Answer:
17.7 cm^2
Step-by-step explanation:
Use trig to find the height of the triangle. Then the area is bh/2.
Extend side BC to the right until it is vertically below point A. Draw a segment from point A vertically down until it intersects the extension of side BC. Call the point of intersection D. <D is a right angle.
Use triangle ABD to find the height, AD, of triangle ABC.
For <B of 37 deg, AD is the opposite leg. AB is the hypotenuse. The trig ratio that relates the opposite lefg to the hypotenuse is the sine.
sin B = opp/hyp
sin 37 deg = AD/13.1
AD = 13.1 * sin 37 deg
AD = 7.9
AD is the height of triangle ABC. BC is the base. We can find the area of triangle ABC.
area = bh/2
area = (4.5 cm)(7.9 cm)/2
area = 17.7 cm^2
The number of grams is 20 grams
Let x represent how many grams of a 15 percent alcohol solution
15%x+30%.40/x+40
=25%
0.15x+0.4.30=0.25 (x+40)
0.15x+12=0.25x+10
0.15x-0.25x=10+12
-0.1x=-2
x=-2/-0.1
x=20
Inconclusion The number of grams is 20 grams
Learn more here:
brainly.com/question/24750329
Answer:
(2,4)
Step-by-step explanation:
The solution for the system is where the two lines intersect.
The two lines intersect at x = 2 and y =4
(2,4)
