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]
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)?
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.
Learn more about percentages here:
https://brainly.com/question/11403063
#SPJ2
Graph g(x), where f(x) = 4x – 2 and g(x) = f(x + 1).
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?
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.
To solve more questions on Plotting inequalities, visit the link below -
brainly.com/question/1782515
#SPJ6
Which of the following steps were applied to ABCD to obtain A’B’C’D’ ?
Answer: a
Step-by-step explanation: they went 4 left and 3 up
Help will give brainliest
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!!
HELP ME PLEASE REALLY IMPORTANT OR ILL GET IN TROUBLE!! WILL MARK AS BRAINLEST IF YOU GET IT CORRECT!!
Answer:
7
Step-by-step explanation:
(139) HELLLLLLLLLLLLLLLLLLLLLLLLLP
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
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
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?
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
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
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.
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.
Learn more about the average rate visit:
https://brainly.com/question/27849077
#SPJ2
Please help me ASAP!!!
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
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
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?
if a=3i+9j and b=4i-6j, find 5a-3b Write your answer in the form i + j.
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
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]
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
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?
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?
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
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
What is the area of a rectangle with vertices (-8, -2), (-3,-2).(-3,-8), and (-8, -B)?
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
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
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.
A $20,000 business computer depreciates at a rate of 15% per year. What equation would model the value of the computer?
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]