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3 years ago

What is the volume of a cube with 1/2 inch sides

2 answers:

Studentka2010 [4]3 years ago

5 0

What is the formula for calculating the volume of a cube?

V = s x s x s where s = the length of a side

V = .5 x.5 x.5 = .125

IRISSAK [1]3 years ago

4 0

Answer:

Volume of a cube(V) is equal to side times side times side. i.e

$V=s\times s\times s = s^3$ cubic unit ; where s represents the side.

Since each side of a square is the same then, it can simply be the length of one side cubed.

Given:

The side of cube(s) = $\frac{1}{2}$ inch

then,

by the definition of volume of cube;

$V= s \times s \times s$

Substitute the value of s in above formula;

$V =\frac{1}{2} \times \frac{1}{2} \times \frac{1}{2}$ = $\frac{1}{2 \times 2 \times 2}$ = $\frac{1}{8}$ cubic inches

therefore, the volume of cube is, $\frac{1}{8}$ = 0.125 cubic inches.

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Manny bought a brand new car for $29,750. The car depreciates in value by 12% each year. Find the value of the car after 6 years

Arte-miy333 [17]

Answer: $13,846.02

Step-by-step explanation:

The car cost $29,750 when it was first bought.

It will then depreciate at a rate of 12% per year. This means that the value of the car reduces by 12% per year.

To find the value of the car in the 6th year, you can use the compound interest formula:

= Value of car * ( 1 - rate) ^ no. of years

= 29,750 * ( 1 - 12%)⁶

= ‭13,816.021581824‬

= $13,846.02

6 0

2 years ago

The two triangleshaped gardens are congruent. Find all of the missing side lengths and angle measures. Show any necessary work

pantera1 [17]

The two figures are in the file attached.

Congruency means that all the respcetive sides and angles are equals.

Then, the three angles are :

y = 38°

x = 90°

w = 180° - 90° - 38° = 52

The three sides are:

z= 10yd
v= 7.9yd
u=6.2yd

You have all the measures as a function of yd, but you do not have any information about yd, then it is not possible to find the real lenghts.

All you can tell is that the sides obey Pythagoream theorem:

u^2 + v^2 = z^2

But that is not enough to find one side, because you do not know any of them.

For example if you apply Pytagorean theorem you cand do"

(7.9yd)^2 + (6.2)^2 = (10yd)^2

but that cannot be solved for yd, because they are factors of all the terms in both sides, which mean that they cancel to obtain:

(7.9)^2 + (6.2)^2 = (10)^2, which is not any new information.

Also you can think about sine theorem, but it does not help, because you also need one side.

Then you only can tell the missing angles, as I have shown, but not the misssing lengths.

Download docx

8 0

2 years ago

Please help! will give brainliest:)

Lorico [155]

Answer

1) x = 8

2) x = 1/3y + -5/3z

3) x = -1/2y + -3/4z + -1/2

Hope this helps:))

7 0

2 years ago

The yield of orange trees is reduced if they are planted too close together. If there are 30 trees per acre, each tree produces

Tanya [424]

Answer:

5 more than 30 trees should be planted, for a total of 40 trees per acre.

Step-by-step explanation:

Let x be the number of trees beyond 30 that are planted on the acre

The number of oranges produced = Oranges(x) = (number of trees) (yield per tree)

We are given that For each additional tree in the acre, the yield is reduced by 7 oranges per tree

So, number of oranges produced = $(30 + x)(400 -10x)$

= $12000 -300x+400x-10x^2$

= $12000 + 100x-10x^2$

The derivative Oranges'(x) = 100-20x

Substitute first derivative equals to 0

$100-20x =0$

$x=5$

Using the second derivative test,

Oranges"(x) = -20

20 is negative,

So, this is the case of maximum.

Thus, 5 more than 30 trees should be planted, for a total of 40 trees per acre.

4 0

3 years ago

Olve the two-step equation and identify the steps. 2 = − 7 4 + 1 4 x

saul85 [17]

Answer:

x = 5.142

Step-by-step explanation:

2=-74+14x

if you want to make x the subject (work out its value), you need to single out x

1) the first thing that we can do is get rid of the -74

2) do this by adding it on to both sides of the equation. This is called the inverse

2+-74=-72 -74+14x=14x

-72=14x

3) to get x on its own, we now need to get rid of the 14

REMEMBER: 14x = 14×x

4) We do the inverse by dividing both sides by 14

-72÷14=-5.142...

its surprising that its not an integer

5.142=x

x=5.142

PLEASE LET ME KNOW IF THIS IS CORRECT

6 0

3 years ago