Given:
A(16, 4)
B(34, 40)
Line segment AB partition in the ratio 1 : 5.
To find:
The coordinate of a point that partitions AB.
Solution:
Section formula:

Here
and m = 1, n = 5




The coordinate of point that partitions the segment AB is (19, 10).
Answer:
1. 1.96 g/L
2. 1 g/cm³
Step-by-step explanation:
Density is found by dividing mass by volume: d = m/v.
1.
We know that the mass is 0.196 grams, while the volume is 100 mL.
Converting the volume to liters, we get:
100 mL = 0.1 L
Then, applying our density formula:
d = m/v
d = 0.196 g / 0.1 L = 1.96 g/L
2.
Here, we know that the mass is 27 grams. However, we don't know the volume, which we need to find.
The block of wood is 3 cm on all sides, which means it's a cube. The volume of a cube is denoted by V = s³, where s is the side length. Here, s = 3, so V = s³ = 3³ = 27 cm³.
Applying our density formula gives:
d = m/v
d = 27 g / 27 cm³ = 1 g/cm³
<em>~ an aesthetics lover</em>
1/2 is the probability the coin would land heads up both times.
Answer:
The dimension of the open rectangular box is
.
The volume of the box is 8.217 cubic inches.
Step-by-step explanation:
Given : The open rectangular box of maximum volume that can be made from a sheet of cardboard 11 in. by 7 in. by cutting congruent squares from the corners and folding up the sides.
To find : The dimensions and the volume of the open rectangular box ?
Solution :
Let the height be 'x'.
The length of the box is '11-2x'.
The breadth of the box is '7-2x'.
The volume of the box is 


Derivate w.r.t x,


The critical point when V'(x)=0

Solve by quadratic formula,


Derivate again w.r.t x,

Now,
(+ve)
(-ve)
So, there is maximum at x=1.392.
The length of the box is 

The breadth of the box is 

The height of the box is h=1.392.
The dimension of the open rectangular box is
.
The volume of the box is 


The volume of the box is 8.217 cubic inches.
Answer:
Peanutbutter 44%
Chocolate chip 22%
Step-by-step explanation: