The volume of a cube is 512 cm3 . What is the area, in square centimetres, of each side of the cube?

[tex](\stackrel{x_1}{-7}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{-21}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-21}-\stackrel{y1}{5}}}{\underset{run} {\underset{x_2}{6}-\underset{x_1}{(-7)}}}\implies \cfrac{-26}{6+7}\implies \cfrac{-26}{13}\implies -2[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{5}=\stackrel{m}{-2}(x-\stackrel{x_1}{(-7)}) \\\\\\ y-5=-2(x+7)\implies y-5=-2x-14\implies y=-2x-9[/tex]

Let's solve

in ∆GNK

Apply pythagorean theorem

[tex]\\ \sf\longmapsto NK^2=GN^2-GK^2=130^2-47^2=16900-2209=14691[/tex]

[tex]\\ \sf\longmapsto NK=\sqrt{14691}[/tex]

[tex]\\ \sf\longmapsto NK=121(Approx)[/tex]

If you observe the traingle

[tex]\\ \sf\longmapsto LJ^2=JN^2-LN^2[/tex]

[tex]\\ \sf\longmapsto LJ^2=130^2-78^2[/tex]

[tex]\\ \sf\longmapsto LJ^2=16900-6084[/tex]

[tex]\\ \sf\longmapsto LJ^2=10816[/tex]

[tex]\\ \sf\longmapsto LJ=\sqrt{10816}[/tex]

[tex]\\ \sf\longmapsto LJ=104[/tex]

So

in ∆HNL

[tex]\\ \sf\longmapsto HN^2=104^2+78^2[/tex]

[tex]\\ \sf\longmapsto HN^2=10816+6084[/tex]

[tex]\\ \sf\longmapsto HN^2=16900[/tex]

[tex]\\ \sf\longmapsto HN=\sqrt{16900}[/tex]

[tex]\\ \sf\longmapsto HN=130[/tex]

Done .

Answer:

4(-7+ (1))

Step-by-step explanation:

Answer:

The angles are 53° and 127°.

Step-by-step explanation:

Supplementary angles add up to 180°. So now that we know that, we must now use algebra.

I will use x and x-74 in my equation.

So the equation:

x+x-74=180.

=2x-74=180

2x=180+74

2x=254

x=127​°

So the other angle is 127-74=53

The angles are 53 and 127.

Answer: true

Step-by-step explanation:

Answer:

1.80

Step-by-step explanation:

i think

Answer:

first off you were gifted a cruddy cheap  laptop that was "free"

yo can  sell it for around 900$ at a pawn shop and that high balling the price

Answer:

3 rd choice

Step-by-step explanation:

perimeter = sum of all sides

= 6v+2+6v+5+3w-2= 12v+3w+5

Answer:

Area = length x width. Solution : Area = 5 x 10. Area = 50 in². Area & Perimeter of a Rectangle calculator uses length and width of a rectangle, and calculates the perimeter, area and diagonal length of the rectangle. It is an online Geometry tool requires two length sides of a rectangle.

Step-by-step explanation:

Answer:

308

Step-by-step explanation:

i used my calculator and got 308

Answer:

15 is 60% of 25

Step-by-step explanation:

Hope it helps and have a great day! =D

~sunshine~

Answer:

x ≤ 2

Step-by-step explanation:

Answer:

x = 34

y = [tex]51\sqrt{3}[/tex]

Step-by-step explanation:

[tex]sin30=\frac{17}{y}[/tex]

[tex]y=\frac{17}{sin30} =\frac{17}{.5} =34[/tex]

[tex]tan30=\frac{17}{x}[/tex]

[tex]x=\frac{17}{tan30} =\frac{17}{\frac{\sqrt{3} }{3} } =(17)(3)\sqrt{3} =51\sqrt{3}[/tex]

Hope this helps

Answer:

78.54 ft^2

Step-by-step explanation:

The area of a circle is pi*r^2

R is the radius, which is half the diameter, so 5.

5^2 is 25, and that times pi is about 78. 54. Because this is feet and area is squared, our unit is ft^2

Hope this helps!

0.75 miles in 12 minutes

0.75 * 5 miles in one hour

15 / 4 miles in an hour

she walked at 3.75 mph

this assumes she walks at the same pace for the whole time

please give brainliest

Answer:

1.2/2

Step-by-step explanation:

If the probability is 0.6 to make one of 2 then you just add those together getting 1.2

Answer: C.

Step-by-step explanation:

The 2 in the numerator should be –2.

In the queston given, we have a quadratic equation which we are asked to solve only with quadratic formula. The solution of the equation are 1 and 3/2

Data;

Quadratic formula is used to solve quadratic equations and it is given as

[tex]x = \frac{-b +- \sqrt{b^2 - 4ac} }{2a}[/tex]

Let's substitute the values and solve the quadratic equation.

[tex]x = \frac{-b +- \sqrt{b^2 - 4ac} }{2a}\\x = \frac{-5 +- \sqrt{5^2 - 4*(-2)*(-3)} }{2*(-2)} \\x = \frac{-5+-\sqrt{25-24} }{-4} \\x = \frac{-5+- \sqrt{1} }{-4} \\x = \frac{-5+1}{-4} \\x= \frac{-4}{-4} = 1\\or\\x = \frac{-5-1}{-4} \\x = \frac{3}{2}[/tex]

From the calculations above, the solutions to this equation are 1 or 3/2

Learn more on quadratic formula here;

https://brainly.com/question/8649555

Answer:

C

Step-by-step explanation:

| x | > 10

Has solutions that go infinitely high to the right and infinitely low to the left on the number line.

That is x > 10 or x < - 10

This is indicated on Graph C

Answer:

[tex]y=\frac{2}{3}x+3[/tex]

Step-by-step explanation:

[tex]3y-2x=9\\\\3y=2x+9\\\\y=\frac{2}{3}x+3[/tex]

Answer:

Middle school      High school

93%          36%

31%           54%

Step-by-step explanation:

this is over 100% btw

Answer:

replace the value of x but x cannot be 0 or a negative number

Step-by-step explanation:

for example:

replace x with 1===> y will be =0 cuz ln(1) = 0

replace x with 2==> y will be = 0.7 cuz ln(2)= 0.7

replace x with 3==> y will be = 1.1 cuz ln(3)= 1.1

replace x with 4==> y will be =  1.4 cuz ln(4)= 1.4

but the graph of ln(x) is famous

check it on the web

Answer:

1 - 1/x

Step-by-step explanation:

1 - 1/x

Answer:

1 - 1/X

Step-by-step explanation:

Quotient of A and B can be expressed as

A/B

Hence, the expression is
1 - 1/X

Radius of 1 solid iron sphere =r

→ Volume =34πr3

→ Volume of 27 solid iron

spheres =27x34πr3

→ 34πr'3=27x34πr3

r'3=2πr3

→r'=3r

(ii) Surface area =4+πr2

SA r'=4πr'2

=4π(3r)2=36πr2

S'S=36πr24πr2=91=1:9

Answer:

i have the answer

Step-by-step explanation:

Answer:

The answer is J, 3x.

Step-by-step explanation:

Hi. I will help. Work is shown below.

x grapefruit = $4

y grapefruit = $12

How do we get from 4 to 12? We multiply by 3. Since we multiply by 3 on one side, we have to do the same to the other side, so 3 times x. That's 3x. Therefore, the answer is 3x.

Please mark brainliest if possible and i hope you get a good grade on your homework ;)

Answer:

Step-by-step explanation:

[tex]38-25-8*4\\\\38-25-32\\\\=-19[/tex]

[tex]38-25-8 * 4[/tex]

[tex]13 - (8*4)[/tex]

[tex]13 - 32[/tex]

[tex] - 19[/tex]

Answer:

5. 3,2 is not | 0,1 is | 9,-1 is not | 6,-2 is | 5,0 is not

6. The line is gonna be y= 1/3 - 2

Step-by-step explanation:

For 5 just plug in the numbers for x and y.