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9966 [12]
2 years ago
5

To find the distance between (-2,-3) and (4,1), Peggy's teacher drew a diagram and marked blue lines to represent the legs of a

right triangle. Peggy then used 42 and 62 to find the distance represented by the red segment. What distance did she find ?
Mathematics
1 answer:
Luda [366]2 years ago
7 0
First, we find the distance between the two points. The equation is

d = √[(x1 - x2)² + (y1 - y2)²]
d = √[(-2 - 4)² + (-3 - 1)²]
d = 52

In a right triangle, the legs are the hypotenuse, the shorter and the longer side. The hypotenuse is the longest side, so this must be 62 units. So, she found the length of the longer side, which is 52 units.

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The local theatre production company sells advance tickets (a) for $16 per seat. On the night of the performance, tickets (t) ar
Musya8 [376]

Answer:

16a + 22t = 11826

Step-by-step explanation:

Cost of 1 (a) ticket = $16

Cost of 1 (t) ticket = $22

Total tickets sold = 648

Cost of 648 tickets = $11826

So eqn will be => 16a + 22t = 11826

6 0
2 years ago
Frogs a b c d had a jumping relay race how many centimeters did they jump altogether ? 27 centimeters 34, 25, 28?
inysia [295]
114.
Just add all of them and that's it :)
6 0
2 years ago
Erin built a wooden box to hold hay on her farm. Hay costs $14dollar sign, 14 per cubic meter. How much will it cost to complete
sergiy2304 [10]

Here is the complete question.

Erin built a wooden box to hold hay on her farm.The box is 3 \text { m}3 m3, start text, space, m, end text long, 1 \text { m}1 m1, start text, space, m, end text wide, and 1 \text { m}1 m1, start text, space, m, end text high.Hay costs $14dollar sign, 14 per cubic meter. How much will it cost to completely fill the box with hay?

Answer:

it cost  $42 to completely fill the box with hay

Step-by-step explanation:

Given that :

The length of the wooden box = 3m ; the width of the box = 1m and the height of the box = 1 m; we can easily determine the volume of the rectangular wooden box;

We all know it would assume the shape of a rectangular prism and it's volume = L  × W × H

Thus; the volume of the box = . 3 m × 1 m × 1 m = 3 m³

However, the question proceeds by stating it that the wooden box cost $14 per cubic meter;

So , if 1 cubic meter = $14;

three cubic meters = $14 × 3  = $42

Hence;  it cost  $42 to completely fill the box with hay

8 0
2 years ago
Rumor of the cancellation of final exams began to spread one day on a college campus with a population of 80 thousand students.S
Nikolay [14]

Answer:

P(t) is directly proportional to N and N'.

Where P is the increase in numbers of students who have heard the exam's cancellation rumor at any time t;

N is numbers of students who have heard the rumor of the exam's cancellation;

N' is numbers of students who have not heard the rumor of the exam's cancellation;

N' = (80 - N). Since the total number of students is 80;

K is the constant of the proportionality.

K is calculated to be 9/700

Therefore,

P(t) = KNN'

P(t) = (9/700) x N x (80 - N)

Step-by-step explanation:

The total number of students is 80. For N, N' = 80 - N.

Initially, 1 thousand people heard the rumor.

Within/after a day, the increased in number of students who have heard the rumor is P = 10 - 1 = 9

P = 9 = K x 10x (80-10)

9 = K x 10 x 70 = 700K.

Divide both sides by 700,

9/700 = (700/700)K

K = 9/700

Subtitle K into the equation P(t) = KNN'

P(t) = (9/700) x N x N'

P(t) = (9/700) x N x (80 - N), where N' = 80 - N

4 0
2 years ago
Before leaving to visit Mexico, levant traded 270 american dollars and received 3000 mexican pesos. When he returned from mexico
Makovka662 [10]
Levant will receive about 9 american dollars when he exchanges his pesos.

According to this question, 1 american dollar is worth about 11 pesos. In order to find that, you need to divide 3000/270 which gives you around 11. In order to find out how many dollars he will receive for his pesos, you need to divide 100 by 11 which gives you about 9 dollars.
4 0
2 years ago
Read 2 more answers
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