All the similar circles have π in common.
Thus, option (c) is correct.
When two circles are similar, it means they have the same shape but possibly different sizes.
However, the ratio of their corresponding lengths, including the circumference, remains constant.
Second, the ratio of the diameter will be constant but not congruent.
Third, the value of π is the universal constant whose value is 22/7 or 3.14.....
which is the same for every similar circle.
Thus, π has a common value.
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A baker is making dough for bread.the number of cups of flour he uses is proportional to the number of loaves he makes. The baker uses 18 3/4 cups of flour to make 5 loaves if bread. Which of the following correctly represents this proportion? Select all that apply.
A tree has 53 leaves. During a storm, it loses 29 leaves. How many leaves does the tree have left?
29 leaves
24 leaves
82 leaves
42 leaves
Minimun commun multiple of 1,2,3,8
What are the roots of the polynomial equation? x^2−12x−64=0
The roots of the polynomial equation x²−12x−64=0 are 16 and -4. These roots are calculated using the quadratic formula and represent the points where the function intersects the x-axis. The importance of finding real roots in quadratic equations is significant in solving real-world problems.
Explanation:Roots of Polynomial Equation
The roots or solutions of the polynomial equation x²−12x−64=0 can be calculated using quadratic formula. In general, the quadratic function is written as ax²+bx+c=0 and its roots are given by -b ± √(b² - 4ac) / 2a. In this case, a=1, b=-12 and c=-64.
Applying those values into the formula we get 12 ± √((-12)² - 4(1)(-64)) / 2(1) = 12 ± √(144 + 256) / 2 = 12 ± √400 / 2 = 12 ± 20 / 2. This gives us two possible roots: 16 and -4.
Graphically, these roots represent the x coordinates or points where the quadratic function intersects the x-axis on a two-dimensional graph. It is important to note that quadratic equations constructed on physical data always have real roots, which are important for solving real-world problems.
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A farmer has 300 ft of fencing with which to enclose a rectangular pen next to a barn. The barn itself will be used as one of the sides of the enclosed area.
What is the maximum area that can be enclosed by the fencing?
Enter your answer in the box.
ft²
Answer:
11250ft2
Step-by-step explanation:
i took the test to make sure the other guy was right
The total cost, after using a 55cents-off coupon, is $3.30. If c represents the cost of the fruit in dollars per pound, what equation could you use to find the value of c?
11) Carlos wants to mix granola and cranberries together to make trail mix. Granola costs $3 per pound and cranberries cost $5.50 per pound. Carlos is willing to spend $29 and wants to make 8 pounds of trail mix. Which system of equations could Carlos use to figure out how many pounds of granola (g) and cranberries (c) she should buy?
Answer:
3g+5.5c=29
g+c=8
Factor by grouping 5x^2 -40x + 3x +24
write y=(-3/4)x+3 in standard form using integers.
Please help:D will fan and medal
Amy notices that her credit card company has charged too high an interest rate for delayed payment this month. Which law protects her from this issue?
Fair Debt Collection Practices Act
Identity Theft and Assumption Deterrence Act
Magnuson-Moss Warranty Act
Fair Credit Reporting Act Credit Card
Accountability, Responsibility and Disclosure Act
E:Credit Card Accountability, Responsibility and Disclosure Act
Sorbet is a frozen dessert that is often made from fruit. how many portions each weighing 1/10 of a kilogram can a french dessert chef create from 3 kilograms of sorbet
Final answer:
A French dessert chef can make 30 portions of sorbet from 3 kilograms, with each portion weighing 1/10 of a kilogram, by simply dividing the total weight by the weight of one portion.
Explanation:
The subject of this question is Mathematics, specifically related to division and units of measurement. To find out how many portions each weighing 1/10 of a kilogram can be made from 3 kilograms of sorbet, we divide the total amount of sorbet by the weight of one portion. Therefore, we perform the division:
Determine the weight of one portion: 1/10 kg.
Divide the total weight of sorbet by the weight of one portion: 3 kg ÷ (1/10 kg).
The division gives us the result of 30 portions because 3 ÷ (1/10) is equivalent to 3 × 10.
So, a French dessert chef can create 30 portions of sorbet, with each portion weighing 1/10 of a kilogram.
since my uncles farmyard appears to be overrun with dogs and chickens. i asked him how many of each he had. he responded that his dogs and chickens had a total of 148 legs and 60 heads. how many dogs and chickens are there on my uncles farm?
There are 14 dogs and 46 chickens on your uncle's farm.
Explanation:To solve this problem, we can set up a system of equations. Let x be the number of dogs and y be the number of chickens on your uncle's farm.
The number of legs equation can be written as: 4x + 2y = 148 (since dogs have 4 legs and chickens have 2 legs).
The number of heads equation can be written as: x + y = 60 (since both dogs and chickens have 1 head).
We can solve this system of equations by substitution or elimination. Let's use elimination:
Multiplying the second equation by 2, we get 2x + 2y = 120.
Subtracting the new equation from the first equation, we can eliminate the 2y term: (4x + 2y) - (2x + 2y) = 148 - 120. Simplifying, we have 2x = 28.
Dividing both sides of the equation by 2, we find that x = 14. Substituting this value back into the second equation, we find that 14 + y = 60. Solving for y, we get y = 46.
Therefore, there are 14 dogs and 46 chickens on your uncle's farm.
Find the area. a trapezoid with the top part 10.5 the inside side is 7 and the bottom is 34.5 a. 241.5 mm2 c. 157.5 mm2 b. 159.5 mm2 d. 315 mm2
TRIANGLE GEOMETRY PLEASE HELP
simpliy completely 4m^3/3m^2n * 9n^2/30m^2n^2
2n / 3 m
2 m / 5 n
2 / 3 m n
2 5 m n
Daniel puts $80,000 in an account that earns .6% interest compounded annually how much interest does he earn after 15 years
Daniel can earn $7510 interest he get after 15 years of investment.
What is compound interest?Compound interest is the addition of interest to the principal sum of a loan or deposit, or in other words, interest on principal plus interest.
Here, principal = $80,000
Time = 15 years
Rate of Interest = 0.6% compounded annually
We know that,
[tex]A = P(1+i)^n[/tex]
[tex]A = 80000(1 + 0.006)^{15}[/tex]
[tex]A = 80000 X 1.006^{15}[/tex]
A = 80000 X 1.094
A = 87,510.41
Interest = Amount - Principal
= 87510 - 80000
= $ 7,510
Thus, Daniel can earn $7510 interest he get after 15 years of investment.
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Consider △DFE. What are the inputs or outputs of the following trigonometric ratios? Express the ratios in simplest terms.
sin(?) = 4/5
cos(F) = ?
tan(D) = ?
Answer:
Sin(F)=4/5
Cos(F)=3/5
Tan(D)=3/4
Step-by-step explanation:
Please answer!!! 1st one to answer with work and accurate answers will be brainliest for 30 points!!!!!!!!!!!!
Russel throws a soda from the balcony of his house to his friend Jones in the pool. If the soda is released 20 feet from the ground, and is thrown with a downward velocity of 2 ft/s, how long till the soda hits the pool, ignoring air resitance? Use the formula , where h is the height of the soda in feet and t is the time in seconds since Russel threw it. Round your answer to the nearest tenth.
A.
0.5 seconds
B.
0.8 seconds
C.
1.1 second
D.
1.6 seconds
Answer:
C. 1.1 seconds
Step-by-step explanation:
The formula to use is :
[tex]h=ut+\frac{1}{2}at^{2}[/tex]
Where: h is the height of 20 ft, u is the velocity of 2ft/s and a is the gravitational acceleration of 9.8m/s². The acceleration should be converted to ft/sec² to simplify calculations. The value is then 32.15ft/sec².
Substituting these values into the equation:
[tex]20=2t+0.5*32.15t^{2} \\20=2t+16.075t^{2} \\0=16.075t^{2}+2t-20[/tex]
Using the quadratic formula, t can be solved.
a = 16.075, b = 2, c = -20:
[tex]t=\frac{-b+-\sqrt{b^{2}-4ac} }{2a} \\t=\frac{-2+-\sqrt{2^{2}-4(16.075)(-20)} }{2(16.075)}\\t=\frac{-2+-35.92}{32.15}\\t=1.055 \\OR\\t=-1.179[/tex]
The answer cannot be negative, therefore the answer is t = 1.055 ≈ 1.1seconds
Bryan's puppy has been gaining weight for the last year. The graph shows data about the puppy's weight over time.
Answer:
Option 2. 25 pounds
Step-by-step explanation:
As per graph weight gain of Bryan's puppy is represented by a linear function which is a straight line.
Therefore equation of the line will be y = mx + c
to calculate the value of m we will take two points (endpoints) on the line (0, 0) and (50, 6)
So m = (50-0)/(6-0) = 50/6 = 8.33
since this passes through (0, 0) so c = 0
Equation will be y = 8.33x
Now we have to get the value of y (weigh of puppy) at x = 3.
y = 8.33×3 = 24.99 ≈ 25 lb.
Option 2 is the answer.
write the number in scientific notation
0.0000024
please help
Fill in the table, then graph f(x)=-2x-4
Brianna bought an assortment of 16 apples. A medium-sized apple weighs around 5.2 ounces. Which response gives the best estimate for the cost of the apples?
Answer:
$7.00
Step-by-step explanation:
16 apples ⋅ 5.2 ounces1 apple ⋅ 1 pound16 ounces ⋅ $1.291 pound ≈ $7.00
If a cylinder has a surface area of 59 square inches and its radius
is 2.1 inches, how tall is the cylinder in inches?
Round to the nearest tenth.
Answer:
5.8
Step-by-step explanation:
WILL GIVE A BRAINLEST
What is the value of [-1.1]
–2
–1
0
1
Final answer:
If the brackets in the expression “[-1.1]” are interpreted as the floor function, the value is “-2”, because the floor function always rounds a number down to the closest lesser whole number.
Explanation:
The question appears to be asking for the value of the mathematical expression “[-1.1]”. However, the notation is a bit unclear. If the brackets denote the floor function, which rounds a number down to the nearest whole number, then the value of “[-1.1]” is indeed “-2” because -1.1 is rounded down to -2.
The floor function basically chops off all decimal points and moves a number to the next lower integer if it's not already an integer. Hence, the correct answer based on the interpretation of the floor function is “-2”.
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Answer: I think its 5/9
Step-by-step explanation:
What is the quotient of 22,389 and 13?
Answer:1,722 R3
Step-by-step explanation:
Explain how employee benefits affect total employment compensation
Employee benefits, such as health insurance and retirement plans, add value to the total compensation received by workers. They account for about one-quarter of average hourly compensation, contributing to the overall attractiveness of the compensation package and promoting employee well-being and job satisfaction.
Explanation:Employee benefits affect total employment compensation by adding to the overall value of the compensation package. They provide additional forms of remuneration beyond wages and salaries, such as health insurance, retirement plans, employer payments to Social Security, unemployment and worker's compensation insurance, and other benefits like Medicare.
These benefits contribute to the total compensation received by workers, accounting for about one-quarter of the average hourly compensation. So, for example, if a worker's wages are $20 per hour, the total compensation per hour might be around $26 when considering the value of benefits.
By providing employee benefits, employers aim to attract and retain talented employees, promote employee well-being, and enhance job satisfaction and productivity. These benefits play a crucial role in improving the overall compensation package and incentivizing employees to stay with the company.
Final answer:
Employee benefits, such as health insurance and retirement plans, greatly impact total employment compensation. These benefits, in addition to wages and salaries, make up the overall compensation received by workers.
Explanation:
Employee benefits have a significant impact on total employment compensation. These benefits include things like health insurance, retirement plans, employer payments to Social Security, and unemployment and worker's compensation insurance. When these benefits are added to wages and salaries, they make up the total compensation received by workers.
For example, if a worker's hourly wage is $20 and they receive $5 per hour in benefits, their total compensation per hour is $25. This means that employee benefits increase the overall value of compensation that workers receive.
Employee benefits are important for attracting and retaining employees, as well as promoting employee well-being and job satisfaction. They can also have an impact on the cost of labor for employers, as they must budget for these benefits in addition to wages and salaries.
Write true or false. The figure has rotational symmetry