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Komok [63]
3 years ago
12

Chapter 7: Right Triangle Relationships and

Mathematics
1 answer:
Ipatiy [6.2K]3 years ago
5 0

Answer:

the square of greater side is equal to the sum of two other side in right angled rectangle

Step-by-step explanation:

also known as trigonometry of Pythagoras.

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You go shopping at a local department store with your friend and cousin. You buy one pair of jeans, four pairs of shorts, and tw
VashaNatasha [74]

Answer: Cost per pair of jeans = $ 20

Cost per pair of shorts = $12

Cost per shirt = $8

Step-by-step explanation:

Let x= cost per pair of jeans

y = Cost per pair of shorts

z= cost per shirt.

For you, total cost = x+4y+2z= 84

For your friend,  total cost = 2x+y+3z=76

For cousin, total cost = x+2y+z= 52

Required system:

x+4y+2z=84\ (i)\\ 2x+y+3z=76\ (ii)\\ x+2y+z=52\ (iii)

from (i), x=84-4y-2z    (*)

put this in (ii) and (iii) we get

2\left(84-4y-2z\right)+y+3z=76\\\Rightarrow\ -7y-z+168=76\ (iv)\\\\ 84-4y-2z+2y+z=52\\\Rightarrow\ -2y-z+84=52 \ (v)

from (iv), y=-\frac{z-92}{7}\ (vi)

\mathrm{Subsititute\:}y=-\frac{z-92}{7}\ \text{in}\ (v)

-2\left(-\frac{z-92}{7}\right)-z+84=52\\\\\Rightarrow\ -2\left(-\frac{z-92}{7}\right)-z=-32\\\\\Rightarrow\ -\frac{5z}{7}-\frac{184}{7}=-32\\\\\Rightarrow\ -5z-184=-224\\\\\Rightarrow\ -5z=-40\\\\\Rightarrow\ z=8

\mathrm{Subsititute\:}z=8\text{ in (vi)}

y=-\frac{8-92}{7}\\\\\Rightarrow \ y=12

\mathrm{Subsititute\:}z=8,\:y=12\text{ in (*)}

x=84-4\cdot \:12-2\cdot \:8\\\\\Rightarrow\ x= 20

Hence, x= 20, y= 12 , z=8

So, Cost per pair of jeans = $ 20

Cost per pair of shorts = $12

Cost per shirt = $8

7 0
3 years ago
One month Ashley rented 2 movies and 5 video games for a total of $33. The next month she rented 8 movies and 3 video games for
Ray Of Light [21]

To answer this question, you should set up and equation before doing anything else. So for this question you 're going to set up two equations.

The first equation is 2x+5y=33

The second equation is 8x+3y=30

Once you do that you have to solve for either X or Y by canceling out the other one. In this problem figuring out the Y is easier because you can cancel the X's more easily than the Y. To cancel a variable, they have to add up to 0.

So to cancel the X you multiply the equation 2x+5y=33 by -4.

That gives you -8x-20y= -132

Then you set up the two equations and add them together.

(-8x-20y= -132) + (8x+3y=30)

That gives you -17y = -102

So then you solve for Y by dividing by -17. You find out that Y is equal to 6. Then you plug the 6 back into the ORIGINAL equations and solve for X, which turns out to be 1.5

Hope this helped and if you get confused or have questions please ask :)

6 0
3 years ago
The female brine shrimp lives up to 90 days. she produces 100 cysts every 4 days. what is the total number of cysts she produces
kifflom [539]
She will produce 2250 cysts :) 90/4 = 22.5
22.5 * 100 = 2250
4 0
3 years ago
When the expression 3x^4+5x-6x^2+10x^3 is written with terms in descending order (from highest to lowest), which list represents
san4es73 [151]
3x^4 + 5x - 6x^2 + 10x^3....in descending order

3x^4 + 10x^3 - 6x^2 + 5x
coefficients are : 3,10,-6,5
8 0
3 years ago
Read 2 more answers
Is the expression 3(x+1 1\2)-3 equivalent to 3x+1 1\2
Ket [755]

Answer:

no

Step-by-step explanation:

first simplify or solve the original expression ( 3(x + 11/2)-3 )

1.  Parenthesis go first so do the 11/2 = 5.5 (x+5.5)

2. Distribute the 3 to the parenthesis (3x + 16.5)

3. subtract 3 from the expression (3x + 13.5)

Compare new equation with 3x + 11/2. Are they the same? (3x+13.5 vs. 3x + 11/2)

They are not the same thing.

3 0
3 years ago
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