9514 1404 393
Answer:
y = 27
Step-by-step explanation:
The altitude of a right triangle creates two <em>triangles that are each similar to each other and to the larger right triangle</em>. This means corresponding sides are proportional.
If we write the proportion for the legs, we get ...
(long leg) / (short leg) = y/18 = 18/12
Multiplying by 18 gives us ...
y = 18(18/12)
y = 27
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<em>Additional comment</em>
The leg/leg proportion above gave rise to the relation ...
altitude² = (left hypotenuse segment)×(right hypotenuse segment)
That is, the altitude is the <em>geometric mean</em> of the two hypotenuse segments it touches. 18 = √(12y)
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There are two other "geometric mean" relationships in this triangle.
- The upper left side is the geometric mean of the left hypotenuse segment and the whole hypotenuse (the two segments it touches at the bottom).
- The upper right side is the geometric mean of the right hypotenuse segment and the whole hypotenuse (the two segments it touches at the bottom).
Each of these relationships is ultimately derived from the fact that all of the triangles are similar. You really only need to remember that these triangles are all similar and corresponding sides of similar triangles are proportional. (In some cases, it can be a bit of a shortcut if you remember the geometric mean relations.)
Answer: y = 3x + 7
Step-by-step explanation:
Since we are given the slope and y intercept we could write the equation in slope intercept form as y=mx +b .Only m and b are needed to write the equation.M is the slope and B is the y intercept.
Answer:
He would have a very soggy picture!
OR if you mean the pitcher holds one twelvth of a gallon, he will have 9/12 or 3/4 of a gallon.
OR if you mean the pitcher holds two twelvths of a gallon, he ends up with 9 × 1/6 which is one and a half gallons.
Step-by-step explanation:
Spelling is important! A "picture" could be a drawing, a photograph, or a painting.
"Pitcher" could be a container for pouring liquids or a player who pitches the ball in a baseball game.
I know you wanted math help, but it is difficult to answer if I can't tell whether "to" meant "two" or he filled the pitcher to pour twelvths.
Answer:
B. 0.159
A = taking history class
B= taking sociology class
P(A) = 0.051
P(B) = 0.32
A ÷ B = 
= 0.159 Rounded the the nearest hundredth
