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Alexeev081 [22]
2 years ago
12

Which THREE pairs of measurements are possible side lengths for a 30-60-90 triangle?

Mathematics
1 answer:
9966 [12]2 years ago
4 0

Answer:

1, 5 and 6.

Step-by-step explanation:

The sides of this triangles has lengths in the ratio x : √3x : 2x where 2x is the hypotenuse.

When C = 30,  the side AB is the small leg  (=x).

When B = 90, the hypotenuse is  AC ( =2x).

When A =  60, the larger leg is BC (=√3x).

1.  AB = 4, BC = 4√3 :- Are possible legs.

5 AB = 7, AC = 14. :-  AB = small leg, AC = hypotenuse.

6. AB = 11, BC = 11√3:-   AB = small, BC = larger leg.

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Look at the image.

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3 years ago
6. Calculate the area of the octagon in the<br> figure below.
Kryger [21]

Answer:

41\text{ [units squared]}

Step-by-step explanation:

The octagon is irregular, meaning not all sides have equal length. However, we can break it up into other shapes to find the area.

The octagon shown in the figure is a composite figure as it's composed of other shapes. In the octagon, let's break it up into:

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  • 3 rectangles (one in the middle, two on top after you remove triangles)

<u>Formulas</u>:

  • Area of rectangle with length l and width w: A=lw
  • Area of triangle with base b and height h: A=\frac{1}{2}bh

<u>Area of triangles</u>:

All four triangles we broke the octagon into are congruent. Each has a base of 2 and a height of 2.

Thus, the total area of one is A=\frac{1}{2}\cdot 2\cdot 2=2\text{ square units}

The area of all four is then 2\cdot 4=8 units squared.

<u>Area of rectangles</u>:

The two smaller rectangles are also congruent. Each has a length of 3 and a width of 2. Therefore, each of them have an area of 3\cdot 2=6 units squared, and the both of them have a total area of 6\cdot 2=12 units squared.

The last rectangle has a width of 7 and a height of 3 for a total area of 7\cdot 3=21 units squared.

Therefore, the area of the entire octagon is 8+12+21=\boxed{41\text{ [units squared]}}

4 0
3 years ago
Antonio moved boxes that weighed 26.5 pounds 34.2 pounds and 45.8 pounds. which is closest to number antonio moved all togehter
Andre45 [30]
B. 107 bc 26.5+34.2= 60.7+45.8= 106.5 round that to be 107.
7 0
3 years ago
What number is 30% of 90​
marta [7]

Answer:

it is 27 as you multiply .30 times 90

3 0
3 years ago
Read 2 more answers
Ok so what really is 9 10?
alina1380 [7]
I am guessing you meant 9+10 which is 19
3 0
3 years ago
Read 2 more answers
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