For a better understanding of the answer given here, please go through the diagram in the attached file.
The diagram assumes that the base of the hexagonal pyramid is an exact fit (has same dimensions as the face of the hexagonal prism).
As can be seen from the diagram, the common vertices are A,B,C,D,E,F which are 6 in number.
The bottom vertices are G,H,I,J,K,L, which, again are 6 in number.
The Apex of the pyramid, P is one more vertex.
Thus, the total number of vertices in a Hexagonal pyramid is located on top of a hexagonal prism will be the sum of all these vertices and thus will be:
6+6+1=13
The value of 300 is divided into 120 and 180 in the ratio of 2:3.
<u>Step-by-step explanation</u>:
- The total value is 300.
- This total of 300 should be divide in the ratio of 2:3.
Let us assume that the common factor be x in the ratio.
- The value of the part A is 2x.
- The value of the part B is 3x.
It is known that, 2x + 3x = 300
⇒ 5x = 300
⇒ x = 300/5
⇒ x =60.
<u>To find the values of A and B :</u>
A= 2x
⇒ 2(60)
⇒ 120
B= 3x
⇒ 3(60)
⇒ 180
The value of 300 is divided into 120 and 180 in the ratio of 2:3.
one expression using a variable for the unknown is... x = (3)(6/4)
Answer:
Step-by-step explanation:
<h3>The first line</h3>
- Line x - y > 5 ⇒ y < x - 5
<u>This line has positive slope and the y-intercept is -5, shaded area is below the line, covers the areas:</u>
<h3>The second line</h3>
- Line x + 2y < -6 ⇒ 2y < - x - 6 ⇒ y < -1/2x - 3
<u>This line has negative slope and the y-intercept is -3, shaded are is below the line, covers the areas:</u>
<u>Solution of the system is the intersection of the areas:</u>
Answer:
29.7cm²
Step-by-step explanation:
The area of the shaded region = area of rectangle - area of circle
Area of rectangle:
A=lw
=7*5
=35cm²
Diameter of circle is 2.6cm. Radius is half diameter: 2.6/2=1.3cm
Area of circle:
A=πr²
=(3.14)(1.3²)
=5.3066cm²
35 - 5.3066 = 29.6934cm²
