Answer:
The sine = 0.2724 and the cosine = -0.9615 to 4 decimal places.
Step-by-step explanation:
The point (-7,2) is in the second quadrant .
The sine is positive and the cosine is negative,.
The hypotenuse of the triangle in the second quadrant = √((-7)^2 + 2^2)
= √53 ( by Pythagoras), the opposite side = 2 and the adjacent side = -7.
So the sine of the angle is 2 /√53 and the cosine is -7/√53.
or 0.2724 and -0.9615 to 4 decimal places.
Answer:
15 feets
Step-by-step explanation:
Perimeter of a rectangle = 2(l + w)
l = Length ; w = width
Perimeter, p = 48
Length of all sides
p = 2(l + w)
48 = 2(l + 9)
48 = 2l + 18
48 - 18 = 2l
30 = 2l
l = 30/2
l = 15
Length of the sides = 15 feets
Answer:
The term X is a variable that takes the place of any number. ... Similarly 2 multiplied by X results to X plus X which means a number added to itself since multiplication is a repeated addition. So 2X = 2 * X = X + X = 2X.
Step-by-step explanation:
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Answer:
R3 Theorem: If parallel lines are cut by a transversal, then alternate interior angles are congruent.
R4 Theorem: Congruence of segments is reflexive.
S5 ΔABC ≅ ΔCDA
Answer:
C. If the probability of an event occurring is 1.5, then it is certain that the event will occur.
Step-by-step explanation:
Probability is a value between <em>0 and 1</em> (including both values). Thus, to say that there is a probability of 1.5 is not correct, and, therefore, this statement is not true.
We can rewrite the statement as "If the probability of an event occurring is 1, then it is completely certain that the event will occur."
Statement A.
Suppose the event is A. Then, if P(A) = 0, it is completely certain that the event will not occur. It is true.
Statement B.
. Then, the statement is true.
Statement C.
We already explained the <em>statement C is not true</em> because the values for probabilities are between 0 and 1 (including both values). A probability of 1.5 is meaningless as a result.
Statement D.
For the same reason explained in C, the probability can never be a negative value. So, this statement is also true.