Answer:
8.4 square units
Step-by-step explanation:
See attachment for the figure.
Trigonometric area formula is Area =![\frac{1}{2}\times absin(C)](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%5Ctimes%20absin%28C%29)
Where a and b are two sides of the triangle and C is the angle between these two sides.
Given:
side a = 6 units, c = 2√2 units and ∠B = 80°
Then area of the triangle :
Area = ![\frac{1}{2}\times acsin(B)](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%5Ctimes%20acsin%28B%29)
= ![\frac{1}{2}\times acsin(B)](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%5Ctimes%20acsin%28B%29)
= ![\frac{1}{2}\times 6\times 2\sqrt{2}\times sin(80)](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%5Ctimes%206%5Ctimes%202%5Csqrt%7B2%7D%5Ctimes%20sin%2880%29)
= 6√2×sin80°
= 6×(1.414)×0.9848
= 8.36 square units
≈ 8.4 square units
Answer:
11, 16
Step-by-step explanation:
the difference between -4 and -9, 1 and -4, 6 and 1 is 5...so add 5 to 6 = 11
then 11 + 5 = 16
Answer:
y-intercept (0,11/5)
x-intercept (11/2,0)
Step-by-step explanation:
The y-intercept is obtained when the x-coordinate equals 0 (x=0)
so the y-intercept is (0,11/5)
The x-intercept is obtained when the y-coordinate equals 0 (y=0)
In this case
0 = -(2/5)x+11/5---->(2/5)x = 11/5 ----> x=(5*11)/(5*2) = 11/2
So the x-intercept is (11/2,0)
Answer:
f=8
Step-by-step explanation:
0.62(f+(-6)+6.96=8.2
0.62(f-6)+6.96=8.2
multiply both sides by 100
0.62(f-6)*100+6.96*100=8.2*100
Refine
62(f-6)+696=820
Subtract 696 from both sides
62(f-6)+696-696=820-696
Simplify
62(f-6)=124
Divide both sides by 62
62(f-6)/62 = 124/62
Simplify
f-6=2
add 6 to both sides
f-6+6=2+6
simplify
f=8
Let, price of fudge and gum is x and y respectively.
Converting given statements into mathematical equation.
We get :
5x + 3y = 5.70 ....1)
2x + 10y = 3.60 ....2)
Solving equation 1 and 2, we get :
x = $1.05 .
y = $0.15 .
Price of buying 20 pieces of fudge and 20 pieces of bubble gum is :
P = 20( 1.05 ) + 20( 0.15 )
P = $24
Hence, this is the required solution.