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3 years ago

Divide 64 bundles of newspapers into two groups so the ratio is 3 to 5.

Mathematics

1 answer:

pashok25 [27]3 years ago

3 0

Answer:

24 newspapers

40 newspapers

Step-by-step explanation:

the sum of ratios = 3 + 5 = 8

total newspapers in the first group = $\frac{3}{8}$ x 64 = 24 newspapers

total newspapers in the second group = $\frac{5}{8}$ x64 = 40 newspapers

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A strobe light is located at the center of a square dance room. the rotating light is 40 feet from each of the square walls and

Effectus [21]

The equation of the rotating light is an illustration of a secant function

The equation that represents the distance between the center of the circle and the light source is $d(t) = 40\sec(\frac{\pi}{3}t)$

<h3>How to determine the equation</h3>

The equation is a secant function represented by

$y =A\sec(Bt)$

Where:

A represents the amplitude

So, we have:

$A = 40$ --- the distance of the light from each square wall

B represents the period, and it is calculated as:

$B = \frac{2\pi}{T}$

The light completes its full rotation every 6 seconds.

This means that,

T = 6

So, we have:

$B = \frac{2\pi}{6}$

Simplify

$B = \frac{\pi}{3}$

Substitute values for A and B in $y =A\sec(Bt)$

$y = 40\sec(\frac{\pi}{3}t)$

Rewrite as a function

$d(t) = 40\sec(\frac{\pi}{3}t)$

Hence, the equation that represents the distance between the center of the circle and the light source is $d(t) = 40\sec(\frac{\pi}{3}t)$

Read more about trigonometry functions at:

brainly.com/question/1143565

5 0

2 years ago

A runner runs a distance of 450 metres in a time of 50 seconds. What is his average speed?

vekshin1

Answer:

0.279 miles / 0.449 km

Step-by-step explanation:

convert the meters into miles/kilometers to get your answer

4 0

3 years ago

Guys pls help me!!!!!!

Anettt [7]

Answer:

126°

Step-by-step explanation:

1. We know that 54 degrees and its adjacent are a linear pair, meaning that they add up to 180 degrees. To find the measure of the adjacent angle, we subtract 54 from 180.

$180 - 54$
$126$

2. Now, we know that adjacent of 54 is 126. Also, we know that $l$ ║ $m$ ║ n, and x and 126 degrees are corresponding angles. Corresponding angles are congruent within angle measures, so x = 126 degrees.