1. Given any triangle ABC with sides BC=a, AC=b and AB=c, the following are true :
i) the larger the angle, the larger the side in front of it, and the other way around as well. (Sine Law) Let a=20 in, then the largest angle is angle A.
ii) Given the measures of the sides of a triangle. Then the cosines of any of the angles can be found by the following formula:
a^{2}=b ^{2}+c ^{2}-2bc(cosA)
2.
20^{2}=9 ^{2}+13 ^{2}-2*9*13(cosA) 400=81+169-234(cosA) 150=-234(cosA) cosA=150/-234= -0.641
3. m(A) = Arccos(-0.641)≈130°,
4. Remark: We calculate Arccos with a scientific calculator or computer software unless it is one of the well known values, ex Arccos(0.5)=60°, Arccos(-0.5)=120° etc
Answer:
<h3>The answer is option D</h3>
Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
y = 2x + 4
comparing with the above equation for a line
The slope / m = 2
Since the lines are parallel their slope are also the same
Slope of parallel line = 2
So we have
The equation of the line using point
( 3 , -2) and slope 2 is
y + 2 = 2( x - 3)
y + 2 = 2x - 6
y = 2x - 6 - 2
We have the final answer as
<h3>y = 2x - 8</h3>
Hope this helps you
Answer:
90 degrees, 60 degrees and 30 degrees
Step-by-step explanation:
90/3 = 30
30 x 2 = 60
Answer:
12
Step-by-step explanation:
To have an even integer the number's endian has to be an even number. Consider the 2-digit positive number like _ _ and place the number of possible options out of four total options in each blank space. We have 3 even options, so we can fill the endian blank like this _ <u>3</u>
Since the first digit can be any number, therefor, we have 4 options for the first blank space <u>4</u> <u>3</u>. Just multiply the two numbers and you have the answer.
22, 24, 28, 42, 44, 48, 52, 54, 58, 82, 84, 88
Answer:
I don't see a polygon anywhere...
