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3 years ago

Anyone know? Please help thanks 6th grader here

Mathematics

1 answer:

katen-ka-za [31]3 years ago

7 0

Answer:

The easiest way of calculating discount is, in this case, to multiply the normal price $700 by 30% then divide it by one hundred. So, the discount is equal to $210.

Step-by-step explanation:

$30percent \: of \: 700 \\ 30 \times 700 \div 100$

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Diane made $286 for 13 hours of work,

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8 hours

Step-by-step explanation:

286 divided by 13 is 22

so she's making 22 dollars an hour

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3 years ago

What can you conclude about triangle 2?

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Sarah buys a new car for $26,500 and pays 3% down payment the terms of her loan 4.5% apr over 4 years. How much is her monthly p

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2 years ago

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

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

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

6 0

2 years ago

Read 2 more answers

In square PORS, side PO is parallel to side SR, and side PS is parallel to side QR. The square is reflected across the y-axis an

DiKsa [7]

The square is reflected but the part Ellen sides would remain the same as the starting location.

Side PO would be parallel to side PS. INCORRECT

Side PQ would be parallel to side SR. CORRECT

Side PS would be parallel to side QR. CORRECT

3 0

2 years ago