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3 years ago

Sebuah kubus memiliki volume 1.331 cm³ panjang rusuk kubus adalah

Mathematics

1 answer:

Natali5045456 [20]3 years ago

3 0

Menjawab:

1.1 cm

Penjelasan langkah demi langkah:

Volume kubus, V = a³

Dimana a = panjang sisi kubus

Untuk V = 1.331 cm³

Panjang sisi 'a' adalah:

V = a³

1,331 = a³

Ambil akar pangkat tiga dari kedua sisi

(1,331) ⅓ = a

a = 1,1 cm

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Indicate whether the lines are parallel, perpendicular, or neither. Justify your answer.

sveticcg [70]

Note that when two lines have slopes of m₁ and m₂, then
(i) If m₁ = m₂, then the lines are parallel.
(ii) If m₁*m₂ = -1, then the lines are perpendicular.

Let us evaluate the given lines.
a. y = 4x - 1 and 12x = 3y + 7
y = 4x - 1 => m₁ = 4
Write the second equation in standard form.
3y = 12x - 7
y = 4x - 7/3 => m₂ = 4.
m₁ = m₂.
Answer: PARALLEL

b. x - 7y = 10 and 2x + 14y = 21
In standard form,
7y = x - 10 or y = (1/7)x - 10/7 => m₁ = 1/7
14y = - 2x + 21 or y = -1/7 + 3/2 => m₂ = -1/7
m₁ ≠ m₂ and m₁*m₂ ≠ -1.
Answer: NEITHER

c. 5x + 6y = 18 and 18x - 15y = 36
In standard form,
6y = -5x + 18 or y = -(5/6)x + 3 => m₁ = -5/6
15y = 18x - 36 or y = (6/5)x - 12/5 => m₂ = 6/5
m₁*m₂ = -1
Answer: PERPENDICULAR

d. x =1 and y = 1
x = 1 => m₁ is undefined
y = 1 => m₂ = 0
m₁ ≠ m₂ and m₁*m₂ ≠ -1
Answer: NEITHER

6 0

4 years ago

If 2/3 = x/y, then which of the following must be true?

Kazeer [188]

Correct option is third $\frac{2+3}{3}=\frac{x+y}{y}$

<h3><u>Solution:</u></h3>

Given that:

$\frac{2}{3}=\frac{x}{y}$

Need to check which of the expression from given four expressions will be true.

Let's first try to eliminate wrong options.

If we observe carefully, we can say that option 2 that is $\frac{3}{2}=\frac{x}{y}$ is not correct as $\frac{x}{y}$ must be equal to $\frac{2}{3}$ and not $\frac{3}{2}$

Lets now modify given expression that is:

$\frac{2}{3}=\frac{x}{y}$

On adding 1 to both sides we get

$\frac{2}{3}+1=\frac{x}{y}+1$

$=>\frac{2+3}{3}=\frac{x+y}{y} \text { which is same as third option. }$

Hence correct option is third one that is $\frac{2+3}{3}=\frac{x+y}{y}$

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3 years ago

H(x) = x^3 - 2x<br> g(x) = 3x + 4 Find (h+g)(4)

pashok25 [27]

9514 1404 393

Answer:

Step-by-step explanation:

h(4) = 4^3 -2·4 = 64 -8 = 56

g(4) = 3·4 +4 = 16

Then the sum is ...

(h+g)(4) = h(4) + g(4) = 56 +16

(h+g)(4) = 72

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3 years ago

Find the quotient (line over 42 is repeating)

strojnjashka [21]

The correct answer is: [C]:  " $\frac{21}{11}$ " .
_____________________________________________________

<span>Explanation:
_____________________________________________________
</span>
Let us begin by converting the:
"0.42 (with the "repeating bar on the digits, "42") " ;

into a fraction, as follows:
______________________________________________________
Let x = 0.42424242424242424242424242424242....

100x = 42.42424242424242424242424242424242....
______________________________________________________

100x = 42.42424242424242424242424242424242....
– x = 0.42424242424242424242424242424242...
______________________________________________________
99x = 42.000000000000000000000000000000.... ;

→ 99x = 42 ;

Divide each side of the equation by " 99 " ;
to isolate "x" on one side of the equation; & to solve for "x" ;
______________________________________________________
→ 99x / 99 = 42/99 = (42 ÷ 3) / (99 ÷ 3) = 14/ 33;

→ x = " $\frac{14}{33}$ " .

So; "0.42 (with a repeating bar over the digits, "42" ;

is equal to: " $\frac{14}{33}$ "
________________________________________________
So, rewrite the question/problem being asked:
________________________________________________
"Find the quotient:
________________________________________________
$\frac{14}{33}$ ÷ $\frac{2}{9}$ ;

=   $\frac{14}{33}$ * $\frac{9}{2}$ ;

Note: The "14" cancels to a "7" <span>; and</span> the "2" cancels to a "1" ;
→ {since: " 14 ÷ 2 = 7 " ; and since: " 2 ÷ 2 = 1 "} ;

Note : The "33" cancels to an "11" ; and the "9" cancels to a "3" ;
   → {since: " 33 ÷ 3 = 11 " ; and since: " 9 ÷ 3 = 3 "} ;

And we can rewrite the problem as:
____________________________________________________

" $\frac{7}{11}$ * $\frac{3}{1}$ " ;

= $\frac{(7*3)}{(11*1}$ = $\frac{21}{11}$ ;

→ which is: Answer choice: [C]: " $\frac{21}{11}$ " .
____________________________________________________

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4 years ago

Evaluate the expression when a=3.<br> a^2+12

melomori [17]

$3^{2} + 12 = 9 + 12 = 21$

The answer is 21.

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4 years ago

Read 2 more answers

Sebuah kubus memiliki volume 1.331 cm³ panjang rusuk kubus adalah​

Sebuah kubus memiliki volume 1.331 cm³ panjang rusuk kubus adalah