Answer:
The lateral area = 450 mm²
Step-by-step explanation:
The lateral area of any prism is equal to the areas of the sides faces
∵ The base of the prism is triangle
∴ It has 3 side faces
∵ The lengths of the side faces are 5 , 12 , 13 and their height is 15
∴ The lateral area = (5 × 15) + (12 × 15) + (13 × 15)
= 75 + 180 + 195 = 450 mm²
Answer:
A ∩ B = {1, 3, 5}
A - B = {2, 4}
Step-by-step explanation:
The given problem regards sets and set notation, a set can simply be defined as a collection of values. One is given the following information:
A = {1, 2, 3, 4, 5}
B = {1, 3, 5, 6, 9}
One is asked to find the following:
A ∩ B,
A - B
1. Solving problem 1
A ∩ B,
The symbol (∩) in set notation refers to the intersection between the two sets. It essentially asks one to find all of the terms that two sets have in common. The given sets (A) and (B) have the values ({1, 3, 5}) in common thus, the following statement can be made,
A ∩ B = {1, 3, 5}
2. Solving problem 2
A - B
Subtracting two sets is essentially taking one set, and removing the values that are shared in common with the other set. Sets (A) and (B) have the following values in common ({1, 3, 5}). Thus, when doing (A - B), one will omit the values ({1, 3, 5}) from set (A).
A - B = {2, 4}
Answer:
<h2>
4.5</h2>
Step-by-step explanation:


Move constant to R.H.S and change its sign

Subtract the numbers

Divide both sides of the equation by 2

Calculate

Hope this helps..
Best regards!!
<span>You can check all the rates on the number line by finding the quotient between the top rate and the bottom rate given and make sure that all of your quotients are equal to the given rate. </span>