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kaheart [24]
3 years ago
15

Mr. Sampson fills the family pool with water for the summer. After two hours, the water has reached a depth of 2.5 feet. After t

hree hours, the water level has risen to 3 ¾ feet. If the relationship between time and water depth is proportional., what is the constant of proportionality?
Mathematics
1 answer:
s2008m [1.1K]3 years ago
8 0

Answer: 1.25

Step-by-step explanation:

To solve this, we.will use the formula,

y = kx

where,

y = water depth

k = constant of proportionality

x = time

Using y = kx

2.5 = 2k

k = 2.5/2

k = 1.25

Also,

y = kx

3.75 = 3k

k = 3.75/3

k = 1.25

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3 years ago
What are the coordinates of the endpoints of the mid segment of triangle ABC that is parallel to line AB?
MrMuchimi

Answer:

(4.5,4)  and  (4.5,6.5)

Step-by-step explanation:

we have the coordinates

A(2,7),B(2,2),C(7,6)

we know that

The mid segment of triangle ABC that is parallel to line AB is located between the mid point AC and the mid point BC

The formula to calculate the midpoint between two points is equal to

(\frac{x1+x2}{2},\frac{y1+y2}{2})

step 1

Find the mid point AC

we have

A(2,7),C(7,6)

substitute in the formula

(\frac{2+7}{2},\frac{7+6}{2})

(4.5,6.5)

step 2

Find the mid point BC

we have

B(2,2),C(7,6)

substitute in the formula

(\frac{2+7}{2},\frac{2+6}{2})

(4.5,4)

therefore

The endpoints of the mid segment of triangle ABC that is parallel to line AB are (4.5,4)  and  (4.5,6.5)

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St ep-by-step explanation:

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