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​

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)

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

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.

Answer:

aas

Step-by-step explanation:

angle angle and the middle is side

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

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

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]

Answer:

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

Have a good day <3

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

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

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

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!

Step-by-step explanation:

here

10^2=8^2+X^2

X^2=100-64

X=√36

X=6

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.

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)

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

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

Given the following data:

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

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

Answer:

60

Step-by-step explanation:

Check the picture below.

Answer:

Rational.

Step-by-step explanation:

-5 times √121

= -5 * 11

=-55

Rational.

Answer:

94)=154°

95)=40°

96)=11

97)=11

98)=9

Answer:

18-3(n-1)

Step-by-step explanation:

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

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]