18.44 because Pythagorean Theorem says that 12^2 + b^2 = 22^2. Then to solve you square the numbers, 144 - b^2 = 484, then subtract 144 from 484 and get 340, and the square root of 340 is 18.44.

8 0

3 years ago

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Bill reads 1/5 of a book on Monday he reads 2/3 of the book on Tuesday if he finishes reading the book on Wednesday or fraction

ratelena [41]

Answer:

$\frac{2}{15}$

Step-by-step explanation:

We have been given that Bill reads 1/5 of a book on Monday he reads 2/3 of the book on Tuesday.

Let x be the part of book that Bill read on Wednesday. We can find x by equating the sum of parts of book read on each day by 1.

$\frac{1}{5}+\frac{2}{3}+x=1$

First of all we will find a common denominator.

$\frac{1\times 3}{5\times 3}+\frac{2\times 5}{3\times 5}+x=1$

$\frac{3}{15}+\frac{10}{15}+x=1$

$\frac{3+10}{15}+x=1$

$\frac{13}{15}+x=1$

$x=1-\frac{13}{15}$

$x=\frac{15-13}{15}$

$x=\frac{2}{15}$

Therefore, Bill read $\frac{2}{15}$ of the book on Wednesday.

7 0

3 years ago

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6) use the steps to solve this system of equations. Show your work.<br><br> Y=x+2 Y=x^2-4

zepelin [54]

y= x + 2 and y = x^2 - 4

Substitute mx + b for y

x^2 - 4 = x + 2

Solve for x

x^2 - 4 = x + 2

x^2 - x - 6 = 0

(x - 3)(x + 2) = 0

x - 3 = 0; x = 3

x + 2 = 0; x = -2

Substitute the first x value into the linear equation and solve for y

y = 3 + 2

y = 5

One solution is (3, 5)

Substitute the second x value into the linear equation and solve for y

y = -2 + 2

y = 0

Another solution is (-2 , 0)

7 0

3 years ago