Answer:
There are 25 chickens and 20 rabbits
Step-by-step explanation:
Let
x-----> the number of chickens
y ----> the number of rabbits
Remember that
1 chicken has two legs
1 rabbit has four legs
so
2x+4y=130 -------> equation A
x=y+5 -----> equation B
Substitute equation B in equation A and solve for y
2(y+5)+4y=130
2y+10+4y=130
6y=120
y=20 rabbits
Find the value of x
x=y+5
x=20+5=25 chickens
Answer:
The coordinate of point B is (4, 8.25)
Step-by-step explanation:
Here, we want to find the coordinates of point B
To do this, we are to use the section internal division formula as follows;
(x,y) = (nx1 + mx2)/(m + n) , (ny1 + my2)/(m + n)
In this case;
(x1,y1) = (2,6)
(x2,y2) = (5,9)
(m,n) = (3,1)
Substituting these values into the section formula, we have;
(x,y) = (1(1) + 3(5))/(1 + 3) , (1(6) + 3(9))/3 + 1)
(x,y) = (16/4, 33/4)
(x,y) = (4,8.25)
Answer:
(0, 0), (4, 0), (4, -5)
Step-by-step explanation:
This one keeps the same lengths of the previous triangle. It also keeps the same proportions (or something) etc, etc. I solved this problem by graphing and seeing which one fit best.
Answer:
the answer is D
Step-by-step explanation:
Answer:
The volume of the toy is 
Step-by-step explanation:
step 1
Find the volume of the hemisphere
The volume of the hemisphere is given by the formula

In this problem, the wide of the toy is equal to the diameter of the hemisphere
so

----> the radius is half the diameter
substitute

step 2
Find the volume of the cone
The volume of the cone is given by

we know that
The radius of the cone is the same that the radius of the hemisphere
so

The height of the cone is equal to subtract the radius of the hemisphere from the height of the toy

substitute the given values

step 3
Find the volume of the toy
we know that
The volume of the toy, is equal to the volume of the cone plus the volume of the hemisphere.
so


assume

