see the attached figure to better understand the problem
we know that
The equilateral triangle has three equal sides
so
in the equilateral triangle ABC

the height of the triangle is the segment BD
in the right triangle BCD
Applying the Pythagorean Theorem

solve for BD

substitute the values



therefore
<u>the answer is</u>
the height of the triangle is 
Answer: there are 5 more girls than boys.
Step-by-step explanation:
The ratio of boys to girls in a classroom is 5:6. The total ratio is the sum of the proportion. It becomes 5 + 6 = 11
If there are 55 students in total, it means that the number of boys in the class is
5/11 × 55 = 25 boys
Also, the number of girls in the class is
6/11 × 55 = 30 girls
Therefore, the difference between the number of girls and boys in the class is
30 - 25 = 5 girls
Thirteen plus seven is twenty. One fourth of twenty is five.
The answer is five.
Step-by-step explanation:
Since we have a vertical directrix, the equation of the parabola is

Where p is the distance from the vertex to the directrix.
or the distance from the vertex to the focus.
Since we have a sideways parabola, let use the point for the directrix is (-6,0). So let find the midpoint of (-6,0) and (6,0). That would be our vertex.


So our vertex is (0,0).
So our equation become

The distance from the focus and directrix is 6.
So p=6.

So p is 6.
Since p is 6,
