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djyliett [7]
3 years ago
5

Please answer at least one of them.

Mathematics
2 answers:
dsp733 years ago
8 0
Hey there find an image attached..

Vladimir79 [104]3 years ago
4 0
3 is 280 over 400 you just use the info they give you
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Find the coordinates of the circumcenter of triangle ABC with vertices A(1,4) B(1,2) and C(6,2)
Ray Of Light [21]
<span>(3.5, 3) is the circumcenter of triangle ABC. The circumcenter of a triangle is the intersection of the perpendicular bisectors of each side. All three of these perpendicular bisectors will intersect at the same point. So you have a nice self check to make sure your math is correct. Now let's calculate the equation for these bisectors. Line segment AB: Slope (4-2)/(1-1) = 2/0 = infinity. This line segment is perfectly vertical. So the bisector will be perfectly horizontal, and will pass through ((1+1)/2, (4+2)/2) = (2/2, 6/2) = (1,3). So the equation for this perpendicular bisector is y = 3. Line segment BC (2-2)/(6-1) = 0/5 = 0 This line segment is perfectly horizontal. So the bisector will be perfectly vertical, and will pass through ((1+6)/2,(2+2)/2) = (7/2, 4/2) = (3.5, 2) So the equation for this perpendicular bisector is x=3.5 So those two bisectors will intersect at point (3.5,3) which is the circumcenter of triangle ABC. Now let's do a cross check to make sure that's correct. Line segment AC Slope = (4-2)/(1-6) = 2/-5 = -2/5 The perpendicular will have slope 5/2 = 2.5. So the equation is of the form y = 2.5*x + b And will pass through the point ((1+6)/2, (4+2)/2) = (7/2, 6/2) = (3.5, 3) Plug in those coordinates and calculate b. y = 2.5x + b 3 = 2.5*3.5 + b 3 = 8.75 + b -5.75 = b So the equation for the 3rd bisector is y = 2.5x - 5.75 Now let's check if the intersection with this line against the other 2 works. Determining intersection between bisector of AC and AB y = 2.5x - 5.75 y = 3 3 = 2.5x - 5.75 8.75 = 2.5x 3.5 = x And we get the correct value. Now to check AC and BC y = 2.5x - 5.75 x = 3.5 y = 2.5*3.5 - 5.75 y = 8.75 - 5.75 y = 3 And we still get the correct intersection.</span>
6 0
3 years ago
Read 2 more answers
The cost of five books is $36.25. What is the unit price?​
zimovet [89]

Step-by-step explanation:

Cost of 5 books = $ 36.25

Cost of 1 book = $36.25 / 5 = $ 7.25

The unit price is $ 7.25

Hope it will help :)

7 0
3 years ago
Angelina is making flower bouquets. She has 24 tulips and 36 roses. She wants all the bouquets to be identical, containing the s
Lemur [1.5K]

Answer:

Therefore the maximum number of bouquets is 12.

Step-by-step explanation:

Given that, Angelina has 24 tulip and 36 roses.

To find the number bouquets, we need the find out the g.c.d (greatest common divisor) of 24 and 36.

24= 2×2×2×3

36=2×2×3×3

The common factors are = 2,2,3

The g.c.d of 24 and 36 is =2×2×3

                                         = 12

Therefore the maximum number of bouquets is 12.

7 0
3 years ago
Janie bought 8 apples and 6 bananas. Each apple costs $0.80, and each banana cost $.60. Answer an expression representing the to
Pavel [41]
A: apples
b: bananas

Your expression could be:

$0.80a + $0.60b = $10.00

----

$0.80 ( 8 ) + $0.60 ( 6 ) = $10.00
$6.40 + 3.60 = $10.00
$10.00 = $10.00
✔
3 0
2 years ago
Pls is easy but idk how to do it :/
ludmilkaskok [199]

Answer:check the pic

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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