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
<h3>
Answer: Choice A) <9,0></h3>
Explanation:
Focus on one of the points in the figure on the left. Let's say we go for the upper left corner point (-7, 4)
Notice it moves to the corresponding image point (2,4). It has shifted 9 units to the right to follow the translation rule 
. We've added 9 to the x coordinate, and the y coordinate stays the same.
This notation can be shortened to <9, 0>
In general, the notation 
is shortened to the translation vector notation 
. In this case, a = 9 and b = 0.
These words related to geometry that are quite hard to define precisely are called the point, the line and the plane. They are called as such, not because you can't necessarily define them.
Answer:
$135.63
Step-by-step explanation:
first and foremost, the formula for interest is I = Prt. P is the principal, r is the rate, and t is the time.
so plug in the numbers you have. Always convert the rate to a decimal. The rate would be 0.0.45. Plug in 54.93 for the I and plug in 9 for the time. It would look like this:
54.93 = P(0.045)(9) --> 54.93 = 0.405P --> P = 135.63
