Answer:
Step-by-step explanation:
Keep in mind that these three trig functions can be interpreted as being the ratios of the side lengths of a triangle:
opposite side
sin x = ----------------------
hypotenuse
adjacent side
cos x = ----------------------
hypotenuse
opposite side
tan x = ----------------------
adjacent side
In the case where you have a right triangle and know the lengths of two of its three sides, that knowledge dictates which of the above trig functions to use in "solving the triangle."
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If, for example, the "opposite side" of a triangle is 3 and the "hypotenuse" is 5, we'd choose to use the sine function to find the angle opposite the "opposite side:"
opposite side 3 units
sin x = ---------------------- = -------------
hypotenuse 5 units
Find x by using the inverse sine function:
Angle x = arcsin 3/5 = 0.644 radians or 36.9 degrees.
Answer:
8 gallons were in the tank beforehand.
Step-by-step explanation:
Answer:
a. 6
b. 144
Step-by-step explanation:
a. 25% of 24 is 6
b. 24 x 6 = 144
Answer:
(x, y) ⇒ (x + 5, y - 4)
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, rotation, translation and dilation.
Translation is the movement of a point either up, down, left or right. If a point A(x, y) is translated a units right and b units up, the new location of the point is at A'(x + a, y + b) while if a point A(x, y) is translated a units left and b units down, the new location of the point is at A'(x - a, y - b).
Since Quadrilateral MNOP was translated 5 units to the right and 4 units down to create quadrilateral M′N′O′P′, the rule that was applied was:
(x, y) ⇒ (x + 5, y - 4)
Answer:
the probability of a client owning stocks OR bonds is 0.825
Step-by-step explanation:
The computation of the probability of a client owning stocks OR bonds is given below:
= P(stocks) + P(bonds) - P(stocks and bonds)
= 0.60 + 0.50 - (0.55 × 0.50)
= 0.60 + 0.50 - 0.275
= 0.825
Hence, the probability of a client owning stocks OR bonds is 0.825