Answer:
14?
Step-by-step explanation:
The triangle: α = 40°, β = 35°, and a = 10. is b = 8.9, γ = 105°, c = 15.0
<h3 /><h3>What is Sine Law?</h3>
If A, B, and C are the measurements of the angles of an oblique triangle, and a, b, and c are the lengths of the sides opposite of the corresponding angles, then the ratios of the a side’s length to the sine of the angle opposite the side must all be the same.
a/ sin A = b/ sin B = c/ sin C
Using Angle sum property in a triangle we have,
α+β+ γ = 180
40+35+ γ=180
γ= 180-75
γ= 105°
Now,
c/ sin γ= a/ sin α
c/ sin 105= 10/ sin 40
c/ 0.96592 = 10 /0.6427
c = 15
again,
b/ sin β= a/ sin α
b/ sin 35= 10/ sin 40
b/0.5737= 15.559
b= 8.92
Learn more about sine law here:
brainly.com/question/17289163
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Answer:
i think it is the second one
Step-by-step explanation:
Answer:
i believe that the distance is 5 units
Answer:
1 plain pizza costs $10.50 and 1 pepperoni pizza costs $12.50
Step-by-step explanation:
Jack: 3x+2y= 58.5
Jill: 2x+4y=67
a) Multiply both equations so that one of the coefficients (number before the letter) are equal:
6x+4y=117
6x+12y=201
b) We can now easily subtract them to get:
(subtracted 6x) 4y=117 12y=201 (12y-4y and 201-117 next) 8y=84
c) Now we can divide 84 by 8 to get y=10.5, so now we can substitute it into any of the equations:
2x+(4*10.5)=67 --> 2x+42=67 -(subtract 42 from both sides)-> 2x=25 -(divide both side by 2)-> x=12.5.
d) To check if it works: 2(12.5)+4(10.5)=67 25+42=67 so it's correct.
