Graph y=sin^-1 (-1/2x) on the interval -5≤x≤5.
1 answer:
Answer:
Option c.
Step-by-step explanation:
To quickly solve this problem, we can use a graphing tool or a calculator to plot the equation.
Please see the attached image below, to find more information about the graph
The equation is:
y=sin^-1 (-1/2x) on the interval -5 ≤ x ≤ 5
Looking at the graph, we can tell that the correct option is
Option c.
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Answer:
The probability that the next two balls are blue is
Step-by-step explanation:
There is a total number of 12 balls in the jar (7 Red and 5 blue), if the first marble drawn is a given, that is it is a Red marble, then following the instruction the Red marble and two more Red marbles are added. Therefore making the total number of marbles in the jar to be 14 marbles (9 red and 5 blue).
<u>FIRST EVENT:</u> So the probability of drawing the second marble to be a blue marble becomes = 5/14 [<em>this is the number of blue marbles/ total number of marbles in the jar</em>].
Thereafter the blue marble is returned and two more blue marbles are added to the jar making a total of 16 marbles (9 red and 7 blue}.
<u>SECOND EVENT: </u>So the probability of drawing the third marble to be a blue marble becomes = 7/16 [<em>this is the number of blue marbles/ total number of marbles in the jar</em>].
However, this is not the final answer because the first event and the second event must occur together, therefore, one has to multiply the first events probability and the second events probability to get the probability we are looking for.
So, the probability of picking the next two to be blue = 5/14*7/16 (seven can reduce the 14 to a 2 based on division)
Therefore the probability = 5/32 (the 2 multiplies the 16)
Answer:
a = 25 m²
b = 5 m
c = 7.94 m
d = 35.73 m²
Code: H I A B
Step-by-step explanation:
<u>Formulae</u>
Pythagoras’ Theorem:
(where a and b are the legs, and c is the hypotenuse, of a right triangle)
Area of a square = x² (where x is the side length)
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Assuming that all the quadrilaterals are squares.
Side length of blue square with area 16 m² = √16 = 4 m
Side length of yellow square with area 9 m² = √9 = 3 m
Use Pythagoras' Theorem to find the <u>length of b</u>:
Now we have found length b, we can find <u>area a</u>:
Side length of purple square with area 144 m² = √144 = 12 m
Side length of green square with area 81 m² = √81 = 9 m
Use Pythagoras' Theorem to find the <u>length of c</u>:
Now we have found length d, we can find <u>area d</u>:
Code: H I A B