Answer:
C. -1/2
Step-by-step explanation:
7π/6 radians is equivalent to (7π/6)(180°/π) = 210°, a 3rd-quadrant angle whose reference angle is 30°. The sine of angles in the 3rd quadrant is negative.
sin(30°) = 1/2
sin(210°) = -sin(30°) = -1/2
_____
In radians mode, your calculator can tell you this result directly.
Answer:
There are 20 vegetable plants in garden.
Step-by-step explanation:
We are given the following in the question:
Percentage of flowers = 60%
Percentage of vegetable = 40%
Number of plants in garden = 50
Number of vegetables in garden =
![40\% \times \text{Number of plant}\\\\= \dfrac{40}{100}\times 50\\\\= 20](https://tex.z-dn.net/?f=40%5C%25%20%5Ctimes%20%5Ctext%7BNumber%20of%20plant%7D%5C%5C%5C%5C%3D%20%5Cdfrac%7B40%7D%7B100%7D%5Ctimes%2050%5C%5C%5C%5C%3D%2020)
Number of flowers in garden =
![60\% \times \text{Number of plant}\\\\= \dfrac{60}{100}\times 50\\\\= 30](https://tex.z-dn.net/?f=60%5C%25%20%5Ctimes%20%5Ctext%7BNumber%20of%20plant%7D%5C%5C%5C%5C%3D%20%5Cdfrac%7B60%7D%7B100%7D%5Ctimes%2050%5C%5C%5C%5C%3D%2030)
Thus, there are 20 vegetable plants in garden.
Answer:b -2
Step-by-step explanation:
8t + 5 = 6t + 1 subtract 1 from both sides
8t + 4 = 6t subtract 8t from both sides
4 = -2t divide -2 from both sides
-2 = t
Have a nice day :)
The area of triangle BMN is 124.7 square centimeter.
<h3>What are similar triangles?</h3>
Similar triangles are triangles that their corresponding angles are equal and the ratio of their corresponding lengths are equal. They are often similar When at least Two angles are equal or The ratio of any corresponding lengths are same.
Analysis:
AB = AC = BC = 50cm
AH = AC/2 = 50/2 = 25cm
From Δ ABH, using Pythagoras theorem to find BH.
=
- ![(AH)^{2}](https://tex.z-dn.net/?f=%28AH%29%5E%7B2%7D)
=
- ![25^{2}](https://tex.z-dn.net/?f=25%5E%7B2%7D)
= 2500 - 625
= 1875
BH =
= 43.3cm
ΔBMN and BHC are similar,
so, BM/BH = MN/HC
BM/43.3 = 12/25
25BM = 12 X 43.3
BM = 519.6/25 = 20.78cm
Area of ΔBMN
= 1/2(MN)(BM) = 1/2 x 12 x 20.78 = 124.7 square centimeter
Learn more about similar triangles: brainly.com/question/2644832
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Answer:
The equation for the line that passes through the points (4,8) and (6,2)
is y + 3 x -20 = 0
Step-by-step explanation:
Here, the given points are (4,8) and (6,2)
So, the slope of the equation joining two points is ![m = \frac{y_2- y_1}{x_2 - x_1} = \frac{2-8}{6-4} =\frac{-6}{2} = -3\\](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7By_2-%20y_1%7D%7Bx_2%20-%20x_1%7D%20%20%3D%20%5Cfrac%7B2-8%7D%7B6-4%7D%20%3D%5Cfrac%7B-6%7D%7B2%7D%20%20%3D%20-3%5C%5C)
⇒Slope of the given line is m = -3
Now, by POINT SLOPE FORMULA:
Equation of a line is (y - y0) = m (x-x0)
Here, equation of the line with (x0, y0) = (6,2) is
y - 2 = (-3)(x - 6)
or, y -2 = -3x + 18
⇒ y+ 3x -20 = 0
Hence, the equation for the line that passes through the points (4,8) and (6,2) is y+ 3x -20 = 0