<span> i only know PART B
____
I'm not sure how you were taught, so I'll show work for different methods to get the same answer.
____
Method 1: Solving for the lateral surface area of the triangular prism (not using volume)
Note that for the triangular prism:
**DON'T include the 2 triangular bases. DO include the 3 rectangular sides**
*lateral surface area does not include the area of the bases*
*lateral surface area just includes the lateral faces*
formula: (a + b + c)(h)
[a, b, c still using the values from PART A; h being your height from PART A]
Plug them into the above formula:
(10 + 13 + 13)(20) -> (10 + 26)(20) -> (36)(20) = 720
=> Your lateral surface area is 720.
(If you forget to exclude the area of the bases, you will get the surface area of 840)
___________________
Method 2: Solving for the lateral surface area of the triangular prism (using volume)
Note that we will be using surface area, height, and volume to find the lateral area this time.
formula: A - 2 (V/h)
[A is the surface area; V is the given volume; h is the height from PART A]
Before we can plug things into the above formula, we need to find the surface area.
Since we have already found the lateral surface area (the area of the 3 rectangular sides), we just have to solve for the area of the bases (the area of the 2 triangles).
(Area of a triangle = (1/2)b*h or (0.5)(b*h) -> one-half of the base times the height
We can do this 2 ways:
1) Using our base value from PART A which is 5, and our height from PART A
which is 12
1/2(5*12) -> 1/2(60) -> 30.
Because we split that triangle in half in PART A, there are 4 triangles (2 in
each base).
So 30(4) = 120.
2) Using the whole base of the triangle which is 10, and the height from PART A
which is 12
1/2(10*12) -> 1/2(120) -> 60.
Since this time we used each whole base, instead of splitting them, there are
only 2
triangles (1 per base).
So 60(2) = 120.
Both ways gave you the same answer of 120.
Now add the lateral surface area and the area of the bases.
720 + 120
720 + 120 = 840.
840 is your surface area.
With that, you can now plug things into the formula.
A - 2 (V/h) -> 840 - 2 (1200/20) = 720
=> Your lateral surface area is 720.
___________________
Both Method 1 & Method 2 get you a lateral surface area of 720.
___
The approx. amount of cardboard used for the sides (aka lateral faces[aka rectangular sides]) of the candy box is 720.</span>
Using permutations and the probability concept, it is found that there is a 0.0417 = 4.17% probability that Nia is chosen as president.
- A probability is the <u>number of desired outcomes divided by the number of total outcomes</u>.
- As there are different roles, the order in which the students are chosen is important, hence, the <em>permutation </em>formula is used to solve this question.
Permutation formula:
The number of possible permutations of x elements from a set of n elements is given by:
Desired outcomes:
- For the other roles, 3 students from a set of 23, hence:
Total outcomes:
4 students from a set of 24, hence:
Then:
0.0417 = 4.17% probability that Nia is chosen as president.
To learn more about probabilities, you can take a look at brainly.com/question/24437717
Step-by-step explanation:
Hey, there!
Let's simply solve it.
As there is given that L and M are parallel. Use all the condition or properties of parallel lines.
Here use:
- vertically opposite angle.
- coointerior angles sum is 180°.
Now,
angle 6= 38° { Vertically opposite angle}.
angle 6 + angle 5 = 180° { as sum of coointerior angles are equal to 180°}
38°+angle 5 = 180°
or, angke 5 = 180°-38°
Therefore, angle 5 = 142°
Now, angle 3 = angle 5 { Vertically opposite angle}
Therefore, the measure of angle 3 is 142°.
Answer:
solve it yourself
Step-by-step explanation:
length of ist part= 30 cm
breadth of ist part = 21 cm
area of ist part = 630 cm
diameter of 2nd part= 21 cm
area of 2nd part = ¼dπ
π= 22/7
= ¼× 21 ×22/7
=3×10.5
= 31.5cm²
total area = ist part +2nd part + 3rd part
=
Ill try though
Step-by-step explanation:
my dude search it up?
