First of all, we have to observe this triangles separated by the height. These small and big triangles are similar according to the Angle-Angle-Angle principle.
a. We can find all of these length using the cosine of the angle, Pythagoras theorem and the principle of the similarity of triangles.
b. According to the cosine of the angle we can write that, cosθ = 12/a = 5/13 and from here a = 31.2. After finding that using Pythagoras theorem, we can write that 
. According to the similarity of the triangles, we can write that 31.2/d = 28.8/12 and d = 13. Applying Pythagoras theorem we find that c = 5.
c. We already gave the answer for this question in part b
Answer:
(-2,3)
Step-by-step explanation:
For the point to be 2/3 of the way; it means it divides AB into the ratio 2 to 1
Now, we can use the internal section formula to get the coordinates of this point
(x,y) = (nx1 + mx2)/(m + n), (ny1 + my2)/(m + n)
where (m,n) = (2,1)
(x1,y1) = (-4,-1)
(x2,y2) = (5,5)
(x,y) = (1(-4) + 2(-1)/(1+2), (1(-1)+2(5)/(1+2)
(x,y) = (-4-2)/3, (-1 + 10)/3
(x,y) = (-2,3)
Answer:
These are the steps u need to do
3 x -2a
3x 4
Then just put 3a next to it
And add all up the variables or the ones that has an a
Step-by-step explanation:
Answer:
Screen 1: 200, Screen 2: 125 , Screen 3: 175
Step-by-step explanation:
Screen 1
Multiply 40% and 500
Convert 40% to a decimal
40/100=0.40
500*0.40
200
Screen 2
Multiply 25% and 500
Convert 25% to a decimal
25/100=0.25
500*0.25
125
Screen 3
Subtract the amount of people that went to screens 1 and 2 from the total
500-200-125
175
So, Screen 1 had 200 visitors, 2 had 125 and 3 had 175
Hope this helps! :)
Answer:
See below
Step-by-step explanation:
If the question is how many miles did they drive per day, then 2906 / 6 = 484 1/3 miles
