Since our line is perpendicular to this line, the slope of
our line is the negative reciprocal of 1/4, which is -4/1.
Remember, negative reciprocal is just a fancy way
of saying flip the fraction and change the sign.
So the slope of our line is -4/1 and we use this slope along
with our given point to write the equation of our line.
Start with the point-slope formula.
Y - y1 = m(x - x1).
~Substitute
Y - -2 = -4/1(x - 5).
Minus a negative is plus a positive.
Y + 2 = -4/1x + 20.
Subtract 2 from both sides.
Y = -4/1x + 18
So, our answer is C.
In the given question the length and width of the plot are already given. although there is no direct specification regarding the one that is length or the one that is the width, so it can be taken as your own choice. This will not affect the ultimate answer.
So
Area of the rectangular plot = Length * Width
= 11.7 * 15.4 square cm
= 180.18 square cm
So the area of the rectangular plot as can be seen from the above deduction is 180.18 square centimeter.
Answer:
x = 6
Step-by-step explanation:
The sum of the angles of a triangle is 180
70+60+8x+2 = 180
Combine like terms
132 +8x = 180
Subtract 132 from each side
132+8x-132= 180-132
8x = 48
Divide each side by 8
8x/8 = 48/8
x = 6
Answer: D. 44
Step-by-step explanation:
Here, we need to know the concept of trigonometry.
- Sine (sin) = Opposite/Hypotenuse = O/H
- Cosine (cos) = Adjacent/Hypotenuse = A/H
- Tangent (tan) = Oppostie/Adjacent = O/A
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Given
- The adjacent side of angle x and the hypotenuse.
- We are going to use Cosine.
<u>Solve</u>
cos (x) = 15/21
x = cos⁻¹ (15/21)
x ≈ 44
Hope this helps!! :)
Please let me know if you have any questions