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attashe74 [19]
3 years ago
7

You are planning on using circles to compare the populations of California 37,691,000, Texas 25,675,000, and New York 19,465,000

. If the circle for New York will have a 5 cm radius, how large should the radii for Texas and California be? Round to the nearest tenth of cm.
Mathematics
1 answer:
Aneli [31]3 years ago
8 0
The areas of the circle will represent the population, so:
Area = πr²

5² : 19,465,000
C² : 37,691,000

California circle radius = 6.96 cm

For Texas:
5² : 19,465,000
T² : 25,675,000

Texas circle radius = 5.74 cm
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Molodets [167]

Using the features, a piece-wise function is defined, and the graph is sketched at the end of this answer.

A piece-wise function is a function that has <u>multiple definitions</u>, depending on the value of the input.

He starts at 0 feet, and reaches a maximum elevation of 800 feet in 30 minutes, with a steady(linear) increase thus, for the first 30 minutes, the definition is:

h(t) = \frac{800}{30}t, 0 \leq t < 30

For the next 5 minutes, he stops to rest, at the maximum elevation of 800 feet, thus, the definition is:

h(t) = 800, 30 \leq t < 35

For the final 20 minutes, he descends 800 meters, at a linear rate, thus:

h(t) = 800 -\frac{800(t-35)}{20} = 800 - 40(t - 35), 35 \leq t \leq 55

Using these definitions, the graph is sketched at the end of this answer.

A similar problem is given at brainly.com/question/13205719

7 0
3 years ago
Put the steps in order. *
Readme [11.4K]

Answer:

The answer is 3 , 1 , 2 .

Step-by-step explanation:

I will give an example.

e.g.

x² + 3x + 2

Step 3 :

Set the equation equal to zero :

x² + 3x + 2 = 0

Step 1 :

Completely factor the equation :

x² + x + 2x + 2 = 0

x(x+1) + 2(x+1) = 0

(x+2)(x+1) = 0

Step 2 :

Set each factor equal zero and then solve for the variable :

(x+2)(x+1) = 0

x + 2 = 0

x = -2

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3 years ago
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Factors of 28 and 44
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Which could NOT be the shape of a cross section of this cylinder?
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Circle

Step-by-step explanation:

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3 years ago
What is the value of x in the equation 1.5(x + 4) – 3 = 4.5(x – 2)?
rjkz [21]
Hello!

Step 1: Simplify both sides of the equation.<span><span><span>
1.5<span>(<span>x+4</span>)</span></span>−3</span>=<span>4.5<span>(<span>x−2</span>)</span></span></span><span><span><span><span><span><span>

(1.5)</span><span>(x)</span></span>+<span><span>(1.5)</span><span>(4)</span></span></span>+</span>−3</span>=<span><span><span>(4.5)</span><span>(x)</span></span>+<span><span>(4.5)</span><span>(<span>−2</span>)</span></span></span></span>(Distribute)<span><span><span><span><span>

1.5x</span>+6</span>+</span>−3</span>=<span><span><span>4.5x</span>+</span>−9</span></span><span><span><span>

(<span>1.5x</span>)</span>+<span>(<span>6+<span>−3</span></span>)</span></span>=<span><span>4.5x</span>−9</span></span>(Combine Like Terms)<span><span><span>

1.5x</span>+3</span>=<span><span>4.5x</span>−9</span></span><span><span><span>
</span></span></span>Step 2: Subtract 4.5x from both sides.<span><span><span><span>

1.5x</span>+3</span>−<span>4.5x</span></span>=<span><span><span>4.5x</span>−9</span>−<span>4.5x</span></span></span><span><span><span>

−<span>3x</span></span>+3</span>=<span>−9</span></span>

Step 3: Subtract 3 from both sides.<span><span><span><span>

−<span>3x</span></span>+3</span>−3</span>=<span><span>−9</span>−3</span></span><span><span>

−<span>3x</span></span>=<span>−12</span></span>

Step 4: Divide both sides by -3.<span><span><span>

−<span>3x</span></span><span>−3</span></span>=<span><span>−12</span><span>−3</span></span></span><span>

x=<span>4

Hope this helps! Cheerio, and have a lovely day!</span></span>
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