Geometry is everywhere. Angles, shapes, lines, line segments, curves,<span> and other aspects of geometry are every single place you look. Letters themselves are constructed of lines, line segments, and curves.</span>
6.93 should be your correct answer
The horizontal distance between Carl and the rock at sea is approximately 60.62ft.
Data;
- Angle = 30 degree
- Opposite = 35
- Adjacent = x
<h3>Trigonometric Ratio</h3>
Given the angle of depression from his point to the sea, we can use trigonometric ratio to calculate for the horizontal distance from his location to the bottom of the sea.
SOHCAHTOA
Since we have the value of angle and opposite and we need to calculate the adjacent side of the right-angle triangle, we can use the tangent of the angle to this effect.

The horizontal distance between Carl and the rock at sea is approximately 60.62ft.
Learn more on trigonometric ratio here;
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If you have applied for two jobs a and b and the probability that you get an offer for the job a is 0.25 and the probability of being offered job b is 0.20, then the probability that you will be offered both jobs is 0.05.
Probability is a term used in mathematics that is concerned with the numerical illustration of the possibility of an event to take place. Its value is between 0 and 1 where 0 illustrates the impossibility of the event to take place while 1 illustrates the certainty of an event to take place.
As the probability of both the jobs are not dependent on each other, the probability that both jobs will be offered can be calculated by the formula;
P(A∩B) = P(A) × P(B)
Here, P(A∩B) represents the probability of both the events to take place together
As P(A) is equal to 0.25
P(B) is equal to 0.20
P(A∩B) = (0.25)(0.20)
P(A∩B) = 0.05
Therefore, 0.05 is the probability that both jobs will be offered.
To learn more about probability, click here:
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Hello!
To find the slope of the given equation, we would need to convert this equation from standard form into slope-intercept form. Our goal, is to get the variable y, on one side of the equation.
Remember that slope-intercept form is written as y = mx + b. In this form, m is the slope and b is the y-intercept.
2x + 4y = 12 (subtract 2x from both sides)
4y = 12 - 2x (divide both sides by 4)
y = 12/4 - 2/4x → y = -1/2x + 3
Therefore, the slope of this equation is -1/2, which is the final choice listed.