Answer:
4xy+24y^2−7x−38y−7
Step-by-step explanation:
(-7+4y) (6y+x+1)
-7*6y= -42y
-7*x= -7x
-7*1= -7
4y*6y= 24y²
4y*x= 4yx
4x*1= 4y
Add them up
The value of the side c will be 5.56 cm and angle C is 32.49° and angle B is 42.51°.
<h3>What is law of cosine?</h3>
Let there is a triangle ABC such that |AB| = a units, |AC| = b units, and |BC| = c units and the internal angle A is of θ degrees, then we have:
a² + b² – 2ab cos C = c²
Given triangle ABC, A = 105°, a = 10 cm, b = 7 cm.
Then we have
7² + c² – (2 · 7 · c) cos 105° = 10²
c² + 3.62c – 51 = 0
On solving, we have
c = 5.56
Then the angle C will be
10² + 7² – 2 · 7 · 10 · cos C = 5.56²
149 – 140 cos C = 30.91
cos C = 0.8435
C = 32.49°
We know that
∠A + ∠B + ∠C = 180°
105° + ∠B + 32.49° = 180°
∠B = 42.51°
Learn more about law of cosines here:
brainly.com/question/17289163
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Answer: 125,000 BTUs
Step-by-step explanation:
Hi, to answer this question we have to apply proportions:
A fuel tank has a volume of 36 gallons. When filled with biodiesel, it provides 4,500,000 BTUs
So, the proportion is:
36 gallons / 4,500,000 BTUs
For 1 gallon
1 gallon / x BTUs
36/4,500,000 = 1/x
Solving for x:
x = 1 / (36/4,500,000)
x = 125,000 BTUs
Feel free to ask for more if needed or if you did not understand something.
