Answer:
is equal to 8 1/27
Step-by-step explanation:
(2
1
3
)(3
4
9
)
=
7
3
(3
4
9
)
=
7
3
(
31
9
)
=
217
27
=8
1
27
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:
2 and 3
Step-by-step explanation:
So, 24=2x2x2x3
42=2x3x7
3 and 2
<u>(Note: this answer is assuming that the equation has to be put in slope-intercept format.)</u>
Answer:
Step-by-step explanation:
1) Let's use the point-slope formula to determine what the answer would be. To do that though, we would need two things: the slope and a point that the equation would cross through. We already have the point it would cross through, (-3,-4), based on the given information. So, in the next step, let's find the slope.
2) We know that the slope has to be parallel to the given line, 
. Remember that slopes that are parallel have the same slope - so, let's simply take the slope from the given equation. Since it's already in slope-intercept form, we know that the slope then must be 
.
3) Finally, let's put the slope we found and the x and y values from (-3, -4) into the point-slope formula and solve:
Therefore, 
is our answer. If you have any questions, please do not hesitate to ask!
