

$A(10)=-6+(10-1)\dfrac{1}{5}\\\\A(10)=-6+\dfrac{9}{5}\\\\A(10)=\dfrac{-21}{5}\\\\A(10)=-4\dfrac{1}{5}$

Hence, the correct option is (C).

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3 years ago

What is the value of x in this simplified expression

arsen [322]

Answer:

Step-by-step explanation:

(-j)^-7 = 1/(-j)^x

Changing LHS as

1/(-j)^7 = 1/(-j)^x

Comparing LHS and RHS

x = 7

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3 years ago