Answer:
correct answer is b
Step-by-step explanation:
Answer:
7 groups, 3 boys and 8 girls
Step-by-step explanation:
Let total number of groups be 
and total hikers in one group be 
if number of girls and boys in every group is same, then

....(1)
from (1)
will either be 11 or 7
for
the values won't be real.
For 
so there will be 7 groups with 11 hikers in each groups and every group will have
boys and
girls
Answer:
AN = 16 units
Step-by-step explanation:
So we can use the fact that 
- Since this is an isosceles triangle, segments FO and FR are both equal to 7
Manipulating the equation above to solve for AN we have 
- Substituting in the known values we have

Answer:
The graph in the attached figure
Step-by-step explanation:
we have
----> inequality A
solve for y


The solution of the inequality A is the shaded area above the dashed line
The slope of the dashed line is positive
The y-intercept is the point 
The x-intercept is the point 
----> inequality B
The solution of the inequality B is the shaded area below the dashed line
The slope of the dashed line is positive
The y-intercept is the point 
The x-intercept is the point 
Using a graphing tool
The solution of the system of inequalities in the attached figure
Answer:
V = 34,13*π cubic units
Step-by-step explanation: See Annex
We find the common points of the two curves, solving the system of equations:
y² = 2*x x = 2*y ⇒ y = x/2
(x/2)² = 2*x
x²/4 = 2*x
x = 2*4 x = 8 and y = 8/2 y = 4
Then point P ( 8 ; 4 )
The other point Q is Q ( 0; 0)
From these two points, we get the integration limits for dy ( 0 , 4 )are the integration limits.
Now with the help of geogebra we have: In the annex segment ABCD is dy then
V = π *∫₀⁴ (R² - r² ) *dy = π *∫₀⁴ (2*y)² - (y²/2)² dy = π * ∫₀⁴ [(4y²) - y⁴/4 ] dy
V = π * [(4/3)y³ - (1/20)y⁵] |₀⁴
V = π * [ (4/3)*4³ - 0 - 1/20)*1024 + 0 )
V = π * [256/3 - 51,20]
V = 34,13*π cubic units