Answer:
12a. 471.2 cm²
12b. 60 m²
Step-by-step explanation:
Part A.
The surface area of each figure is the sum of the end area and the lateral area.
<u>cylinder</u>
S = (2)(πr²) +2πrh = 2πr(r +h)
S = 2π(5 cm)(5 cm +10 cm) =150π cm² ≈ 471.2 cm²
__
<u>triangular prism</u>
S = (2)(1/2)bh + PL . . . . b=triangle base; h=triangle height; P=triangle perimeter; L=length of prism
S = (4 m)(1.5 m) + ((4 + 2·2.5) m)(6 m) = (6 + 54) m² = 60 m²
_____
Part B.
Surface area is useful in the real world wherever products are made from sheets of material or wherever coverings are applied.
Carpeting or other flooring, paint, wallpaper are all priced in terms of the area they cover, for example.
The amount of material used to make containers in the shapes shown will depend on the area of these containers (and any material required for seams).
A geometric sequence is one that involves addition or subtraction. One example would be "In an auditorium, the 1st row has 25 seats. The 2nd has 30. The 3rd has 35. How many does the 4th have? Take the formula, x + 5. All you do is simply add 5.
An arithmetic sequence is one that involves multiplication or division. For example, "Jon receives 5 dollars each week. If he waits for 5 months, how much money will he have? Honestly, all you have to do is think about the formula. x * 5. x would be the number of weeks.
I know my answer is not as good as the verified one, but it is simpler and easier to understand. I apologize if it isn't good enough.
Answer:
The missing value = 
Step-by-step explanation:
Given - Equation: ? + 59 5/8= 82 2/3
To find - Explain (in words) what you would do to find the missing value in
the equation. You do not find the missing number.
Proof -
Let the missing number = x
So, the equation becomes x + 
= 
⇒x = -
= 
= 
= 
=
⇒x =
∴ we get
The missing value =
Explanation -
Here we have given the ? with addition of number that is equation to some number.
We just have to subtract the two numbers to find the missing value , as we do above.
Answer:
Below
Step-by-step explanation:
You can use it if you added a hight.
When you a hight you are creating a right triangle. If not you cannot use directly
If D is the midpoint of CE, then CD must be equal to DE
Answer: C
