Words that came from the same ancestral language and originated from the same word are called COGNATE WORDS.
In linguistics, cognates are words that have a common etymological origin. These are words in two languages that share a similar meaning, spelling, and pronunciation. For an instance, English words have lots of related words in Spanish.
Answer:
1) 270 degrees
2) pi/4 rad
Step-by-step explanation:
1.) For which value of theta is sine theta = negative 1?
Given
sintheta = -1
theta = arcsin(-1)
theta = -90degrees
Since sin is negative in the third and 4th quadrant
In the third quadrant, theta = 180 + 90 = 270degrees
In the fourth quadrant, theta = 360 - 90 = 270 degrees
Hence the required value of theta is 270degrees
2) Given the radius of the circle to be 1, the y axis value will also be 1 units
Opposite = 1
adjacent = 1
hyp = √1²+1²
hyp = √2
sin theta = opp/hyp
sin theta = 1/√2
theta = arccsin(1/√2)
theta = 45 degrees
Express in radians
45 degrees = pi/4 radians
Hence the required angle in the first quadrant is pi/4 rad
<span>(-2x)/3 divided by 1/3?
Since you are dividing by a fraction, take that fraction, invert it and then multiply:
-2x 3
----- * ----- = -2x (answer)
3 1</span>
Answer:
Step-by-step explanation:
-Given the cone's height is 9.1m and the Circumference is 12.1
#We use the circumference formula to calculate the radius:
-The volume of the cone using the radius above can then be calculated as follows:
Hence, the cone's volume is 
Both graphs A and B are linear. In both graphs, the y value is going up at a constant rate in comparison to their x values. For example, in graph A every time the x value is increased by 1 the y value is increased by 2 values showing that they have the same gradient. For a graph to be linear it must have a constant rate of increase or decrease.
