Answers
9514 1404 393
Answer:
a) 60°
b) 60°
c) 70°
d) 90°
e) 40°
Step-by-step explanation:
The applicable relations are ...
the sum of arcs in a circle is 360°an inscribed angle is half the measure of the arc it intercepts.the exterior angle where secants meet is half the difference of the intercepted arcsthe interior angle where chords meet is half the sum of the intercepted arcsthe angle made by a tangent and a chord is a degenerate case of an inscribed angle, where the vertex is coincident with one end of the intercepted arc__
a) The sum of ratio units is 3+5+6+4 = 18, which corresponds to the sum of arcs around the circle: 360°. So, each ratio unit stands for 360°/18 = 20°. The arcs around the circle are ...
FA = 60°, FC = 100°, CB = 120°, BA = 80°
__
b) ∠BAC intercepts are CB, so is half its measure.
∠BAC = 60°
__
c) ∠AEC is the exterior angle where secants EA and EC intercept arcs FA and CBA. The difference of those arcs is (CBA -FA) = (200° -60°) = 140°.
∠AEC = 140°/2
∠AEC = 70°
__
d) Chords FB and AC intercept arcs FC = 100° and BA = 80°. The average of these measures is ...
∠FDC = (100° +80°)/2
∠FDC = 90°
__
e) ∠GAB is an "inscribed" angle that intercepts arc BA, so has half its measure.
∠GAB = 40°
_____
Comment on arc/angle naming
The arc asked for in part (a) has a name that the Brainly censor doesn't like. It seems OK with the reverse designation, so we have used FA here to refer to that arc.
Related Questions
jess has $22 and saves $5 each week rosie has $10 and saves $8 each week how many weeks till they have the same amount of money
Answers
Explanation:
Jess starts with $22 and saves $5 per week, Rosie has $10 and saves $8 per week.
In order to find an equal amount of money between the two girls is by finding a common denominator.
Jess- 22, 27, 32, 37, 42
Rosie- 10, 18, 26, 34, 42
Since we found that they can both end up with $42, after a certain amount of weeks have passed, now you’ll want to count how many numbers are in each row to find the amount of weeks it took to get to an equal amount
Dylan invested some money in his bank.
He agreed a simple interest rate of 3% per annum fo a period of 2 years.
At the end of the 2-year period the value of his investment increased by £72
Work out the value of Dylan's initial investment
Answers
The amount invested by Dylan will be £1200.
What is simple interest?Simple interest is the amount of borrowing-related interest that is calculated using only the original principal and a constant interest rate.
Given that Dylan invested some money in his bank. He agreed on a simple interest rate of 3% per annum for a period of 2 years. At the end of the 2-year period, the value of his investment increased by £72.
The amount of money invested will be calculated as,
SI = ( P x R x T ) / 100
72 = ( P x 3 x 2 ) / 100
7200 = 6P
P = 7200 / 6
P = £1200
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Para festeja su cumpleaños,Nancy compró 15 paquetes de pizzetas. Si cocinó 288 pizzetas, cuántos paquetes completos le quedaron?
Answers
Answer:
Nancy consumió 12 paquetes de pizzetas y le quedaron 3 paquetes completos.
Step-by-step explanation:
En primer lugar, debemos descomponer el número total de pizzas como una multiplicación de números primos. Al realizar la descomposición factorial tenemos que:
[tex]288 = 2 \times 2 \times 2 \times 2 \times 2 \times 3 \times 3[/tex]
Entonces, los familia de divisores de 288 es el siguiente conjunto:
[tex]D_{288} = \{2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144 \}[/tex]
Si tanto la cantidad de paquetes de pizzetas y la cantidad cocinada de pizzetas son números enteros y positivos, siendo la última mucho mayor. Entonces, la cantidad de pizzetas debe ser un número entero y la cantidad de paquetes gastados menor a la cantidad de paquetes comprados y el número entero más cercano a esa cantidad. Entonces, concluimos que Nancy se gastó 12 paquetes de pizzetas, quedándole 3 paquetes completos.
If an investment company pays 6% compounded continuesly, how much should you deposit now to have $10,000 5 years from now?
Answers
The amount of money should you deposit now to have $10,000 5 years from now is $7407.
What is compound interest?Theoretically, continuously compounded interest means that interest is continuously earned on an account balance as well as reinvested into the balance to increase future interest earnings.
Given that If an investment company pays 6% compounded continuously and $10,000 for 5 years.
The amount of money invested will be calculated by the formula below,
[tex]P = P_o(e)^{rt}\\10000 = P_o ( e)^{0.06\times5}\\[/tex]
P₀ = 10000 / 1.35
P₀ = 7407
The amount of money invested would be 7407.
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A family buys 5 airline tickets online. The family buys travel insurance that costs $16 per ticket. The total cost is $840. Let x represent the price of one ticket. Write an equation for the total cost. Then find the price of one ticket.
Answers
Travel insurance for 5 tickets = $16 * 5 = $80
If the price of 1 ticket = x
The price of 5 tickets = 5 * x = 5x
The total cost of tickets and insurance = $840
5x + 80 = 840
Subtract 80 from both sides
5x + 80 - 80 = 840 - 80
5x = 760
Divide both sides by 5
5x/5 = 760/5
x = 152
The price of 1 ticket is $152
Let’s check if x = 152 is a solution for 5x + 80 = 840
5(152) + 80 = 840
760 + 80 = 840
840 = 840
Type the correct answer in each box.
Table A: Inventory Stock
Product Store A Store B Store C
X 543 356 643
Y 364 476 419
Z 376 903 409
Table B: July Unit Sales
Product Store A Store B Store C
X 102 78 97
Y 98 87 59
Z 54 89 79
Table A shows the total inventory of three products for three Sports Equipment Corporation stores on July 1. Table B shows unit sales data for the month of July.
If you create a matrix, C, to show the inventory at the end of July, the value of the entry represented by c22 is
.
In a matrix with components aij, which represent unit sales for July, the maximum possible value that a31 can have is
Answers
The matrix C shows the inventory of the three products for the three Sports Equipment Corporation stores at the end of July. The value of the entry represented by c22 is 389, which is the value for Store B for Y in Table B.
Table C: Ending Inventory
Product Store A Store B Store C
X 441 278 546
Y 266 389 360
Z 322 814 330
The value of the entry represented by c22 is 389, which is the value for Store B for Y in Table B.
The maximum possible value that a31 can have is 903, which is the value for Store C for Z in Table A.
The value of the entry represented by c22 in the matrix C that shows the inventory at the end of July is 389, and the maximum possible value that a31 can have is 903.
The matrix C shows the inventory of the three products for the three Sports Equipment Corporation stores at the end of July. The value of the entry represented by c22 is 389, which is the value for Store B for Y in Table B. The maximum possible value that a31 can have is 903, which is the value for Store C for Z in Table A. This value indicates that the maximum number of units of Product Z that can be stored in Store C is 903. In summary, the value of c22 in the matrix C is 389, and the maximum value of a31 is 903.
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Robert is building a deck in his backyard. Each piece of wood measures 42.5 inches. If he has 8 boards, how long are they altogether?
Answers
The length of the wood altogether is 340 inches
How to calculate the length of the wood?Robert is building a deck
Each piece of the wood measures 42.5 inches
Robert has 8 boards
The length of the wood altogether is
= 42.5 × 8
= 340
Hence the length of the wood is 340 inches
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Marco ran 7 miles in 50.4 minutes. If he ran at the same pace the whole time, how long did it take him to run 1 mile?
Answers
Answer:
7.2 min
Step-by-step explanation:
50.4 / 7 = 7.2 min
Encuentra dos numeros tales que el doble del mayor menos la mitad del menor exceda en 15 unidades a la quinta parte de la suma de ambos
Answers
Respuesta:
12, 13
Explicación paso a paso:
Dejar,
Número más pequeño = x
Número mayor = x + 1
Expresarse matemáticamente;
2 (x + 1) - (x / 2) = ((x + 1 + x) / 5) + 15
2x + 2 - 0.5x = 0.2 (2x +1) + 15
1.5x + 2 = 0.4x + 0.2 + 15
1.5x - 0.4x = 0.2 + 15 - 2
1,1 veces = 13,2
x = 13,2 / 1,1
x = 12
x + 1 = 12 + 1 = 13
I need help, it’s for my final grade
Answers
HELP DUE IN 5 MINS!
Solve for x in the polygon below.
x=?? degrees
Answers
Answer:
135
Step-by-step explanation:
540-75-120-120-90=135
Answer:
x = 135
Step-by-step explanation:
Total sum of interior angles of a pentagon = 540
75 + 120 + 120 + 90 + x = 540
405 + x = 540
=> Subtract 405 on both sides of "="
x = 135
Hope this helps!
Evaluate the expression!!
Answers
The given expression is equivalent to 22 for x = 17 and y = 12.
What is expression?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context. Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is the expression as follows -
2x - y
For x = 17 and y = 12, we can evaluate the expression as -
2 x 17 - 12
34 - 12
22
Therefore, the given expression is equivalent to 22 for x = 17 and y = 12.
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The prime factorization of a number is 2³× 5² . What is the number?
A. 1,196
B. 60
C. 35
D.200
Answers
Explanation: simplify.
Answer:
D.
Step-by-step explanation:
What is a polynomial class 7?
Answers
The polynomial which has a degree of 7 can be known as a polynomial of class 7.
Polynomials are expressions containing of variables and constants. The variable having the highest power forms the degree of the polynomial.
The degree of a polynomial with one variable is known as the highest exponent power of that variable in the mentioned polynomial.
Finding the degree of a polynomial with more than one variable is a simple task , as adding the exponents of each variable in the supplied terms and then determining which term has the highest degree. That is the polynomial's degree.
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Whats the perimeter of this small parallelogram?
Answers
Answer:
Perimeter = 18 units
Step-by-step explanation:
one side = 4
other side² = 3² + 4² + 25
other side = √25 = 5
Perimeter = (2 x 4) + (2 x 5) = 18 units
Both Phoebe and Connor are trying to maximize their lifetime income. Each has a different plan on how to do this best:
Phoebe claims that she wants a career with no college or trade school requirements because she could save the money for retirement rather than spending it on education. She estimates her average yearly salary at $35,000 per year with no post-secondary education requirements.
Connor claims post-secondary education will help him get a career with a higher salary and more benefits that he can use in retirement, so the education costs will more than pay for themselves. Connor estimates paying $80,000 for his post-secondary education and an average yearly salary of $60,000 per year after he earns his college degree.
Which statement about their claims is correct?
A. Phoebe is correct because a college education is overly expensive and is almost a waste of money.
B. Phoebe is correct because she will not be spending tuition dollars on college while earning $140,000 during the four years it would take to earn an undergraduate degree. College graduates would never be able to make up that difference in earnings.
C. Connor is correct because it is likely that the increased income and better benefits he will earn throughout his career will outweigh the $80,000 and four years he invests in his college education.
D. Connor is correct because a person without a college degree will never be able to support himsel
Answers
Answer:
C. Connor is correct because it is likely that the increased income and better benefits he will earn throughout his career will outweigh the $80,000 and four years he invests in his college education.
Step-by-step explanation:
I did 100% on edge 2021
good luck! :)
Multiply.
(3x + 2)(x - 7)
Answers
Answer:
3x^2 - 19x - 14
Step-by-step explanation:
The first five terms of a sequence are shown. 4, 12, 36, 108, 324, ... What would be the 8th term in the sequence?
Answers
Answer:8748
Step-by-step explanation:
The pattern is multiplying the number by 3, 3x12=36. 36x3=108.
4, 12, 36, 108, 324, 972, 2916, 8748
Russel is doing an experiment for a science fair project. He fills a beaker with water three times. He puts 16.5 mililiters of water in each test tube. How many full test tubes can Russel fill with water? 1. Describe one way to estimate the solution to this problem. 2. Russel calculates correctly and says the answer to the problem is 36.36 test tubes. Is Russel's answer reasonable? Explain
Answers
The number of full test tubes Russel fill with water must be discrete number and not rational. 36 test tubes is the answer.
How to Know Cylinder Volume ?Volume of a cylinder can be known either by the use of formula (V = πr²h) or by measuring with the volume of a known liquid.
Given that Russel is doing an experiment for a science fair project. He fills a beaker with water three times. He puts 16.5 milliliters of water in each test tube. How many full test tubes can Russel fill with water?
1. Describe one way to estimate the solution to this problem.
By dividing the amount of milliliters of water in the baker by 16.5 ml
2. Russel calculates correctly and says the answer to the problem is 36.36 test tubes. Is Russel's answer reasonable?
No! The reason is based on the fact that the answer must be a whole number and not a decimal number since the question centered on number of full test tubes filled with water.
Therefore, the correct answer should be 36 test tubes.
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HELPPPPP ASAPPPPPP!!!!! PLZZZZZ!!!!
Answers
Answer
rotation around point b
Step-by-step explanation:
In the figure, what is the value of a?
a
35
48
21
Answers
50 points + brainliest PLS HELP ME ASAP. All I need is a right answer and a clear solution. Ty in advance! :)
(anyone who gives absurd answers will be reported right away)
Answers
Dimensions of the parallelogram are:
Base is b = 2 ft, Side is a = 5 ft, Height is h = 4 ft.Its perimeter is:
P = 2(2 + 5) = 2(7) = 14 ftIts area is:
A = bh = 2*4 = 8 ft²When the scale factor is 2Perimeter is 2 times greater:
P = 2*14 = 28 ftArea is 2*2 = 4 times greater:
A = 4*8 = 32 ft²When the scale factor is 3Perimeter is 3 times greater:
P = 3*14 = 42 ftArea is 3*3 = 9 times greater:
A = 9*8 = 72 ft²When the scale factor is 1/2Perimeter is 2 times smaller:
P = 14/2 = 7 ftArea is 2*2 = 4 times smaller:
A = 8/4 = 2 ft²if (1,-7) is in the solution area of the inequality y ≤ 1x + b, what is the smallest value of b possible?
Answers
Check your solution by first checking the end point , in the related equation. Pick a value greater than , such as 2, to check in the inequality. Solve for x. Divide both sides by 3 to isolate the variable.
Someone please answer?????
Answers
Answer:
y ≈±6.8556546
Step-by-step explanation:
y^2 = 47
Take the square root of each side
sqrt(y^2) = ±sqrt(47)
y ≈±6.8556546
Answer: y≈6.85565
Step-by-step explanation:
[tex]\sqrt{y}[/tex] =[tex]\sqrt{47}[/tex]
y≈6.85565
my smart people help me love yall! ^^
Answers
Answer:
x = 36
Step-by-step explanation:
180 - 126 = 54
90 + 54 + x = 180
144 + x = 180
180 - 144 = x
x = 36
Have a nice day!
1) You went to the supermarket to buy 10 bananas. Each banana weighed 50 grams. If the price for bananas was $6.50 per kilogram, how much would you have to pay?
I need the answers ASAP!
Answers
You went to the supermarket to buy 10 bananas. Each banana weighed 50 grams. If the price for bananas was $6.50 per kilogram, how much would you have to pay?
You do 10 x 50 = 500 / Your bananas weigh 500g
$6.50 halved is $3.25 / So $3.25 for 500g
So your answer is $3.25
Hope this helps! :)
What is the perimeter of a regular pentagon inscribed in a circle with radius 1 meter
Answers
Answer:
Step-by-step explanation:
The perimeter of a regular pentagon is equal to the sum of the lengths of its sides. The length of each side of a regular pentagon inscribed in a circle with radius 1 meter can be found using the formula: side length = 2 * radius * sin(180/number of sides).
For a regular pentagon, the number of sides is 5. Plugging this into the formula gives us:
side length = 2 * 1 * sin(180/5) = 2 * 1 * sin(36) = 2 * 0.587785 = 1.175570
So the perimeter of the regular pentagon is equal to 5 * 1.175570 = 5.877849 meters.
PLEASE HELP ASAP!! find the zeros of the function, will mark!
Answers
Answer:
The zeros are (0,0) and (4,0)
Step-by-step explanation:
Those are the 2 points of the parabola that are on the "x" axis
(Hope this helped! Please ask and questions about this in the comments) :D
A statistics class with 30 students has 10 males and 20 females. Suppose you choose 3 of the students in the class at random. Find the probability that all three are female
Answers
The probability that all three are female is 0.281
What is probability?Mathematical explanations of the likelihood that an event will occur or that a statement is true are referred to as probabilities. A number between 0 and 1 represents the likelihood of an event, with 0 generally denoting impossibility and 1 denoting certainty. How likely something is to occur is known as its probability. We can discuss the probabilities of various outcomes—how likely they are—when we aren't sure how a particular event will turn out. Statistics describes the examination of events subject to probability. The probability of anything occurring is known as probability. To determine probability, divide the total number of possible outcomes by the number of possible ways an event could occur.2030⋅1929⋅18282030⋅1929⋅1828 = 0.281
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What equation represents a linier function that is proportional
Answers
Answer:
d
Step-by-step explanation: