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3 years ago

Absolute value negative 4

Mathematics

2 answers:

svet-max [94.6K]3 years ago

7 0

Answer:

Step-by-step explanation:

absolute value, if it's a negative number, will be positive. if it's a positive number, it will stay positive.

Alex73 [517]3 years ago

7 0

Answer:

My guess 4

Step-by-step explanation:

i used to do this stuff but i thinks its 4

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2. Given: mZABD = rº and mZACB = yo

Ede4ka [16]

Step-by-step explanation:

the angle ABC = 180 - x, as ABD and ABC are complementary angles on top of the bottom line : all angles around a point on one side of a line are always adding up to 180 degrees.

but because we also know that the sum of all angles in a triangle is 180 degrees too, we can say

180 = ACB + ABC + CAB

180 = y + 180 - x + CAB

0 = y - x + CAB

x = y + CAB

x - y = CAB

therefore, the second answer option is correct.

3 0

2 years ago

|5| |-6|=5 |-6|= =5 6 =11

RoseWind [281]

Hello,

Here in Europe, we know a nice sign"+" which means addition !!!!!!!

|5|=5
|-6|=6

|5|+|-6|=5+6=11

4 0

3 years ago

Let

kramer

I think when you copied and pasted your question it re arranged itself

3 0

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

A basketball hoop has a circumference of 56.5 cm.what is its diameter

Bingel [31]

It's diameter is 17.98. (I'm pretty sure I'm right I even used a calculator, if not sorry)

4 0

3 years ago

Read 2 more answers

Absolute value negative 4 ​

Absolute value negative 4