Answer:
80 and 96
Step-by-step explanation:
80 and 96
Answer:
35 quizzes
Step-by-step explanation:
We need to determine how many ways we can choose 4 questions out of 7 to make the quizzes.
We do this by using the formula
which describes the number of ways we can choose
objects given
possible choices. So, if
and
, then:

Hence, the teacher can make 35 different geometry quizzes.
Answer:
It would be 34.43631578 but you can just say 34.4
Step-by-step explanation:
The total area of pyramid is 113.569 square units
The equation to find the total area of the pyramid is Total area = base area + lateral area.
<u>Solution:</u>
Given, A pyramid has a regular hexagonal base with side lengths of 4 and a slant height of 6.
<em><u>The total area of pyramid is given by:</u></em>
---- eqn 1
Where,

<em><u>The area of base is given as:</u></em>

Where "l" is the side of hexagon.
Substituting we get,

<em><u>The lateral area is given as:</u></em>

Where,
b: base of the triangle
h: height of the triangle
Substituting we get,

Plugging in the values we found in eqn 1 we get,

A = 113.569 square units
<em><u>Summarizing the results:</u></em>
The total area of pyramid is 113.569 square units approximately
The equation used to find total area of pyramid is Total area = base area + lateral area.