Answer and Step-by-step explanation:
<u>Trigonometric Function (These only work for right triangles):</u>
SOH-CAH-TOA
S = Sine = sin
C = Cosine = cos
T = Tangent = tan
O = Opposite (side)
H = Hypotenuse (side)
A = Adjacent (side)
SOH = sin(angle) = 
CAH = cos(angle) = 
TOA = tan(angle) = 
1. sinQ (Q is the angle) = 
Use Pythagorean Theorem to find side PQ. 
2. cosQ = 
3. tanQ = 
Answer:
6 mm and 9 mm are the dimensions of the piece of plastic.
Step-by-step explanation:
Keep in mind the formulas for the area and perimeter of a rectangle:
A = lw
P = 2 (l + w)
List the factors of 54:
1, 2, 3, 6, 9, 18, 27, 54
POSSIBLE DIMENSIONS of the piece of plastic:
1 mm and 54 mm:
Area - 54 mm^2
Perimeter - 110 mm
2 mm and 27 mm
Area - 54 mm^2
Perimeter - 58 mm
3 mm and 18 mm
Area - 54 mm^2
Perimeter - 42 mm
6 mm and 9 mm
Area - 54 mm^2
Perimeter - 30 mm
The rectangular piece of plastic with the dimensions 6mm and 9 mm corresponds with the area and perimeter of the piece of plastic mentioned. So these are the correct dimensions.
Hope this helps!
<span>C. Subtraction Property of Equality; Multiplication Property of Equality
For the first one, you are subtracting 7 from both sides (step b), to help isolate the y
since you are both subtracting, and "both sides" (meaning there is a equal sign) it is <em>Subtraction Property of Equality.</em>
For the second one, you are multiplying 2 from both sides (step d), to help isolate the y
since you are multiplying, and "both sides" (meaning there is a equal sign), it is <em>Multiplication Property of Equality</em>
hope this helps</span>
Answer:
y=-x-2
Step-by-step explanation:
The slope is negative 1 and the y intercept is -2
The angular measure L is : 47°
<h3>What are angles?</h3>
Angles are formed when two lines meet.
Analysis:
Firstly, we calculate for m using cosine rule.
=
+
-2(510)(820) cos 20
= 260100 + 672400 -83600(0.9396)
= 146618.56
m =
= 382.9cm
using sine rule to find ∠L
382.9/sin20 = 820/sinL
sinL = 820sin20/382.9
sinL = 820(0.342)/382.9
sinL = 0.732
L = sin inverse of 0.732 = 47°
In conclusion, ∠L is 47°
Learn more about sine and cosine rule: brainly.com/question/4372174
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