Answer:
b. about 91.7 cm and 44.6 cm
Step-by-step explanation:
The lengths of the diagonals can be found using the Law of Cosines.
Consider the triangle(s) formed by a diagonal. The two given sides will form the other two sides of the triangle, and the corner angles of the parallelogram will be the measure of the angle between those sides (opposite the diagonal).
For diagonal "d" and sides "a" and "b" and corner angle D, we have ...
d² = a² +b² -2ab·cos(D)
The measure of angle D will either be the given 132°, or the supplement of that, 48°. We can use the fact that the cosines of an angle and its supplement are opposites. This means the diagonal measures will be ...
d² = 60² +40² -2·60·40·cos(D) ≈ 5200 ±4800(0.66913)
d² ≈ {1988.2, 8411.8}
d ≈ {44.6, 91.7} . . . . centimeters
The diagonals are about 91.7 cm and 44.6 cm.
Answer:
Range(R)= (5,1,-4,-3)
Step-by-step explanation:
f={ (2,5) , (-6,1) , (0,-4), (4,-3), (7,-3) }
Same range is not repeated.
Answer:
Step-by-step explanation:
The key to solving this problem lies in understanding that the domain of the square root function includes ONLY zero or positive numbers.
In this case, we set 4x - 3 ≥ 0.
Solving for 4x: 4x ≥ 3. Therefore, x ≥ 3/4.
The domain of the given function is [3/4, ∞ ).
The given expression evaluates to -19.
<h3>What is a expression? What is a mathematical equation? What do you mean by domain and range of a function?</h3>
- A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.
- A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
- For any function y = f(x), Domain is the set of all possible values of [y] that exists for different values of [x]. Range is the set of all values of [x] for which [y] exists.
We have the following expression -
- 6 - 13
The given expression evaluates to -
x = - 6 - 13
x = - 19
Therefore, the given expression evaluates to -19.
To solve more questions on Equations, Equation Modelling and Expressions visit the link below -
brainly.com/question/14441381
SPJ1
Answer:
64
Step-by-step explanation:
One eighth of the side is one square. Eight squares per side. Eight multiplied by eight is sixty-four.
