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2 years ago

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one brand of cheddar cheese sells for $0.29 per ounce Tanya bought a block of cheese for $2.61 which equation would be used to d

etermine the weight w of cheese in ounces

2 answers:

Ostrovityanka [42]2 years ago

4 0

Hopefully this will help

vlabodo [156]2 years ago

4 0

0.29w = 2.61

Hope this helps!

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Luden [163]

Cone details:

height: h cm

radius: r cm

Sphere details:

radius: 10 cm

================

From the endpoints (EO, UO) of the circle to the center of the circle (O), the radius is will be always the same.

<u>Using Pythagoras Theorem</u>

(a)

TO² + TU² = OU²

(h-10)² + r² = 10² [insert values]

r² = 10² - (h-10)² [change sides]

r² = 100 - (h² -20h + 100) [expand]

r² = 100 - h² + 20h -100 [simplify]

r² = 20h - h² [shown]

r = √20h - h² ["r" in terms of "h"]

(b)

volume of cone = 1/3 * π * r² * h

===========================

$\longrightarrow \sf V = \dfrac{1}{3} * \pi * (\sqrt{20h - h^2})^2 \ ( h)$

$\longrightarrow \sf V = \dfrac{1}{3} * \pi * (20h - h^2) (h)$

$\longrightarrow \sf V = \dfrac{1}{3} * \pi * (20 - h) (h) ( h)$

$\longrightarrow \sf V = \dfrac{1}{3} \pi h^2(20-h)$

To find maximum/minimum, we have to find first derivative.

(c)

<u>First derivative</u>

$\Longrightarrow \sf V' =\dfrac{d}{dx} ( \dfrac{1}{3} \pi h^2(20-h) )$

<u>apply chain rule</u>

$\sf \Longrightarrow V'=\dfrac{\pi \left(40h-3h^2\right)}{3}$

<u>Equate the first derivative to zero, that is V'(x) = 0</u>

$\Longrightarrow \sf \dfrac{\pi \left(40h-3h^2\right)}{3}=0$

$\Longrightarrow \sf 40h-3h^2=0$

$\Longrightarrow \sf h(40-3h)=0$

$\Longrightarrow \sf h=0, \ 40-3h=0$

$\Longrightarrow \sf h=0,\:h=\dfrac{40}{3}$ <u />

<u>maximum volume:</u> <u>when h = 40/3</u>

$\sf \Longrightarrow max= \dfrac{1}{3} \pi (\dfrac{40}{3} )^2(20-\dfrac{40}{3} )$

$\sf \Longrightarrow maximum= 1241.123 \ cm^3$

<u>minimum volume:</u> <u>when h = 0</u>

$\sf \Longrightarrow min= \dfrac{1}{3} \pi (0)^2(20-0)$

$\sf \Longrightarrow minimum=0 \ cm^3$

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1 year ago

Read 2 more answers

Rebecca buy some scarves that cost five dollars each and two purses that cost 12 each The cost Rebecca’s total purchase is $39 w

Fittoniya [83]

Answer:

d.

Step-by-step explanation:

First, you want to add together the amount of money she spent on purses ($24), and then consider the amount of scarves (5+n). To solve, you would subtract 24 from 39, and then divide that answer by 5

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3 years ago

Find all the zeros of f(x) = 2x - 5x² - 4x + 10.

galina1969 [7]

Answer:

10

Step-by-step explanation:

Plug in 0 where x is

See image below:)

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2 years ago

What is the constant ratio formula

Zigmanuir [339]

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2 years ago

Please I need help I’m giving 20 points for the answer please

strojnjashka [21]

Answer:

I would answer but in your question you said you are giving away 20 points when you are only giving away 15.... Make sure to state facts only.

Step-by-step explanation:

I'll answer anyways.....

You can make 0 different triangles. The angles/points would never line up right to make a triangle. Sorry if I'm wrong but I'm pretty sure this is right.

*If this helped Plz mark Brainliest*

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2 years ago