Ask question

Ask question

All categories

3 years ago

11

The volume of a cube is 343mm3. What is the length of its side?

2 answers:

stiv31 [10]3 years ago

5 0

Answer:

Step-by-step explanation:

s is the length of each side of the cube

volume = s³

343 = s³

s = ∛343 = 7 mm

Sergio039 [100]3 years ago

4 0

Answer:

volume of cube=343 cm³

l³=343

l=

$\sqrt[3]{343}$

l=7mm

You might be interested in

What are the correct answers and why? Simple and concise explanation please!!!

dezoksy [38]

Answer:

$\large\boxed{-\bigg[(x-3)^2+2x\bigg]+1}\\\\\boxed{-x^2+4x-8}$

Step-by-step explanation:

$(g\ \circ\ f)(x)=g\bigg(f(x)\bigg)$

$f(x)=(x-3)^2+2x\\\\g(x)=-x+1\\\\g\ \circ\ f\to\text{put f(x) instead of x in the function g(x)}:\\\\(g\ \circ\ f)(x)=-\bigg[\underbrace{(x-3)^2+2x}_{x}\bigg]+1$

-----------------------------------------

$-\bigg[(x-3)^2+2x\bigg]+1=-(x-3)^2-2x+1\\\\\text{use}\ (a-b)^2=a^2-2ab+b^2\\\\=-(x^2-(2)(x)(3)+3^2)-2x+1=-(x^2-6x+9)-2x+1\\\\=-x^2-(-6x)-9-2x+1=-x^2+6x-9-2x+1\\\\\text{combine like terms}\\\\=-x^2+(6x-2x)+(-9+1)=-x^2+4x-8$

-----------------------------------

$-x^2+4x-8=-x^2+4x-2^2+2^2-8=-(x^2-4x+2^2)+4-8\\\\=-(\underbrace{x^2-(2)(x)(2)+2^2}_{(a-b)^2=a^2-2ab+b^2})-4=-(x-2)^2-4=-(x+1-3)^2-4$

$In\ (-x+1-3)^2+2x,\ x^2\ will\ be\ positive.\\In\ (-x+1-3)^2+2(-x+1),\ x^2\ will\ be\ positive.$

6 0

2 years ago

Read 2 more answers

What is the area of the regular hexagon ABCEF? Explain your reasoning.

Reil [10]

Answer:

1350 $\sqrt{3}$ units²

Step-by-step explanation:

The regular hexagon consists of 6 equiangular triangles

The area (A) of a equilateral triangle is calculated as

A = $\frac{s^2\sqrt{3} }{4}$ ( s is the side length )

Here s = 30 , then

A = $\frac{30^2\sqrt{3} }{4}$ = $\frac{900\sqrt{3} }{4}$ = 225 $\sqrt{3}$ units²

Thus the area of the regular hexagon is

area = 6 × 225 $\sqrt{3}$

= 1350 $\sqrt{3}$ units² ← exact value

≈ 2338.3 units² ( to 1 dec. place )

4 0

2 years ago

I hate people who answer questions like this:

fiasKO [112]

Answer:

Oh wow

Step-by-step explanation:

Nice opinion xD

6 0

3 years ago

Lindsey earns 5% commission off all sales in the clothing boutique she works at. If a customer bought $124.50 in merchandise, ho

goldenfox [79]

Answer:

Choice C: 6.23

Step-by-step explanation:

$\frac{5}{100}$ = $\frac{x}{124.50}$ -----> cross multiply

5(124.50) = 100x

622.5 = 100x

$\frac{622.5}{100} = \frac{100x}{100}$

6.225 = x

6.225 rounded to the nearest hundredth is 6.23

She earned 6.23 commission.

4 0

2 years ago

I need answer for a and b show your work

Stels [109]

I have two methods for you

7 0

3 years ago