Answer:
y = -4
Step-by-step explanation:
-2x + 5y = 8
Let x=-14
-2(-14) +5y = 8
28 +5y = 8
Subtract 28 from each side
28-28 +5y = 8-28
5y = -20
Divide by 5
5y/5 = -20/5
y = -4
Using relations in a right triangle, considering c as the hypotenuse, we have that the length of side A is:
<h3>What are the relations in a right triangle?</h3>
The relations in a right triangle are given as follows:
- The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.
- The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.
- The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.
From the information given, we can build the following relation:
cos(A) = a/c.
More can be learned about relations in a right triangle at brainly.com/question/26396675
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Answer:
Step-by-step explanation:
<u>Given </u>
<u>In the first quadrant both sine and cosine are positive, so as tangent.</u>
- tanθ = sinθ / cosθ =
- θ / cosθ =
- / 4/5 =
- / 4/5 =
- 3/5*5/4 =
- 3/4
Answer:
∠x = 90°
∠y = 58°
∠z = 32°
Step-by-step explanation:
The dimensions of the angles given are;
∠B = 32°
Whereby ΔABC is a right-angled triangle, and the square fits at angle A, we have;
∠A = 90°
∴ ∠B + ∠C = 90° which gives
32° + ∠C = 90°
∠C = 58°
∠x + Interior angle of the square = 180° (Sum of angles on a straight line)
∴ ∠x + 90° = 180°
Hence;
∠x = 90°
∠x + ∠y + 32° = 180° (Sum of angles in a triangle)
∴ 90° + ∠y + 32° = 180°
∠y = 180 - 90° - 32° = 58°
∠y + ∠z + Interior angle of the square = 180° (Sum of angles on a straight line)
58° + ∠z +90° = 180°
∴ ∠z = 32°
∠x = 90°
∠y = 58°
∠z = 32°
Answer:
The new volume is 20litres
Step-by-step explanation:
This problem bothers on the expansion of gases
According to Boyle's law
The volume of a given mass of gas at constant temperature is inversely proportional to the pressure
P∝1/v
Pv= constant
Given data
P1= 1.5atm
v1 = 10 litter
P2=0.75atm
v2=?
Applying P1v1= P2v2
v2= P1v1/P2
v2= 1.5*10/0.75
v2= 15/0.75
v2= 20litres