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MAXImum [283]
1 year ago
15

An angle is bisected, forming two new

Mathematics
1 answer:
Eduardwww [97]1 year ago
3 0

First let's define bisected

To bisect an angle means to split an angle <em>exactly in half</em>. Both sides of a bisected angle are equal to each other

The original angle (48 degrees) is bisected so we must divide 48 by 2 to find a degree of each angle

48 ÷ 2 = 24

The measure of each new angle is 24 degrees

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Frank and Latoya each ran every day as part of an exercise routine. Frank ran
salantis [7]
3 miles each day for x days is 3x
5 miles each day for y days is 5y
Frank ran at least as many miles as Latoya is 3x >/= 5y
5 0
2 years ago
The quotient of 4 and the difference of an integer and 3 is the same as two-thirds. Find the integer.
quester [9]
To find the integer, you must cross multiply, group the same terms, then divide both side by 2:

Solution:
4/(x-3)= 2/3
12 = 2x-6
18=2x
x= 9

7 0
3 years ago
PLEASE HELP ME!
sattari [20]

You want to know how long it'll take for the bacteria to grow
to (800/500) = 1.6 times their initial population.

The number of double-times it'll take is 

                         [ log(1.6) / (log(2) ]  =  0.6781 .

The double-time for these particular critters is 12 hours,
so it'll take them

                             0.6781  x  12 hours  =  8.137 hours

                                                                =  8 hours  8.2 minutes .
3 0
2 years ago
The graph of a sinusoidal function intersects its midline at (0,5) and then has a maximum point at (\pi,6)
lesya692 [45]
First, let's use the given information to determine the function's amplitude, midline, and period. 

Then, we should determine whether to use a sine or a cosine function, based on the point where x=0.

Finally, we should determine the parameters of the function's formula by considering all the above.
     
                      Determining the amplitude, midline, and period 

The midline intersection is at y=5 so this is the midline. 

The maximum point is 1 unit above the midline, so the amplitude is 1. 

The maximum point is π units to the right of the midline intersection, so the period is 4 * π.
 
                            Determining the type of function to use 

Since the graph intersects its midline at x=0, we should use thesine function and not the cosine function. 

This means there's no horizontal shift, so the function is of the form -

a sin(bx)+d

Since the midline intersection at x=0 is followed by a maximumpoint, we know that a > 0.

The amplitude is 1, so |a| = 1. Since a >0 we can conclude that a=1. 

The midline is y=5, so d=5. 

The period is 4π so b = 2π / 4π = 1/2 simplified. 

f(x) = 1 sin ( \dfrac{1}{2}x)+5   <span>= Solution </span>
4 0
3 years ago
Write an equation of each line in standard form with integer coefficients.<br> 4. y = 2.4x + 1.8
Nadusha1986 [10]

Answer:

<h2>12x - 20y = -9</h2>

Step-by-step explanation:

The standard form of an equation of a line:

Ax+By=C

We have

4y=2.4x+1.8

Convert

4y=2.4x+1.8          <em>multiply both sides by 10</em>

40y=24x+18          <em>subtract 24x from both sides</em>

-24x+40y=18            <em>change the signs</em>

24x-40y=-18          <em>divide both sides by 2</em>

12x-20y=-9

3 0
2 years ago
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