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Mathematics

1 answer:

pashok25 [27]3 years ago

6 0

Answer:

14. -21 over 5, 1 over 4

Step-by-step explanation:

PQ: perform the slope formula: y2-y1 divided by x2-x1

-3 - 17 divided by 1 - (-4) = -21 divided by 5

RS: 4 - 3 divided by -5 - (-9) = 1 divided by 4

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You run around the perimeter of a baseball field at a rate of at least 10 feet per second. Which of the following are possible a

vovikov84 [41]

1) we have to calculate the lenght of the baseball field.

perimeter of the baseball field=2(radius)+lenght of a semicircle.

2(radius)=2(175 ft)=350 ft
lenght of a semicircle=40% of a circumference=(40/100)(2πr)

Perimeter of the baseball field=2(175 ft) + (40/100)(2π175 ft)=
=350 ft + 140π ft=350 ft + 439.82 ft=789.82 ft,

2)Now, we calculate the amounts of time that it takes you to ruan arount the baseball field.

10 ft------------------------1 second
789,82 ft----------------- x

x=(789.82 ft * 1 second) / 10 ft=78.98 s≈79 s

answer: 79 seconds.

3 0

3 years ago

Read 2 more answers

PLEASE HELP MATH QUESTION !!! Explain!

butalik [34]

When we say two quantities $x$ and $y$ are proportional to one another, there are two ways we could mean this.

- If $x$ is *directly* proportional to $y$ , then we mean that as $x$ changes, $y$ changes in the same direction. In other words, if $x$ is in/decreased, then $y$ also in/decreases. The rate of in/decrease doesn't have to be one-to-one; for example, we could have $x$ increase by 1 unit while $y$ would proportionally increase by 5 units. In this case, we'd have $y=5x$ .

- On the other hand, if $x$ is *inversely* proportional to $y$ , then a change in $x$ results in a change in $y$ that goes in the opposite direction. A common example involves taking a rectangle of constant area and adjusting the width $x$ and length $y$ . If the rectangle has an area of 5 square units, then we could have $x=5$ and $y=1$ , or we could have $x=4$ and $y=\dfrac54$ , or $x=3$ and $y=\dfrac53$ , or any combination of $x$ and $y$ such that $xy=5$ is satisfied.

In both cases, we call 5 the "constant of proportionality".

On to your exercises:

(1a) Looks like $a$ stands for number of apples. Then we're told that the cost $c=2.3a$ , which means that for every apple, the cost increases by 2.3 dollars. So the constant of proportionality is 2.3. In the language of proportionality, we could then say that the cost of apples is directly proportional to the number of apples by a factor of 2.3.