Answer:
Albert Einstein was a German mathematician and physicist who developed the special and general theories of relativity.
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.
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⇒AD = 5 inches
![\bf 10\cdot [2+(24-8)]\div 4\implies \stackrel{\mathbb{PEMDAS}}{10\cdot [2+(16)]\div 4}\implies 10\cdot [18]\div 4 \\\\\\ 180\div 4\implies 45](https://tex.z-dn.net/?f=%5Cbf%2010%5Ccdot%20%5B2%2B%2824-8%29%5D%5Cdiv%204%5Cimplies%20%5Cstackrel%7B%5Cmathbb%7BPEMDAS%7D%7D%7B10%5Ccdot%20%5B2%2B%2816%29%5D%5Cdiv%204%7D%5Cimplies%2010%5Ccdot%20%5B18%5D%5Cdiv%204%0A%5C%5C%5C%5C%5C%5C%0A180%5Cdiv%204%5Cimplies%2045)
recall, peMDas, Multiplication and Division, from left-to-right.
Answer:
208 calories per serving
Step-by-step explanation:
Divide 624 by 3.
Answer:
-1 x 2 = -2
Step-by-step explanation:
f(-1)=-1 x 2+1 = -1
-1 x 2 = -2
-2 + 1 = -1
g(-1) = 3 x -1 +5 = 2
3 x -1 + -3
-3 + 5 = 2
:)