To solve the problem we must know about Sine Rule.
<h3>What is
Sine rule?</h3>
The sine rule of trigonometry helps us to equate the side of the triangles to the angles of the triangles. It is given by the formula,
where
- Sin A is the angle and α is the length of the side of the triangle opposite to angle A,
- Sin B is the angle and β is the length of the side of the triangle opposite to angle B,
- Sin C is the angle and γ is the length of the side of the triangle opposite to angle C.
The value of w is 4.0 cm.
Given to us
- VW = 3.3 cm,
- ∠U = 31°,
- ∠W = 39°,
<h3>Using the sine law,</h3>
Substitute the values,
w = 4.03224 cm ≈ 4.0 cm
Hence, the value of w is 4.0 cm.
Learn more about Sine Rule:
brainly.com/question/17289163
Answer:
A 5
Step-by-step explanation:
Parts on the left have the same ratio as parts on the right.
... x/(x+5) = (x -2)/(x +1)
Multiplying by (x+5)(x+1), we get
... x(x +1) = (x -2)(x +5)
... x² +x = x² +3x -10 . . . . eliminate parentheses
... 0 = 2x -10 . . . . . . . . . . subtract x²+x
... 0 = x -5 . . . . . . . . . . . . divide by 2
... 5 = x . . . . . . . . . . . . . . . add 5
If you are talking about the area and perimeter of one of the triangular faces...
8 x 1.2 = 9.6
6 x 1.2 = 7.2
Perimeter = 9.6 + 7.2 + 7.2 = 24
Area = Linear Scale Factor²
1.2² = 1.44
7 x 1.44 = 10.08 (units)²
Answer:
Step-by-step explanation:
<u>Negative four is at least six less than a number</u>
<u>Sum of a negative two & nine times a number is less than seventy nine</u>
- -2 + 9x < 79 ⇒ 9x < 81 ⇒ x < 9
<u>Combined inequality:</u>
