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2 years ago

Two similar

Mathematics

1 answer:

tamaranim1 [39]2 years ago

5 0

Answer:

The mass of the smaller cylinder is 36 grams.

Step-by-step explanation:

Given that two similar cylinders have total surface areas of 45cm² and 20cm², if the larger has a mass of 81g, the following calculation must be performed to determine the mass of the smaller one:

45 = 81

20 = X

(20 x 81) / 45 = X

1620/45 = X

36 = X

Therefore, the mass of the smaller cylinder is 36 grams.

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A linear model of this situation contains the values (15, 300.2) and (26, 177.88) where x represents the number of square inches

maw [93]

Answer: Paula starts with 301.5 yarns.

Step-by-step explanation:

Equation of a line passing through two points (a,b) and (c,d) is given by:-

$(y-b)=\dfrac{b-d}{a-c}(x-a)$

Given: x= number of square inches knitted on the scarf

y= number of yarns remaining on the ball of yarn

The equation of a line passing through (15, 300.2) and (26, 177.88):

$(y-300.2)=\dfrac{26-15}{177.88-300.2}(x-15)\\\\\Rightarrow (y-300.2)=\dfrac{11}{-122.32}(x-15)\\\\\Rightarrow (y-300.2)=\dfrac{11}{-122.32}(x-15)$

To find initial point, put x=0

$y-300.2=-\dfrac{11}{122.32}(0-15)\\\\\Rightarrow\ y-300.2=\dfrac{375}{278}\\\\\Rightarrow\ y=\dfrac{375}{278}+300.2\\\\\Rightatrrow\ y=301.5 \ \ (approx)$

Hence, Paula starts with 301.5 yarns.

5 0

3 years ago

Helene invested a total of $1,000 in two simple-interest bank accounts. One account paid 8% annual interest; the other paid 9% a

Lelu [443]

Answer: -600 and 1600 were invested into the two accounts.

Step-by-step explanation:

x = amount invested in the first account.

y = amount invested in the second account.

You start off with this equation

$x + y = 1000$

$0.08x + 0.09y=86$

Subtract both sides by y.

$x=1000-y$

Subsitude 1000 - x for x for the second equation.

$0.08(1000-y)+0.09y=$86$

Use the distributive property to solve for y.

$80-0.08y+0.09y=86$

$80-0.01y=86$

$6=-0.01y$

$=-600$

Subsitude -600 for y in the first equation and solve for x.

$x-600=1000$

$x=1600$

-600 and 1600 were invested into the two accounts.

4 0

2 years ago

Find c.<br> Round to the nearest tenth.

solmaris [256]

Answer: Picture is blury for me I can not see it well enough

Step-by-step explanation:

All i see is the 8 ft and 17ft cant see any of the other numbers

8 0

3 years ago

Side length of cube with volume of 729 ft

navik [9.2K]

The answer is 9, hope this helped <3

6 0

3 years ago

Need help any body help please

lutik1710 [3]

For the first one (aka 7) you would write 10² wich is the same as 10×10 and so the answer is 100

For the second one (aka 8) you would write 3×3×3×3×3×3×3×3×3 and the answer is 486 square miles

6 0

3 years ago