MATHEMATICS MIDDLE SCHOOL

My assignment says The perimeter of a rectangle is 30 cm.Find the whole-number dimensions of the rectangle with:
a) the greatest area
b) the least area
can someone explain?

Answers

Answer 1
Answer: Let side be "a" cm. So another side is (30-2a)/2=15-a
S=ab=a(15-a)=15a-a^2 - parabola
maximum when  a =  -15/-2=7.5 cm 
When a=7.5 all sides are 7.5 cm 
So it's a square. S=a*a=7.5*7.5=56.25 cm^2 - max
There is no global minimun for S.(look at the graphic)

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Cupro-nickel coins are minted by mixing copper and nichel in the ratio 4:1a) How much copper is needed to mix with 20kg of nickel?
b) How much nickel is needed to mix with 20kg of copper?

Answers

Copper:   Nickel =  4:1

a) How much copper needed for 20 kg nickel
                 C:N = 4: 1 
                 C:20 = 4:1

C/20 = 4/1       Cross Multiply
C*1 = 4*20
C = 80     

80kg Copper would be needed.

b) How much Nickel would be needed for 20 kg of Copper
                 C:N = 4: 1 
                 20:N = 4:1

20/N = 4/1       Cross Multiply
4*N = 1*20
4N = 20   Divide both sides by N.  

N = 20/4 = 5

5kg Nickel would be needed.

How can 52 over 9 be expressed as a decimal?

Answers

Answer:

52/9

=5.7

Step-by-step explanation:

We know that  

52/9

is the same as  

52÷9

We have the equation:

52 ÷ 9 = 5.7
Divide 52 by 9 which will be equal to 9.8333...

Help with Subtracting fractions plz ♡​

Answers

Answer:

7(15)/(16)

Step-by-step explanation:

8-(1)/(16)=(8)/(1)-(1)/(16)=(128)/(16)-(1)/(16)=(127)/(16)=7(15)/(16)

Hi there!

Simplfly 8:

8= 7 (16)/(16)

Now subtract:

7-0=7

16-1=15

Denominator stays the same so the answer would be 7 15/16.

Find the volume of the cone. Leave your answer in terms of л18 л
54л
27л
12л

Answers

The volume of the cone is 18π

Option A is the correct answer.

What is a cone?

It is a shape of a christmas tree where there is a base of radius r and a top point called the apex.

The volume of a cone is V = (1/3)πr²h

We have,

The formula for the volume of a cone is:

V = (1/3)πr²h

where V is the volume, r is the radius, and h is the height.

Plugging in the given values, we get:

V = (1/3) x π x 3² x 6

V = 18π

Therefore,

The volume of the cone is 18π

Learn more about cones here:

brainly.com/question/13798146

#SPJ7

Answer:

18π

Step-by-step explanation:

You have to multiply the height and the width together and then multiply by pi but since it is in terms of pi it is 18π

If an angle is acute, an angle supplementary to it is (always,sometimes, or never) acute

Answers

suplementary is adding up to 180
acute means less than 90
so angle less than 90+something=180
is this something always, sometimes never acute
so
less than 90+less than 90=less than 180

so never
Never, because it would have to be over 90° to be supplementary

alisson separates her 23 stickers into 4 equal piles.how many stickers does she have left over? A27 B 19 C 5 D 3

Answers

We need to find the remainder- the sticker left over

Divide 23 stickers into 4 piles = 23/4= 5 stickers per pile and 3 stickers left over

D. She would have 3 stickers left over
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