Please help. This is summer homework that's due in 2 days!
1 answer:
Split the surface area into geometric shapes as shown in the figure below.
Top part
The area of one triangle is
A₁ = (1/2)*(10 cm)*(4 cm) = 20 cm²
There are 3 of these triangles.
Vertical sides..
The area of one vertical side is
A₂ = (10 cm)*(6 cm) = 60 cm²
There 3 of them.
Bottom part
The triangle is equilateral with each side = 10 cm, and each angle = 60 deg.
The area is (from the Law of Sines) equal to
A₃ = (1/2)(10 cm)*(10 cm)*sin(60) = 43.3 cm²
The total surface area is
3A₁ + 3A₂ + A₃
= 3*20 + 3*60 + 4.3
= 283.3 cm²
Answer: The surface area is 283.3 cm²
Top part
The area of one triangle is
A₁ = (1/2)*(10 cm)*(4 cm) = 20 cm²
There are 3 of these triangles.
Vertical sides..
The area of one vertical side is
A₂ = (10 cm)*(6 cm) = 60 cm²
There 3 of them.
Bottom part
The triangle is equilateral with each side = 10 cm, and each angle = 60 deg.
The area is (from the Law of Sines) equal to
A₃ = (1/2)(10 cm)*(10 cm)*sin(60) = 43.3 cm²
The total surface area is
3A₁ + 3A₂ + A₃
= 3*20 + 3*60 + 4.3
= 283.3 cm²
Answer: The surface area is 283.3 cm²
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Answer:
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Step-by-step explanation:
So, first of all. to find the equation of the line, the equation has to be in form. In this for the following are:
is the slope of the line
is the y intercept
Solving
So, first of all, to find the equation of the line, we can get two points from the line, you can pick any points you want, but for this case, I will be using (0,-2) and (-2,0).
To solve for the slope, we can use rise over run to find the equation.
Upon inserting our points into the equation, we get a slope of -1.
Creating The Equation
To create the equation in form, we need to know what the intercept and the slope are, for which we solved above. We can now put in the things we found to get our final equation.
We know the slope has to be -1 as we solved for that, and because the line is decending downwards, we can interpret the slope as down 1 right 1.
We know that b is -2 because the y intercept is -2 and b is equal to the y intercept. Therefore the b cation is -2.
Cheers!