Answer:
Percentage increase in volume will be
33.1
%
Step-by-step explanation:
Let the each edge of cube be
100
units.
Then its volume is
100
3
=
1000000
cubic units.
If each edge increases by
10
%
it becomes
110
units
and volume becomes
110
3
=
1331000
cubic units
Therefore increase in volume is
1331000
−
1000000
=
331000
cubic units
and percentage increase in volume is
331000
1000000
×
100
%
=
331
10
%
=
33.1
%
Forgive me but they deleted my answer for it did not have any work to be shown providing you know how to do Algebra you get X= 12 as your outcome. <span />
Answer:
20°
Step-by-step explanation:
One way of doing this is to find the constant of proportionality, k:
8k + 6k + 4k = 90° Then 18k = 90°, and k turns out to be 90/18, or 5.
Then the angles are 8(5), 6(5) and 4(5). The smallest of these angles is thus 20°
Answer:
1 and 17/25
Step-by-step explanation:
First, you make it into a fraction. So because percents are out of 100, it would be 168/100. Then, you take 100 out of it to get a mixed number, 1 and 68/100, and then simplify 68/100 by dividing both sides by the greatest common factor, which is 4. 68/100÷4=17/25. The answer would be 1 and 17/25.
(hope this helps :P)
Squaring a number is the same as multiplying the number by itself <span>(<span><span>64⋅64</span>).</span></span><span> In this case, </span>64<span> squared is </span><span>4096.
</span><span>8<span>r^3</span>−4096+r−8
</span>Subtract 8<span> from </span><span>−4096</span><span> to get </span><span><span>−4104</span>.
</span><span>8<span>r^3</span>−4104+r
</span>Factor<span> the </span>polynomial<span> using the rational </span>roots<span> theorem.
</span><span>(r−8)(8<span>r^2</span>+64r+513)</span>