Find the area of a segment of a circle if its arc is 120 degrees and the radius is 3 inches.
1 answer:
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Answer:
Step-by-step explanation:
First, we need to find how much extra water Nathan drinks.
extra ounces.
To find the percent increase:
(to the nearest percent)
Hope this helps :)
Simple...
you have:
1.) x-3y when x=-4 and y=9
-->>> (plug it in)
-4-3(9)
-4-27
-31
2.) a-|b| when a=-7.6 and b=-8.9
-->>>(plug it in)
-7.6-|-8.9|
-16.5
3.) 3(8x-y) when x=-4 and y=9
-->>(plug it in)
3(8(-4)-9)
3(-32-9)
3(-41)
-123
4.)
when c=2 and d=
54
Thus, your answer.
you have:
1.) x-3y when x=-4 and y=9
-->>> (plug it in)
-4-3(9)
-4-27
-31
2.) a-|b| when a=-7.6 and b=-8.9
-->>>(plug it in)
-7.6-|-8.9|
-16.5
3.) 3(8x-y) when x=-4 and y=9
-->>(plug it in)
3(8(-4)-9)
3(-32-9)
3(-41)
-123
4.)
54
Thus, your answer.
Length of segment of the hypotenuse adjacent to the shorter leg is 5 inches and the length of the altitude is 3 inches.
Step-by-step explanation:
Step 1: Let the triangle be ΔABC with right angle at B. The altitude drawn from B intersects the hypotenuse AC at D. So 2 new right angled triangles are formed, ΔADB and ΔCDB.
Step 2: According to a theorem in similarity of triangles, when an altitude is drawn from any angle to the hypotenuse of a right triangle, the 2 newly formed triangles are similar to each other as well as to the bigger right triangle. So ΔABC ~ ΔADB ~ ΔCDB.
Step 3: Identify the corresponding sides and form an equation based on proportion. Let the length of the altitude be x. Considering ΔABC and ΔADB, AB/DB = AC/AB
⇒ 6/x = 12/6
⇒ 6/x = 2
⇒ x = 3 inches
Step 4: To find length of the hypotenuse adjacent to the shorter leg (side AB of 6 inches), consider ΔADB.
⇒
⇒
⇒
⇒
⇒
⇒AD = 5 inches