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Sonbull [250]
2 years ago
10

18. A rectangular tables has a

Mathematics
2 answers:
Sauron [17]2 years ago
8 0
Area = 7x + 3
Perimeter = 14x + 6
Ganezh [65]2 years ago
6 0

Answer:

a) 10x² - 3x - 18

b) 14x + 6

Step-by-step explanation:

<u>Given:</u>

length = 5x + 6

width = 2x - 3

Tables usually have rectangular shape.

a) Area of the table

<u>Area of a rectangle</u>

A = length × width

Insert values into formula.

A = length × width

A = (5x + 6) × (2x - 3)

A = 10x² - 15x + 12x - 18

A = 10x² - 3x - 18

b) Perimeter of the table

<u>Perimeter of a rectangle</u>

P = 2 × length + 2 × width

P = 2 × length + 2 × width

P = 2(5x + 6) + 2(2x - 3)

P = 10x + 12 + 4x - 6

P = 14x + 6

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What is the rate of change of y with respect to x of the linear function represented by the table below?
Aleks [24]

Answer:

- \frac{9}{2}

Step-by-step explanation:

12-3 for the change from the y-intercept

9/-2

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6 0
3 years ago
Rachel is a stunt driver, and she's escaping from a building that is about to explode!
lutik1710 [3]

Answer:

The variable d models Rachel's distance from her exit (in meters) t seconds after the cameras began recording the stunt. d = - 38t

Step-by-step explanation:

From given, we have,  The expression that represents the Rachel's distance is given by, d = - 38t + 220                                                                      

where, d represents the distance in meters

            t represents the time in seconds                                                              

 

We know that, speed = distance by time.  Therefore, we need to differentiate the given equation w.r.t to time to find the speed.

we have,  d/dt (d) = d/dt [- 38t + 220]

| d/dt (d) | = | - 38 + 0 |

s =  d/dt (d) = 38 m/s

Therefore, the speed of Rachel is 38 m/s.

5 0
3 years ago
How can I use the percent equation???Ex.what number is 40% of 500???and can u solve this one,too.:45 is 25% of what number???THA
HACTEHA [7]
I've been waiting for someone to ask this question.  It's one of my favorite questions to answer.

percent means out of 100 so 1% = 1/100 and 40%=40/100 or 1/25
so for percent of a number, 'of' means multiply so 40% of 500= 40/100 times 500 or 20000/100 or 200



if you multiply a fraction by its recipricol (the number fliped upside down) the you will get 1 so if you multiply 1/2 by 2/1 then you will get 1

thus
percent is out of 100 so 1%=1/100  25%=25/100
if you represent 45 out of something as 45/x then you multiply it by the reciprocal of the fraction that is supposed to be equal (1/2 =2/4) then you will get 1
so 45/x times reciprocal of 100/25 then you will get 1/1 or 4500/25x
so you divide to find x and get 180
so 45 is 25% of 180


The following is extra
   as stated above 'of' can be taken as multiply so
   45 is 25% of 180 can be rewriten as
   45=25/100 times 180
   but we don't know that 180 is the answer so we replace it with x then            solve for x
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