The mass of a sheet of metal varies jointly with its area and its thickness. A sheet of metal of area 250cm2 and thickness 1mm has a mass of 200g. Find the formula which connects the mass M g, the area A cm2 and the thickness 1mm. Hence find the mass of a piece of metal of area 400 cm2 and thickness 3mm​

Answers

Answer 1

The Formula of the relation is M = 8AT.

The mass of the metal sheet is 960 g.

The expression below shows the variation between the mass of the sheet (M), Area of the Sheet(A), and thickness (T).

Proportionality:

M ∝ AT

Removing the proportionality sign,

M = KAT

Where:

K = constant of proportionality.

make K the subject of the equation:

K = M/KT.................... Equation 1

From the question,

Given:

M = 200 gA = 250 cm²T = 1 mm = 0.1 cm

Susbtitute into equation 1

K = 200/(250×0.1)K = 8 g/cm³

Formula:

M = 8AT................. equation 2

Hence the formula of the relation is M = 8AT

If,

A = 400 cm²T = 3 mm = 0.3

Substitute these values into equation 2

M = 8(400)(0.3)M = 960 g

Hence,  the mass of the metal sheet is 960 g

Learn more about joint variation here: https://brainly.com/question/26047253


Related Questions

?/5 =8/10 type the missing number that makes this fraction equal

Answers

- - - - - - - - - - - - - - - - - - [tex] \frac{?}{5} = \frac{8}{10} [/tex]Let's take the missing number as x.

[tex] \frac{x}{5} = \frac{8}{10} [/tex]Means = Extremes [tex]x \times 10 = 5 \times 8[/tex][tex]x = \frac{5 \times 8}{10} [/tex]___(Cancel by 2 table)[tex]x = \frac{5 \times4 }{5} [/tex]___(Cancel by 5 table, So that we cancel 5 in the denominator and numerator)[tex]x = 4[/tex]- - - - - - - - - - - - - - - - - -

Therefore, The missing number is 4.

Which equation correctly uses the law of cosines to solve for y? 92 = y2 + 192 – 2(y)(19)cos(41°) y2 = 92 + 192 – 2(y)(19)cos(41°) 92 = y2 + 192 – 2(9)(19)cos(41°) y2 = 92 + 192 – 2(9)(19)cos(41°) PLS HELP!!

Answers

Answer:

[tex]Fourth \: option: y^2=9^2+19^2-2(9)(19) cos(41°)[/tex]

[tex]The \: law \: of \: cosines \: to \: solve \: for \: one \: side  \: is:[/tex]

[tex]c^2=a^2+b^2-2ab \: cos \: C[/tex]

We must know the other two sides (a and b) and the angle between these sides (angle C, the opposite to the side that we want to determine)

In this case c=y, a=9, b=19, and C=41°, then:

[tex]y^2=9^2+19^2-2(9)(19) \: cos \: (41°)[/tex]

Write the phrase "one more than the product of six and nine" as a mathematical expression.

Answers

Answer:

6.9+1

Step-by-step explanation:

hope it helps

[tex]\huge\mathfrak\blue{ ☃ }[/tex]

Answer:

the product of six and nine is fifty five

Write the equation for the following sequence: 18, 15, 12,… Write the equation in terms of n (do not use Sn).

Answers

Answer:

18-3(n-1)

Step-by-step explanation:

Is the product of -5 and v121 rational or irrational

Answers

Answer:

Rational.

Step-by-step explanation:

-5 times √121

= -5 * 11

=-55

Rational.

I want a way to solve such a problem​

Answers

Answer: please calculate the answer.

Step-by-step explanation:\\ Bro use this formula (sum of all numbers of the question) \ no. of seen numbers.

Arithmetic mean = ( 24+124+243+...) \ 12

4. Mother pays Php 199.50 for 2.85 kg of rice. How much does a kilogram of rice cost?
a.35
b.70
c.75
d.105

please answer it correctly.​

Answers

Answer:

B. 70

Step-by-step explanation:

If 199.50 PHP gets you 2.85KG of rice.

A kilogram of rice would cost = Total Amount / Total Weight.

199.50/2.85

= 70PHP

solve the sinusoidal equation:


5sin(3x)-1=3

Answers

Answer:

[tex]x=0.3090984+\frac{2\pi n}{3},0.73809914+\frac{2\pi n}{3}[/tex]

Step-by-step explanation:

[tex]5sin(3x)-1=3[/tex]

[tex]5sin(3x)=4[/tex]

[tex]sin(3x)=\frac{4}{5}[/tex]

[tex]3x=0.92729521+2\pi n,2.21429743+2\pi n[/tex]

[tex]x=0.3090984+\frac{2\pi n}{3},0.73809914+\frac{2\pi n}{3}[/tex]

Solve the system of equations by the substitution method.
y = 2x + 1
5y-7x = 11
.....
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The solution is (Simplify your answer. Type an ordered pair.)
OB. There are infinitely many solutions.
O C. There is no solution.

Help

Answers

Answer:

(2,5) -- that is, x is 2, and y is 5, so it would be choice A.

Step-by-step explanation:

5(2x+1)-7x=11

10x+5-7x=11

3x=6

x=2

y=2(2)+1=5

Please help mee!
no links :(

Answers

Answer:

a=0.62, b=7/9, c=10/9

Step-by-step explanation:

Brainliest would be appreciated

Answer:

B, if its not b then its C.

Step-by-step explanation: hope this is correct and helps you!

Part A: James bought a cake that weighs pounds. How many ounces does the cake weigh? Show your work. (5 points)

[16 ounces = 1 pound]

Part B: A running tap dispenses 0.15 gallons of water every second. How many pints of water is dispensed after 20 seconds? Show your work. (5 points)

[1 gallon = 4 quarts, 1 quart = 2 pints]

Question 4 options:

Answers

Answer:

For part a multiply the pound amount by 16. Your work would look something like this... (not actual answer) 10 pounds x 16= 160 ounces. So 10 pounds= 160 ounces!

For part B

0.15 gallons=1.2 pints

Example: .15 x 4= .6

.6 x 2= 1.2 pints

1.2 x 20 seconds= 24 pints!

Hope this helps

Step-by-step explanation:

:)

Answer:

Part A: 52 oz

Part B: 24 pints

Step-by-step explanation:

Part A:

Since 1 pound = 16 ounces, the number of ounces is 16 times the number of pounds. To convert pounds to ounces, multiply the pounds by 16.

3 1/4 lb × 16 oz/lb =

= 13/4 × 16 oz

= 13 × 4 oz

= 52 oz

Answer: 52 oz

Part B:

We need to convert from gallons to pints.

1 gallon = 4 quarts

1 quart = 2 pints

That means that 1 gallon = 8 pints.

0.15 gallon/second × 8 pints/gallon =

= 1.2 pints/second

The tap dispenses 1.2 pints/second.

Now we calculate the number of pints dispensed in 20 seconds.

1.2 pints/second × 20 seconds = 24 pints

Answer: 24 pints

Determine if the two triangle are congruent. If they are state how you know

Answers

Answer:

aas

Step-by-step explanation:

angle angle and the middle is side

some help, I need some answers

Answers

Step-by-step explanation:

here

10^2=8^2+X^2

X^2=100-64

X=√36

X=6

A rule for creating a pattern is given below.
Rule: Subtract 7 from 2 to get y.
Which ordered pair, (x, y), works for the rule?

Answers

Answer:

(any real number, 5)

Step-by-step explanation:

Well given that y=7-2 and that y=5, we do not know the value of x, therefore x could be any real number with y being 5. I'm pretty sure that answered your question. So, a example of an ordered pair that would fit this rule would be say (5,5) or (7,5)

In 2000, there were 285 cell phone subscribers in the small town of Centerville. The number of subscribers increased by 65% per year after 2000. How many cell phone subscribers were in Centerville in 2020?

Answers

To determine the total number of cell phone subscribers that were in Centerville in 2020 is 5,928,227 people.

Given the following data:

Number of subscribers = 285Percentage increase = 65% Starting year = 2000Ending year = 2020

Increment rate = 165% = 1.65

To determine the total number of cell phone subscribers that were in Centerville in 2020:

First of all, we would calculate the difference in years:

[tex]Year = 2020 - 2000[/tex]

Year = 20 years

Mathematically, the growth rate of cell phone subscribers that were in Centerville in 2020 is given by the formula:

[tex]A_n = Pr^t[/tex]

Substituting the given parameters into the formula, we have;

[tex]A_{20}=285(1.65)^{20}\\\\A_{20}=285 \times 22370.67\\\\A_{20}=5,928,227.55[/tex]

Subscribers = 5,928,227 people.

Read more: https://brainly.com/question/24731714

really need help with this

Answers

Answer:

Step-by-step explanation:

You have 2 sides given in a right triangle. You can make an equation that will solve for x. In fact the tangent will do. There's no need to solve for the third side.

Tan(x) = opposite / adjacent

opposite = 39

adjacent = 76

Tan(x) = 39/76

Tan(x) = 0.5132

When finding an angle, you need to use the inverse tan.

x = tan-1(0.5132)    Use 2nd function tan(x)

x = 27.16 degrees.

Step-by-step explanation:

first we need the length of the Hypotenuse (UW).

Pythagoras :

c² = a² + b²

with c being the Hypotenuse (the side opposite of the 90 degree angle).

UW² = 76² + 39² = 5,776 + 1,521 = 7,297

UW = sqrt(7297) = 85.42247948...

now we get x from the law of sine :

sinA/a = sinB/b = sinC/c

with the angles always being opposite of the sides.

so, we have

sin(x)/39 = sin(90)/sqrt(7297) = 1/sqrt(7297)

sin(x) = 39/sqrt(7297) = 0.456554296...

x = 27.16498506...° ≈ 27.2°

we could have done it without the Hypotenuse first.

as the angle W is 90-x

sin(x)/39 = sin(90-x)/76 = cos(x)/76

sin(x)/cos(x) = 39/76 = tan(x) = 0.513157895...

x = 27.16498506...° ≈ 27.2°

as expected, it is precisely the same result.

How do you pass 10th grade geometry

Answers

Answer:

Study hard and stay determined

Find simple steps to help you remember and "wrap you head" around it better.

If you ask for help and try your best you should be able to get enough passing grades to pass 10th grade geometry. If I did, that means you can too.

How do you pass any course?

Study and study some more.

There is no easy road to success.

Math is not easy. If math were easy, everybody would get an A. What specific geometry topic are you stuck on? I am not that smart. I passed geometry at FDR HIGH SCHOOL back in the 1980s. We had no internet back then. At least you have YOU TUBE. If I passed, so can you.

Hello can anyone help me with these problems please and thank you

Answers

Answer:

94)=154°

95)=40°

96)=11

97)=11

98)=9

How can a person best reduce the risk of sustaining permanent injuries?

Wear protective clothing while sleeping at home.
Secure a seat belt only when riding in the front seat.
Wear a cracked bicycle helmet while riding a bicycle.
Put away guns in a lockbox that is secure and in a discrete location.

Answers

Answer:

Put away guns in a lockbox that is secure and in a discrete location.

Have a good day <3

Express your answer in scientific notation. PLS HELP

Answers

10^2=100
3600-6.3-100= 3493.7

hope this helps!

The sum of 2x minus 2 is 8

Answers

I don’t know but it might be
2x-2=8
X=5

please help me on this one would be great help.

Answers

t = 60

please mark me brianliest

Answer:

60

Step-by-step explanation:

Which expression is undefined?

Answers

Answer:

D: [tex]\frac{3}{(6-6)}[/tex]

Step-by-step explanation:

Option A equates to [tex]-\frac{0}{2}=0[/tex]

Option B equates to [tex]\frac{(-4+0)}{8}=\frac{-4}{8}=-\frac{1}{2}[/tex]

Option C equates to [tex]0\div11 =0[/tex]

Option D equates to [tex]\frac{3}{(6-6)}=\frac{3}{0}[/tex] which cannot be defined as division by 0 is impossible

PLEASE help me answer this!!!

Answers

Check the picture below.

please help for brainliest!!!!

Answers

Answer:

d)

[tex] {i}^{740} [/tex]

Step-by-step explanation:

i¹= i

i²= -1

i³= -i

i⁴= 1

i¹²⁴= i^(124 +0)

i^124 . i^0

i^(4×31) . i^0 = 1³¹. i^0

1.i^0= i^0

= 1

a) i^179= i^(176+3)

i^176 . i³ = i^(4×44) . i³

1⁴⁴. i³ = 1. i³

= -i

b) i^582 = i^(580 + 2)

i^580 . i²= i^(4×145) . i²

1^145 . i²= 1.i²

= -1

c) i^165= i^(164+1)

i^164 . i¹ = i^(4×41) . i¹

1⁴¹ . i¹ = 1.i

= i

d) i^740= i^(740+0)

i^740 . i^0 = i^(4×185) . i^0

1^185 . i^0 = 1. i^0

= 1

i¹²⁴= i^740 = 1

Question 1
A number, w, is located to the left of 5 on the number line.
Which inequality represents this situation?
A
W> 5
B
w < 5
с
w > -5
D
w < -5

Answers

The answer is c because left side of number line is negative

Jenny bought 5 pounds of carrots for $2.50. What is the unit rate for
Jenny's purchase? Identify the true statement that corresponds to this
situation.

A. 2 pounds of carrots per $1
B. $5 per pound

Answers

Answer:

A. 2 pounds of carrots per $1

Step-by-step explanation:

[tex]\frac{5 pounds }{2.5 dollars}=\frac{2pounds }{1 dollars}[/tex]

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Area =12
X+2
X+4
X =

Answers

Answer:

To find area of the square you'll need to square one side

(3X)^2 = 81

9(X)^2 = 81

(x)^2 = 81/9

x^2 = 9

X = (9)^1/2

X = 3

Convert the equation to polar form. (Use variables r and as needed.)
x2 − y2 = 12

Answers

In converting to polar coordinates, we take

x = r cos(t)

y = r sin(t)

Then in the given equation,

x² - y² = 12

(r cos(t))² - (r sin(t))² = 12

r² cos²(t) - r² sin²(t) = 12

r² (cos²(t) - sin²(t)) = 12

r² cos(2t) = 12

r² = 12 sec(2t)

Determine if the two triangles are congruent. If they are, state how you know

Answers

Yes they’re congruent as they have exactly the same angles and sides
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