The international space station has small cupboards that are used for storage. A cupboard is drawn below (redrew by me cause I'm using chrome book and computer)
1. What is a formula that can be used to find the area of one triangular section of the door?
2. How do you know the formula will work?

Answer:

[tex]A=\frac{ab}{2}[/tex] or [tex]A = a *\sqrt{c^2-a^2} /2[/tex]

Step-by-step explanation:

Depending on the values you take depends on the equation you would use to solve for the area of a right triangle(the first answer accounts for measuring both arms(the sides connected to the 90 degree angle(a and b)), where as the second answer accounts for using the hypotenuse and one of the arms). That means that a 90 degree angle is involved, or as illustrated here, the square in the bottom right corner. If this were a non-right angle triangle, a different formula utilizing the height of the triangle would be used instead.

[tex]A = \frac{h_{b}+b}{2}[/tex]

Since the right angle exists, a height is already given using one of the arms of the triangle in its place. We can also confirm it is a triangle by adding up all degrees of the triangle, in which it would equal 180 degrees confirming it is indeed a triangle as well.

By using trigonometric relations we will see that the area is:

How to find the area of one triangular section?

Remember that the area of a right triangle is equal to the product between the cathetus divided by 2.

Sadly, here we don't have the measures of any sides of the triangle, so getting the actual area is impossible, but if we assume that some dimension is given (like the height, let's say that is h).

h is the cathetus adjacent to the 60° angle, then the other cathetus (the bottom one) is given by:

tan(60°) = x/h

x = tan(60°)*h

Then our two catheti are h and tan(60°)*h.

This means that the area will be:

Here we only used trigonometric properties, so this area will work for any height given (always that the value of h is the cathetus adjacent to the 60° angle).

If you want to learn more about right triangles:

brainly.com/question/2217700

#SPJ1

Given the equation 6x + 18 = 72:

Part A: Write a short word problem about a purchase made to illustrate the equation. (6 points)

Part B: Solve the equation showing all work. (4 points)

help please i need this done in under 20 mins
zoom in if you can't see

HEEEEEEEEELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!! AS FAST AS YOU CAN I WILL GIVE BRAINIEST TO THE RIGHT ANSWER 30 POINTS!!!!!!!!!!
Given the inequality 3(n − 6) < 2(n + 12), determine which integer makes the inequality false.
S:{−5}
S:{3}
S:{12}
S:{42}
I WILL GIVE BRAINIEST FOR THIS ONE!!

We are learning Dividing with fractions

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options

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x y

0 2

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C:
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D:
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(a)Write an equation that represents the situation. Use c to represent the original cost of the toy.
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(REPLY FOR EXTRA POINTS) School hack:
If you have a question something like this: "Determine which integer makes the inequality 6(n − 5) < 3(n + 4) true."
The answer would most likely be the last answer choice.
This is because when teachers create the question they put it as the last one to make you work out all of the firsts ones first so you can do more work which means more practice.
I'm not 100% sure, but I had a question like this and the answer was the last one.
Hope this school hack helps!! :)

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same-side interior

corresponding

acute

alternate interior

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see the screenshot................

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