MATHEMATICS MIDDLE SCHOOL

What is the volume of a cone that has a radius of 4 cm and a height of 9 cm?Use 3.14 to approximate pi and express your answer in hundredths.

cm3

Answers

Answer 1
Answer: volume of a cone= radius^2 (pi) height/3
4^2(pi)9/3
48(pi)
48(3.14)=150.72
answer= 150.72 cm^3
Answer 2
Answer: 150.8 cm cubed because pi times radius squared times the hieght divided by 3 equals 150.79645

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a patio is shaped like a golden rectangle. it's length ( the longer side) is 16ft. what is the patios width? write your answer in simplified radical form.

Answers

a\ golden\ rectangle:\ \ \ (a+b)/(a)= (a)/(b) \n----------------\na+b=16\ [ft]\ \ \ \ \Rightarrow \ \ \ b=16-a\n\n (16)/(a) = (a)/(16-a) \ \ \ \ \Leftrightarrow\ \ \ 16(16-a)=a^2\n\na^2+16a-256=0\n\n\ \ \ \Rightarrow\ \ \ \Delta=16^2-4\cdot(-256)=256\cdot5\ \ \ \Rightarrow\ \ \ √(\Delta) =16 √(5) \n\na_1= (-16-16 √(5) )/(2) =-8-8 √(5) <0\n\na_2= (-16+16 √(5) )/(2) =-8+8 √(5)=8( √(5) -1)>0\n\n

a=8( √(5) -1)\ \ \Rightarrow\ \ b=16-8( √(5) -1)=16-8√(5) +8=8(3- √(5) )\n\nAns.\ This\ golden\ ractangle\ has\ sides:\n.\ \ \ \ \ \ \ 8( √(5) -1)\ [ft]\ \ and\ \ 8(3- √(5) )\ [ft]

Which is the same as 98.52 ÷ 10?

Answers

moving the decimal over one space to the left. (9.852)

Explanation:
If you multiply a decimal by 10 the decimal point will move one space to the right to make a bigger number. But, if you divide by 10, it will move one space to the left to make a smaller number. (÷ means left, x means right) The The rule is, however many 0’s you have after the 1, that is how many spaces you move your decimal point. For an example if I wanted to multiply or divide a decimal by 100, I would move the decimal point 2 spaces over instead of just one because the number 100 had two 0’s after the one.This rule will not work with numbers like 20, or 150, because they are not multiples of 10 like the other numbers. Numbers that will work are 10, 100, 1000, 10000, 100000 and so on.

Sorry this is so long, I just wanted to make sure you understand because I had trouble with it when I was learning it.

I need this for tonight!! Please help, 50 points for first answer

Answers

17).                                            3x + 1 < 10

Subtract 1 from each side:      3x        <  9

Divide each side by 3 :              x        <  3


18).                               (x) (y) - 3

x = -2
y = -4                          (-2) (-4) - 3

                               =     ( 8 )    - 3

                               =            5
17.) x<3
so we started out with our equation below
3x + 1 < 10 in order to find x we have to get it alone..................so lets subtract the 1           - 1 <  - 1      from both sides
awesome it cancels out on the left hand side. and the right side of the equation is now 9. lets rewrite what our equation looks like now.
3x < 9    from here its simple we divide 3 by both sides to get x alone
/3     /3      the 3s on the left side are canceled out now. lets solve the rest:)
x < 3
your answer is x is less than 3 :)

18.)now for this equation we just need to plug in our value for x and y 
yx - 3 is our equation so what would we do if we knew what x and y were?
they give us the numbers x = -2 and y = -4 
so lets plug them in with parentheses:)
(-4)(-2) - 3
first lets multiply the -4 and -2 together 
-4 x -2 = 8!!
so in their place lets put 8
8 - 3 looks simple now. right? 
8 - 3 = 5
your answer to 18 is 5!!
hope this helps you out:)

Can someone please help me

Answers

I'm gonna guess the answer is B because you would divide 10x and 216, but that would end up at 21.6.

Plzzzzz helpppppp
Solve x + x + 2 + 2x = -2.
1
-1
0
-2

Answers

Answer:

The answer is b: -1

Step-by-step explanation:

x + x + 2 + 2x = -2

Collect like terms

x + x + 2x = -2 - 2

4x = -4

Divide both sides by 4

x = -4/4

x = -1

Answer:

as follows

Step-by-step explanation:

If each student gets 1/8 of a pizza at a
party and there are 5 pizzas, how many
students will be able to get a serving of
pizza?

Answers

Answer:

40 i believe

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

1/8 * 5

40
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