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scoray [572]
3 years ago
9

One leg of an isosceles right triangle measures 5 inches. Rounded to the nearest tenth, what is the approximate length of

Mathematics
1 answer:
Firlakuza [10]3 years ago
6 0

The length of the hypotenuse = 7.1 inch

Step-by-step explanation:

In an isosceles right angle triangle if one leg is 5 inch, another side along the right angle is 5 in

hypotenuse = \sqrt{side^{2} +base^{2} } ( by Pythagoras theorem)

= \sqrt{5^{2}+5^{2} }

= \sqrt{50}

= 7.07106781

= 7.1 inch (approx)

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What is the rate of change of the balance with respect to the number of deposits?
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A bathtub is draining at a constant rate. After 2 minutes, it holds 35 gallons of water. Four minutes later, it holds 15 gallons
OLga [1]

Answer:

Step-by-step explanation:

The slope-intercept formula is:

y = m x + b,

or: y = b - m x, since the rate is negative.

For the 1st formula we have: y = 30 and x = 2

For the 2nd formula: y = 12 and x = 5 ( because: 5 = 2 + 3, or : 3 minutes later, which can be confusing  )

30 = b - 2 m

12 = b - 5 m

--------------------

b = 30 + 2 m

12 = 30 + 2 m - 5 m

3 m = 18

m = 18 : 3 = 6

b = 30 + 2 * 6 = 30 + 12 = 42

Answer:

y = 42 - 6 x

4 0
3 years ago
There are 12 people in Mrs. Hilt's living room. 6 people are wearing socks and 4 people wearing shoes. 3 people are wearing both
Darina [25.2K]
3 people wearing both are also counted in the 6 with socks and 4 with shoes so you can't count them twice. What you do in stead is list : 
<span>3 wearing both </span>
<span>4 - 3 = 1 wearing just shoes </span>
<span>6 - 3 = 3 wearing just socks </span>
<span>total 7 so far so that leaves 5 others that must be barefoot.</span>
8 0
3 years ago
Read 2 more answers
SOCIAL MEDIA In 2011, the Miami Marlins had about 11,000 followers on a social media site. In 2016, they had about 240,000 follo
almond37 [142]

The exponential equation that represents the number of followers y the Miami Marlin’s had x years after they joined the site in 2009 is:

y = 3205(1.85252343783)^x

<h3>What is an exponential function?</h3>

An exponential function is modeled by:

A(t) = A(0)(b)^t

In which:

  • A(0) is the initial value.
  • b is the rate of change, as a decimal.

In this problem:

  • In 2011, the Miami Marlins had about 11,000 followers on a social media site. Since 2011 is 2 years after 2009, the point is (2, 11000).
  • Using the 2016 data, the point is (7, 240000).

Given two points, the rate of change is given by:

b^{7 - 2} = \frac{240000}{11000}

b^5 = 21.818181

b = \sqrt[5]{21.818181}

b = 1.85252343783

Then, the equation is:

y = a(1.85252343783)^x

Point (2, 11000) means that when x = 2, y = 11000, hence this is used to find a.

11000 = a(1.85252343783)^2

a = \frac{11000}{(1.85252343783)^2}

a = 3205

Hence, the exponential equation is:

y = 3205(1.85252343783)^x

You can learn more about exponential equations at brainly.com/question/18790123

4 0
2 years ago
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