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Answer: A) 45 square cm</h3>
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Explanation:
The length of 17 cm and slanted length of 10 cm are not used at all. They are likely thrown in as a distraction.
Instead, we focus on the horizontal base of 10 cm and the vertical height of 9 cm. The base and height are always perpendicular to one another.
The area of the triangle is therefore...
area = base*height/2
area = 10*9/2
area = 90/2
area = 45 square cm
It doesn't matter that this triangle is obtuse, the same area formula applies to any triangle.
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A longer method would have you compute the area of the dashed triangle, and the area of the two combined triangles (the largest overall triangle). Subtracting the two would lead to the answer of 45 cm^2. You'll need the pythagorean theorem to find the base of the dashed triangle, which then helps find the base of the largest triangle overall as well. At this point is when the 17 and 10 come into play, but I find the first method is much easier.
5.5hours to drive264 miles
7 hours to drove (264÷5.5)× 7 =....
Okay, so these problems can be quite tricky because a lot of it is remembering little rules but let me tell you how you can figure out this one! :)
Also just a little warning is that I'm not quite good at remembering the math terms for different parts so please don't mind that :P
Alright, since G is the centroid then it is in the middle of BE! That means segment BE is cut into two different parts! A 1/3 part and a 2/3 part. You can probably tell by looking which part is which because 1/3 is less than 2/3.
Hopefully you get what I'm saying so far :)
Now since you know there are two parts (a 1/3 and 2/3 segmet of BE). You can just figure each of them out considering you know BE's whole length! So 1/3 of 9 is 3 and 2/3 of 9 is 6. SO the 1/3 section is equal to 3 and the 2/3 section is equal to 6!!!! Now you practically have your answer right there!
Notice that the bigger part is segment GE (the 2/3 part) and the smaller part is BG (the 1/3 part). Since you know the 1/3 and 2/3 equal and what segment they are you have the answer!
BG = 3 and GE = 6
I really hope that helps! ^-^ Let me know if you have any questions! :3
- mathwizzard3
Answer:
x = 7 times the square root of 3
y = 14
Step-by-step explanation:
3 layer 14 cases multiply
3×14=42 cases