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statuscvo [17]
3 years ago
6

two similar containers have base areas 26cm² and 324cm² respectively. Calculate the capacity of the larger container correct to

one decimal place if the capacity of the smaller one is 8cm²​
Mathematics
2 answers:
katovenus [111]3 years ago
6 0
The Correct Answer Is 351.9 cm^3
Setler79 [48]3 years ago
5 0

Answer:

351.9 cm³

Step-by-step explanation:

The ratio of the areas of two similar solids is equal to the square of the ratio of the lengths.

A₂ / A₁ = (s₂ / s₁)²

The ratio of the volumes of two similar solids is equal to the cube of the ratio of the lengths.

V₂ / V₁ = (s₂ / s₁)³

Therefore, we can say:

V₂ / V₁ = (A₂ / A₁)^(3/2)

Plugging in values:

V / 8 cm³ = (324 cm² / 26 cm²)^(3/2)

V = 351.9 cm³

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The side of one square is equal to 3m and its diagonal is equal to the side of a second square. Find the diagonal of the second
navik [9.2K]

Answer:

6m

Step-by-step explanation:

the side of first square = 3 m

area of first square = 3^2= 9 m^2

let the side of second square = x m

since diagonal of first square = x m as per the question

in a square each angle is 90 degree

therefore by applying pythagorus theorem ,

diagonal ^2 = side^2 + side ^2

diagonal^2 = 3^2+3^2=9+9

DIAGONAL= square root of 18

diagonal= 3\sqrt{2} m = side of second square

therefore in second square ,

one angle is 90  degree , therefore by applying pythagorue theorem

diaqonal^2 = side ^2 + side ^2 = (3\sqrt{2})^2 + ( 3\sqrt{2})^2

diagonal ^2 = 18 + 18

diagonal = square root of 36

therefore diagonal of second square is 6m

hope it helps you... please mark me as the brainliest..

8 0
3 years ago
Read 2 more answers
The table shows Linda's monthly expenses . Which list shows the expenses in order from greatest to least amount of the monthly b
rosijanka [135]
ANWSER
food, other, utilities, car, rent

EXPLANATION
u=13%
r=43%
f =1%
c=27%
o=7%

1%, 7%, 13%, 27%, 43%
6 0
3 years ago
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. Write the exponential function modeling an initial population of 67,000 and a relative growth rate of 1.7% per year. What popu
Vlada [557]

Answer:

In 37 years the population will be 125,012

Step-by-step explanation:

Giving the following information:

Initial population (PV)= 67,000

Growth rate (g)= 1.7%= 0.017

Number of years (n)= 37

<u>First, we will establish the future value (FV) formula:</u>

FV= PV*(1+i)^n

FV= 67,000*(1.017^n)

<u>Now, for 37 years:</u>

FV= 67,000*(1.017^37)

FV= 125,012

In 37 years the population will be 125,012

6 0
3 years ago
Demand The demand function for a product is given by
stira [4]

Answer:

x= -\frac{ln [\frac{5P}{8000-P}]}{0.002}

a) x= -\frac{ln [\frac{5*200}{8000-200}]}{0.002} =1027.062 \approx 1027

b) x= -\frac{ln [\frac{5*800}{8000-800}]}{0.002} =293.893 \approx 294

Step-by-step explanation:

For this case we have the following function:

P= 8000 (1- \frac{5}{5 +e^{-0.002 x}})

We can solve for x like this. First we can reorder the expression like this:

\frac{P}{8000} = 1- \frac{5}{5+e^{-0.002x}}

\frac{5}{5+e^{-0.002x}} = 1 -\frac{P}{8000} = \frac{8000-P}{8000}

\frac{40000}{8000-P} = 5 + e^{-0.002x}

Now we can apply natura log on both sids and we got:

ln[\frac{40000}{8000-P} -5] = ln e^{-0.002x}

ln [\frac{5P}{8000-P}] = -0.002x

And if we solve for x we got:

x= -\frac{ln [\frac{5P}{8000-P}]}{0.002}

Part a

For this case we can replace P = 200 and see what we got for x like this:

x= -\frac{ln [\frac{5*200}{8000-200}]}{0.002} =1027.062 \approx 1027

Part b

For this case we can replace P = 800 and see what we got for x like this:

x= -\frac{ln [\frac{5*800}{8000-800}]}{0.002} =293.893 \approx 294

4 0
3 years ago
While catching fireflies, you and a friend decide to have a competition. After m minutes, you have (3m+13) fireflies and your fr
scoundrel [369]

Answer:

7m + 19 should be the answer

Step-by-step explanation:

total 7m + 19

3 0
3 years ago
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