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Arlecino [84]
3 years ago
8

Parallelogram ABCD ​ is a rectangle.

Mathematics
1 answer:
Sliva [168]3 years ago
3 0

Answer:

y = 7

Step-by-step explanation:

Given the parallelogram, ABCD is a rectangle and we know that the length of two diagonals of a rectangle are the same.

Now, given that the  diagonal of the rectangle ABCD, AC = 6y - 1 and BD = 4y + 13

Then, we have AC = BD  

⇒ 6y - 1 = 4y + 13

⇒ 2y = 14

⇒ y = 7 (Answer)

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The fountain is made up of two semicircles and a quarter circle. Find the perimeter and the area of the fountain. Round the peri
Andrej [43]
FOUND THE COMPLETE QUESTION IN ANOTHER SOURCE.ATTACHED IMAGE.
 For this case what we have is the following:
 For the two semicircles we can model it as a complete circle.
 We have to then:
 
 Perimeter: 
 P = 2 * pi * r
 or
 P = pi * d
 Where,
 r = radius
 d = diameter
 Therefore the perimeter is:
 P = 10 * pi
 For the largest circle we have:
 radius = 10
 Perimeter:
 P '= 2pi10
 P '= 20pi
 1/4 since 1/4 circle:
 P '' = 20pi / 4 = 5pi
 Then, the total perimeter of the source is:
 Pt = P + P '' = 10pi + 5pi = 15pi
 Pt = 15 * (3.141592)
 Pt = 47.1239
 round
 Pt = 47.1 ft

 Area:
 The total area will be:
 A = A (two semicircles) + A (quarter big circle)
 A = (pi / 4) * (d ^ 2) + (1/4) * pi * r ^ 2
 A = (pi / 4) * ((10) ^ 2) + (1/4) * pi * (5) ^ 2
 A = 98.17477042 feet ^ 2
 Round:
 A = 98.2 feet ^ 2

 Answer: 
 Perimeter of the source: 
 Pt = 47.1 ft 
 Area of the source: 
 A = 98.2 feet ^ 2

5 0
2 years ago
A bag contains 4 gold marbles, 5 silver marbles, and 29 black marbles. Someone offers to play this game: You randomly select one
kkurt [141]

Answer:

Step-by-step explanation:

you have a 29 of 38 chance at lossing

5 0
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Evaluate 8y-10 for y=3
garri49 [273]
8 (3)-10
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Hope this helped :)
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3 years ago
Juan's pit crew was able to get his car back onto the racetrack 0.4 seconds faster than Paul's crew. Paul's crew took 1.3 second
9966 [12]

Answer:

6.7 seconds

Step-by-step explanation:

Juan= Paul-0.4

Paul=Terry+1.3

We can substitute Terry+1.3 for Paul since they are equal

juan=(Terry-0.4)+1.3

terry=5.8

juan=(5.8-0.4)+1.3

juan=6.7

4 0
2 years ago
| 1). What number is 40% of 50?
ipn [44]
40% of the number 50 is 20
7 0
2 years ago
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