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Cerrena [4.2K]
2 years ago
8

At a rate of 31 miles per hour, it takes henry 6 minutes to drive from the library to his house. Show how to find distance that

henry Traveled. Include units in your calculatio.
Mathematics
1 answer:
ankoles [38]2 years ago
5 0

Answer: Distance covered by Henry is about 0.52 mile.

Step-by-step explanation:

Formula : Distance = Speed x Time

Given : Speed = 31 miles per hour

Time = 6 minutes

Since 1 hour = 60 minutes

so, \text{ 1 minute}=\dfrac{1}{60}\text{ hour}

Now, Distance = 31\times\dfrac{1}{60}\text{ miles}\approx0.52\text{ mile}

Hence, Distance covered by Henry is about 0.52 mile.

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addison and kelsey are running on a path modeled by x^2+y^2-10x-18y-378=0, where the distance is in meters. what is the maximum
bulgar [2K]

The maximum distance is the <u>diameter of the circle</u>, which is of 44 units.

The equation of a circle of <u>radius r and center</u> (x_0,y_0) is given by:

(x - x_0)^2 + (y - y_0)^2 = r^2

  • The diameter is <u>twice the radius</u>, and is the <u>maximum distance</u> between two points inside a circle.

In this problem, the circular path is modeled by:

x^2 + y^2 - 10x - 18y - 378 = 0

We complete the squares to place it in the standard format, thus:

x^2 - 10x + y^2 - 18y = 378

(x - 5)^2 + (y - 9)^2 = 378 + 25 + 81

(x - 5)^2 + (y - 9)^2 = 484

Thus, the radius is:

r^2 = 484 \rightarrow r = \sqrt{484} = 22

Then, the diameter is:

d = 2r = 2(22) = 44

The maximum distance is the <u>diameter of the circle</u>, which is of 44 units.

A similar problem is given at brainly.com/question/24992361

7 0
2 years ago
the art club receives $10 plus $2 for every sculpture they sell for a fundraiser. the expression 2x+10 represents the amount the
Len [333]
2x + 10...the common number between these 2 terms is 2...so factor the 2 out

2(x + 5) <==
8 0
3 years ago
Please help me asap​
Leto [7]
1. D 12 2/7
2. 22 7/9 which is B hope this helps
7 0
3 years ago
In simplified exponential notation, the expression x ³ · x -4 · x =
Ivan
X^3 * x^2 - 4 is your answer. Hope this helps!
3 0
3 years ago
Recall that Rn denotes the right-endpoint approximation using n rectangles, Ln denotes the left-endpoint approximation using n r
pogonyaev

Answer:

R_5=1.12

Step-by-step explanation:

We want to calculate the right-endpoint approximation (the right Riemann sum) for the function:

f(x)=x^2+x

On the interval [-1, 1] using five equal rectangles.

Find the width of each rectangle:

\displaystyle \Delta x=\frac{1-(-1)}{5}=\frac{2}{5}

List the <em>x-</em>coordinates starting with -1 and ending with 1 with increments of 2/5:

-1, -3/5, -1/5, 1/5, 3/5, 1.

Since we are find the right-hand approximation, we use the five coordinates on the right.

Evaluate the function for each value. This is shown in the table below.

Each area of each rectangle is its area (the <em>y-</em>value) times its width, which is a constant 2/5. Hence, the approximation for the area under the curve of the function <em>f(x)</em> over the interval [-1, 1] using five equal rectangles is:

\displaystyle R_5=\frac{2}{5}\left(-0.24+-0.16+0.24+0.96+2)= 1.12

3 0
3 years ago
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