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levacccp [35]
3 years ago
14

The graph shows the relationship between the distance a bicyclist travels and the time in hours.

Mathematics
1 answer:
Vika [28.1K]3 years ago
8 0

Answer:

Step-by-step explanation:

a). Point (x, y) from the graph represents,

    x → Time in hours

    y → Distance traveled by the bicyclist (in miles)

    Therefore, point (4, 60) represents the distance 60 miles traveled by

the bicyclist in 4 hours.

b). Since, distance traveled (d) is proportional to the time taken(t).

    d ∝ t

    d = kt

    k = \frac{d}{t}

    Here k = constant of proportionality.

    k = \frac{60}{4} = 15

c). Therefore, equation in the form of y = kx will be,

    y = 15x

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Formula: a^2 + b^2 = c^2

so substitute the numbers like this:

10^2 + 6^2 = c^2

both 10^2 and 6^2 are perfect squares:

10 × 10= 100 and 6 × 6= 36

100 + 36= c^2

add:

100 + 36 =

136 = c^2

now in order to get rid of the squared, you put it into a radical:

√136 = √c^2

note: whatever you do on one side, you do to the other

it's easier to use the calculator for this so put √136 and you're gonna get 11.66

since it's asking you to round it to the nearest tenth:

11.66 = 11.7

sorry if the explanation is kinda long ✋ i tried explaining it better in the end but i failed

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Answer:

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Step-by-step explanation:

You've assigned your math class a set of word problems. One of the questions ends with, "How many people voted for candidate Jones?" Fingers fly over calculators as your students try to determine the correct answer. After a minute or two, Tommy raises his hand and announces his answer: 4,602.28

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Whatever else math is or isn't, it is always logical. Answers should always make sense. Math frequently relies on general knowledge—concepts that we assume are known by everyone over the age of about seven—along with a healthy dose of common sense (not you, Thomas Paine).

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