a wooden toy block is in the shape of a cylinder. the toy block has a height of 4 inches and a diameter of 3 inches. how much does the toy block weigh if 1 cubic inch of wood weighs 0.55 ounces? round to the nearest tenth.

Answers

Answer 1

Answer:

Step-by-step explanation:

2x^2-10x+7         A=1, B=-10. C=7

-(-10)±√-10^2-4(1)(7)

------------------------------

2(1)

10±√100-28

----------------

2

10±√72

-----------

2

10±8.485281374

            2

10+8.485281374 =9.24

10-8.485281374 =0.76

               2

Answer 2

Weight of wood block is 15.543 ounces.

Volume of cylinder:

Given that;

Height of block = 4 inches

Diameter of block = 3 inches

1 cubic inch of wood = 0.55 ounces

Find:

Weight of wood block

Computation:

Radius of block = 3 / 2

Radius of block = 1.5 inches

Volume of toy = πr²h

Volume of toy = (3.14)(1.5)²(4)

Volume of toy = (3.14)(2.25)(4)

Volume of toy = 28.26 cubic inch

Weight of wood block = Volume of toy × 0.55 ounces

Weight of wood block = 28.26 × 0.55 ounces

Weight of wood block = 15.543 ounces

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Related Questions

The price of a visit to the dentist is \$50$50dollar sign, 50. If the dentist fills any cavities, an additional charge of \$100$100dollar sign, 100 per cavity gets added to the bill.
If the dentist finds nnn cavities, what will the cost of the visit be?
Write your answer as an expression.

Please help me, and give a clear explination please!

Answers

Answer:

50+100n

Step-by-step explanation:

Which describes the relationship between ZNOM and ZJOK in the diagram?

Answers

Answer:

the anwser is: B: Supplementary Angles

Step-by-step explanation:

so first you look at NOM and JOK and then you look at the anwsers. B is the most relevant because a supplementary angle means that the angles are 180 degrees.and they are... so yeah its b

-1 < x < 4 is an interger write the possible values

Answers

Answer:

see explanation

Step-by-step explanation:

The inequality tells us that x ≠ - 1 or ≠ 4

All integer values between these two are valid, that is possible values are

x = 0, 1, 2, 3

Use vertex form to write the equation of the parabola.

Answers

Answer:

y = - 2(x - 2)² - 3

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (2, - 3) , thus

y = a(x - 2)² - 3

To find a substitute (1, - 5) a point on the curve into the equation

- 5 = a(1 - 2)² - 3

- 5 = a - 3 ⇒ a = - 5 + 3 = - 2

y = - 2(x - 2)² - 3 ← equation in vertex form

what happens to the value of the expression c + 2 as it increases?

Answers

Answer:

The value also increases

Step-by-step explanation:

The expression also increases like when you add one, it becomes c + 3

A rectangular yard is fenced in using 319 feet of custom fence Your friends really like the fence and decide to fence in their yard using the same fence.
Their yard is similar but has a scale factor of 8/5 times the size of
yours, how much fence to the nearest foot, will they have to purchase?

A) about 321 feet
B) about 510 feet
C) about 542 feet
D) about 199 feet​

Answers

We have been given that a rectangular yard is fenced in using 319 feet of custom fence Your friends really like the fence and decide to fence in their yard using the same fence.  Their yard is similar but has a scale factor of 8/5 times the size of  yours.

We are asked to find the length of fence that your friends should purchase.

Since the size of your friend's yard is [tex]\frac{8}{5}[/tex] times your yard, so your friend should purchase [tex]\frac{8}{5}[/tex] times the 319 feet.

[tex]\text{Length of fence your friend should purchase}=\frac{8}{5}\times 319\text{ ft}[/tex]

[tex]\text{Length of fence your friend should purchase}=8\times 63.8\text{ ft}[/tex]

[tex]\text{Length of fence your friend should purchase}=510.4\text{ ft}[/tex]

Upon rounding our answer to nearest foot, we will get:

[tex]\text{Length of fence your friend should purchase}\approx 510\text{ ft}[/tex]

Therefore, your friends should purchase 510 feet of fence and option C is the correct choice.

evaluate 3^[-2]
extra points

Answers

Answer:

1/9

Step-by-step explanation:

[tex]3^{-2}[/tex] =1/3²=1/9

please help i am not sure what to do pls help ​

Answers

Answer:

The answer is #3

Step-by-step explanation:

The down payment is 5 so the chart will start at 5. It will then increase by 2.50 each time.

find the value of x​

Answers

Answer:

Step-by-step explanation:

Here we have the length of the hypotenuse (16) and that of the vertical leg (11).  The cosine function inputs this data:

            adjacent side                11

sin x = -----------------------  =  ----------------  =  0.6875

              hypotenuse                 16

We find x using the arccos function:  arccos 0.6875 = 0.81 radians or

                                                                                          46.57 degrees

workers in an office of 40 staff were asked their favourite take away. the results are summarised in the table.
PIZZA - frequency =3 angle = a
CURRY - frequency=12 angle =b
FISH AND CHIPS- frequency =7 angle =c
KABAB-frequency =3 angle = d
OTHER-frequency=15 angle = e

Answers

Answer:

Pizza: 27°

Curry: 108°

Fish and Chips: 63°

Kabab: 27°

Other: 135°

Step-by-step explanation:

Frequency 40 = 360°

Pizza (3) = [tex]\frac{3}{40}[/tex] * 360° = 27°

Curry (12) = [tex]\frac{12}{40}[/tex] * 360° = 108°

Fish and Chips (7) = [tex]\frac{7}{40}[/tex] * 360° = 63°

Kabab (3) = [tex]\frac{3}{40}[/tex] * 360° = 27°

Other (15) = [tex]\frac{15}{40}[/tex] * 360° = 135°

27 + 108 + 63 + 27 + 135 = 360

Convert to milliliters: 34 liters
A.
340 milliliters
B.
3.4 milliliters
C.
3,400 milliliters
D.
34,000 milliliters

Answers

Answer:

D, 34,000 milliliters

Step-by-step explanation:

There are 1,000 milliliters in a liter. So, if we had 1 liter, we would have 1*1,000=1,000 milliliters.

When you change the 1 liter to 34, we can just substitute 34 for 1. So, the answer is 34*1,000=34,000 milliliters, or D

the answer is

D. 34,000 milliliters

Which of the following is an equivalent representation of 5^-4 ?
A. 1/625


B. 1/9


C. 1/81


D. 1/12


Please I need help quick!!!!

Answers

Answer:

D

Step-by-step explanation:

solving systems oh linear equations by graphing, help please!!

Answers

Answer:

try searching it

it helps to know what linear is and how to graph it

ask a teacher if needed

n =⟨−2,  −1⟩ and D=[tex]\left[\begin{array}{cc}-3&0\\4&1\\\end{array}\right][/tex]

What is D⋅n?

Answers

Answer:

6

-9

Step-by-step explanation:

-3(-2) + 0(-1)

4(-2) + 1(-1)

6 + 0

-8 + -1

6

-9

*don't forget to add brackets on each side of every calculation okay :)

A square has sides of length 15. What is the length of the diagonal?
А
14/4
B
15/2
C
16/5
D
12/3

Answers

Answer:

15 sqrt(2) =c

Step-by-step explanation:

We can use the Pythagorean theorem

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

The legs are 15 and the hypotenuse is the diagonal

15^2 + 15^2 = c^2

2 * 15^2 = c^2

Take the square root of each side

sqrt(2 * 15^2 )=sqrt( c^2)

sqrt(2) sqrt(15^2) = c

15 sqrt(2) =c

Answer: 15[tex]\sqrt{2}[/tex] (b)

Step-by-step explanation:

You can separate a square into two different 45-45-90 degree triangles.

Where x = 15, and the diagonal would be the hypotenuse.

So, here you can use the Pythagorean Theorem to find the hypotenuse to use 45-45-90 triangle theorem where they hypotenuse is always x times [tex]\sqrt{2}[/tex]

So, the diagonal would be 15[tex]\sqrt{2}[/tex]

Find the similarity ratio of a prism with surface area 36 feet squared to a similar prism with surface area 225 feet squared

Answers

Answer:   6:15___{2:5}

The reduce it by dividing by 3.

6/3 =2.

15/3 =5.

= {2:5}

PLZ HELP!!! It’s timed

Answers

first one i believe, d
Answer:

D

I hope this helps!!!!!

Find the indicated root

Answers

So you have to put 25 inside the blank box.

look at the attached picture

Hope it will help you

Good luck on your assignment

Answer:

[tex] {n}^{25} [/tex]

Step-by-step explanation:

[tex] \sqrt[3]{ {n}^{75} } \\ {n}^{ \frac{75}{3} } \\ = {n}^{25} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Which of the following describes how to translate the graph y = lxl to obtain the graph of y = lx + 1l + 1?
shift 1 unit left and 1 unit down
shift 1 unit left and 1 unit up
shift 1 unit right and 1 unit down
shift 1 unit right and 1 unit up​

Answers

Answer:

Step-by-step explanation:

The " +1 " in |x + 1| corresponds with a translation of the graph of the parent function to the left.

The " +1 " at the end corresponds to a translation of the graph of the parent function 1 unit upward.

A circular plate has circumference 28.9 inches. What is the area of this plate? Use 3.14 for pi.

Answers

Answer:

66.46

Step-by-step explanation:

Answer:

Step-by-step explanation:

3.14*28.9

90.746

Which is a unit rate?

Answers

Answer:

20 gallons for 2 hours

Step-by-step explanation:

.........................................

What is the volume of the right rectangular prism?
9 mm
ווווןןם
8 mm
23 mm
46 mm
NEED ASAP

Answers

Answer:

V=whl

Step-by-step explanation:

goole hope this helps

Answer:

C) 432 mm^3

Step-by-step explanation:

length*width*height= Volume

8*6*9= 432

A rule for creating a pattern is given below. The rule begins with a number called the input and creates a number called the output.
Rule: Divide the input by 3. Then add 7 from the result to get the output.
Which input and output table works for the rule?
Choose 1 answer:

(Choice A, Checked)
A
Input Output
15 11

(Choice B)
B
Input Output
30 3

(Choice C)
C
Input Output
18. 13

Answers

Answer:

its c

Step-by-step explanation:

15/3 equals 5 plus 7 would be 12 so thats wrong

30/3 equals 10 plus 7 would be 17 so thats wrong

18/3 equals 6 plus 7 would be 13 so that right ergo the answer is c

7 ÷ ( (-3) + 4) x (-10) - (-8) + 10

Please show work!

Answers

Answer:

The answer is attached to the picture

Answer:

-4

7 ÷ ( (-3) + 4) x (-10) - (-8) + 10

     7÷1×(-10)-(-8)+10

        7÷1×-2+10

         7×-2+10

         -14+10= -4

Mr. Wallace gave a test to his math classes. He created a histogram that showed the frequency of As, Bs, and Cs. He labeled the x-
axis with the student scores, and the y-axis with the number of students. Which is the correct way to label the intervals on the x-
axis?
A)
70-79, 80-89, 90-99
B)
70-80, 80-90, 90-100
C)
70-79, 80-88, 88-100
D)
70-74, 75-89, 90-94, 95-100

Answers

Answer:

D

Step-by-step explanation:

I got it right on Khan Academy

Answer:

d

Step-by-step explanation:

plz help quick will mark as brainliest

Answers

Answer:

4ab^2

Step-by-step explanation:

Answer:

so the greatest common factor would be 4ab^2

Find the area of the circle that contains the sector described below. Round to the nearest tenth, if necessary.

One sector has an area of 210 square centimeters and an arc measure of 30°.


_____________ cm squared

Answers

Answer:

The area of the circle is 2520 cm²

Step-by-step explanation:

The area of an arc is given by the following formula:

arc area = pi*r²(angle/360)

In this case we have the area and the angle and we want to find r, so we have:

210 = pi*r²*(30/360)

210 = pi*r²*(1/12)

210*12 = pi*r²

pi*r² = 210*12

r² = 2520/pi

r = sqrt(2520/pi)

r = 28.3221

The area of the circle that has this arc is given by:

area = pi*r²

area = pi*(28.3221)² = 2520 cm²

The coefficient of 6xis

Answers

Answer:

The coefficient is 6

Step-by-step explanation:

The coefficient is the number before the variable

In this case, the variable, or the unknown value, is x.

The number before x is it's co-efficient.

6x

The number before the x is 6

Hope this helps :)

Answer:

6 is the coefficient

Step-by-step explanation:

Coefficient: multiples the variable to some power.

 like for example

3x^2

3 is the coefficient

or

Ax^n

A is the coefficient

8. If you were trying to conduct a survey of political preferences for likely voters in an upcoming election and
decided to dial 1,000 randomly generated land-line phone numbers (not cell), why might this still introduce
bias into the sampling?

Answers

Answer:

Answer:

Simple Random Sampling

Explanation:

In this sampling method, individuals are chosen by chance by allocating a number to them. As in this case a random number was generated to pick which voters to call.

Step-by-step explanation:

The sum of the squares of two consecutive positive odd integers is 202. Find the numbers. Please use a let statement and algebraic solution. thanks! :)

Answers

Answer:

9 and 11

Step-by-step explanation:

The sum of the squares of two consecutive positive odd integers is 202.

Let first number be x and other number is (x+2).

According to question,

[tex]x^2+(x+2)^2=202\\\\x^2+x^2+4+4x=202\\\\2x^2+4x+4=202\\\\2x^2+4x-198=0[/tex]

It is a quadratic equation. The solution of a quadratic equation is given by :

[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}[/tex]

We have, a = 2, b = 4 and c = -198

So,

[tex]x=\dfrac{-b+ \sqrt{b^2-4ac} }{2a}, \dfrac{-b- \sqrt{b^2-4ac} }{2a}\\\\x=\dfrac{-4+ \sqrt{4^2-4\times 2\times (-198)} }{2(2)}, \dfrac{-b- \sqrt{b^2-4ac} }{2a}\\\\x=9, -11[/tex]

So, first positive odd integer is 9 and second one is (9+2)=11

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