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Kruka [31]
3 years ago
6

What type of triangle will have a circumcenter outside the triangle?

Mathematics
1 answer:
solmaris [256]3 years ago
7 0

Answer:


Step-by-step explanation:

The circumcenter of an obtuse isosceles triangle is outside the triangle and the perpendicular bisector passes through the obtuse angle of the triangle

The circumcenter is also the center of circle that the triangle is circumscribed inside of.    I hope this helps  

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The Century club runs the concession stand during football games. They sell snacks and drinks. 50 snacks and 180 drinks will sel
katrin2010 [14]

Answer:

The cost of each drink is $1.5

Step-by-step explanation:

Let us represent

The cost of snacks = x

The cost of drinks = y

50 snacks and 180 drinks will sell for $320

Hence:

50x + 180y = 320....... Equation 1

75 snacks and 100 drinks will sell for $225.

Hence:

75x + 100y = 225....... Equation 2

Combining both Equations together

50x + 180y = 320....... Equation 1

75x + 100y = 225....... Equation 2

Multiply Equation 1 by 75 and Equation 2 by 50 to eliminate x

3750x + 13500y = 24000..... Equation 3

3750x + 5000y = 11250....... Equation 4

Subtract Equation 4 from Equation 3

8500y = 12750

y = 12750/8500

y = $1.5

Therefore, the cost of each drink is $1.5

4 0
3 years ago
Why are the triangles congruent?
MariettaO [177]

Answer:

SAS (side angle side)

Step-by-step explanation:

the third one

4 0
2 years ago
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Describe what a graph of xs 1 would look like. (Be sure to include whether dot is open or closed and state
insens350 [35]

Answer:

The graph would be a line starting at one and moving to the left infinitely. The dot would be closed.

6 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
The amount $4.50 is 6% of what price
Vladimir79 [104]

Answer:

0.75

Step-by-step explanation:

4.50 is 6% of 75% then 0.75 is 75% in decimal form, so 0.75 is 6% of 4.50

Hope I helped :)

3 0
3 years ago
Read 2 more answers
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