Answer: $15.00
Step-by-step explanation: If 3 sodas cost you $4.50 then you divide it by 3 to get $1.50 per soda. Then you multiply the number by ten to get $15.
 
        
                    
             
        
        
        
Answer:
<h2>
240.34</h2>
Step-by-step explanation:
ΔA = 90° - 31°
 = 59°
sin A = perpendicular ÷ base 
sin 59° = 400 ft ÷ y
1.6643 = 400 ft ÷ y
y = 400 ÷ 1.6643
y = 240.34 ft 
<h2>
MARK ME AS BRAINLIST</h2>
 
        
             
        
        
        
The given circle having two external tangents, according to circle 
theorem, have the following values;
<h3>How can the radial  length and angles be found?</h3>
r² + 1.6² = (0.4 + r)²
(0.4 + r)² - (r² + 1.6²) = 0
0.8·r - 2.4 = 0
0.8·r = 2.4
r = 2.4 ÷ 0.8 = 3
y = 49°
From the two tangent angle theorem, we have;
m∠1 = ((82 + 98 + 82) - (360 - ((82 + 98 + 82)))) ÷ 2 = 82
According to circle theorems, angle at the center is twice angle 
subtended at the circumference.
m∠2 = (360 - (82 + 98 + 82)) ÷ 2 = 49°
The length of the chord subtended by the arc <em>x</em> is equal to the length of 
the chord subtended by 89°, which gives;
Learn more about circle theorems applications here:
brainly.com/question/16879446
 
        
             
        
        
        
Answer:
b. about 63.9 units and 41.0 units
Step-by-step explanation:
In question ∠a= 29° and Side of a= 15 and b= 20
Using sine rule of congruence of triangle.
⇒ 
⇒ 
Using value of sin 29°
⇒ 
Cross multiplying both side.
⇒ Sin B= 
∴ B= 41° 
Now, we have the degree for ∠B= 41°.
Next, lets find the ∠C
∵ we know the sum total of angle of triangle is 180°
∴∠A+∠B+∠C= 180°
⇒ 
subtracting both side by 70°
∴∠C= 110°
Now, again using the sine rule to find the side of c.

⇒
Using the value of sine and cross multiplying both side.
⇒ C= 
∴ Side C= 28.92.
Now, finding perimeter of angle of triangle
Perimeter of triangle= a+b+c
Perimeter of triangle= 
∴ Perimeter of triangle= 63.9 units