Which expression is equivalent to 364ab7c9?

Find x, use pic for more info

Bogdan [553]

Answer:

d

Step-by-step explanation:

6 0

3 years ago

Which equation represents a line which is perpendicular to the line y = 3x – 8?

svetoff [14.1K]

It’s wing and Mac and orange

7 0

3 years ago

Read 2 more answers

Two and two fifths divided by one and a half

worty [1.4K]

Answer:

8/5 or 1 3/5

Step-by-step explanation:

2 2/5 = 12/5

1 1/2 = 3/2

Now that we have fractions that are easier to divide, one must understand that the opposite of dividing is multiplying. So if you multiply 12/5 by the reciprocal* of 3/2, which would be 2/3, you would get your answer so...

12 3 12 2 24 8 3

— ÷ — = — × — = — = — or 1 —

5 2 5 3 15 5 5

*the reciprocal is the opposite of the fraction you have. So the denominator would become the numerator, and vise versa.

6 0

3 years ago

£35.50 for the first day then £18.25 for each extra day the total cost of hiring the machine was £ 163.25 how many day dose Mart

BabaBlast [244]

y = number of days
35.50 + 18.25 y = 163.25

18.25 y = 163.25 - 35.50

18.25y = 127.75

y = 127.75 / 18.25

y = 7

so Martin has hired the machine for 8 days

( first day paid 35.50), then 7 days for 18.25

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

Which expression is equivalent to 364ab7c9?​

Which expression is equivalent to 364ab7c9?