Help Please
2 answers:
You might be interested in
= 1455
generate a few terms of the sequence using = 3n + 2
= ( 3 × 1) + 2 = 5
= (3 × 2) + 2 = 8
= (3 × 3 ) + 2 = 11
= (3 × 4 ) + 2 = 14
= ( 3 × 5 ) + 2 = 17
the terms are 5, 8, 11, 14, 17
these are the terms of an arithmetic sequence
sum to n terms is calculated using =
[ 2a + (n-1)d]
where a is the first term and d the common difference
d = 8 - 5 = 11 - 8 = 14 - 11 = 3 and = 5
=
[( 2 × 5) + (29 × 3) ]
= 15( 10 + 87) = 15 × 97 = 1455
The area of the trapezoid will be 32.5 square feet. Then the volume of the geometry will be 341.25 cubic feet.
<h3>What is Geometry?</h3>It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
The figure is shown.
Then the volume of the given geometry will be
Volume = Area of the trapezoid × Height
Then the area of the trapezoid will be
Then the volume of the geometry will be
Volume = 32.5 × 10.5
Volume = 341.25 cubic ft.
More about the geometry link is given below.
#SPJ1
Answer:
The system of equation is and
.
There are 16 men who are attended the meeting.
Step-by-step explanation:
Given,
Total number of teachers = 53
Solution,
Let the total number of women teachers be 'w'.
And also let the total number of men teachers be 'm'.
So, total number of teachers is the sum of total number of women teachers and total number of men teachers.
This can be framed in equation form as;
The system of equation is .
Now according to question,
The number of women attending was 5 more than twice the number of men attending the meeting.
So this can be framed in equation form as;
Now we insert the value of w from equation 2 in equation 1, we get;
Now we solve for 'w';
Hence there are 16 men who attended the meeting.
And also there are 37 women who attended the meeting.