If three circular metal discs of equal thickness whose radii are 5cm, 20cm and 40cm are melted down to form one circular disc of the same thickness, find its radius.

Answers

Answer 1

Answer: 45 (cm)

Step-by-step explanation:

Since the discs have the same thickness, we will think about the areas.

Let say x the new radius:

[tex]\pi*5^2+\pi*20^2+\pi*40^2=\pi*x^2\\\Longrightarrow\ 5^2+20^2+40^2=x^2\\\\\Longrightarrow\ 2025=x^2\\\\\Longrightarrow\ x=\sqrt{2025} =45[/tex]


Related Questions

Which expression is most easily solved without the use of a calculator?

(5.6 – 2.9) × 2.2
1.2 × (8.4 – 6.4)
(8.7 – 1) × 5.4
0.9 × (7.8 – 3.9)
im timed

Answers

Answer:

1.2 x (8.4-6.4)

Step-by-step explanation:

1.2 x 2 = 2.4

Answer:

1.2 × (8.4 – 6.4)

Step-by-step explanation:

8.4 - 6.4 = 2

2 x 1.2 = 2.4

This one seems the easiest to multiplying into and subtracting than the others.

why do you multply by a power of 10 when writing a repeating decimal as a fraction

Answers

The goal is to multiply by a certain number (10, 100, 1000, etc.) so that when the original number is subtracted from the multiple, the repeating element cancels out. 10x = 2 is the result of multiplying by ten.

f(x)=3|x|
can you answer this question

Answers

(-2,6)
(-1,3)
(0,0)
(1,3)
(2,6)

What is the algebraic expression for the word phrase " the quotient of 24 and 6 less than m”

Please help

Answers

Answer:

[tex]\displaystyle \frac{24}{-6 + m}[/tex]

Step-by-step explanation:

Whichever term is called first represents the numeratour and the leftover represents the denominatour.

I am joyous to assist you at any time.

The expression is 24/ m-6

What is expression?

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between. The mathematical operators can be of addition, subtraction, multiplication, or division.

An expression in math is a sentence with a minimum of two numbers/variables and at least one math operation in it. Let us understand how to write expressions. A number is 6 more than half the other number, and the other number is x. This statement is written as x/2 + 6 in a mathematical expression. Mathematical expressions are used to solve complicated puzzles.

Given:

the quotient of 24 and 6 less than m

=24/m-6

Learn more about expression here:

https://brainly.com/question/24416748

#SPJ2

Somebody help me on A. And. B. Pleaseeee

Answers

Answer:

a. dbc = 66, ABC = 132

b. abd = 52, dbc= 52

Step-by-step explanation:

just remember that bisects means that the angles on either side of the middle line are equal. so for a, dbc = abd and ABC = 2x 66

for b, abd and dbc are equal, so both of them are just 104 divide by two

evaluate def² if d= -4, e= 5, and f= -9​

Answers

Answer:

1620

Step-by-step explanation:

Please make me brainlist

Can someone one help?

Answers

Answer:

The answer for that question is B

Find the value of xFind the value of xFind the value of x

Answers

Answer:

x = 11

Step-by-step explanation:

[tex] \frac{x + 2}{6} - \bigg( \frac{11 -x }{3} - \frac{1}{4} \bigg) = \frac{3x - 4}{12} \\ \\ \frac{2(x + 2)}{2 \times 6} - \bigg( \frac{4(11 - x) - 1 \times 3}{3 \times 4} \bigg) = \frac{3x - 4}{12} \\ \\ \frac{2x + 4}{12} - \bigg( \frac{4 4 - 4x- 3}{12} \bigg) = \frac{3x - 4}{12} \\ \\ \frac{2x + 4}{12} - \bigg( \frac{41 - 4x}{12} \bigg) = \frac{3x - 4}{12} \\ \\ \frac{2x + 4 - 41 + 4x}{ \cancel{12}} = \frac{3x - 4}{ \cancel{12}} \\ \\ 6x - 37 = 3x - 4 \\ \\ 6x - 3x = 37 - 4 \\ \\ 3x = 33 \\ \\ x = \frac{33}{3} \\ \\ \huge \red{ \boxed{ x = 11}}[/tex]

Which Expression is equal to 632?
A. 2⁴(3 x 5³ + 2²)
B. 2³(3 x 5² + 2²)
C. 2³ (3 x 5² + 2⁵)
D. 2⁴(3 x 5⁵ + 2¹⁶)

Plz help meee!

Answers

Answer:

B. 2³(3 x 5² + 2²)

Step-by-step explanation:

2³(3 x 5² + 2²)

Step 1. Simplify the exponents

8(3 x 25 + 4)

Step 2. Multiply 3 and 25

8(75 + 4)

Step 3. Add 75 and 4

8(79)

Step 4. Multiply

632

Answer:

Option B. 2³(3 x 5² + 2²) is correct

Step-by-step explanation:

2³(3 x 5² + 2²)

First of all multiply the exponents

8×(3×25+4)

Then do the multiplication of 3 and 25

8×(75+4)

Now add the following numbers in the bracket

8×(79)

And the last multiply the following numbers

8×79

632

[Hence, the expression 2³(3 x 5² + 2²) is equal to 632. ]

Look at this table:
Is this relation a function?

Answers

Answer:

Yes, because each x-value has a different y-value.

Which unit of measure provides the MOST accuracy when determining the time of a runner in the
100-meter race?
a. hour c. second
b. minute d. hundreth of a secon

Answers

Answer: hundreth of a second

Step-by-step explanation: it is most accurate unlike some of the larger units that could be used

I need to know what is the fraction, 2/5 as a decimal?

Answers

Answer:

0.4

Step-by-step explanation:

Answer:

0.4

Step-by-step explanation:

This one is very hard for me

Answers

15x + 57 ≥ 129

15x ≥ 129 - 57

15x ≥ 72

x ≥ 24/5

x 4.8

Answer:

[tex]x \geqslant 4.8[/tex]

Step-by-step explanation:

[tex]15x \: \: \: \: + \: 57 \geqslant 129 \\ or \: 15x \geqslant 129 - 57 \\ or \: x \geqslant 72 \div 15 \\ or \: x \geqslant 4.8 \\ [/tex]

What do you mean by rational numbers? Give an example of rational number.​

Answers

Any number that can be written as a fraction with integers is called a rational number.

example are:1/2,-1,0,3....

hope it help.

stay safe healthy and happy.

Sandra has 4 math tests this marking period. She recieved 90%, 87%, and 92% on the first 3. with is the minimal score she needs on her last test in order to average at least 90% in math class?

Answers

The minim she can get for a score is a 90%

Let the unknown score be x
(Sum of the scores)/(number of tests) = avg
(90+87+92+x)/4 = 90
(269+x)/4 = 90
269 + x = 90*4
269 + x = 360
x = 360-269 = 91

So Sandra needs a minimal score of 91% on her last test in order to average at least 90% in math class

I hope this helps :)

6. In the expression shown x represents a rational
number
6x
What value of x makes the expression equal to a
number greater than 6?
A.7/8 B.17/17 C.14/15 D.7/5

Answers

Answer:

d

Step-by-step explanation:

7/5 is greater than 1

sorry if this is wrong

write an equivalent expression (x+2)(x-3) by using the distributive property

Answers

Answer:

x(x-6)

Step-by-step explanation:

(x+2)(x-3)

x^2-3x+2x-6

x^2-x-6

x(x-6)

1 7/8 cups of ketchup times 3.​

Answers

Answer:

5 5/8 cups of ketchup

Step-by-step explanation:

1 7/8 x 3

15/8 x 3/1 = 45/8

45/8 = 5 5/8


(20 points) I need help please

Answers

Answer:

The perimeter is 62ft

Step-by-step explanation:

5 + (6 x 4) + (2 x 8) + 17

5 + 24 + 16 + 17

29 + 33

62

PLSSSSSSSSS HELPPPPPOPPPOP

Answers

Answer:

Step-by-step explanation:

can someone help please ?

Answers

Answer:

-22

Step-by-step explanation:

equantion: (n + 15).6= -42

n = -22

square picture has an area of 225 in^2 What is the side length of the picture

Answers

Answer:

15 in

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Geometry

Area of Square Formula: A = s²

s is the side length

Step-by-step explanation:

Step 1: Define

Identify variables

A = 225 in²

Step 2: Solve for s

Substitute in variables [Area of a Square Formula]:                                      s² = 225 in²[Equality Property] Square root both sides:                                                    s = 15 in

work out b(4½-3⅔)+1⅔​

Answers

Answer:

2 [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Change the mixed numbers to improper fractions

([tex]\frac{9}{2}[/tex] - [tex]\frac{11}{3}[/tex] ) + [tex]\frac{5}{3}[/tex] ← the LCM of 2 and 3 is 6

= [tex]\frac{9(3)}{2(3)}[/tex] - [tex]\frac{11(2)}{3(2)}[/tex] + [tex]\frac{5(2)}{3(2)}[/tex]

= [tex]\frac{27}{6}[/tex] - [tex]\frac{22}{6}[/tex] + [tex]\frac{10}{6}[/tex]

= [tex]\frac{5}{6}[/tex] + [tex]\frac{10}{6}[/tex]

= [tex]\frac{15}{6}[/tex]

= [tex]\frac{5}{2}[/tex]

= 2 [tex]\frac{1}{2}[/tex]


Find the midpoint of the segment with the following endpoints.
(4,7) and (10,3)

Answers

Answer:

The midpoint is (7,5)

Step-by-step explanation:

Mary, Peter, and Lucy were picking chestnuts. Mary picked twice as much chestnuts than Peter. Lucy picked 2 kg more than Peter. Together the three of them picked 26 kg of chestnuts. How many kilograms did each of them pick?

Answers

Answer:

Peter = 6 kg

Mary = 12 kg

Lucy = 8 kg

Step-by-step explanation:

let us take number of kg's peter took as x

then lets form an expression to find x

let us take mary's chestnuts as = 2x (twice as much as peter)

let us take Lucy's chestnuts as = 2 + x (picked 2 kg more than peter)

so

x + 2x + 2+ x = 26

4x + 2 = 26

4x = 26 - 2

4x = 24

x = 24/4

x = 6

now let us see how much each of them picked while replacing 6 by x

Peter = x

         = 6 kg

Mary = 2x

         = 2(6)

         = 12 kg

Lucy = 2+x

        = 2 + 6

        = 8 kg

now let us cross check to see the answer

6 + 12 + 8

18 + 8

= 26

CROSS-CHECKED

Peter- 6 kg
Mary- 12 kg
Lucy- 8 kg

Identify the domain of the function shown in the graph.​

Answers

Answer:

C. x is all real numbers.

Step-by-step explanation:

Since the domain is likely infinite, then the domain must be all real numbers so x is all real numbers.

6
0.5 of the students in the
class are boys. What is this
decimal as a fraction, in
lowest terms?

Answers

Answer:

[tex]{ \sf{it \: \: is \: \: \frac{1}{2} }}[/tex]

the answer is 1/2 :)

-12/3*(-8+(-4)²-6)+2
122 right?

Answers

Answer:

-6

Step-by-step explanation:

[tex] - \frac{12}{3} \times ( - 8 + ( - 4 {)}^{2} - 6) + 2[/tex]

[tex] (-4)² = 4²= 4×4 =16 [/tex]

[tex] - \frac{12}{3} \times ( - 8 +16 - 6) + 2[/tex]

[tex] -8 + 16-6= -14 + 16 = 2[/tex]

[tex] - 4( - 8 + 16 - 6) + 2[/tex]

[tex] - 4 \times 2 + 2[/tex]

[tex] - 8 + 2[/tex]

[tex] = - 6[/tex]

y(x-(9-4y)) for x=4 and y=2

Answers

Answer:

6

Step-by-step explanation:

( 2 ) ( 4 - ( 9 - 4 ( 2 )))

2 ( 4- ( 9-8 ))

2 ( 4 - ( 1 ))

2 ( 3 )

6

Answer:

6

Step-by-step explanation:

2(4-(9-4(2) )

2 ( 4- (9-8)

2(4 - 1)

2(3)

6

Simplify the expression

Answers

Answer:

Step-by-step explanation:

It might be wrong but i beieve that it is 4 to the 5th multiplied 4 to the 2nd

Answer:

[tex] {8}^{10} \times {8}^{4} \\ = {8}^{14} \\ thank \: you[/tex]

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