Hey there!!
The given equation :
... 3x + 3 ( 5x - 18 ) = 108
... 3x + 15x - 54 = 108
... 18x - 54 = 108
... 18 x = 162
This is equivalent to the above question.
... The solution would be 162 / 18 = 9
Hope my answer helps!!
Answer:
12/25
Step-by-step explanation:
- Convert .48 to a fraction (48/100)
- The GCF of 48 and 100 is 4. Divide 48 and 100 by 4. You will get 12/25.
Step-by-step explanation:
<em>Look at the picture.</em>
Any pair of choice can be the coordinates of the rotation of the point
W (-3, 4) clockwise.
All points have the same distance from the beginning.
The formula of a distance between the origin and a point (x, y):

W(-3, 4)

(3, -4)

(4, 3)

(-4, -3)

(-4, 3)

Answer:
x=5
Step-by-step explanation:
5*5=25
25+10=35
35+55=90
Hi there! You have to remember these 6 basic Trigonometric Ratios which are:
- sine (sin) = opposite/hypotenuse
- cosine (cos) = adjacent/hypotenuse
- tangent (tan) = opposite/adjacent
- cosecant (cosec/csc) = hypotenuse/opposite
- secant (sec) = hypotenuse/adjacent
- cotangent (cot) = adjacent/opposite
- cosecant is the reciprocal of sine
- secant is the reciprocal of cosine
- cotangent is the reciprocal of tangent
Back to the question. Assuming that the question asks you to find the cosine, sine, cosecant and secant of angle theta.
What we have now are:
- Trigonometric Ratio
- Adjacent = 12
- Opposite = 10
Looks like we are missing the hypotenuse. Do you remember the Pythagorean Theorem? Recall it!
Define that c-term is the hypotenuse. a-term and b-term can be defined as adjacent or opposite
Since we know the value of adjacent and opposite, we can use the formula to find the hypotenuse.
- 10²+12² = c²
- 100+144 = c²
- 244 = c²
Thus, the hypotenuse is:

Now that we know all lengths of the triangle, we can find the ratio. Recall Trigonometric Ratio above! Therefore, the answers are:
- cosine (cosθ) = adjacent/hypotenuse = 12/(2√61) = 6/√61 = <u>(6√61) / 61</u>
- sine (sinθ) = opposite/hypotenuse = 10/(2√61) = 5/√61 = <u>(5√61) / 61</u>
- cosecant (cscθ) is reciprocal of sine (sinθ). Hence, cscθ = (2√61/10) = <u>√61/5</u>
- secant (secθ) is reciprocal of cosine (cosθ). Hence, secθ = (2√61)/12 = <u>√</u><u>61</u><u>/</u><u>6</u>
Questions can be asked through comment.
Furthermore, we can use Trigonometric Identity to find the hypotenuse instead of Pythagorean Theorem.
Hope this helps, and Happy Learning! :)