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:
x = 13
General Formulas and Concepts:
<u>Pre-Algebra</u>
<u>Geometry</u>
Step-by-step explanation:
<u>Step 1: Set up equation</u>
3x = x + 26
<u>Step 2: Solve for </u><em><u>x</u></em>
- Subtract <em>x</em> on both sides: 2x = 26
- Divide 2 on both sides: x = 13
Answer:
5x4 - 3x2 + 9x - 7
Step-by-step explanation:
Step by step solution :
Step 1 :
Equation at the end of step 1 :
(((5•(x4))+7x)+2)-((3x2-2x)+9)
Step 2 :
Equation at the end of step 2 :
((5x4 + 7x) + 2) - (3x2 - 2x + 9)
Step 3 :
Checking for a perfect cube :
3.1 5x4-3x2+9x-7 is not a perfect cube
Trying to factor by pulling out :
3.2 Factoring: 5x4-3x2+9x-7
Answer:
The answer is 5³.
Step-by-step explanation:
You have to apply Indices Law :



So for this question :




Answer:
-1209
Step-by-step explanation:
Your sequence has first term a1 = -29 and common difference d = -20. Using these in the formula for the n-th term, we can find the 60 term.
an = a1 +d(n -1)
an = -29 -20(d -1)
a60 = -29 -20(60 -1) = -1209