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1 year ago

Chapter 4: Explain how you can

Mathematics

1 answer:

xxTIMURxx [149]1 year ago

3 0

x-intercept(s):

( 7 , 0 ) , (-1,0)

y-intercept(s):

(0,-7)

Step-by-step explanation:

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when a pair of shoes is sold at 12.5% discount, the selling price is 78.75. Find the original price of the pair of shoes and the

faltersainse [42]

The original price was 90$ so you saved 11.25$

3 0

3 years ago

8 x 5/6 = z<br> What is z?<br><br> A. 53/6<br> B. 40/6<br> C. 13/48<br> D. 5/48

blondinia [14]

Answer:

$\huge \boxed{ \boxed{\mathbb{B)} \frac{40}{6} }}$

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>

equation
PEMDAS

<h3>given:</h3>

8×⅚=z

<h3>let's solve:</h3>

$\sf multiply \: both \: sides \: by \: 6 : \\ (8 \times \frac{5}{6} ) \times 6 = z \times 6$
$\sf simplify : \\ 8 \times 5 = 6z \\ 40=6z$
$\sf divide \: both \: sides \: by \: 6 : \\ \frac{6z}{6} = \frac{40}{6} \\ z = \frac{40}{6}$

5 0

2 years ago

Read 2 more answers

Nine new employees, two of whom are married to each other, are to be assigned nine desks that are lined up in a row. If the assi

meriva

Answer:

The probability is 0.8

Step-by-step explanation:

The key to answering this question is considering the fact that the two married employees be treated as a single unit.

Now what this means is that we would be having 8 desks to assign.

Mathematically, the number of ways to assign 8 desks to 8 employees is equal to 8!

Now, the number of ways the couple can interchange their desks is just 2 ways

Thus, the number of ways to assign desks such that the couple has adjacent desks is 2(8!)

The number of ways to assign desks among all six employees randomly is 9!

Thus, the probability that the couple will have adjacent desks would be ;

2(8!)/9! = 2/9

This means that the probability that the couple have non adjacent desks is 1-2/9 = 7/9 = 0.77778

Which is 0.8 to the nearest tenth of a percent

4 0

2 years ago

Find sin 2a and cot 2a:

geniusboy [140]

Answer:

$sin(2\alpha )=2(\frac{5}{12})(\frac{12}{13})=\frac{10}{13}\\cot(2\alpha ) = \frac{16511}{18720}$

Step-by-step explanation:

$\text{if } cos(\alpha)=\frac{12}{13}\\\text{That must mean we have a triangle with base 12, and hypotenuse 13.}\\\text{Using Pythagoras, we can determine the base of the triangle must be 5.}\\a^2+b^2=c^2 \text{, where c is the hypotenuse and a, b are the two other sides.}\\c^2-b^2=a^2\\\sqrt{c^2-b^2}=a\\\sqrt{13^2-12^2}=\sqrt{169-144}=\sqrt{25}=5\\\text{Therefore, }sin(\alpha) = \frac{5}{12}\\sin(2\alpha)=2sin(\alpha )cos(\alpha)\\\text{(From double angle formulae identities)}\\$

$sin(2\alpha )=2(\frac{5}{12})(\frac{12}{13})=\frac{10}{13}\\cos(2\alpha )=cos^2(\alpha)-sin^2(\alpha)\\cos(2\alpha )=(\frac{12}{13})^2-(\frac{5}{12})^2=\frac{16511}{24336}\\cot(2\alpha)=\frac{cos(2\alpha)}{sin(2\alpha)}=\frac{\frac{16511}{24336}}{\frac{10}{13}}=\frac{16511}{18720}$