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4 years ago

Use an area model to solve the equation 391 × 41=

Mathematics

2 answers:

Ad libitum [116K]4 years ago

8 0

The answer is 16,031.

Hope this helps! ;)

Ipatiy [6.2K]4 years ago

7 0

I dont know about the area model but answer is 16,031.

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If Matrix A is 5 x 2 and Matrix B is 3 x 5, then Matrix BA is 5 x 5.

Pie

Answer:

Correct, 25.

Step-by-step explanation:

8 0

3 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

Program X has an annual cost of $35000, and, in return, is expected to save Company C $40,000 during the first year. Assuming th

Nastasia [14]

For the answer to the question above,
The program has an annual cost of $35,000 and will generate $40,000 savings the first year.

$35,000 / $40,000 = .875
.875 x 12 months = 10.5 months
I hope my answer helped you. Feel free to ask more questions Have a nice day!

4 0

3 years ago

A physician orders 0.5oz of magnesia and alumina oral suspension antacid 4 times per day for a client with indigestion.how many

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1 fl oz. is equivalent to 29.6 ml.
0.5 * 4 * 29.6 = 59.2 ml

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3 years ago

What is the vertex of -x^2-6x-11?

professor190 [17]

the answer to this is (3,-2)

6 0

3 years ago