Answer:
We can find the surface area of any pyramid by adding up the areas of its lateral faces and its base.
Surface area of any pyramid = area of base + area of each of the lateral faces
Example:A=lw+l(w2)2+h2+w(l2)2+h2=3·2+3·(2
2)2+82+2·(3
2)2+82≈46.46559
Step-by-step explanation:
Answer:

Step-by-step explanation:
Given
The initial lower left corner of the square at:

Required
Its new position after 5 units left and 7 units right translations
When a point is translated to the left by a units, the rule is:

In this case:

So:


<em>So, the new point is: (-5,0)</em>
When a point is translated to the right by b units, the rule is:

In this case:

So:


<u><em>So, the new point is: (2,0)</em></u>
Answer:
The slant height of the cone affected is two times the slant height of original cone
Step-by-step explanation:
we know that
If the height and base radius of a cone are increased by a factor of
to create a similar cone
then
the scale factor is equal to 
therefore
the slant height of the cone affected is equal to the slant height of the original cone multiplied by the scale factor
Find the slant height of the original cone
Let
l-----> slant height of original cone
la-----> slant height of the cone affected
Applying the Pythagoras theorem

so


The slant height of the cone affected is two times the slant height of original cone
Answer:

Step-by-step explanation:
Given

Required
Find equivalent between 0 to 180;
Let 24 be represented by 
So, 
From Trigonometry ratios;
where 
Recall that 
So, we have to substitute 24 for
in the above expression.
This gives

Subtract 24 from 180

Hence, the equivalent of
is 
Answer:
the second bottle
Step-by-step explanation:
32÷80=0.4 - so it has 40% water
48÷64=0.75 which means it has 75% water