Answer:
Annika was 14 days late with her book.
Step-by-step explanation:
The first four days would cost Annika 1.0 dollar (4x0.25), then we need to divide the rest of the ammount by 0.30 to calculate for how many days she paid the 0.30 dollar fine.
4.00 - 1.00 = 3.00
3.00/0.30 = 10
Therefore, Annika was 4 +10 = 14 days late with her book.
 
        
             
        
        
        
Answer:
1240.4 mm² 
Step-by-step explanation:
SA of Pentagonal pyramid: 
(as)(5/2) + (sl)(5/2)
 ↑ ↑
base area lateral area
_____________________
a: apothem (in-radius) length, s: side length.
 l: slant height.
______________________
Since we are already given the base area which is 440.4 mm². All we need to do is find the lateral area and add both areas together.
Given that the triangular face of the lateral part has a side/base length of 16mm, and a 20mm slant height.
A triangle has an area of ½bh and since there are 5 of these faces total, (5)(½bh) = (5/2)(bh). In a three dimensional perspective, b will be s and h will be l so (sl)(5/2).
With this information the surface area is:
(16)(20)(5/2)mm + (440.4 mm²) →
800 mm² + 440.4 mm² =
1240.4 mm²
 
        
             
        
        
        
It is A 
<span><span><span>23</span>x</span>=10</span>Step 1: Multiply both sides by 3/2.<span><span><span>(<span>32</span>)</span>*<span>(<span><span>23</span>x</span>)</span></span>=<span><span>(<span>32</span>)</span>*<span>(10)</span></span></span><span>x=<span>15
</span></span>Answer:<span>x=<span>15</span></span>
        
                    
             
        
        
        
Cos (x) = adj/hyp
cos (x) = 13/25
x = cos⁻¹(13/25)
x= 58.7° (nearest tenth)