If the radius is tripped, the volume will increase by 3^3 = 27 times.
Answer: 27 times
<span><span>(<span><span>12</span><span>(<span>3+7</span>)</span></span>)</span><span>(3.5)</span></span><span>=<span><span><span>12</span><span>(<span>3+7</span>)</span></span><span>(3.5)</span></span></span><span>=<span><span><span>12</span><span>(<span>3+7</span>)</span></span><span>(3.5)</span></span></span><span>=<span><span>(<span><span>12</span><span>(10)</span></span>)</span><span>(3.5)</span></span></span><span>=<span><span>(5)</span><span>(3.5)</span></span></span><span>=17.5
</span>
Answer:
The volume of the new crate is exactly 174.4% of the old crate.
Step-by-step explanation:
Volume of a rectangular prism:
The volume of a rectangular prism of dimensions x, y and z is given by:

She decided that the dimensions of the new crate needs to be increased by 40% of the original length.
Each dimension is increased by 40%, which means that each is multiplied by 1 + 0.4 = 1.4. So

Percentage:
The new volume is 2.744 the original volume. Considering the original volume is 100% = 1, it increased by 2.744 - 1 = 1.744 = 1.744*100% = 174.4%.
The volume of the new crate is exactly 174.4% of the old crate.
Answer:
D
Step-by-step explanation:
The formula we need to solve this is:

Where
is the distance from one focus to the vertex
is the second distance from another focus to same vertex
<u>Note:</u> Here, vertex point is the point on top. The common point from which the RED and BLUE line meets the 2 foci
is half the length of the major axis (which is 9 here since total major axis is given as 18)
<em>Now we can plug into the equation and solve:</em>
<em>
</em>
<em />
<em>D is the correct answer.</em>
Answer:
d = 7
Step-by-step explanation:
The nth term of an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Give a₁₀ = 67 and a₁ = 4 , then
a₁ + 9d = 67
4 + 9d = 67 ( subtract 4 from both sides )
9d = 63 ( divide both sides by 9 )
d = 7