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3 years ago

The swimming relay race is 1/4 mile long. Each of the 3 swimmers in the relay swims the same distance.

Mathematics

2 answers:

kobusy [5.1K]3 years ago

6 0

1/4 of a mile because the relay race is 1/4 of a mile

Vanyuwa [196]3 years ago

4 0

[1/4]/3
=
1/12 of a mile

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This monitor has a diagonal length of 19 inches and an aspect ratio of 5:4. What are the width and height of the monitor? Round

nasty-shy [4]

<em>Rounded to the nearest tenth of an inch the Witdth of the monitor is 14.8 inches while the Height of the monitor is 11.9 inches.</em>

<h2>Explanation:</h2><h2 />

The aspect ratio is defined as:

<em>"The proportional relationship between the width and height of an image"</em>

It is usually expressed in a mathematical language as:

$x:y \\ \\ x: \ Width \\ \\ y: \ Height$

So, it is true that:

$x:y=5:4 \\ \\ or: \\ \\ \frac{x}{y}=\frac{5}{4} \\ \\ \therefore x=\frac{5y}{4}$

In this case, we know that the monitor has a diagonal length (D):

$D=19in$

So, by Pythagorean theorem:

$D^2=361 \\ \\ 361=x^2+y^2 \\ \\ Since \ x=\frac{5y}{4}$

$D^2=361 \\ \\ 361=x^2+y^2 \\ \\ Since \ x=\frac{5y}{4} \\ \\ 361=\left(\frac{5y}{4}\right)^2+y^2 \\ \\ 361=\frac{25y^2}{16}+y^2 \\ \\ \frac{41}{16}y^2=361 \\ \\ y^2=\frac{261\times 16}{41} \\ \\ y=\sqrt{140.87} \\ \\ y=11.869in$

Finding x:

$x=\frac{5(11.869)}{4} \\ \\ x=14.836in$

<em>Finally, rounded to the nearest tenth of an inch the Witdth of the monitor is 14.8 inches while the Height of the monitor is 11.9 inches.</em>

<h2>Learn more:</h2>

Pythagorean Theorem: brainly.com/question/10182890

#LearnWithBrainly

5 0

3 years ago

Which value for x makes the following number sentence true? 12x = 6x + 24

denis23 [38]

To solve this, first subtract 6x from both sides.

That is because there cannot be the same variable on both sides of the equation. The new equation would be:

6x=24

Now divide by both sides of the equation by 6

x=4

Hope this helped! Tell me if you have any more questions!

5 0

3 years ago

mr. Murphy has an old coin that has ten sides if it's shape is a polygon how many angles does the old coin have

alekssr [168]

My guess is that there is 5 angles and 5 sides... because i divided 10 in half
likeee this
10 ÷ 2 = 5
and bam we have our answer

7 0

3 years ago

1. Solve: 6x - 12 < 6<br> 2. Solve: 2(3x-8) >8

8090 [49]

Answer:

Step-by-step explanation:

1. here you go mate

step 1

6x - 12 < 6 equation

step 2

6x - 12 < 6 simplify

6x-12+12<6+12

step 3

6x<18 Divide both sides

$\frac{6x}{6}$

answer

x<3

2. Here you go mate

step 1

2(3x-8) >8 equation

step 2

2(3x-8) >8 simplify

6x-16+16>8+16

step 3

6x>24 divide both sides

$\frac{6x}{6} >\frac{24}{6}$

answer

x>4

4 0

3 years ago

The population of a pigeons in a city is 100 and is growing exponentially at 20% per year. Write a function to represent the pop

NikAS [45]

Answer:

p(t) = 100×1.0153^(12t)
1.53% per month

Step-by-step explanation:

In general, the function will be written ...

p(t) = (initial value)×(growth factor)^t

where t is in units comparable to those applicable to the growth factor. The growth factor is found from ...

growth factor = 1 + growth rate

Here, the growth rate is given as 20% per year, so the growth factor per year is ...

1 +20% = 1.20

The initial value is given as 100, so we can write the exponential function as ...

p(t) = 100×1.20^t

The time period units for t are supposed to be years, but we want to find the growth rate for a month. We can do that by recognizing there are 12 months in a year. In the above equation, we can use (1/12)(12t) in place of t, then figure the growth factor (and growth rate) per month.

p(t) = 100×(1.20^(1/12))^( 12t)

p(t) = 100×1.0153^(12t) . . . . population exponential function

This shows the monthly growth factor is 1.0153, so the monthly rate of change (growth rate) is ...

1.0153 -1 = 0.0153 = 1.53% . . . . monthly rate of change

5 0

3 years ago

Read 2 more answers