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1 year ago

Can someone please help me

Mathematics

1 answer:

dalvyx [7]1 year ago

3 0

Answer:

its 31,530

Step-by-step explanation:

because they have 36,064 after the marriage filing which is 4,534 they would have 31,530 left to spend or 4,534 to pay

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PLEASE HELP Which of the following statements correctly describes the counting principle?

mixer [17]

Answer:

The counting principle lets you multiply the number of options per category to find the total number of possible outcomes.

Step-by-step explanation:

So the first one.

3 0

2 years ago

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Hello people ~

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.

Using Pythagoras Theorem

(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)

First derivative

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

apply chain rule

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

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

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

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

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

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

$\Longrightarrow \sf h=0,\:h=\dfrac{40}{3}$

maximum volume: when h = 40/3

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

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

minimum volume: when h = 0

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

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

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1 year ago

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Solve the following please

Dima020 [189]

Answer:

x=4

Step-by-step explanation:

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3 years ago

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Michael reads 12 pages of a book in 18 minutes. If he reads at the same rate, how many pages will he read in 37 minutes?

Irina-Kira [14]

Answer:

Around 25 pages / 1.5 minute(s)

Step-by-step explanation:

18 / 12 = 1.5 minutes per paper.

So, 18 + 18 = 36 + 1 = 37 minutes

12 + 12 = 24 + 1 = 25

37 / 25 = 1.5

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3 years ago

To find the quotient 4 divided1/5 multiply 4 by

Alinara [238K]

Answer:

Step-by-step explanation:

When dividing numbers by fractions, we can simply multiply the umber by the reciprocal of the decimal. So,

4 ÷ 1/5 = 4 × (reciprocal of 1/5)

A reciprocal of a number is the same number written under 1. aka, 1 divided by that number, which simply is flipping the numerator and denominator of a number.

So the reciprocal of 1/5 is 5/1 = 5.

So 4 ÷ 1/5 = 4 × 5.

So your answer is 5.

hope it was useful!

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3 years ago