For this, you would use simultaneous equations.
w=walnuts
a=almonds
3w+6a=51
5w+4a=55
Find a way to make one of the unknowns equal. since we are trying to work out the price of a pound of walnuts, I am going to make a equal on each side to leave us with w. This leaves us with:
15w+12a=165
6w+12a=102
Then take them away to leave w:
9w=163
Then solve:
w=163/9
= 18.11111111...
Then round it to 2 decimal places as the measurement is currency.
So 1 pound of walnuts equals $18.11
For one of the triangular sides, 2.6 x 4 = 10.4 divided by 2 = 5.2
Other triangle; 2.6 x 3 = 7.8 /2 = 3.9
Rectangular side in front; 6.5 x 3 = 19.5
Back; 6.5 x 4 = 26
Base; 6.5 x 2.6 = 16.9
Answer: For the surface area it is 74.6 (SUPER SORRY IF THIS ISNT RIGHT OMG)
Answer:
The angle of elevation of the sun is 39⁰
Step-by-step explanation:
Given;
height of the tree, h = 96 ft
length of the shadow, L = 120 ft
|
| 96ft
|
|
θ------------------------------------
120ft
Completing this triangle to cut across the top of the tree gives you a right angled triangle with θ as the angle of elevation of the sun.
Apply trig-ratio to determine the angle of elevation of the sun;
tanθ = opposite side / adjacent side
tanθ = 96 / 120
tanθ = 0.8
θ = tan⁻¹(0.8)
θ = 38.7⁰
θ = 39⁰
Therefore, the angle of elevation of the sun is 39⁰
Your answer is x = 3.
-3(x + 5) = 6 - 3(2x + 4)
-3x - 15 = 6 -6x - 12
-3x - 15 = -6 - 6x
-3x + 6x = -6 + 15
3x = -6 + 15
3x = 9
x = 3
The area of a circle is area = pi x r^2
The full area = 3.14 x 20^2 = 1256 square feet.
The corner forms a 90 degree angle so the dirt area is 3/4 of a full circle.
Answer = 1256 x 3/4 = 942 square feet
