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3 years ago

What’s the correct name for that line?

Mathematics

1 answer:

eimsori [14]3 years ago

8 0

GM, because when naming a line, you go from left to right just like how we read.

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Any help would be appreciated ❤ ❤ Thank you

Paladinen [302]

The solid shape is a cone and a half sphere. So the equation would be (cone volume) + (1/2 sphere volume):
$cone = \frac{1}{3} \pi {r}^{2} h \\ sphere = \frac{4}{3} \pi {r}^{3} \\ object = ( \frac{1}{3} \pi {r}^{2} h) + \frac{1}{2} ( \frac{4}{3} \pi {r}^{3} )$
If the volume of the cone is 270pi and the height of the cone is 10, then:
$270\pi = \frac{1}{3} \pi {r}^{2} (10) \\ 27 = \frac{1}{3} {r}^{2} \\ 80 = {r}^{2} \\ r = 9$
The radius of the object is 9 cm. Therefore, we can plug into the formula for the total volume:
$object = 270\pi + \frac{1}{2} ( \frac{4}{3} \pi {(9)}^{3} ) \\ = 270\pi + \frac{2}{3} (729\pi) \\ = 270\pi \: + 243\pi \\ = 513\pi$
The total volume is 513 pi cm^3

7 0

3 years ago

Simplify the expression

Stolb23 [73]

Answer:

A. ${x}^{3} - x - \frac{6}{2x + 3}$

Step-by-step explanation:

$\frac{2 {x}^{4} + 3 {x}^{3} - 2 {x}^{2} - 3x - 6}{2x + 3} \\ \\ = \frac{(2 {x}^{4} + 3 {x}^{3} ) - (2 {x}^{2} + 3x) - 6}{2x + 3} \\ \\ = \frac{ {x}^{3} (2 {x} + 3 ) - x(2 {x} + 3) - 6}{2x + 3} \\ \\ = \frac{ {x}^{3} (2x + 3)}{2x + 3} - \frac{x(2x + 3)}{2x + 3} - \frac{6}{2x + 3} \\ \\ \purple { \bold{= {x}^{3} - x - \frac{6}{2x + 3} }}$

8 0

2 years ago

Simplify (4^2)^5<br> ^ = exponent please help will award the Brainlyest

Marrrta [24]

Answer:

Step-by-step explanation:

Here you go mate'

step 1

(4^2)^5 equation

step 2

(4^2)^5 multiply the equation 5 times

(4^2)(4^2)(4^2)(4^2)(4^2)

step 3

(4^2)(4^2)(4^2)(4^2)(4^2) solve

4^10

answer

4^10=1048576

3 0

2 years ago

Find the values of x and y

valentina_108 [34]

Answer:

x = 3, y = 1

Step-by-step explanation:

2 raised to what power gives you 16?

2*2*2*2 = 16 so 2^4

3 raised to what power gives you 9?

3*3 = 9 so 3^2

the exponent cannot be negative so x has to be greater than y and x cannot be the same as y otherwise you will get a 0.

x = 3 , y = 1

2^(3+1) = 2^4 = 16

3^(3-1) = 3^2 = 9

7 0

2 years ago

Read 2 more answers

What is 1423 divided bye 789

DedPeter [7]

Answer:

1.8

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers