In the diagram below, the red angle $(\angle YAK)$ and the blue angle $(\angle OAT)$ are both right angles. If $\angle YAO=23^\circ,$ then what is the measure of $\angle KAT$?

Answer:

You begin with 1 bacteria, and after 1 hour it has tripled so you now have 1 x 3=3.

Next hour, it triples again so you now have 1 x 3 x 3=9

You can see the pattern shows that the number of bacteria is multiplying every hour by a factor of 3. An exponent denotes how many times we are multiplying a number by itself, for example: 34 means we are multiplying the number 3 a total of 4 times (3 x 3 x 3 x 3).

Therefore the question is requiring us to triple the number of bacteria every hour for 24 hours, which means we are multiplying by 3 a total of 24 times. This gives us:

n x 324 where n is the number of bacteria you begin with.

Since you begin with 1 bacteria, the solution is 1 x 3 to the power 24 and u will get ur answer

Answer:

Step-by-step explanation:

Picture 1

In right triangle ABC,

Side AB is the opposite side of angle C.

Picture 2

In triangle MKL,

tan(∠M) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

             = [tex]\frac{KL}{KM}[/tex]

             = [tex]\frac{15}{8}[/tex]

Option (1) is the answer.

Picture 3

In ΔXYZ,

sin(∠Z) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

            = [tex]\frac{XY}{XZ}[/tex]

For the length of XY we will apply Pythagoras theorem in ΔXYZ,

XZ² = XY² + YZ²

XY² = XZ² - YZ²

      = (40)² - (32)²

XY = √576

     = 24

sin(Z) = [tex]\frac{24}{40}[/tex]

sin(Z) = [tex]\frac{3}{5}[/tex]

Picture 4

In right triangle DEF,

Cos(D) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

           = [tex]\frac{EF}{DF}[/tex]

           = [tex]\frac{75}{72}[/tex]

           = [tex]\frac{25}{24}[/tex]

Picture 5

In ΔABC,

tan(63°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

tan(63°) = [tex]\frac{BC}{AB}[/tex]

AB = [tex]\frac{BC}{\text{tan}(63)}[/tex]

AB = [tex]\frac{8}{\text{tan}(63)}[/tex]

AB = 4.0762 ≈ 4 m

Option (3) will be the answer.

Answer:

With $38.50 you can get on 11 rides.

Step-by-step explanation:

10.50 ÷ 3 = 3.50 per ride.

38.50 ÷ 3.50 = 11 rides.

Answer:

c

Step-by-step explanation:

Answer:

Convection.

Step-by-step explanation:

Convection  is where warm air rises and cool air falls. This picture is an example of Convection.

Step-by-step explanation:

I would say the area its getting built. imagine wanting to build a house but you can't dig the sewer (if thats the spelling) pipes bc the area you want doesn't have any water or something like that. definitely money. without it, you can't do anything, you can't buy materials or even hire people to help you because you cannot tell me that you can build a house on your own. Another I would say is Labor cause like I said, if you ain't got nobody to help you, you're probably going to take a few years or more. so if you want to build a house in an area where there is a few architects and designers, you're just going to have to suck it up and get what you get.

Step-by-step explanation:

y-y1=m(x-x1)

m=y2-y1/x2-x1

Answer:

6.39 x # of tables assembled

Step-by-step explanation:

Well you didn't tell us the number of tables she assembled that week, but the equation would be 6.39 x the # of tables she assembled.

Answer:

-4/7

Step-by-step explanation:

The first step of this problem would be changing the format of the equation so that it fits into slope-intercept form.

-4x = 7y + 13

-4x -7y = 13        (subtract 7y from both sides)

-7y = 4x + 13      (add 4x to both sides)

7y = -4x -13        (divide both sides by -1)

y = -4/7x - 13/7  (divide both sides by 7)

Now that it is in slope-intercept form, finding the slope is simple as long as you know what to look for.

Remember that y is simply a variable, just because it is at the beginning of the equation does not mean -4/7x - 13/7 is the answer. The question is asking specifically for the slope of the line. Slope in this equation is m. If y = mx + b, then m = -4/7.

The slope of the line is -4/7.

[tex] \huge \purple{\tt{Answer:}} [/tex]

[tex]\sf {tan~K} = \sf{{\dfrac{opposite~side}{adjacent~side}}} =\sf{{\dfrac{24}{51}}} [/tex]

None of the answers are correct

Answer:

342

Step-by-step explanation:

Answer:

342

Step-by-step explanation:

600 - 258 = 342

Note:

Please mark as Brainliest! <3

Answer:

x = 62.1

Step-by-step explanation:

Note the equal sign in this equation, what you do to one side, you do to the other. Isolate the variable, x, by dividing 10 from both sides of the equation:

[tex]621 = 10x\\\\\frac{621}{10} = \frac{10x}{10} \\\\x = \frac{621}{10} \\x = 62.1[/tex]

Answer:

x = 62.1

Step-by-step explanation:

Answer lit

Step-by-step explanation:

Answer:

9,000+100+60+7+.3+.06+.004

Step-by-step explanation:

Hi there!

If the nickels and dimes ratioe are both 2:6, then the quarter is also 2:6.

The total of of all together is also 6:6 and 6:6 is also 120 coins.

120 divide by 3 different kinds of coins are 40.

This means that there are 40 of 1 coin out of 3 different kinds of coins. What I really mean is that each coins all have 40 each...

Therefore, the ratios of nickels to dimes and to quarters are 40:40:40...

Answer I think D, I would never choose b :

Step-by-step explanation:

Answer:

891

242

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

The first equation is an expression of the first given relationship:

  A + B = 389 . . . . . . where A and B represents trains weights, respectively

The second equation is an expression of the relationship described in the next two sentences:

  A - B = 263

__

These equations can be solved by adding them together:

  (A +B) +(A -B) = 389 +263

  2A = 652 . . . . . . simplify

  A = 326 . . . . . . . .divide by 2*

  B = 326 -263 = 63

Train A weighs 326 tons.

Train B weighs 63 tons.

_____

* You may notice that this value is the average of the given sum and difference. That observation is true of all "sum and difference" problems.

Answer:

point (2 , 10)

Y= 5X

10 = 5(2)

10= 10

Answer:

2 9/14

Step-by-step explanation:

first we must make 1/6 and 3/7 have common demoniaters! (or however u spell it)

1/6 x 7/7 = 7/42

3/7 x 6/6 = 18/42

7/42 + 18/42 = 25/42

2/7 x 6/6 = 12/42

25/42 + 12/42 = 37/42

37/42 + 7/42 = 44/42

44/42 + 18/42 = 62/42

62/42 + 12/42 = 74/42

5/7 x 6/6 = 30/42

74/42 + 30/42 = 104/42

104/42+7/42 = 111/42

111/42 = 2 9/14

Answer:

3) 10

4) 12

Step-by-step explanation:

It’s the Pythagorean Theorem.

3) 6²+8²=c²

36+64=c²

100=c²

√100=c

c=10

4) 7.2²+9.6²=c²

51.84+92.16=c²

144=c²

√144=c

c=12

Answer:

c = 10km

Step-by-step explanation:

This is for #3.

Pythagoream Theoreom formula: a^2 + b^2 = c^2

Plug in the numbers into the formula and simplify.

8^2 + 6^2 = c^2

64 + 36 = c^2

100 = c^2

√100 = 10

c = 10km

Hope this helps!:)

Answer:

6x+3

Step-by-step explanation:

24x-6x-12x+3

6x+3

Answer:

2 miles.

Step-by-step explanation:

In this case, we would multiply the numerator by 3 since we know that it takes him 10 minutes to run 2/3 of a mile. So, 2x3 = 6. Which gives us 6/3. Simplified that would be 2 miles. Hope this helps!

Answer:

See working below

Step-by-step explanation:

You can apply Thales Intercept Theorem ("similar triangles")

a. [tex]\frac{36}{24}\:=\:\frac{48}{ET},\:ET\:=\:\frac{24\cdot 48}{36}\:=\:32[/tex]

b. [tex]\frac{36+24\:}{AJ}=\:\frac{48+ET}{40},\:\frac{60\:}{AJ}=\:\frac{48\:+\:32}{40},\:\frac{60}{AJ\:}=\:\frac{80}{40},\:AJ\:=\:\frac{1}{2}\left(60\right)\:=\:30[/tex]

c.

[tex]\\\frac{48}{CT}\:=\:\frac{36}{36+24}\:=\:\frac{27}{AT},\\\\CT = CE + ET = 48 + 32 = 80\\\\\frac{48}{80}\:=\:\frac{36}{60}\:=\:\frac{27}{AT},\:0.6\:=\:\frac{27}{AT},\:AT\:=\:\frac{27}{0.6}\:=\:45[/tex]

d.

[tex]\frac{36+24+AJ}{12\:}=\:\frac{48+ET+40}{OS}\\\\\frac{36+24+30}{12}=\:\frac{48+32+40}{OS},\:\frac{90}{12}\:=\:\frac{120}{OS},\:OS\:=\:\frac{12\cdot 120\:}{90}=\:16[/tex]

e.

[tex]\frac{36+24}{36+24+AJ\:}=\:\frac{48+ET}{48+ET+40\:}=\:\frac{AT}{JO}\\\\\frac{60\:}{36+24+30}=\frac{\:48+32}{48+32+40}\:=\:\frac{45}{JO}\\\\\frac{60}{90}=\:\frac{80}{120}\:=\:\frac{45}{JO}\\\\JO\:=\:\frac{135}{2}\:=\:67.5[/tex]

f.

[tex]\frac{36+24+AJ\:}{36+24+AJ+12}=\frac{\:48+ET+40}{48+ET+40+OS}\:=\:\frac{JO}{NS}\\\\\frac{90}{102}\:=\:\frac{120}{136}\:=\:\frac{67.5}{NS}\\\\NS\:=\:\frac{136\cdot 67.5}{120}=\:76.5[/tex]

Answer:

Step-by-step explanation:

I didn’t see any choices but an inverse function switches the x and y values.

For every (x,y) of f(x) the inverse function will have (y,x) of f^-1(x)

Answer:

The point (4, –7) is on the graph of f(x), so the point (7, –4) will be on the graph of f–1(x).  (quick answer A)

Step-by-step explanation:

Answer:

2 an ? Im pretty sure hope it helped

Answer:

an = 0.3(0.1)^(n - 1)

Step-by-step explanation:

so it's number 4 ;)

Answer:

5

Step-by-step explanation:

if the area is 15 you would divide 15 by 3 and you'll get the length of 5

Answer:

5 feet

Step-by-step explanation:

Answer:

IQR = 10

Step-by-step explanation:

1. Find the median (middle data point.)

2. Find the median of the upper quartile (70 - 80.)

3. Find the median of the lower quartile. (60 - 70.)

4. Subtract the lower quartile from upper quartile.

1. median of the data = 70

2. median of Q2 = 75

3. median of the Q3 = 65

4. 75 - 65 = 10

IQR = 10