The triangle is an equilateral triangle

One side is A

The radius is A/2

What is the area of the center triangle?

The Triangle Is An Equilateral TriangleOne Side Is AThe Radius Is A/2What Is The Area Of The Center Triangle?

Answers

Answer 1

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]


Related Questions

Carol Byrd gets a student rate of $30.00 a month. There is a $200 deductible; but no coinsurance payment. She
recently received treatment for a covered condition. The bill was $2,050.00. Carol's insurance company provided
payment of 80% of the bill less the deductible.
What was the company's payment?
What was Carol's total cost (ignoring the monthly premium)?

Answers

Answer:

$160

Step-by-step explanation:

100/100 = 100 ÷ 100 = 100% = 1. Multiply a number by the fraction 100/100

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

The company payment is $1440.

Carol's total cost is $610.

What is a percentage?

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

Cost of the bill = $2,050

Company payment = 80% of the bill less the deductible

This means,

80/100 x 2,050 = 1640

Company payment.

= 1640 - 200

= $1440

Now,

Carol's total cost.

= 2,050 - 1440

= $610

Thus,

The company payment is $1440.

Carol's total cost is $610.

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Graph g(x), where f(x) = 4x – 2 and g(x) = f(x + 1).

Answers

Answer:

Please see attached image

Step-by-step explanation:

We start by finding the actual algebraic expression for g(x):

g(x) = f(x+1) = 4(x+1) - 2 = 4 x + 4 - 2 = 4 x + 2

Then we plot this function on the x-y plane using two or three pairs solution to the equation, like:

for  x = 0  g(x) = 2

for x = 1   g(x) = 6

for x = -1  g(x) = -2

and joining them with a line.


Which is the graph of the linear inequality y < 3x + 1?




Answers

Answer:

Step-by-step explanation:

The graph for the inequality is attached with the answer.

We have a linear inequality -

y < 3x + 1

We have to plot the graph of this linear inequality.

What is an Inequality?

An inequality in mathematics compares two values or expressions, showing if one is less than, greater than, or simply not equal to another value.

According to the question, we have -

y < 3x + 1

Now, in order to plot the graph for this inequality, let -

y = 3x + 1

Plot the line for the above equation. Remember to plot the graph in the form of dashed line since the inequality is strict inequality.

Consider the point (0, 0) -

Solve the inequality for the point (0, 0), we get -

0 < 3 x 0 + 1

0 < 1

Which is true.

Hence, shade the complete area on that side of line where the point

(0, 0) lies.

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Which of the following steps were applied to ABCD to obtain A’B’C’D’ ?

Answers

Answer: a

Step-by-step explanation: they went 4 left and 3 up

Help will give brainliest

Answers

Answer:

C

Step-by-step explanation:

55% is the same thing as 0.55. 0.55(300) equals 165

Hope this helps! Please give brainliest!!

C
Here’s how you do it:
55/100=x/300
x=165

HELP ME PLEASE REALLY IMPORTANT OR ILL GET IN TROUBLE!! WILL MARK AS BRAINLEST IF YOU GET IT CORRECT!!

Answers

Answer:

7

Step-by-step explanation:

(139) HELLLLLLLLLLLLLLLLLLLLLLLLLP

Answers

Answer:

Step-by-step explanation:

-3.25a+4a=2-5

0.75a=-3

a = -4

Tell me if its right

hey pls show some working i need some serious help

Answers

Answer:

[tex]\frac{x^{12}y^{4}}{z^3}[/tex]

Step-by-step explanation:

Step 1: Multiply exponents

[tex]\frac{y^{6/6}z^{-6/2}}{x^{-12}y^{-6/2}}[/tex]

Step 2: Simplify

[tex]\frac{yz^{-3}}{x^{-12}y^{-3}}[/tex]

Step 3: Flip the negative exponents

[tex]\frac{x^{12}y^{4}}{z^3}[/tex]

pls help will mark brainliest

Answers

Answer:

[tex]1.11111 * 10^{11}[/tex] or [tex]111111000000[/tex]

Step-by-step explanation:

[tex]\frac{6666666*666666}{1+2+3+4+5+6+5+4+3+2+1}[/tex] turns into [tex]\frac{6666666 * 666666}{36}[/tex]

[tex]\frac{777777 * 777777}{1+2+3+4+5+6+7+6+5+4+3+2+1}[/tex] turn into[tex]\frac{777777^{2} }{49}[/tex]

[tex]\frac{6666666 * 666666}{36}[/tex] - [tex]\frac{777777^{2} }{49}[/tex] reduce these turns into

[tex]1111111 * 111111 - 15873 * 777777[/tex] multiply turns into

[tex]123456654321 - 12345654321[/tex] subtract turns into

[tex]111111000000[/tex]

Answer: 111,111,000

Step-by-step explanation: Logically it should be that

Alex and Thomas share 30 sweets.They divide them in the ratio 3:2. Which share is Alex?​

Answers

Answer:

Alex : 18

Step-by-step explanation:

3 + 2 = 5

30 ÷ 5 = 6

6 × 3 = 18

6 × 2 = 12

x^2 + 6x + 5 show equation​

Answers

Answer:

[tex]\boxed{\sf \ \ \ x=-5 \ \ \ or \ \ \ x=-1 \ \ }[/tex]

Step-by-step explanation:

[tex]x^2+6x+5 = x^2+x+5x+5 = x(x+1)+5(x+1)=(x+5)(x+1)[/tex]

so

[tex]x^2+6x+5 = 0 <=> (x+5)(x+1)=0\\\\<=> x = -5 \ or \ x=-1[/tex]

hope this helps

The sum of three numbers is 62. The second number is equal to the first number diminished by 4. The third number is four times the first. What are the numbers? Which three expressions could be used to represent the numbers?
A n; n - 4; 4n
B n; 4 - n; n + 4
C n; n/4; n + 4

Answers

Answer:

38

Step-by-step explanation:

38 because

Find the average rate of change of the function

f(x) = x² + 9x from x1 = 1 to x2 = 5.

Answers

Answer:

15

Step-by-step explanation:

The function is;

f(x) = x² + 9x

We are to find the average rate of change from point [tex]x_{1}[/tex] = 1 to point [tex]x_{2}[/tex] = 5

Average rate of change = [tex]\frac{f(x+h) - f(x)}{h}[/tex]  where h is the change in x-axis

When x = 1 , f(x) = 1² + 9(1) = 10

When x = 5, f(x) = 5² + 9(5) = 70

f(x + h) - f(x) = 70 - 10 = 60

h = 5 - 1 = 4

So average rate of change = [tex]\frac{60}{4}[/tex] = 15

The average rate of change of the function f(x) = x² + 9x from x₁ = 1 to

x₂ = 5 will be 15.

What is Average rate?

The average rate change is defined by divide the change in y - values by the change in x - values.

Given that;

The function is defined as;

⇒ f(x) = x² + 9x ; from x₁ = 1 to x₂ = 5

Now,

The formula for the average rate change is given as;

Average change = f (x + h) - f (x) / h

Where, h is change in x - axis.

Since, The function is;

f(x) = x² + 9x

When,  x₁ = 1

f(x) = x² + 9x

f(1) = 1² + 9

f (1) = 10

When, x₂ = 5

f(x) = x² + 9x

f(x) = 5² + 9 x 5

f (5) = 25 + 45

f (5) = 70

So, Average change = f (x + h) - f (x) / h

Average change = 70 - 10 / (5 - 1)

                         = 60 / 4

                         = 15

Thus, The average rate of change of the function f(x) = x² + 9x from x₁ = 1 to x₂ = 5 will be 15.

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Please help me ASAP!!!

Answers

Answer:

Yes

No

Yes

No

Step-by-step explanation:

9, 15 have 3 as the GCF

12, 18 have 6 as the GCF

15, 27 have 3 as the GCF

30, 45 have 15 as the GCF

Selena has 31 days to complete her quilt for the county fair. The blue squares in the quilt can be sewn at a rate
of 4 squares per day, and the white squares at a rate of 7 squares per day. The quilt can have up to 96 squares
total. The blue fabric b costs about $0.80 per square and the white fabric w costs about $1.20 per square. Selena
wants to keep costs at a minimum. Write an inequality that expresses the total number of squares to be sewn.
Select one:
a. 4b + 7w < 96
b. 4b + 7w < 31
c. b + w <31
O d. b/4 + w/7 < 31

Answers

Answer:

The answer is a

Step-by-step explanation:

Becuase its right

Answer:

This is not an answer, just my though process:

Step-by-step explanation:

The fastest method would use all white squares:

96 white squares would take 13.7 days to complete and cost $115.20.

The cheapest method would use all blue squares:

96 blue squares would take 24 days to complete and cost $76.80.

As we can see, time is not the limiting step, the maximum of 96 squares is limiting.

An inequality equation should use the limiting step for it to be useful. Therefore, a, is most likely the answer.

A more concise answer would be: [tex]4b\leq 96[/tex]

How many kilograms are in 76.2 grams? Use the metric table to help answer the question. Metric Table kilo- hecto- deka- unit deci- centi- milli- 1,000 100 10 1 0.1 0.01 0.001 0.000762 kilograms 0.00762 kilograms 0.0762 kilograms 0.762 kilograms

Answers

Answer:

0.0762 kilograms

Answer:

0.0762  kilograms

Step-by-step explanation:

Two electricians are assigned to work on a remote control wiring job. One electrician works 8 1/2 hours each day, and the other electrician works 2 1/2 hours each day. If both work for 5 days, how many hours longer does
the first electrician work than the second electrician?

Answers

8.5 • 5 = 42.5
2.5 • 5 = 12.5
42.5 - 12.5 = 30
The first electrician worked 30 hours longer than the second electrician.

if a=3i+9j and b=4i-6j, find 5a-3b Write your answer in the form i + j.

Answers

Answer:

3i + 63j

Step-by-step explanation:

Step 1: Replace the variables with the given statements

5(3i+9j) - 3(4i-6j)

Step 2: Distribute

15i + 45j -12i + 18j

Step 3: Combine like terms

3i + 63j

1/2(8+6)-2=4+x-2 pls explain the steps on how to get the answer

Answers

This is how you solve 1/2(8+6)-2=4+x-2

Answer:

3

Step-by-step explanation:

1/2(8+6)-2=4+x-2

1/2*14 -2 = 2+x

7-2=2+x

5=2+x

x=5-2

x=3

[tex]2 3/5 × 3 1/3[/tex]

Answers

Answer:

26/3

Step-by-step explanation:

2 3/5 × 3 1/3

Change to improper fractions.

13/5 × 10/3

Multiply both fractions.

130/15

Simplify.

26/3

PLZ HELP Find the surface area of this rectangular pyramid. 48.5 square inches 48 square inches 31.75 square inches 55 square inches

Answers

Answer:

48.5

Step-by-step explanation: i just did the problem

Answer:

48.5 is your answer

Step-by-step explanation:

A water pipe took 40 minutes to fill 5 swimming pools, how long would it take to fill 3 such swimming pools?

Answers

Answer:

24

Step-by-step explanation:

It takes 40 / 5 = 8 minutes to fill one pool so it will take 8 * 3 = 24 minutes to fill 3 pools.

Answer: 24

Step-by-step explanation:

40/5=8

So 8hrs per pool, and there are  3 pools so 8*3=24min

A car of mass 1200 kg, travelling at a steady speed of 15 m/s performs an emergency stop which takes 4.5 seconds. What braking force was applied by the driver and car to achieve this?

Answers

Answer:

4000 N

Step-by-step explanation:

this question should be in physics actually

m = 1200 kg

initial velocity = vo = 15 m/s

final velocity = vt = 0 because it stops

time needed = t = 4.5

so we can find the Force F by these step

first find deacceleration

vt = vo + at

0 = 15 + a(4.5)

15 = -4.5a

a = - 15/4.5 = - 10/3 = - 3.33 m/s²

F = m.a = 1200 . 10/3 = 4000 N

Line a is parallel to line b. If the measure of <2 is 78, what is the measure of <5

Answers

Step-by-step explanation:

x + 78 = 180

x = 180 - 78

x = 102° for <5

Jeremy's grandfather is four times as old as he is. If you add their ages together, you will get ninety. How old is Jeremy's grandfather? A. 18 B. 19 C. 70 D. 72

Answers

let Jeremy's age be x
if Jeremy's grandfather is four times as old as he is,grandfather's age is 4x
if the sum of their ages is 90, we have
x%2B4x=90
5x=90
x=90%2F5
x=18->Jeremy's age
Jeremy's grandfather will be 4x=4%2A18=72
answer:
D. 72

What is the area of a rectangle with vertices (-8, -2), (-3,-2).(-3,-8), and (-8, -B)?

Answers

Answer:

The area of the rectangle would be 20 square units.

Step-by-step explanation:

The distance between the points (-8, -2) and (-3,-2) is 5. This is the length of the rectangle.  The distance between (-3,-6) and (-3,-2) is 4. This is the width of the rectangle. To find the area, multiply the length and the width to get the 20 square units as the area.

Answer:

Area = 20

As B = -4

Where -3-1 = -4

We look at x for first measure = -8 -3 = 5

We look at y first sequence change for second measure = -B

x/y = -3-8 /-8 + B

= -3-8 = -8(-8)+B

B = -3+B = -3+1

B= -3+1 = -4

Second measure = -8-4 = 4

Therefore, using both measures in bold : the Area = 4 x 5  = 20  

Step-by-step explanation:

A baby saw a toy and scooted closer, moving 1/3 of a meter in 1/4 of a minute.How fast was the baby moving

Answers

Answer:

1 1/3 meter a minute

Step-by-step explanation:

it pretty simple i just added

Answer:

1 1/3

Step-by-step explanation:

Need so help. REally appreciate it

Answers

Answer:

y = (1/2)(x) + 1/2

Step-by-step explanation:

The x-intercept is (-1, 0) and the y-intercept appears to be (0, 1/2).

As we go from the x-intercept to the y-intercept, x increases by 1 and y increases by 1/2.  Thus, the slope of the line is m = rise / run = 1/2.

Knowing that m = 1/2 and b = (0, 1/2), we can write the equation of this line in slope-intercept form as

y = (1/2)(x) + 1/2

Find the value of Y.

Answers

I believe it’s Y=7. Thanks me if it’s correct!
Y equals 7 that’s the answer!!

A $20,000 business computer depreciates at a rate of 15% per year. What equation would model the value of the computer?

Answers

Answer:

[tex]A = 20,000(0.85)^t[/tex]

Step-by-step explanation:

We will use the formula for compound interest here

where [tex]A = p( 1 + r)^t[/tex]

   A=future value  for any sum

   P=present value of the sum

   r= yearly interest rate, it should be expressed in  decimal

   t=time period , it should be in years

______________________________

given in the problem

p = $20,000

r = 15% (in decimal 15/100 = 0.15)

t is the time for which equation is to be model to find future value p

since, rate is for depreciation we need to take negative value of rate as value for computer will decrease

thus

r = -0.15

using the above values in formula  [tex]A = p( 1 + r)^t[/tex]

[tex]A = p( 1 + r)^t\\A = 20,000(1 - 0.15)^t\\A = 20,000(0.85)^t[/tex]

Thus, model  equation for the value of the computer is [tex]A = 20,000(0.85)^t[/tex]

Other Questions
Select the items which are taxed to raise money for the government.tobaccohospitalssalespersonal propertyeducationinheritancedebthighwaysliquorwelfare payments simplify 10+4(8q4) Riviera Township reported the following data for its governmental activities for the year ended June 30, 20X9: Item Amount Cash and cash equivalents $1,000,000 Receivables 300,000 Capital assets 8,500,000 Accumulated depreciation 1,200,000 Accounts payable 400,000 Long-term liabilities 4,000,000 Additional information available is as follows: All of the long-term debt was used to acquire capital assets. Cash of $475,000 is restricted for debt service. 1) Based on the preceding information, on the statement of net assets prepared at June 30, 20X9, what amount should be reported for total net assets?A) $2,425,000B) $4,200,000C) $2,900,000D) $3,625,0002) Based on the preceding information, on the statement of net assets prepared at June 30, 20X9, what amount should be reported for net assets invested in capital assets, net of related debt?A) $4,200,000B) $2,900,000C) $2,825,000D) $3,300,0003) Based on the preceding information, on the statement of net assets prepared at June 30, 20X9, what amount should be reported for net assets, unrestricted?A) $425,000B) $900,000C) $525,000D) $825,000 Solve for x? and the lengths missing side On December 31, Strike Company has decided to sell one of its batting cages. The initial cost of the equipment was $203,433.00 with an accumulated depreciation of $183,089.70. Depreciation has been taken up to the end of the year. The company found a company that is willing to buy the equipment for $18,308.97. What is the amount of the gain or loss on this transaction XYZ Company makes 400 widgets. The variable costs are $35.60 per unit and fixed costs are $30.00 per unit; however, $21.40 in fixed costs per unit is unavoidable. What is the effect on net income if the company instead buys the widgets from an outside supplier for $44.00 per unit? PLEASEEEEE ANSWER Gale wants to compare the cost of the events. Aquarium: $14.50 each ticket Carnival: c = 15.5 + 12f Wave pool: $16.75 each, but $12.25 each for groups larger than 4 Which of the claims Gale makes is true? The table represents all possibilities. The carnival always costs the least. The Aquarium always costs the most. (7, 101.5) is an ordered pair used to represent the aquarium cost. Select all the correct answers.Which two factors explain why salt was so valuable to West Africans?Salt helped prevent dehydration in the hot climate.Salt was used as a form of currency.Salt was one of the exotic goods traded by the Asian traders.Salt was used to preserve food.Salt was available only in Zimbabwe. Please help me with this problem, I can't figure it out 4. Uno de sus amigos(hablar):a.Hablab. Hablanc. hablamos Cretically analyse the difference and the point of convergence between floor inspection and functional inspection A ray in glass (n = 1.51) reaches a boundary with air at 49.2 deg. Does it reflect internally or refract into the air? Enter 0 for reflect, and 1 for refract. Rachel, Mario and Sanjit share some money in the ratios 4 : 3 : 9 Mario receives 96. Work out the difference between the amount received by Rachel and the amount received by Sanjit. Convert 100 days to weeks and days Prove your work what is 1/12 of a dozen Branliest Use a calculator to find tan 72. Round to the nearest thousandth. Compare and contrast the following piecewisedefined functions.(-x+ 2 x0g(x)= The measure of two angles of a triangle are 31 and 128 degrees. Find the measure of the third angle. I have 4 times as many 10-cent stamps as 3-cent stamps. I have one less 2-cent stamp than 3 cent stamp. If I have b2-cent stamps, what is the value of my stamp collection in terms of b ? What is the range of f(x)?-3, -2, -1, 0,1-2.-1.0.1all real numbers such that -3all real numbers such that -2