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.
Answer:
52 degrees
Step-by-step explanation:
The 38 degree angle and the angle marked with a question mark are complimentary, which means they add up to 90 degrees. Knowing this, subtract 38 from 90 to find the mystery angle.
Answer:
a2+b2=c2
Step-by-step explanation:
A right triangle is a triangle in which one of the angles is a 90∘ angle. A triangle can be determined to be a right triangle if the side lengths are known. If the lengths satisfy the Pythagorean Theorem (a2+b2=c2) then it is a right triangle.
Answer:
Step-by-step explanation:
The formula for determining the volume of a sphere is expressed as
Volume = (4/3) × πr³
The volume of the given sphere is expressed as 288π inches³. It means that
(4/3) × πr³ = 288π
4r³/3 = 288
4r³ = 3 × 288 = 864
r³ = 864/4 = 216
Taking cube root of both sides, it becomes
r = 6
The formula for determining the surface area of a sphere is expressed as
Area = 4πr²
π = 3.14
Therefore,
Surface area = 4 × 3.14 × 6² = 452.16 inches²
Answer:
<h2>(A.B.)-32, 64</h2>
Step-by-step explanation:
Each next term is created by multiplying the previous term by (-2).
