simplify the expression please

Answer:

[tex]Orange\ area = A^2(\sqrt{3}/4 - \pi/8) = 0.0403A^2[/tex]

Step-by-step explanation:

First let's find the area of the triangle, using the formula:

[tex]Area\_triangle = side^2\sqrt{3}/4[/tex]

[tex]Area\_triangle = A^2\sqrt{3}/4[/tex]

Now, let's find the area of each circular sector of 60° (internal angle of a equilateral triangle):

[tex]Area\_sector = \pi*radius^2*60/360[/tex]

[tex]Area\_sector = \pi*(A/2)^2/6[/tex]

[tex]Area\_sector = \pi*A^2/24[/tex]

Now, To calculate the orange area in the center, we have:

[tex]Orange\ area = Area\_triangle - 3*Area\_sector[/tex]

[tex]Orange\ area = A^2\sqrt{3}/4 - \pi*A^2/8[/tex]

[tex]Orange\ area = A^2(\sqrt{3}/4 - \pi/8)[/tex]

[tex]Orange\ area = 0.0403A^2[/tex]

Luis debia 12900 centavos y paga 1546 centavas entonces el todavía debe 11354 centavos

Answer:

The y-intercept would be 6.25

Step-by-step explanation:

I found this by taking the two points and making it into a y = mx + b line.

Answer:

(0,3)

Step-by-step explanation:

We can use the slope-intercept form to find the y-intercept.

First, we need to find the slope of the line.

We are given the points (-1,7) and (1,-1).

[tex]m=\frac{rise}{run}=\frac{-1-7}{1+1}=\frac{-8}{2}=-4[/tex]

The slope is -4.

Slope-intercept is [tex]y=mx+b[/tex].

We can replace 'y' and 'x' with one of the points given, 'm' with the slope, and solve for 'b'. "B" would be the y-intercept.

I will use (-1,7):

[tex]7=-4(-1)+b\\\\7=4+b\\\\7-4=4-4+b\\\\\boxed{3=b}[/tex]

The line's equation is [tex]y=-4x+3[/tex].

Therefore, the y-intercept is '3'. The coordinates of the y-intercept is (0,3).  

Answer:

99

Step-by-step explanation:

(99^2-98^2)/197+(98^2-97^2)/195+(97^2-96^2)/193+ ... +(2^2-1^2)/3

each term can be written as:

so the sum will look as:

(all middle terms get cancelled leaving only 99 and -1 in the equation)

Answer:

About 2.7 feet

Step-by-step explanation:

The tangent of an angle is equivalent to the length of the opposite side divided by the length of the adjacent side:

[tex]\tan 44=\dfrac{x}{2.8}\\\\x=2.8 \cdot \tan 44\approx 2.7[/tex]

Hope this helps!

Answer:

x = 2.7 feet

Step-by-step explanation:

Use tan to find the value of x

tan 44 = [tex]\frac{x}{2.8}[/tex]      Simplify

0.9657 = [tex]\frac{x}{2.8}[/tex]    Multiply both sides by 2.8

x = 2.70396    Round this answer to the nearest tenth of a foot

x = 2.7 feet

Answer:

72

Step-by-step explanation:

Step 1: Figure out percentages of what he owns

360(0.4) = 144 models he made

360 - 144 = 216 models he bought.=

Step 2: Figure out percentages of what he donated

144(0.25) = 36 models he donated (he made)

216(0.5) = 108 models he donated (he bought)

Step 3: Find the difference

108 - 36 = 72

And we have our answer!

Answer:

x + y ≥ 3

x + y ≤ 3

Step-by-step explanation:

In the picture attached, the problem is shown.

The solution to the system:

x + y ≥ 3

x + y ≤ 3

is the line x + y = 3

In order to get a solution to a system of inequalities that is a line, we need the same equation on the left (here, x + y), the same constant on the right (here, 3), and the ≥ sign in one inequality and the sign ≤ in the other one.

Answer:  (b) x = -2/3

Step-by-step explanation:

The vertical asymptote is the restriction on x.

The denominator cannot be equal to zero so that it the restriction.

Set the denominator equal to zero and solve for x to find the asymptote.

3x + 2 = 0

3x       = -2

 x       = -2/3

Answer:

5/6 and 6/7

Step-by-step explanation:

In the top of the fraction its going up by one each time (1,2,3,4 so the 5 and 6 would be the top half of the fraction), and in the bottom half its also going up by one but it started at 2 so its one more than the top half  (2,3,4,5, so the 6 and 7 would be the bottom half of the fraction)

Answer:

=

[tex] \frac{5}{6} ,\frac{6}{7} [/tex]

solution,

here,

Top numbers are increasing by 1

Bottom numbers are also increasing by 1.

[tex] \frac{1}{2} , \frac{2}{3} ,\frac{3}{4} , \frac{4}{5} , \frac{4 + 1 }{5 + 1} = \frac{5}{6} , \frac{5 + 1}{6 + 1} = \frac{6}{7} [/tex]

hope this helps...

Good luck on your assignment...

Answer:

RT is 6.95 units long

Step-by-step explanation:

Use tan to find the unknown measurement

tan 41 = x/8     Simplify

0.8692 = x/8  Multiply both sides by 8

6.9536 = x

Answer:

Proportion of blue marbles in in sample = 9/40

Step-by-step explanation:

Total number of blue marbles in a jar is given by 25%

Lets find the probability of blue marble in the jar of the given sample:

Proportion of blue marbles in in sample = Total number of blue marbles in sample/ Total number of marbles in sample

Where

Total number of blue marbles in sample = 9

Total number of marbles in sample = 9 + 15 + 16

Total number of marbles in sample = 40

SO

Proportion of blue marbles in in sample = 9/40

or

Proportion of blue marbles in in sample = 9/40

Answer:

[tex]19( 42+ 58)[/tex]

Step-by-step explanation:

[tex]19 \cdot 42+19 \cdot 58\\[/tex]

The common factor is 19

[tex]19( 42+ 58)[/tex]

Answer:

A

Step-by-step explanation:

dont know how explain.

Answer:

[tex]Dina= 35[/tex]

Step-by-step explanation:

Given

[tex]Ratio = 4:2:5[/tex]

Peter = 14 more A's than Chris

Required

How many A’s did Dina get?

The order of the ratio is Peter: Chris: Dina

This implies that

[tex]Peter: Chris: Dina = 4:2:5[/tex]

Considering Peter and Chris

[tex]Peter: Chris = 4:2[/tex]

Let the number of Chris' A's be represented by A

This implies that:

Peter's = 14 + A

And as such;

[tex]14 + A : A = 4 : 2[/tex]

Convert ratio to division

[tex]\frac{14 + A}{ A} = \frac{4}{ 2}[/tex]

Multiply both sides by A

[tex]A * \frac{14 + A}{ A} = \frac{4}{ 2}* A[/tex]

[tex]14 + A = \frac{4}{ 2}* A[/tex]

[tex]14 + A = 2* A[/tex]

[tex]14 + A = 2 A[/tex]

Subtract A from both sides

[tex]14 + A-A = 2 A-A[/tex]

[tex]14 = A[/tex]

This means that;

Chris answered 14 while Pete answered 28 (14 + 14)

Considering Chris and Dana

[tex]Chris :Dana = 2:5[/tex]

Replace Chris with 14

[tex]14:Dana = 2:5[/tex]

Convert ratio to division

[tex]\frac{14}{ Dina} = \frac{2}{5}[/tex]

Cross Multiplication

[tex]Dina * 2 = 14 * 5[/tex]

Divide both sides by 2

[tex]\frac{Dina * 2}{2} = \frac{14 * 5}{2}[/tex]

[tex]Dina= \frac{14 * 5}{2}[/tex]

[tex]Dina= \frac{70}{2}[/tex]

[tex]Dina= 35[/tex]

Hence, Dina had 35 A's

Answer:

5.5

Step-by-step explanation:

Each can holds 2 liters of paint. There is 11 liters of paint. The question is asking you to figure out how many cans of paint you can fill with 11 liters of paint. We can divide 11 by 2 to get the answer. 11÷2=5.5. The reason this works is because we are dividing the total amount of paint by how much each can will hold. 5.5 can also be written as "five and a half". So, the 11 liters of paint will fill 5.5 cans. Hope this helps!

Answer:

50√3/3

Step-by-step explanation:

30-60-90 triangle

50:x = 2sqrt3 : 2

50*2 =100

100/2sqrt3 = ​3

​50√

​3

​

Please mark me brainiest..

​​

​​

Answer:

x=1 , y = -1

Step-by-step explanation:

-2.4x-3.6y = 1.2

2.4x+1.2y = 1.2

Add the equations together

-2.4x-3.6y = 1.2

2.4x+1.2y = 1.2

---------------------------

   -2.4 y = 2.4

Divide by -2.4

y = -1

Now find x

2.4x +1.2y = 1.2

2.4x +1.2(-1) = 1.2

2.4x -1.2 = 1.2

Add 1.2 to each side

2.4x -1.2+1.2 = 1.2+1.2

2.4x = 2.4

Divide by 2.4

x = 1

Answer:

x=1

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

median, mode, range, mean

Step-by-step explanation

the median is found by putting the data in order and selecting the middle value

the mode is the value that occurs the most often

the range is the difference between the greatest and least value

and the mean is the sum of all the values divided by the number of values

Answer:

The  ✔ median   is calculated by putting the data in order and selecting the middle value.

The  ✔ mode   is the data value that occurs the most in a set of data.

The  ✔ range  is the difference between the maximum and minimum values of a data set.

The  ✔ mean  is the sum of the data divided by the number of data values.

Students were asked how many pairs of shoes they owned. Their responses were 8, 2, 1, 5, 7, 6, 2, 2, 8, and 3.

The mean of the data is 4.4.

The median of the data is  4 .

The mode of the data is  2 .

The range of the data is  7 .

Step-by-step explanation:

Just took the test from E D G E N U I T Y....

hope this helps :P

Answer:

42,000 mg

Step-by-step explanation:

multiply the mass value by 1000

42K thats all--------------------

Answer:

Choice D

Step-by-step explanation:

[tex]3\dfrac{1}{2}\cdot 5 \cdot \dfrac{1}{2}= 3.5\cdot 5\cdot 0.5=8.75 = 8\dfrac{3}{4}[/tex]

Hope this helps!

Cubic feet would be volume.

Volume = length x width x height

Volume = 3 1/2 x 5 x 1/2 = 8 3/4 cubic feet.

Answer: B. 90ᴼ

Step-by-step explanation:

QRS is a right angle. Right angles always have a measure of 90ᴼ

Answer:

B

Step-by-step explanation:

Right angle is  90

Answer: 430 miles

Step-by-step explanation:

Distance = speed x time

1) D = 50 x 3 = 150

2) D = 40 x 7 = 280

Total distance travelled = 150+280 = 430

Answer:

Only option C shows a function

Step-by-step explanation:

The vertical line test is a visual way to determine if a curve is a graph of a function or not. A function can only have one output, y, for each unique input, x. This means that a vertical line made in the domain of the function can crosses the curve of the function only once. If it crosses the curve of the function more than once, then the curve is not a function.

In option A, a vertical line would cross two values, so it is not a function.

The curve of option B is a vertical line itself, so a vertical line would intersect an infinite amount of points; then it is not a function.

Option C is a function because a vertical line would only intersect the function's curve (which is a line) once.

Answer:

C) None of the above

Step-by-step explanation:

Reason is V is a shorter distance and q is longer they need to be subtraction but the other way round to enable the correct subtraction we can show (q-V) which means the longer distance minus the shorter distance.

Answer:

Step-by-step explanation:

Common ratio = 2nd term/1st term = 4/-16 = -1/4

[tex]a_{n}=a_{n-1}*r\\a_{n}=a_{n-1}*\frac{-1}{4}\\\\a_{n}=\frac{-1}{4}a_{n-1}[/tex]

Answer:

Common ratio = 2nd term/1st term = 4/-16 = -1/4

Step-by-step explanation:

Answer:

d.mean =15, median =15.5, mode = 16

Step-by-step explanation:

hello,

to find the mean, you add all the numbers together and divide it by the total number of numbers. so that would be 150 (total sum) divided by 10 (number of numbers) to get 15.

to find the median, you would organize the numbers from least to greatest and find the middle number which is 15.5.

last but not least, to find the mode, just look for the number that appears most often. Therefore, the mode would be 16.

hope this helped!

Answer: 79/4

Step-by-step explanation:

The kettle contains 20 3/8 cups of soup = 163/8 cups

A server scoops 5/8 cup from the kettle

So,

163/8 - 5/8 = 158/8 = 79/4

Answer:25000 because 1 m is equal to 1000mm

PLEASE MARK ME AS BRAINLIEST

Answer: If there is an even amount of numbers in the list, the median is the average of the two middle most numbers, once they are in least to greatest.

Step-by-step explanation:

Answer:

∠LOM is 48°

Step-by-step explanation:

∠MOL+∠MON=180°

6x°+12°+7x°-92°=180°

13x°-80°=180°

Add 80° to both sides

13x°=260°

Divide both sides by 13

x°=20°

Plugging x° into the equation for ∠LOM, we get:

7×20°-92°=

140°-92°=

48°

∠LOM is 48°