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11Alexandr11 [23.1K]
3 years ago
9

Determine the coordinates of the vertices of the rectangle to compute the area of the rectangle using the distance formula (roun

d to the nearest integer).
A) 35 units2
B) 50 units2
C) 60 units2
D) 70 units2
Mathematics
1 answer:
diamong [38]3 years ago
7 0

Answer:

The answer is 70 units2

Step-by-step explanation:

D = dx

2 + dy

2

W = (5-10)

2 + (10-5)

2

W = (5)

2 + (5)

2 = 7.071

L = (5-12)

2 + (10-17)

2

L = (7)

2 + (7)

2 = 9.899

A = LxW = (9.899)(7.071) = 69.9958 units

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A box contains cards bearing numbers from 6 to 70. If one card is drawn at random from the box, find the probability that it bea
777dan777 [17]

Answer:

a) 4/65 b) 13/65 c) 12/65 d) 19/65

Step-by-step explanation:

Probability is the likelihood or chance that an event might occur.

Probability = expected outcome of event/Total outcome of event

If a box contains cards bearing numbers from 6 to 70, the total outcome will be the total number present from 6 to 70 which is 65

a) The amount of one digit number we have are 4 i.e {6,7,8,9}. This will be our expected outcome in this case.

The probability that the number drawn bears a one digit number will be 4/65

b) For numbers divisible by 5, the numbers that are divisible by 5 from the number drawn are {10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70}

The total expected outcome in this case = 13

The probability that the number drawn is divisible by 5 = 13/65

c) For odd numbers less than 30, they are {7,9,11,13,15,17,19,21,23,25,27,29}

The total expected outcome in this case = 12

The probability that the number drawn are odd numbers less than 30 = 12/65

d) For composite number between 50 and 70, this are numbers that are within this range and they includes {51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69}

The total expected outcome in this case = 19

The probability that the number drawn are composite numbers between 50 and 70= 19/65

8 0
3 years ago
Help me with picture please 70 points.
timurjin [86]

Answer:

Plot the points on:

(1,2)

(3,6)

(5,12)

(9,18)

Thats it.

5 0
2 years ago
A building's construction cost was $625,000. the building is 80 feet long, 45 feet wide and 12 feet high. what was the cost of t
Alborosie
Volume = Length x Width x Height 
Volume = 80 x 45 x 12
Volume = 43200 ft³

Cost per cubic foot = $625 000 ÷ 43200
Cost per cubic foot = $14.47

----------------------------------------------
Answer: $14.47 per cubic foot.
----------------------------------------------
8 0
3 years ago
Find the slope of the line that passes through (10,7) and (1,9)
Simora [160]

Answer:

Step-by-step explanation:

Use the slope formula

(x2-x1)/(y2/y1)

substitute the values

(1-10)/(9-7)

solve

-9/-2

simplify

9/2 or 4.5

6 0
2 years ago
The easiest way to find THE SLOPE on a graph? Please HELP
ratelena [41]

Step-by-step explanation:

Pick two points on the line and determine their coordinates

Select one to be (x1, y1) and the other to be (x2, y2)

Finally use the slope intersect equation to calculate the slope:

<em>Formula-</em><em> </em>

<em>y = mx + b </em>

<em></em>

Hope this helps, let me know if you need more information, I'll be glad to help! :)

3 0
3 years ago
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