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EleoNora [17]
3 years ago
14

A solid aluminum cube has sides each of length l . A second cube of the same material has sides four times the length of the fir

st cube, i.E., 4 l . What is the weight of the second cube
Mathematics
1 answer:
timofeeve [1]3 years ago
3 0
The formula to find the volume of cube

cube = s^3

Therefore volume is equal to I^3

The second cube has 4x the First cube

4 × (I^3) = 4 ×I^3

Total volume of the second cube= 4I^3 cm3

Fact: the density(mass ÷ volume) of aluminium is 2.40g/cm3

Making mass the subject of the formula:

D = M ÷ V
(Times volume to remove deno minator)

Mass = Density × Volume

Mass = 2.40 × 4I ^3

Mass = 8.40I^3

By physics

weight= m × g

where
M = mass
g = acceleration due to gravity (= 9.8)

W = 8.40 I^3 × 9.8

Weight of aluminium = 82.32I^3
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Do reflections have the same orientation? In other words, if a shape is reflected, do both figures still have the same orientati
melisa1 [442]

Answer:

I think so.

Step-by-step explanation:

With letters, no, and some shapes would be reversed, like a triangle with lengths that are all different from eachother.

4 0
3 years ago
One triangle on a graph has a vertical side of 7 and a horizontal side of 12.
Alisiya [41]
If you are working out the diagonal line you need to use Pythagoras Theroum: c² = a²+b²

c² = 7²+12² = 193
√c² = c = √193 = 13.89

The length of the diagonal side is 13.89,
Hope this helps! :)
4 0
3 years ago
6. Find the function with x-intercepts (-3,0) and (5,0), which also goes through the point (1,8)
Yakvenalex [24]

Answer:

f(x) = (-1/2)(x^2 + 8x - 15)

Step-by-step explanation:

This function has two roots:  -3 and 5.  Most likely it is a quadratic (all of which have two roots).

Then f(x) = a(x + 3)(x - 5)

The graph goes through (1. 8):  Therefore, y = 8 when x = 1:

f(1) = a(1 + 3)(1 - 5) = 8, or

        a(4)(-4) = 8, or

            -16a = 8, which leads to a = -1/2.

Thus the quadratic in question is f(x) = (-1/2)(x + 3)(x - 5), or

                                                        f(x) = (-1/2)(x^2 + 8x - 15)

4 0
2 years ago
Through: (2,2), parallel to y=x+42)
shtirl [24]

Answer:

y=x

Step-by-step explanation:

We want a line parallel to y =x+42

The slope of y =x+42 is 1

Parallel lines have the same slope

We have the slope m=1 and a point (2,2)

We can use point slope form to write a line

y-y1 = m(x-x1)

y-2 = 1(x-2) point slope form

Changing to slope intercept form

y-2 = x-2

Add 2 to each side

y-2+2 = x-2+2

y=x

3 0
3 years ago
Prior to September, 2000, taxi fares from Washington DC to Maryland were described as follows: $2.00 up to and including 1⁄2 mil
GREYUIT [131]

The piecewise function is

f(x) = 2, 0 < x ≤ 1/2

f(x) = 2 + 0.7x, x > 1/2

<h3>How to determine the piecewise function?</h3>

From the question, we have:

Fares = $2.00 ⇒ up to (and including) 1/2 miles

Fares = $0.70 increment ⇒ greater than 1/2 miles

Let x represent the number of miles, and f(x) the fares.

So, we have:

f(x) = 2, 0 < x ≤ 1/2

f(x) = 2 + 0.7x, x > 1/2

The above represents the piecewise function

Read more about piecewise function at:

brainly.com/question/18859540

#SPJ1

3 0
2 years ago
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