Answer:
125
Step-by-step explanation:
2375/19
Answer:
AC = 8√3 AC = 7.65
A = 43.17° AB = 16.8
B = 46.83° B = 27°
Step-by-step explanation:
FIRST TRIANGLE
by using pythagorus theorem:
Hypo² = Base² + height²
19² = 13² + AC²
AC² = 19² - 13²
AC² = 192
AC = √192
AC = 8√3
sinФ =base/hypo
sin A = 13/19
A = sin^-1 (13/19)
A = 43.17°
43.17°+ B + 90° =180 (sum of angles of triangle)
B = 180° - 133.17°
= 46.83°
<h3>SECOND TRIANGLE</h3>
TanФ = base/height
Tan 63° = 15 / AC
1.96 = 15/AC
AC = 15/1.96
AC = 7.65
AB² = AC² + BC²
AB² = 7.65² + 15²
AB² = 283.5
AB = √283.5
AB = 16.8
tan B = AC /BC
tanФ = 7.65/15
tanФ = 0.51
Ф = tan^-1(0.51)
B = 27°
<em><u>Hope</u></em><em><u> </u></em><em><u>t</u></em><em><u>h</u></em><em><u>i</u></em><em><u>s</u></em><em><u> </u></em><em><u>will</u></em><em><u> </u></em><em><u>help</u></em><em><u> </u></em><em><u>u</u></em><em><u>.</u></em><em><u>.</u></em><em><u> </u></em>
Drinks, x, and popcorn, y.
38.75 = 5x+2y
37.25 = 3x + 4y
Let's solve this using the elimination method
subtract the 2nd row from the first
<span>7x=40.2<span>5
divide both sides by 7 to isolate x
</span></span><span>x=5.7<span>5
Substitute x into an equation
</span></span><span><span>10(5.75)+4y=77.5
multiply
</span></span>57.5+4y=77.<span>5
subtract 57.5 from both sides
</span>4y=77.5−57.<span>5
Simplify
</span>4y=2<span>0
divide both sides by 4 to isolate y
y = 5
To check you would plug x and y into the equations and see if it equals properly...
The price of drinks is $5.75, the price of popcorn is $5.
Hope this helps
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