Identify the ratios that correspond to below, where AB 8, BC = 5, and AC = 9.4. %3D A sin (A) = 94 COs(A 94 sin (A) cos(A) 8 94 C sin (A) 50 cos (A) - 94 D sin (A) = cos (A) - 94 9.4
Optimization
Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.
Integration
Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.
Application of Integration
In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.
Volume
In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).
Area
Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.
![### Trigonometric Ratios and Right-Angle Triangle
Identify the ratios that correspond to below, where \( AB = 8 \), \( BC = 5 \), and \( AC = 9.4 \).
#### Right-Angle Triangle Diagram:
A diagram of a right-angled triangle is shown with the following vertices:
- \( A \) at the top left corner
- \( B \) at the top right corner, forming the right angle
- \( C \) at the bottom right corner
The triangle sides are labeled as follows:
- \( AB \) (the adjacent side to angle \( A \)) = 8 units
- \( BC \) (the opposite side to angle \( A \)) = 5 units
- \( AC \) (the hypotenuse) = 9.4 units
#### Trigonometric Ratios Options:
A. \[
\sin (A) = \frac{8}{9.4} \quad \cos (A) = \frac{5}{9.4}
\]
B. \[
\sin (A) = \frac{5}{8} \quad \cos (A) = \frac{8}{9.4}
\]
C. \[
\sin (A) = \frac{5}{9.4} \quad \cos (A) = \frac{8}{9.4}
\]
D. \[
\sin (A) = \frac{5}{9.4} \quad \cos (A) = \frac{8}{9.4}
\]
In your study, the correct choice involves using the appropriate side lengths relative to angle \( A \) to determine the sine and cosine values. The sine function (\(\sin\)) relates the opposite side to the hypotenuse, while the cosine function (\(\cos\)) relates the adjacent side to the hypotenuse.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe109494b-0ac0-4b5d-8618-32685586793e%2F7503cbb2-3c60-40bd-bef3-c143476eab7f%2Fdk9gdz_processed.jpeg&w=3840&q=75)
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