1. Suppose you have 62 toothpicks and a bunch of rubber bands.
1A) Make a simple math drawing and describe how to bundle the toothpicks to represent 62 in terms of base-ten units.
1B) Using your answer in part A, explain how to interpret the 6 in 62 in two different mathematically valid ways. Way 1:......Way 2........
Help pleas

[tex]\\ \sf\longmapsto V=\pi r^2h[/tex]

[tex]\\ \sf\longmapsto 11.25=5\pi r^2[/tex]

[tex]\\ \sf\longmapsto 2.25=\pi r^2[/tex]

[tex]\\ \sf\longmapsto r^2=2.25/3.14=0.71[/tex]

[tex]\\ \sf\longmapsto r=\sqrt{0.71}[/tex]

[tex]\\ \sf\longmapsto r=0.84in[/tex]

Answer:

Diameter is 3.00 inches

Step-by-step explanation:

» Volume of a cylindrical soup is given a formula below:

[tex]{ \tt{volume = \pi {r}^{2} h}}[/tex]

[tex]{ \tt{11.25\pi = \pi( {r}^{2} ) \times 5}}[/tex]

» Divide either sides by 5π

[tex]{ \tt{ \frac{11.25\pi}{ \green{5\pi}} = \frac{\pi {r}^{2} \times 5}{ \green{5\pi}} }} \\ \\ { \tt{2.25 = {r}^{2} }} \\ { \tt{ \sqrt{ {r}^{2} } = \sqrt{2.25} }} \\ { \tt{r = 1.5 \: in}}[/tex]

» From identical circular formulae, diameter is twice radius:

[tex] { \boxed{ \tt{ \: diameter = 2 \times radius \: }}} \\ { \tt{d = 2 \times 1.5}} \\ { \tt{d = 3 \: inches}}[/tex]

Answer:

ok so we have to see how much work each noodle machine does so

15/5=3

so each does 3 of the 15 days of work

so if we take away 2 machines then it will take 25 days

Hope This Helps!!!

The required, 3 Machines to complete the production of noodles in 25 days.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
5 machines finish the work in 15 days,
1 machine finishes the work in 15 × 5 days,
Now,
3 machines finish the work in 15 × 5 / 3 = 25 days

Thus, the required, 3 Machines complete the production of noodles in 25 days.

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ2

Answer:

no because he is STUPlD

Step-by-step explanation:

Answer: No, your friend isn't correct.

Step-by-step explanation: The circumcenter can lie outside triangle if it is obtuse or a right triangle.

Answer:

i think B option is right

Answer:

8

20

12

Step-by-step explanation:

Answer:

150.6

Step-by-step explanation:

all i did was i multiplied 5.02 by 30

Answer: y = 3.6x + 202.6 rounded to the nearest tenth.

Answer:

√28 = 2√7

√40 = 2√10

√108 = 6√3

√125 = 5√5

-6√81 = -54

√80 = 4√5

3√60 = 6√15

-√200 = -10√2

4√320 = 32√5

Step-by-step explanation:

1. The largest factor that's a square in 28 is 4, so the other factor must be 7.

2. The largest factor that's a square in 40 is 4, so the other factor must be 10.

3. The largest factor that's a square in 108 is 36, so the other factor must be 3.

4. The largest factor that's a square in 125 is 25, so the other factor must be 5.

5. The square root of 81 is 9, and 9 times -6 is -54.

6. The largest factor that's a square in 80 is 16, so the other factor must be 5.

7. 3√60 is equivalent to √540 (because 60 x 9 = 540). The largest factor that's a square in 540 is 36, so the other factor must be 15.

8. The largest factor that's a square in 200 is 100, so the other factor must be 2.

9. 4√320 is equivalent to 5120 (because 320 x 16 equal 5120). The largest factor that's a square in 5120 is 1024, so the other factor must be 5.

[tex]\large\rm\color{Yellow}Answer:[/tex]

The objective function is. Z=6x+4y

#CarryOnLearning

Answer:

-12

Step-by-step explanation:

Plug in 5 for m:

[tex]\frac{-60}{m} =\frac{-60}{5}[/tex]

Solve:

[tex]\frac{-60}{5}[/tex]

[tex]=-12[/tex]

The expression is -12

Explanation:

When you divide by 5, the possible remainders are one of these numbers {0,1,2,3,4}. So it's the set of whole numbers from 0 to one less than 5.

This means the largest value of A is A = 4.

Similarly, the largest value of B is B = 8 because the possible remainders when dividing by 9 are {0,1,2,3,4,5,6,7,8}.

Therefore, the largest possible value of A+B is 4+8 = 12.

Answer:

You would get .0045 ,The decimal point would move 4 places to the left

Answer: 350%

Step-by-step explanation:

To find percentage, we need to find an equivalent fraction with denominator 100. Multiply both numerator & denominator by 100

56

16

×

100

100

= (

56 × 100

16

) ×

1

100

=

350

100

Therefore, the answer is 350%

Answer:

D. x = 15

Step-by-step explanation:

an equation can be formed to solve this if has same sides but enlarged:

[tex]\frac{x-6}{x-6+3} = \frac{x}{x+5}[/tex]

(x-6)(x+5) = (x)(x-3)

x²+5x-6x-30=x²-3x

x² - x² -x +3x = 30

2x = 30

x = 30/2

x = 15

Answer:

The number of sides of the regular polygon is 72

Answer:

x = 12

Step-by-step explanation:

35 and 4x + 7 form a right angle , then

4x + 7 + 35 = 90 , that is

4x + 42 = 90 ( subtract 42 from both sides )

4x = 48 ( divide both sides by 4 )

x = 12

Answer:

Step-by-step explanation:

We can solve this with the help of Pythagoras theorem.

Hence, the value of x is 5 units.

Answer:

Answer: x is 5 units

Step-by-step explanation:

» From trigonometric ratios,

[tex]{ \tt{ \red{ \sin( \theta) = \frac{opposite}{hypotenuse} }}} \\ [/tex]

[tex]{ \tt{ \sin(45 \degree) = \frac{x}{ \sqrt{50} } }} \\ \\ { \tt{x = \sqrt{50} \times \frac{1}{ \sqrt{2} } }} \\ \\ { \tt{x = \sqrt{ \frac{50}{2} } }} \\ \\ { \tt{x = \sqrt{25} }} \\ { \boxed{ \tt{x = 5 \: units}}}[/tex]

Or, from pythogras theorem

[tex]{ \tt{ {a}^{2} + {b}^{2} = {c}^{2} }}[/tex]

[tex]{ \tt{ {x}^{2} + {x}^{2} = {( \sqrt{50}) }^{2} }} \\ { \tt{2 {x}^{2} = 50 }} \\ { \tt{ {x}^{2} = 25}} \\ { \tt{x = \sqrt{25} }} \\ { \boxed{ \tt{x = 5 \: units}}}[/tex]

26/36 (72.22%)

explanation:

I had no idea what a "Fair Number Cube" was so I just looked it up

Answer:

10.63015

10.63015

Step-by-step explanation:

c=a2+b2=82+72

Answer:

5:1

Step-by-step explanation:

On a die, the possible outcomes are 1,2,3,4,5,6  = 6 possible outcomes

The outcomes that are not a 6 are 1,2,3,4,5 = 5 outcomes

The outcomes that a 6 can occur is 1

The odds are the ways the event can occur with the number of ways the event cannot occur.

not rolling a 6: rolling a 6

5:1

Answer:

$7

Step-by-step explanation:

I think take it or leave it

Answer:

  $3,144

Step-by-step explanation:

Based on your tax table, the tax on an amount x over 9000 will be ...

  t(x) = 0.054(x -9000) +0.05(9000 -2000) +0.02(2000)

  = 0.054x -9000(0.054 -0.05) -2000(0.05 -0.02)

  = 0.054x -36 -60

  = 0.054x -96

Then the tax on 60,000 will be

  t(60000) = 0.054(60000) -96 = 3240 -96 = 3144

The state income tax owed on $60,000 is $3,144.

_____

Additional comment

The standard calculation can be simplified as shown above. The tax table can be reduced to ...

  [tex]t(x)=\begin{cases}0.02x,&x\le2000\\0.05x-60,&20009000\end{cases}[/tex]

Step-by-step explanation:

no calculator req

cos 60 is 0.5

so cos inverse of 0.5 os 60°

[tex]\\ \tt\hookrightarrow cos^{-1}(0.5)[/tex]

[tex]\\ \tt\hookrightarrow cos^{-1}\left(\dfrac{1}{2}\right)[/tex]

[tex]\\ \tt\hookrightarrow 60°[/tex]

Fact about cosine(cos)

[tex]\\ \tt\hookrightarrow cos\theta=\dfrac{Base}{Hypotenuse}[/tex]

Answer:

see image

Step-by-step explanation:

To make an arrow diagram, you put an oval for the input (it also may say x) and another oval for the output (it might say y or f(x)) If there are repeated numbers you don't have to write the numbers more than once. Then you show which pairs go together with an arrow that goes from the input to the output. See image.

In order to be a function, every input can only have ONE output. So inputs can repeat BUT they CANNOT have two different outputs. Different inputs MAY have the same output.

Relation P is the function. Relation Q is NOT a function.

See here

In ∆KLM

[tex]\\ \sf\longmapsto <L=180-(90+37)=180-127=53°[/tex]

Answer:

Sasha has to put 4 on the number line and 8 on ther number line count how many line there is between.

Step-by-step explanation:

Answer:

Sasha has to put 4 on the number line and 8 on ther number line count how many line there is between

Step-by-step explanation:

Answer:

You cannot simplify the equation any further. There is no way to take the root of 4 from 5x/8y.