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tamaranim1 [39]
2 years ago
8

4. Find f(x) - g(x) 4 options to chose from

Mathematics
2 answers:
pychu [463]2 years ago
5 0
Option 4 is the answer
White raven [17]2 years ago
5 0

Answer:

Last option

-10x³ + 2x - 8

is the answer

HOPE IT HELPS YOU

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6% service charge for 200 boxing ticket
baherus [9]

Answer:

12

Step-by-step explanation:

7 0
2 years ago
Determine the complement and/or supplement of each angle. If it is not possible, explain.
Alecsey [184]

Answer:

  • complement: 32.8°
  • supplement: 122.8°

Step-by-step explanation:

The sum of an angle A and its complement C is 90°:

  A + C = 90°

  C = 90° -A . . . . . subtract A from both sides.

That is, the complement of an angle is found by subtracting the angle from 90°.

__

The sum of an angle and its supplement is 180°. This means the supplement of an angle is found by subtracting the angle from 180°. You may notice the supplement is 90° more than the complement.

  A + S = 180°

  S = 180° -A = 90° +(90° -A)

__

For the given angle, the complement is ...

  C = 90° -57.2° = 32.8°

And the supplement is ...

  S = 180° -57.2° = 122.8°

_____

<em>Additional comment</em>

We generally like angle measures to be positive (as with all measures in geometry). Hence, we might say that the complement of an angle greater than 90° does not exist. YMMV

3 0
2 years ago
PLEASE HELPPP
MAXImum [283]
The complete question is

Khianna is trying to help her neighbor Mrs. Johnson design and estimate the cost of a new square patio to be made from 16 inch square pavers. The pavers are sold in boxes of 12 and cost $99.99

 Part I: Scale Drawing

Decide on a scale factor to represent the distance covered by the patio. Then, use the space below to design Mrs. Johnson’s patio to be a square that is at least 8 feet on each side.

 a) Scale Factor: ____________________________

 b) Use a straightedge and a ruler to draw to scale a design for Mrs. Johnson’s patio:

c) What are the dimensions of Mrs. Johnson’s patio?

<span>d) Calculate the area of Mrs. Johnson’s patio.  Show all work. 

</span> <span>e) How many pavers will be needed?  Show all work.

</span> <span>f) What will it cost to build the patio?  Show all work. 

</span>

Part II: Bigger Design

There is a saying that bigger is better, so why not double the dimensions of Mrs. Johnson’s patio to make the side measurement twice as big? Mrs. Johnson and I think that it would better meet her needs.  After seeing the original estimation, she thinks that she could afford to double the size. I explained that making the patio twice as big would mean twice the cost. Mrs. Johnson says, “Let’s do it!”

<span>a) What would be the new dimensions of Mrs. Johnson’s patio?

</span> <span>b) Calculate the new area of Mrs. Johnson’s patio.  Show all work. 

</span> <span>c) How many pavers will be needed for the new design?  Show all work.

</span> <span>d) What will it cost to build the bigger patio?  Show all work. 

</span> <span>e) Is Khianna right?  Will doubling the size of the patio, double the cost?
</span>

ANSWERS 

Part I: Scale Drawing
Decide on a scale factor to represent the distance covered by the patio. Then, use the space below to design Mrs. Johnson’s patio to be a square that is at least 8 feet on each side.
 a) Scale Factor: 1 in/ 2 ft 
Use a straightedge and a ruler to draw to scale a design for Mrs. Johnson’s patio
b) see the picture attached
Mrs. Johnson’s patio to be a square that is 10 ft x 10 ft
c) What are the dimensions of Mrs. Johnson’s patio? the dimensions of Mrs. Johnson’s patio are 10 ft x 10 ft
d) Calculate the area of Mrs. Johnson’s patio.  Show all work.  

area of the square=b²
where
 b is the length side of the square
b=10 ft
so
 Area=10²-----> area of Mrs. Johnson’s patio=100 ft²

e) How many pavers will be needed?  Show all work. 

we know that
1 paver is 16 in x 16 in dimensions
convert in to ft
1 ft----------->12 in
x ft-----------> 16 in
x=16/12-----> x=4/3 ft
so
1 paver is (4/3) ft x (4/3) ft dimensions
area of one paver=(4/3)²----> 16/9 ft²

if one paver has an area of----------------> 16/9 ft²
x pavers----------------------->  100 ft²
x=100/(16/9)------> x=100*9/16-----> x=56.25 pavers

if one box --------------> 12 pavers
x box---------> 56.25 pavers
x=56.25/12-----> x=4.68 box-------> x=5 boxes
5 boxes of pavers will be needed 

f) What will it cost to build the patio?  Show all work. 
 the cost of one box is--------> $99.99
5 boxes-----------> x
x=5*$99.99------>x=$499.95
the cost to build the patio is $499.95

Part II: Bigger Design
There is a saying that bigger is better, so why not double the dimensions of Mrs. Johnson’s patio to make the side measurement twice as big? Mrs. Johnson and I think that it would better meet her needs.  After seeing the original estimation, she thinks that she could afford to double the size. I explained that making the patio twice as big would mean twice the cost. Mrs. Johnson says, “Let’s do it!”
 
a) What would be the new dimensions of Mrs. Johnson’s patio?
 the new  dimensions of Mrs. Johnson’s patio are 20 ft x 20 ft

b) Calculate the new area of Mrs. Johnson’s patio.  Show all work.
area of the square=b²
where
 b is the length side of the square
b=20 ft
so 
Area=20²-----> new area of Mrs. Johnson’s patio=400 ft² 
 
c) How many pavers will be needed for the new design?  Show all work. 
1 paver is (4/3) ft x (4/3) ft dimensions
area of one paver=(4/3)²----> 16/9 ft²
if one paver has an area of----------------> 16/9 ft²
x pavers----------------------->  400 ft²
x=400/(16/9)------> x=400*9/16-----> x=225 pavers

if one box --------------> 12 pavers
x box---------> 225 pavers
x=225/12-----> x=18.75 box-------> x=19 boxes
19 boxes of pavers will be needed 

d) What will it cost to build the bigger patio?  Show all work.
  the cost of one box is--------> $99.99
19 boxes-----------> x
x=19*$99.99------>x=$1899.81
the cost to build the bigger patio is $1899.81

e) Is Khianna right?  Will doubling the size of the patio, double the cost?
Khianna is wrong, <span>doubling the dimensions, the area quadruples, therefore also costs quadruple</span>

6 0
3 years ago
Read 2 more answers
2 over 9 divided by 4
bagirrra123 [75]

Answer:

1/18 or 0.05

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
What is 2/3 + 3/4 or 2.3 + 3.4?
rodikova [14]
2/3+3/4=17/12=1.417 This is the anwser
3 0
3 years ago
Read 2 more answers
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