In order to solve a triangle, you need three of the six bits of information that define the triangle (3 angles, 3 sides), including at least one side. If you have one angle and one side, you only have two, not three. The triangle cannot be solved.
However, if your triangle is a right triangle, and the angle referred to in the problem statement is not the right angle, then you have the required information. In general, you make use of the definitions of the trigonometric functions. These can be remembered by the mnemonic SOH CAH TOA.
6 acts as the base. 15 acts as the height, because it extends from the base to meet vertex opposite the base at a 90° angle.
General formula for triangle area
a = 1/2 × b × h
plug in the numbers
a = 1/2 × 6 × 15
a = 90/2
a = 45
The area of the triangle is 45 units²
If you are solving for x then here’s how:
(3x2 + 4x - 12) = (x + 5)
Remove the x on the left by remove one x from both of the sides.
(3x2 + 3x - 12) = 5
Add 12 onto both sides
(3x2 + 3x) = 17
Multiply
(6 + 3x) = 17
Take away 6 from both sides
3x = 11
Divide by 3 on both sides
x = 3.666 recurring
Answer:23.85
Step-by-step explanation:
Answer:
If she puts 2 pencils and 3 erasers in each packet,
Rosy can make a total of 8 packets.