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Law Incorporation [45]
3 years ago
9

Convert 32 kilometers per hour to miles per day. (3.28 feet 1 meter)

Mathematics
1 answer:
bonufazy [111]3 years ago
3 0

Answer:

477.09 mi/da

Step-by-step explanation:

If student must use conversion given, 3.28ft = 1m, then the following works:

32km/hr = ______mi/da       1 day = 24 hrs, 1m=3.28ft, 1km=1000m,1mi=5280ft

32km/hr  x  24hr/day  x  1000m/1km  x  3.28ft/1m  x  1mi/5280ft  = 477.09mi/da

If student can use 1km = 0.62mi, some steps can be skipped.

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The distance on the map between Yappy City and Quiet City is 23 cm. What is the actual distance between the cities? 5 cm : 2 mil
S_A_V [24]

The actual distance between the cities will be equal to 9.2 miles.

<h3>What is an arithmetic operation?</h3>

The four basic mathematical operations are the addition, subtraction, multiplication, and division of two or even more integers. Among them is the examination of integers, particularly the order of actions, which is crucial for all other mathematical topics, including algebra, data organization, and geometry.

As per the given data in the question,

Distance between Yappy city and quit city is 23 cm.

As per the conversion is given in the question,

5 cm = 2 miles

Then, the number of miles of distance will be,

x = (2 × 23)/5

x = 9.2 miles.

To know more about arithmetic operations:

brainly.com/question/13585407

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3 0
1 year ago
Perpendicular to the line y=1/2x-8; passes through (7,-6). Write the slope-intercept form of the equation.
Airida [17]

<u>ANSWER: </u>

The slope intercept form of the required line is y = -2x + 20.

<u>SOLUTION: </u>

Given, line equation is $y=\frac{1}{2} x-8$

And, Perpendicular line to the given line  passes through (7,-6).  

We need to find the slope intercept form of perpendicular line of given line.  

We already have the point (7, -6) but we need to find the slope.

Now, we know that, product of slopes of two perpendicular lines equals to -1.

Slope of given line is \frac{1}{2}, by comparing with the general form of slope intercept form.

\frac{1}{2} \times slope of required line = -1

Slope of perpendicular line = -2

Now, line equation of perpendicular line in point slope form is

$y-y_{1}=m\left(x-x_{1}\right)$

y – (-6) = -2(x – 7)

y + 6 = -2x + 14

y = -2x + 20

the above equation is in the form of slope intercept form of a line equation  

where slope m = -2 and intercept c = 20

hence, the slope intercept form of the required line is y = -2x + 20.

6 0
3 years ago
Identify the translation of the figure with the vertices P(−4,−5), L(1,−7), and K(−9,8), along the vector &lt;−6, 3&gt;.
jarptica [38.1K]

Answer:

P ′(−10, −2), L ′(−5, −4), K ′(−15, 11)

Step-by-step explanation:

The translation vector, ⟨−6,3⟩, can be used to derive a rule for the translation of the coordinates: (x,y)→(x−6,y+3).

Apply the rule to translate each of the three preimage vertices to the image vertices.

P(−4,−5)→P'(−10,−2)

L(1,−7)→L'(−5,−4)

K(−9,8)→K'(−15,11)

Therefore, P'(−10,−2), L'(−5,−4), N'(−15,11) is the translation of the figure with the vertices P(−4,−5), L(1,−7), and K(−9,8), along the vector ⟨−6,3⟩.

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2 years ago
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