2 cans of paint hold 64 and 125 oz. if the cans are similar cylinders and the smaller lid has an area of 18 find the area of the bigger lid.

Answers

Answer 1

Answer:

The area of the bigger lid is approximately 29.2 square inches

Step-by-step explanation:

The given data are;

The volume held by one of the cans of paint, V₁ = 64 oz

The volume held by the other cans of paint, V₂ = 125 oz

The area of the smaller lid = 18 in²

Therefore,

The 64 Oz = The smaller can of paint

The 125 oz = The larger can of paint

The diameter of the smaller lid, d₁ = √(18 × 4/π) ≈ 4.787

The ratio of can volumes = (The ratio of can diameters)³

V₁/V₂ = (d₁/d₂)³

V₁/V₂ = 64/125

d₁/d₂ ≈ 4.787/d₂

64/125 = (4.787/d₂)³

4.787/d₂ = ∛(64/125) = 4/5

d₂ ≈ 4.878×5/4 = 6.0975

The area of the bigger lid, A₂ = π·d₂²/4

∴ A₂ = π × 6.0975²/4 ≈ 29.2

The area of the bigger lid, A₂ ≈ 29.2 in.²


Related Questions

x-2+5y*7*6x+89y-6+345​

Answers

Answer:

337+x+89y+210xy

Step-by-step explanation:

x-2+(5y*7*6x)+89y-6+345

x-2+(210xy)+89y-6+345

x-2+210xy+89y-6+345

-2-6+345+x+89y+210xy

337+x+89y+210xy

I will give BRAINLIEST the correct answer
Find the measure of angle 6.

Answers

Answer:

X = 19

Step-by-step explanation:

Two parallel lines cut by a transversal means the corresponding angles are congruent. Set each equation equal to each other and solve for x.

2x+78= 7x-17

Add 17 to both sides: 2x + 95= 7x

Then subtract 2x from both sides: 95= 5x

divide each side by 5, for final answer: x= 19

Jamie deposits 400 into a savings account. The account has an interest rate of 5%, compounded quarterly. Right to function that gives you The amount of money in dollars, J(t) in t years after the initial deposit

Answers

Given:

Initial value = 400

Interest rate = 5% compounded quarterly.

To find:

The function that gives you the amount of money in dollars, J(t) in t years after the initial deposit.

Solution:

The formula for amount is:

[tex]A=P\left(1+\dfrac{r}{n}\right)^{nt}[/tex]

Where, P is principal, r is the rate of interest in decimals, n is the number of times interest compounded in an year and t is the number of years.

The interest rate is 5% compounded quarterly. So, r=0.05 and n=4.

Substituting [tex]P=400,\ r=0.05,\ n=4[/tex] in the above formula, we get

[tex]A=400\left(1+\dfrac{0.05}{4}\right)^{4t}[/tex]

[tex]A=400\left(1+0.0125\right)^{4t}[/tex]

[tex]A=400\left(1.0125\right)^{4t}[/tex]

The required function notation is:

[tex]J(t)=400\left(1.0125\right)^{4t}[/tex]

Therefore, the amount of money in dollars, J(t) in t years after the initial deposit is [tex]J(t)=400\left(1.0125\right)^{4t}[/tex].

Find the slope of the line that passes through the following points E (4, 1 2/3) and F (-2,2/3)

Answers

Answer:

1/6

Step-by-step explanation:

To find the slope, we use the slope formula

m = ( y2-y1)/(x2-x1)

m = ( 2/3 - 1 2/3)/(-2 -4)

   = -1/-6

   = 1/6

A man has a coupon to buy 8 oranges, he already has six, so how many does he have if he uses his coupon to buy 8 more oranges.

Answers

Answer:

14 oranges

Step-by-step explanation:

8+6

A cuboid has 3 different sized faces. The areas of 2 of the faces are 84cm2and 56cm2. The volume of the cuboid is 672cm3. Find the length, width and height of the cuboid and the area of the third face.

Answers

Answer:

Length: 12 cm

Width: 8 cm

Height; 7 cm

Step-by-step explanation:

We are told that the areas of 2 of the faces are 84cm² and 56cm².

Now, the side faces are 4 in total with 2 each having same areas.

Thus, it means they would have the same height.

Let's find the highest common factor between 84cm² and 56cm².

The highest number that can be divide each equally is 7.

Thus;

12 × 7 = 84 cm²

8 × 7 = 56 cm²

This means, the bottom part will measure 12 cm by 8 cm.

Thus, the complete measurement is;

Length: 12 cm

Width: 8 cm

Height; 7 cm

Let's check if it will give us a Volume equal to that given.

Thus;

Volume = 12 × 8 × 7 = 672 cm²

This is same as that given and so our dimensions are correct.

first step for solving this quadratic equation?
x2+2x-11=4

Answers

Answer:

subtract 4 from both sides

Step-by-step explanation:

Given

x² + 2x - 11 = 4

First step : subtract 4 from both sides

x² + 2x - 15 = 0 ← in standard form

Second step : factorise the quadratic

(x + 5)(x - 3) = 0 ← in factored form

Third step : equate each factor to zero and solve for x

x + 5 = 0 ⇒ x = - 5

x - 3 = 0 ⇒ x = 3

Fourth step : state the solutions

solutions are x = - 5, x = 3

 

Ken buys two bunches of bananas. One bunch weighs 2 pounds 10 ounces. The other bunch weighs 1 pound 8 ounces. What is the total weight of Ken's bananas?

Answers

Answer:

4 pounds 2 oz

Step-by-step explanation:

16 oz = 1 pound so you add 10 and 8 to get 18-16 to get 4 pounds 2 oz

Jagan and Mithun calculated the value of 12 - 6 + 4.The steps are given alongside.
Who has given the correct answer, justify

Answers

Answer:

10.

Step-by-step explanation:

Explanation:

[tex]12 - 6 + 4[/tex]

In order to solve this, we must use PEMDAS.

This is because there are more than one operations involved.

PEMDAS is the order in which you must solve the operations.

PEMDAS STANDS FOR:

ParenthesisExponential Notation (exponents)Multiplication/division (do whichever comes first)Addition/subtraction (do whichever comes first)

Solve.

Now, using PEMDAS, I will solve.

There are no parenthesis.

There are no exponents.

There is no multiplication nor division.

There is addition and subtraction.

[tex]12-6+4[/tex]

[tex]12-6=6[/tex]

[tex]6+4[/tex]

Lastly, there is addition.

[tex]6+4=10[/tex]

Conclude:

I, therefore, believe [tex]12-6+4=10.[/tex]

You did not clarify the answers of Jagan nor Mithun.

So, whichever person got the answer of 10 is correct.

consider the figure below

given
m || n
m∠2=3x+53
m∠7=7x-55

what is m∠8?

Answers

Answer:

m<8 = 46°

Step-by-step explanation:

m<2 = m7 (alternate exterior angles are congruent)

Substitute

3x + 53 = 7x - 55

Collect like terms

3x - 7x = -53 - 55

-4x = -108

Divide both sides by -4

-4x/-4 = -108/-4

x = 27

m<8 + m<7 = 180° (linear pair angles)

Substitute

m<8 + 7x - 55 = 180°

Plug in the value of x

m<8 + 7(27) - 55 = 180

m<8 + 189 - 55 = 180

m<8 + 134 = 180

Subtract 134 from each side

m<8 = 180 - 134

m<8 = 46°

Which of the following is an equation of the line that passes through the point (-2,3) and is perpendicular to the graph of the equation y = 3x - 2?

Answers

Answer:

y = -1/3x + 7/3

Step-by-step explanation:

A line that is perpendicular to another line has the opposite reciprocal slope. That means we flip the slope of the original line and place a negative in front. Since the original slope is 3, the slope perpendicular is -1/3.

Now that we know the slope, and because they gave us a point on that line, we can create a line. Plug in the points and the slope into y = mx + b, to solve for b, the y-intercept.

3 = -1/3 (-2) + b

9/3 = 2/3 + b

7/3 = b

Now we can create a line in slope intercept form: y = -1/3x + 7/3

Here is Standard Form if needed: x + 3y = 7

Seriously I haves to do this again pls answer for real
And sure I do have 1106 points left but still stop wasting peoples time

Answers

Answer
1/15
Step by step explanation
Add all numbers up and then divide the number of newspapers by the total numbers added up and simplify

Se desean plantar 361 plantas de limón, en un terreno cuadrado, de manera que en cada fila queden a un metro de distancia. a)Cuántas filas de limones habrá? b)Sobrarían algunos arbolitos? c)cuántos?

Answers

Answer:

a) El número de filas de limones es [tex]n = \sqrt{361} = 19[/tex]. Es decir, se necesitan 19 filas de árboles.

b) No sobran árboles.

c) 0 árboles.

Step-by-step explanation:

Dado que las plantas de limón deben cubrir un terreno cuadrado, entonces se debe satisfacer que la siguiente condición:

[tex]n^{2} \le 361[/tex]

Donde [tex]n[/tex] es el número de filas de árboles de limón.

Si [tex]n < 19[/tex], entonces sobrarán árboles.

a) El número de filas de limones es [tex]n = \sqrt{361} = 19[/tex]. Es decir, se necesitan 19 filas de árboles.

b) No sobran árboles.

c) 0 árboles.

An equation with an unknown value is shown 13/10 + 2/100= ?/100

Answers

Answer:

132/100, or 1.32

Step-by-step explanation:

Just change 13/10 to 130/100 and add 2/100 to make it 132/100, or 1.32 :)

What is the volume of the plastic rocket???

Answers

Answer:

151 in^3

Step-by-step explanation:

The rocket consists of two shapes - a cone and a cylinder

the volume of the plastic = volume of cone + volume of cylinder

volume of a cylinder = nr^2h

Volume of a cone 1/3(nr^2h)

n = 22/7  

r = radius

the diameter is the straight line that passes through the center of a circle and touches the two edges of the circle.

A radius is half of the diameter

Radius = 5/2 = 2.5

Height of cone = 11 - 6 = 5

Volume of plastic = (22/7) x (2/5^2) x 6  + (1/3) x (22/7) x (2/5^2) x 5 = 117.9 + 32.7 = 150.6 in^3 = 151

HURRY HELP.. whats the indicated measure

Answers

Answer:

< ABE  = 109

Step-by-step explanation:

Angle Formed by Two Chords = 1/2(SUM of Intercepted Arcs)

< ABE = 1/2 ( 38+ 180)

< ABE = 1/2( 218)

< ABE  = 109

39.98× 0.5 is approximately equal to

Answers

Answer:

20

Step-by-step explanation:

it equals 19.99 but if you round it equals to 20

SOMEONE PLSSSS HELP!!!!!!!

Answers

Answer:

you can use desmos

Step-by-step explanation:

for example put x=88

and do the same with the rest

then put x+y+z and you will get your answer

find the measure of angle 3​

Answers

Answer:

angle 3 is 87 degree

Step-by-step explanation:

-7x+191=-5x+163(they are alternte interior angle)

-7x+5x=163-191

-2x=-28

x=-28/-2

x=14

substitute the value of x in -5x+163

-5*14+163

-70+163

93

Now,

angle 3 + (-5x+163) = 180 degree (they are cointerior angles)

angle 3 + 93 = 180

angle 3 = 180-93

angle 3 = 87 degree

Royston is driving to a popular amusement park with his family.
Royston’s car had gallons of gas at the start of the trip. During the trip, he stopped at a gas station and refueled the car with gallons. If the car consumed gallons of gas during the trip, there are still
gallons of gas remaining in the tank.

Answers

Answer:

yes

Step-by-step explanation:

b/c he only filled his car only one time so he might have remained gallons of gas

Hey, Could you help me? Thank you

Answers

Answer to your problem is 11

During which interval is the graph of the
function below only increasing?
HELLPPPPP!!!!!

Answers

Answer:

-2 < x < ఔ

Step-by-step explanation:

F’x = 3x^2 + 18x + 24

F’x = 3(x^2 +6x +8)

F’x = 3(x+4)(x+2)

One of the points of inflection will be at x = -2, and after -2 we know the equation will increase because it is positive

Insta: lankey.t

HELPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

29

Step-by-step explanation:

Hope this helps

Have a great day

Can I get help with these too? Thank you!!!!!

Answers

For ABC:

The interior angle of C is 180 - 142 = 38
The three interior angles add up to 180°
(2x - 15) + (x - 5) + 38 = 180
3x - 20 + 38 = 180
3x + 18 = 180
3x = 162
x = 54

The measure of angle ABC = x - 5 = 54 - 5 = 49

For JKL:
The interior angle of L is 180 - 100 = 80°
The 3 interior angles add up to 180°
(2x + 27) + (2x - 11) + 80 = 180
4x + 16 + 80 = 180
4x + 96 = 180
4x = 84
x = 21

The measure of angle JKL is 2x - 11 = 2(21) - 11 = 42 - 11 = 31°

What must be written on the dotted line to make a correct algebraic statement?
Write your answer on the dotted line.
6t+3t-…………………………..=t

A) 8t
B) t
C) 3t

Answers

Answer:

Option A = 8t

Step-by-step explanation:

6t + 3t - 8t = t

6t + 3t = 9t

9t - 8t = t

Which of the following functions is graphed below

Answers

Answer:

wachiwachiwachiwawawa

which number is greatest?

Answers

Answer:

3.88

Step-by-step explanation:

→ Calculate the exact value of each number

19 ÷ 5 = 3.8

3.88 = 3.888888888

15 ÷ 4 = 3.75

√15 = 3.8729

Two neon lights are turned on at the same time. One blinks every 4 seconds and the other blinks every 5 seconds. In 60 seconds, how many times will they blink at the same time?

Answers

3

Hope this helps! :)

______________

can you solve this? explian your reasoning. 2 6 3 9 6 18 15. What number comes next?

Answers

Answer:

The number of the sequence are 2, 3, 6, 15

The difference between 2 and 3 is 1 i.e. 30.

The difference between 3 and 6 is 3 i.e. 31.

The difference between 6 and 15 is 9 i.e. 32.

Let the next number in the given sequence be some natural number x.

Now, following the pattern, the difference between 15 and x has to be equal to 33=27.

i.e.

x−15=27⟹x=27+15=42

Hence

The next number in the sequence is 42.

Next number is 45, sequence goes times 3 then minus 3

geometry geometry geometry geometry geometry geometry help me pleasee

Answers

Answer:

Step-by-step explanation:

take 74 degree as reference angle

using cos rule

cos 74 =adjacent/hypotenuse

0.275=x/12

12*0.275=x

3.3=x

take 36 degree as reference angle

using sin rule

sin 36=opposite/hypotenuse

0.587=x/11

0.587*11=x

6.457=x

6.5=x

take 39 degree as reference angle

using tan rule

tan 39=opposite/adjacent

0.809=13/x

x=13/0.809

x=16.06

x=16.1

take 16 degree as reference angle

using tan rule

tan 16=opposite /adjacent

0.286=x/14

0.286*14=x

4.00=x

4.0=x

x=

Things to remember:

Sin = Opposite / Hypotenuse

Cos = Adjacent / Hypotenuse

Tan = Opposite / Adjacent

Whatever 2 terms you have in your equation are the ones you will use to determine Sin/Cos/Tan. For example, in question 21, the “X” was adjacent to your given angle (74°). The hypotenuse was 12, so you would use Cos since your two terms are Adjacent / Hypotenuse.

Also remember, the hypotenuse is the side opposite of the 90° angle.

The opposite side is the side opposite of the angle given (Not 90°).


The adjacent side is the side adjacent to the angle given (Also not 90°).
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