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Levart [38]
3 years ago
14

PLEASE HELP ME ASAP

Mathematics
1 answer:
ryzh [129]3 years ago
8 0

b^2+12b+32

Answer: (b+4)(b+8)

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Given a 30-60-90 triangle with a long leg of 9 inches, determine the length of the hypotenuse
lianna [129]

A Quick Guide to the 30-60-90 Degree Triangle

The 30-60-90 degree triangle is in the shape of half an equilateral triangle, cut straight down the middle along its altitude. It has angles of 30°, 60°, and 90°. In any 30-60-90 triangle, you see the following: The shortest leg is across from the 30-degree angle, the length of the hypotenuse is always double the length of the shortest leg, you can find the long leg by multiplying the short leg by the square root of 3.

Note: The hypotenuse is the longest side in a right triangle, which is different from the long leg. The long leg is the leg opposite the 60-degree angle.

Two of the most common right triangles are 30-60-90 and the 45-45-90 degree triangles. All 30-60-90 triangles, have sides with the same basic ratio. If you look at the 30–60–90-degree triangle in radians, it translates to the following:

30, 60, and 90 degrees expressed in radians.

The figure illustrates the ratio of the sides for the 30-60-90-degree triangle.

A 30-60-90-degree right triangle.

A 30-60-90-degree right triangle.

If you know one side of a 30-60-90 triangle, you can find the other two by using shortcuts. Here are the three situations you come across when doing these calculations:

Type 1: You know the short leg (the side across from the 30-degree angle). Double its length to find the hypotenuse. You can multiply the short side by the square root of 3 to find the long leg.

Type 2: You know the hypotenuse. Divide the hypotenuse by 2 to find the short side. Multiply this answer by the square root of 3 to find the long leg.

Type 3: You know the long leg (the side across from the 60-degree angle). Divide this side by the square root of 3 to find the short side. Double that figure to find the hypotenuse.

Finding the other sides of a 30-60-90 triangle when you know the hypotenuse.

Finding the other sides of a 30-60-90 triangle when you know the hypotenuse.

In the triangle TRI in this figure, the hypotenuse is 14 inches long; how long are the other sides?

Because you have the hypotenuse TR = 14, you can divide by 2 to get the short side: RI = 7. Now you multiply this length by the square root of 3 to get the long side:

The long side of a 30-60-90-degree triangle.

6 0
3 years ago
Which line is being represented by the graph?
Yakvenalex [24]

Answer:

The answer is <em><u>C,</u></em><em><u> </u></em><em><u>y=</u></em><em><u> </u></em><em><u>-</u></em><em><u>3</u></em><em><u>/</u></em><em><u>4</u></em><em><u> </u></em><em><u>+</u></em><em><u> </u></em><em><u>4</u></em>

5 0
2 years ago
Which one does not belong?
Romashka [77]

Answer:

soooooooo where's the rest of the question? LOL

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Which line plot displays a data set with an outlier?<br>giving out 20 points and please no gussing
choli [55]

Answer:

the one on the bottom left, with 23 all by its lonesome

Step-by-step explanation:

3 0
2 years ago
3 equivalent ratios for 20/15
castortr0y [4]
4/3
40/30
60/45
Simply multiply or divide both the 20 and the 15 to get an equivalent ratio.
7 0
3 years ago
Read 2 more answers
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