Lily is redecorating her house. She needs to work out the area of the wall around her
1 answer:
*the complete diagram is given in the attachment below
Answer:
✔️ 198.7 m²
✔️$219.9
Step-by-step explanation:
✔️Area around the wall to be painted = area of rectangle - area of triangle
= L×B - ½ab×sin(C)
Where,
L = 17 m
W = 14 m
a = 9.5 m
b = 8.7 m
C = 72°
Plug in the values
Area around the wall to be painted = 17×14 - ½×9.5×8.7×sin(72)
= 238 - 39.3024105
≈ 198.7 m² (nearest tenth)
✔️Cost of painting the wall:
Paint cost $21.99 per container of 20 liters
Find how many liters would be needed if 1 liter covers 1m²
Liters needed to cover 198.7 m² = 198.7*1 = 198.7 liters of paint
20 liters = 1 container,
198.7 liters = 198.7/20 = 9.935 ≈ 10 containers
1 container cost $21.99
10 containers = 21.99×10 = $219.9
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Step-by-step explanation:
<u>Step 1: Factor the equation</u>
<u>Step 2: Find the x-intercepts of the graph of f(x)</u>
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<u>Step 3: Describe the end behavior of the graph of f(x)</u>
Since the function is to the power of 2, that means that it is a parabola. And since the leading coefficient is negative, means that the arrows will be pointing down therefore, the end behavior of this graph is as x goes to infinity, f(x) goes to negative infinity and as x goes to negative infinity, f(x) goes to negative infinity.
<u>Step 4: What are the steps you would use to graph f(x)</u>
The first step that I would do is factor the equation. Then I would find the x-intercepts of the graph and plot them on the graph. I would then plug in 0 for all of the x values to get the y intercept. After doing that I would get the vertex using the vertex formula plotting it on the graph. Finally, I would connect all of the dots together to form the graph of the equation.