Slope of AB=(2-3)/(1+1)=-1/2; AC=(-1-3)/(-3+1)=-4/-2=2; BC=(-1-2)/(-3-1)=-3/-4=3/4.
The product of two sides that are perpendicular is -1. Slopes of AB and AC are perpendicular so angle A is a right angle. ABC is a right-angled triangle.
The answer would be 3/7
Explanation:
This question is basically asking for you to simplify 12/28. To do this, we find the GCF (Greatest Common Factor) of 12 and 28, which is 4. Then, we do 12 / 4 and 28 / 4, which gives us 3 and 7. Therefore, the answer is 3/7.
Answer: The distance between the girls is 362.8 meters.
Step-by-step explanation:
So we have two triangle rectangles that have a cathetus in common, with a length of 160 meters.
The adjacent angle to this cathetus is 40° for Anna, then the opposite cathetus (the distance between Anna and the tower) can be obtained with the relationship:
Tan(A) = opposite cath/adjacent cath.
Tan(40°) = X/160m
Tan(40°)*160m = 134.3 m
Now, we can do the same thing for Veronica, but in this case the angle adjacent to the tower is 55°
So we have:
Tan(55°) = X/160m
Tan(55°)*160m = X = 228.5 m
And we know that the girls are in opposite sides of the tower, so the distance between the girls is equal to the sum of the distance between each girl and the tower, then the distance between the girls is:
Dist = 228.5m + 134.3m = 362.8m
In order to know what is the reasonable amount of tile for
Mandana to order, you have to divide the choices with the area of the floor and
deduct with 1 and multiply by 100. You have to assess if the answer you will
get will fall between 15% and 20% which is the goal of Mandana.
<span>a.
</span>131/116.9 = (1.1206 – 1) x 100 = 12.06%, this
does not fall between 15% and 20%
<span>b.
</span>138/116.9 = (1.1805 – 1) x 100 = 18.05%, this
fall between 15% and 20%
<span>c.
</span>133/116.9 = (1.1377 – 1) x 100 = 13.77%, this
does not fall between 15% and 20%
<span>d.
</span>141/116.9 = (1.2062 – 1) x 100 = 20.62%, this
does not fall between 15% and 20%
Therefore, the reasonable amount of tile for Madana to order
that is between 15% and 20% extra of the materials is 138 square feet.
