The cable should be 50 feet.
If you draw the picture, you will see that you have a right triangle.
Let's just use the Pythagorean Theorem to find the hypotenuse (or cable).
30^2 + 40^2 = c^2
2500 = c^2
50 = c
The only one that wouldn’t change the y-value is a reflection across the y-axis.
Answer:
3x + 2y = 38, 3a + 2b = 38
Step-by-step explanation:
An equation may be defined as a statement that shows two mathematical expressions to be equal. It is to equate one thing to another thing.
In the context, two different equations for the situations are :
i). Let the shirt be represented by x
And the socks be represented by y
Therefore, according to the question,
3x + 2y = 38
ii). Let the shirt be represented by a
And the socks be represented by b
Therefore, according to the question,
3a + 2b = 38
Answer:
The first occurence of t for which x = 0 is t = 0.5.
Step-by-step explanation:
The harmonic motion is described by the following equation.

What is the first occurrence of a value of t for which x = 0?
This is t when
. So




The inverse of the cosine is the arcosine. So we apply the arcosine function to both sides of the equality.





The first occurence of t for which x = 0 is t = 0.5.
Answer:
Option (2). 14 m
Step-by-step explanation:
Formula to get the area of a circle 'A' = 
where r = radius of the circle
Given in the question,
Area of the circle = 153.86 square meters
By putting the values in the formula,
153.86 = πr²
r = 
r = 
r = 7 meters
Diameter of circle = 2 × (radius of the circle)
= 2 × 7
= 14 meters
Therefore, diameter of the circle is 14 meters.
Option (2) is the answer.