What pairs of polygons are congruent

Answers

Answer 1

Answer: They are congruent because when they have the same number of sides, and all corresponding sides and Interior angles are congruent. They can have the same size and shape, but on image can be mirrored or rotated and it always remain congruent :)

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An automobile engineer is redesigning a conical chamber that was originally specified to be 12 inches long with a circular base of diameter 5.7 inches. In the new design, the chamber is scaled by a factor of 1.5. The volume of the original chamber is a.)102.02 b.)248.04 c.)306.06 d.)412.08 cubic inches. This is a.)242.47 b.)344.49 c.)432.16 d.)448.21 cubic inches less than the volume of the new chamber.

Answers

The answers are:
a.)102.02
a.)242.47

The volume of the cone can be expressed as:
$V = (1)/(3) \pi r^(2) h$
where:
V - the volume of the cone,
r - the radius of the cone,
h - the height of the cone.

It is given:
h = 12 in
R = 2r = 5.7 in ⇒ r = 5.7 in ÷ 2 = 2.85 in
π = 3.14

Therefore, the volume of the original conical chamber (V₁)
$V = (1)/(3) *3.14*(2.85) ^(2) *12 = 3.14*8.1225*4 = 102.02 in^(3)$

Further, the new chamber is scaled by a factor of 1.5. That means that radius and height of the original chamber are increased 1.5 times:
r₁ = r · 1.5 = 2.85 in · 1.5 = 4.275 in
h₁ = h · 1.5 = 12 in · 1.5 = 18 in

The volume of the new chamber is:
$V_1= (1)/(3) *3.14*(4.275) ^(2) *18 = 3.14*18.28*6=344.49 in ^(3)$

The difference between two chambers is:
V₁ - V = 344.49 - 102.02 = 242.47

Answer:

a and a

Step-by-step explanation:

What did the boy measuring stick say when he saw the girl measuring stick?

Answers

can i measure u said the boy measuring stick?

What is are,perimeter, and type?

Answers

Area is the amount "inside" a 2 dimensional figure. Perimeter is the length of all the sides of the polygon added together.

The branch of statistics that involves organizing, displaying, and describing data is called _______

Answers

Answer:

Descriptive statistics

Step-by-step explanation:

descriptive statistics

The product of 9 and a number is 12 less than three times that number.What is the number?

Giving 20 Points....

Answers

9n = 3n-12
-3n= -3n
6n= -12
divide by 6 = -2 =n

to check.. 9 times -2 = -18 soo.. 3 times -2= -6-12= -18

so it is correct!!

hope it helps :)

The element in group 15 and period 4

Answers

Final answer:

The element in group 15 and period 4 of the periodic table is Arsenic (As), which is classified as a metalloid due to its mixed properties of metals and non-metals.

Explanation:

The element that is found in group 15 and period 4 on the periodic table is Arsenic (As). Group refers to the vertical column and period refers to the horizontal row on the periodic table.

Arsenic belongs to the 'p-block' group of the periodic table and it is classified as a metalloid. This means it has properties of both metals and non-metals. For example, arsenic is brittle (like a non-metal) but can also conduct some electricity (like a metal).

Learn more about Arsenic here:

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Answer:

Arsenic

Step-by-step explanation:

Periods are vertical, groups are horizontal

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