Answers
Answer:
x = 140
Step-by-step explanation:
the sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
here n = 6 , then
sum = 180° × (6 - 2) = 180° × 4 = 720°
sum the 6 interior angles and equate to 720
x + 90 + 104 + 123 + 155 + 108 = 720
x + 580 = 720 ( subtract 580 from both sides )
x = 140
Related Questions
A spinner with repeated colors numbered from 1 to 8 is shown. Sections 1 and 8 are purple. Sections 2 and 3 are yellow. Sections 4, 5, and 6 are blue. Section 7 is orange.
Which statement about probability is true?
The probability of landing on orange is greater than the probability of landing on purple.
The probability of landing on yellow is less than the probability of landing on blue.
The probability of landing on orange is equal to the probability of landing on yellow.
The probability of landing on purple is equal to the probability of landing on blue.
Answers
The statement about probability that is correct would be that the probability of landing on yellow is less than the probability of landing on blue. That is option B.
What is probability?Probability is defined as the total number of possible outcome of an event.
The repeated colour which are numbered from 1 to 8 are as follows:
Sections 1 and 8 are purple. The probability of getting a purple = 2/8 = 1/4Sections 2 and 3 are yellow. The probability of getting a yellow = 2/8 = 1/4 Sections 4, 5, and 6 are blue. The probability of getting a blue = 3/8Section 7 is orange. The probability of getting a orange = 1/8.Therefore, the probability of landing on yellow is less than the probability of landing on blue because 1/4 is less than 3/8.
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Answer: B: The probability of landing on yellow is less than the probability of landing on blue.
Step-by-step explanation:
If Danah wants the area of a rectangle or strawberry patch, to be exactly one square yard, and the length of the strawberry patch, be greater than 1 yard explain
Answers
yes the length of the strawberry patch can be greater than 1 yard.
What is a rectangle?A rectangle is a quadrilateral with four sides and four right angles.
Given that Danah wants the area of her rectangular strawberry patch to be exactly 1 square yard.
We have to find out whether the length of the rectangular strawberry patch can have a value greater than 1.
Area of a rectangle = Length x Width.
The area of the rectangular strawberry patch is exactly 1 square yard.
Area = 1 square yard
Length x Width = 1 square yard
To have the area of the rectangular strawberry patch be exactly 1 square yard.
We can have the following cases :
Case 1.
Length = 2 and Width = 0.5
Area = Length x Width = 2 x 0.5 = 1 square yard.
Case 2.
Length = 4 and width = 0.25
Area = Length x Width = 4 x 0.25 = 1 square yard.
Case 3.
Length = 8 and width = 0.125
Area = Length x Width = 8 x 0.125 = 1 square yard.
Case 4.
Length = 10 and width = 0.1
Area = Length x Width = 10 x 0.1 = 1 square yard.
We see that we can have the length as 2, 4, 8, and 20 in order to have an area of the rectangle as 1 square yard.
Hence, yes the length of the strawberry patch can be greater than 1 yard.
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OMGGG PLEASE IM BEGGING HELP
Answers
Answer:200 bucks
Step-by-step explanation:
This is because the point (1,4) is on the line.
Plugging x = 1 into y = 4x leads to y = 4.
Plugging x = 3 into that equation leads to y = 12; which explains why the point (3,12) is also on the line.
Please Help ASAP - 100pts + Brainliest!
Show all work
Answers
Answer: [ln((4xy^2)/((x^2y)^2))]
Written as: ㏑((4xy²)/(x²y)²)
Step-by-step explanation:
ln(4xy^2)-2ln(x^2*y)
ln(4xy^2)-ln((x^2*y)^2)
ln(4xy^2)+[ln((x^2*y)^2)]*-1
[ln((4xy^2)/((x^2y)^2))]
Answer:
see below
Step-by-step explanation:
Given expression to us is ,
[tex]\longrightarrow ln (4xy^2)- 2ln(x^2y)\\[/tex]
Using identity
[tex]x\ ln y = ln \ y^x [/tex][tex]\longrightarrow ln (4xy^2) + (-2)ln (x^2y)\\[/tex]
[tex]\longrightarrow ln (4xy^2) + ln (x^2y)^{-2}\\[/tex]
simplify,
[tex]\longrightarrow ln(4xy^2) + ln (x^{2(-2)} y^{-2})\\[/tex]
using identity,
[tex]a^{-m}= \dfrac{1}{m} [/tex][tex]\longrightarrow ln(4xy^2)+ ln\bigg( \dfrac{1}{x^4 y^2}\\ [/tex]
using identity ,
[tex] ln\ x + ln \ y = ln(xy) [/tex][tex]\longrightarrow ln\bigg( xy^2\times \dfrac{1}{x^4y^2}\bigg)\\ [/tex]
simplify,
[tex]\longrightarrow ln\bigg(\dfrac{2}{x^3}\bigg)\\[/tex]
[tex]\longrightarrow \boxed{ ln \ (2x^{-3})}[/tex]
and we are done!
3. Ato Liku purchases a house for Br. 250, 000. He makes a 20% down payment, with a balance amortized by a 30 year mortgage at an annual interest rate of 12% compounded monthly.
a) Determine the amount of the monthly mortgage payment.
b) What is the total amount of interest Ato Liku will pay over the life of the mortgage?
c) Determine the amount of the mortgage Ato Liku will have paid after 10 years?
Answers
a) The amount of the monthly mortgage payment is 843.86
b) The total amount of interest Ato Liku that will pay over the life of the mortgage is 104,000
c) The amount of the mortgage Ato Liku will have paid after 10 years is 101,263.20
How did we get the values?a) To determine the amount of the monthly mortgage payment, we need to use the formula for the monthly mortgage payment (also known as the loan payment formula):
M = P [ i(1 + i)^n ] / [ (1 + i)^n - 1]
where M is the monthly mortgage payment, P is the principal (the remaining balance after the down payment), i is the monthly interest rate (12%/12 = 1%), n is the number of payments (30 years x 12 months/year = 360 payments), and ^ denotes exponentiation.
P = 250,000 x (1-.20) = 200,000
n = 30 x 12 = 360
i = 0.12/12 = 0.01
M = 200,000 [ 0.01(1 + 0.01)^360 ] / [ (1 + 0.01)^360 - 1]
M = 843.86
b) To determine the total amount of interest Ato Liku will pay over the life of the mortgage, we can subtract the original loan amount (200,000) from the total amount of the payments over the life of the loan:
total interest = total payments - original loan amount
total payments = M x n = 843.86 x 360 = 304,000
total interest = 304,000 - 200,000 = 104,000
c) To determine the amount of the mortgage Ato Liku will have paid after 10 years, we need to multiply the monthly mortgage payment by the number of payments made after 10 years.
10 years x 12 months/year = 120 months
Mortgage paid after 10 years = 843.86 x 120 = 101,263.20
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One kilometer is about 0.62 miles about how many kilometers are in fifty miles
Answers
Answer:
31
Step-by-step explanation: 0.62*50=31
Answer:
I'd say about 31 Kilometers. (Sorry if I'm wrong!)
Which of the following pairs of functions are inverses of each other?
Answers
A pair of functions that are inverses of each other include the following: B. f(x) = 4x³ + 5 and g(x) = ∛[(x - 5)/4].
How to determine the required pair of functions?In order to determine the inverse of this function f(x) = -1 - 1/5x, we would interchange both the input value (x) and output value (y) as follows:
f(x) = y = ∛(x + 3) - 5
x = ∛(y + 3) - 5
x + 5 = ∛(y + 3)
Taking the cube of both sides of the function, we have:
(x + 5)³ = y + 3
g(x) = y = (x + 5)³ - 3 (Not an inverse of f(x)).
From the second answer option, we have the following:
f(x) = y = 4x³ + 5
x = 4y³ + 5
x - 5 = 4y³
Dividing both sides of the function by 4, we have the following:
y³ = (x - 5)/4
Taking the cube root of both sides of the function, we have:
g(x) = y = ∛[(x - 5)/4] (An inverse of f(x))
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solve for x
14.
21
x-3
27
x-1
Answers
Answer:
the person above is correct
Step-by-step explanation:
15x - 20xy as 5x(3-4xy)
Answers
The algebraic property used for the expansion of the algebraic expression is; Distributive Property.
How to use algebra properties?There are different algebra properties such as Associative property, Identity Property, Inverse property, Distributive property, commutative property.
The examples of these algebra properties are;
1) Associative Property; a + ( b + c ) = ( a + b ) + c
a( b c ) = ( a b ) c
2) Commutative property; a + b = b + a
3) Identity Property;
a + 0 = a and a ⋅ 1 = a
4) Inverse Property;
a + ( − a ) = 0 and a ⋅ 1 a = 1
5) Distributive Property;
a ( b + c ) = a b + a c
We are given the expression;
15x - 20xy as 5x(3 - 4xy)
From the earlier properties explained, this is clearly an example of distributive property.
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What is the height and perimeter of the right triangle round to the nearest tenth.
Answers
The perimeter of the triangle is 40.42 cm
The height of the triangle is 14 cm
What is Pythagoras theorem ?A right triangle's three sides are related in Euclidean geometry by the Pythagorean theorem, also known as Pythagoras' theorem. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.
The relationship between the three sides of a right-angled triangle is explained by the Pythagoras theorem, commonly known as the Pythagorean theorem. The Pythagoras theorem states that the square of a triangle's hypotenuse is equal to the sum of its other two sides' squares.
The length of the base is 9.5 cm
The total area of the triangle is 66.5 cm²
We know,
Area = (1/2)*base * height
⇒ 66.5 = (1/2)*9.5* h
⇒h = 14 cm
The height is 14 cm
By using Pythagoras theorem
hypotenuse = √{(base)² + (height)²} = √{(9.5)² + (14)²} = 16.92 cm
The hypotenuse is 16.92 cm
The perimeter of the triangle is height + base + hypotenuse = 14 + 9.5 + 16.92 = 40.42 cm
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You are choosing between two health clubs. Club A offers membership for a fee of $25 plus a monthly fee of $20. Club B offers membership for a fee of $13 plus a monthly fee of
$23.
After how many months will the total cost of each health club be the same?
What will be the total cost for each club?
Answers
Using the concept of solving equation, (a) after four months, the total cost would be the same and (b) total cost for each club A and B are: 105.
What is an equation?Equations simultaneously, or a system of equations Multiple equations in algebra must be solved simultaneously. There must be an equal number of equations and unknowns for a system to have a singular solution. When two or more equations use the same variables, they are said to be in a system of equations. Graphing, substitution, and elimination are the three techniques used to solve systems of equations.
Let, x be the number of months of membership
y be the total cost
Club A : y = 20x + 25 ......... (i)
Club B : y = 23x + 13 ........... (ii)
Because we know that the prices, y would be equal, we can set the two equations equal to each other.
20x + 25 = 23x + 13
or, 3x = 12
or, x = 4
So, after four months, the total cost would be the same.
Total cost for each club A and B are: 105.
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The amount of money m earned if t raffle tickets are sold
Answers
The independent variable is the cause of change of dependent variable.
What is Algebraic expression?
Algebraic expressions are the concept of expressing numbers using letters or alphabets with out specifying their actual values. The basics of algebra taught us a way to explicit an unknown fee using letters which includes x, y, z, etc. those letters are referred to as here as variables. An algebraic expression may be a aggregate of both variables and constants. Any cost that is located earlier than and improved by way of a variable is a coefficient.
Given ,
To identify the given independent variable,
that is the amount of money , m , earned if t raffle tickets are sold.
So,
The more t , the more m .
that means if t increases , m increases
and if t decreases , m decreases.
and here t causes m increases.
Hence, The independent variable is the cause of change of dependent variable.
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To get to the beach for vacation, Cheng's family must drive at least 660 miles on the first day. They are traveling at a constant speed of 60 miles per hour.
a. Write an inequality to represent how long the family should drive on the first day.
b. How many hours should the family drive?
PLS HELP ME IMMEDIATLY!!!!! I NEED HELP ASAP
Answers
a. An inequality to represent how long the family should drive on the first day :
n ≥ 11.
b. the family should drive 11 hours.
What is an inequality?In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other. To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.
Given:
To get to the beach for vacation,
Cheng's family must drive at least 660 miles on the first day.
They are traveling at a constant speed of 60 miles per hour.
The total time = 660 / 60 = 11 hours.
That means, the family should drive 11 hours.
An inequality to represent how long the family should drive on the first day :
n ≥ 11.
Therefore, inequality is n ≥ 11. And family should drive 11 hours.
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How do i get the compound inequality?
Answers
The naswer is X=<-5 Or X=-5,
A sentence having two inequality statements connected by the words "or" or "and" is referred to as a compound inequality.
What is Compound inequality?We look at the graphs of each inequality, identify the integers that correspond to either graph, then add all those numbers up to determine the compound inequality's solution. We frequently use the union symbol,, to represent the union of the solutions presented in the graphs when writing the solution in interval notation.
A sentence having two inequality statements connected by the words "or" or "and" is referred to as a compound inequality. The conjunction "and" denotes the simultaneous truth of both statements in the compound sentence. It is when the solution sets for the various statements cross over or intersect. The conjunction "or" means that the entire compound sentence is true as long as either of the two statements is true. It consists of the union or combination of the solution sets for the various statements. A conjunction is a compound inequality that contains the word "and." Even though "and" and "or" are considered to be conjunctions of speech, their meanings in mathematics are distinct from their grammatical counterparts.To exemplify the notion, consider how a disjunction is created when the conjunction (part of speech) "or" is employed in a compound inequality. Simply keep in mind that "con" stands for "with another" and "dis" for "one OR the other."To know more about Compound inequality refer to:
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The weight of a young panda is 125 lb. An adult panda’s weight is 60% heavier then a young panda weight. How heavy is the adult panda
Answers
Explanation: 0.6 x 125 = 75
75 + 125 = 200 lbs
The price of Stock A at 9 A.M. was 15.69$. Since then, the price has been increasing at the rate of 0.05$ each hour. At noon the price of Stock B was 16.19$. It begins to decrease at the rate of 0.11$ each hour. If the two rates continue, in how many hours will the prices of the two stocks be the same?
Answers
If the price of Stock A at 9 A.M. was 15.69$. The number of hours the prices of the two stocks be the same is: 3.125 hours.
How to find the number of hours?Stock A = 15.69 + 0.05h
Stock B = 16.19 - 0.11
So equate Stock A and Stock B
15.69 + 0.05h = 16.19h - 0.11h
Combine like terms
0.11h + 0.05h = 16.19 -15.69
0.16h = 0.5
Divide both side by 0.16h
h = 0.5/0.16
h = 3.125 hours
Therefore the number of hours the prices of the two stocks be the same is: 3.125 hours.
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If 5 pounds of pecans cost $41.75, how much would one pound of pecans cost? Round to the nearest cent.
Answers
Answer:
$8.35
Step-by-step explanation:
One pound of pecans would cost approximately $8.35, rounded to the nearest cent. To find this, divide the total cost by the number of pounds: $41.75 ÷ 5 pounds = $8.35 per pound.
Answer:
8.35
Step-by-step explanation:
divided 5 by 41.75. trust
Question 2: Leilamade a one-time investment of $12 000.00 in a
registered retirement savings plan (RRSP) at 2.65%, compounded
semi-annually. She plans to withdraw the money when she retires in 30
years.
a) Determine the value of the investment when she retires. Show your
work.
I
b) Calculate the rate of return [note:] over the 30 years. Show your work.
Answers
the value of the investment when she retires is $26434.92.
What is the compound interest?Compound interest is when you earn interest on both the money you've saved and the interest you earn.
Formula:
A = P(1 + {r}/{n})^{n.t}
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
here, we have,
given that,
Leilamade a one-time investment of $12 000.00 in a
registered retirement savings plan (RRSP) at 2.65%, compounded
semi-annually.
She plans to withdraw the money when she retires in 30
years.
So, she get finally is,
using the formula we get,
$26434.92
hence, the value of the investment when she retires is $26434.92.
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Use the diagonals to determine whether a parallelogram with vertices C(1,2)
, A(5,−1)
, T(2,−5)
, and S(−2,−2)
is a rectangle, a rhombus, or a square. Give all the names that apply.
Answers
need more info. add the question in but try the whole question.
Which number replaces the question mark? 5 4 7 12 6 6 7 ? 2 and explain the answer.
Answers
The number that replaces the question mark is 5.
What is number?Number is a mathematical object used to count, measure, and label. It is an abstract concept that can be represented by a symbol, such as a numeral or word. Numbers are used in various ways, including counting, measuring, and labeling. They can also be used to represent relationships between objects and ideas, and to measure the size, volume, and distance of objects.
This is because the pattern of the sequence is to add the two numbers that are next to each other together to get the next number. In the sequence, the two numbers that are next to the question mark are 6 and 7. When 6 and 7 are added together, the result is 13. Since 13 is greater than 12, the next number in the sequence must be 5.
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Directions: Draw a diagram, create an equation, and then solve for the desired measurement.
Kami is standing 12 feet from a rock-climbing wall. When she looks up to see her friend ascend the wall, the
angle of elevation is 56°. How high up the wall is her friend?
Answers
21.36 ft high up the wall is her friend.
What is equation?An equation is a mathematical statement that two expressions are equal. It usually consists of two expressions separated by an equals sign (=). An equation can be used to describe the relationship between two variables, such as the distance and time it takes for an object to travel. Equations can also be used to solve for unknown variables.
Draw a diagram:
12ft
|\
| \
| \
| \
| \
| \
| \
|_______\
56° Friend
Create an equation:
tan (56°) = h/12
Solve for h:
h = 12 * tan (56°)
h = 21.36 ft
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Divide.
(4x²+35x+44) / (x+7)
Answers
Answer:
[tex]4x+7-\frac{-5}{x+7}[/tex]
Step-by-step explanation:
divde:
[tex]\frac{4x^{2}+35x+44 }{(x+7)} simplify=4x+ \frac{7x+44}{x+7} \\divide: 4x+ \frac{7x+44}{x+7} \\ simplify= 7+\frac{-5}{x+7} \\\\answer: 4x+7\frac{-5}{x+7}[/tex]
A product of two whole numbers is 675 and their sum is 52. What are the two numbers?
Answers
27+25=52
27x25=675
Consider the equation below.
(2 + 4x) (x-3)
6
4
Answer options A through D present a
series of steps for solving this equation.
Identify the first step in which an error
occurs. If there is no error, choose
answer option E.
A
B
C
D
E
6(2 + 4x) = 4(x - 3)
12+24x = 4x - 12
20x = -24
6
5
No errors
x =
Answers
When a quadratic equation is graphed, a parabola is produced, whereas a linear equation results in a straight line.Consequently, (1, 3) and are the answers to the system of equations (-5, -3)
Find the answer of the equation ?In the following respects, quadratic equations differ from linear equations:When a quadratic equation is graphed, a parabola is produced, whereas a linear equation results in a straight line.In contrast to the slope of a linear polynomial, a quadratic polynomial's slope is dynamic.
(1, 3) and are the answers to the system of equations (-5, -3)
Considering the subsequent features
Y=x^2+5x-3
Y-x=2; y = x + 2
The result of equating both outputs is
x^2+5x-3 = x + 2
x^2+5x-3 - x - 2 = 0
x^2 + 4x - 5 = 0
Formulation factorization
x^2 + 5x - x - 5=0
x(x+5) - 1(x+5) = 0
(x-1)(x+5) = 0
x = 1 and -5
Remember that y=x+2
y = 3 and -3
Consequently, (1, 3) and are the answers to the system of equations (-5, -3)
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HELP PLEASE IHAVE A PICTURE
Answers
Answer:
Step-by-step explanation:
6
Answer:
17 gal.
Step-by-step explanation:
You can solve this using unitary method.
168 mi ---- 4 gal.
714 mi ---- 714 mi x 4 gal. /168 mi = 17 gal.
please help this is my third time posting i’m literally desperate i will mark you brainliest it won’t let mechoose anymore than 10 points i’m sorry please
Answers
All of your answers are correct so far.
4. Line L is y=-2x-3. Line M is y=-2/3x+1
5. The solution is x=-3, y=3
6. Point P represents the answer to the equations.
8. Inequalities:
Line L: y>-2x-3
Line M: y<-2/3x+1
9. -3, 3
20 points for solving!
Answers
Answer:
m = 5 and n = 6
Step-by-step explanation:
In a parallelogram, opposite sides of the figure are congruent (equal to each other).
This means that 3m - 7 = m + 3 and 2n + 12 = 4n
We can now solve for the variables
3m - 7 = m + 3
==> add 7 to both sides
3m = m + 10
==> subtract 2 from both sides
2m = 10
==> divide both sides by 2
m = 5
2n + 12 = 4n
==> subtract 2n from both sides
12 = 2n
==> divide both sides by 2
6 = n
Answer:
n=6,m=2
Step-by-step explanation:
4n=2n+12
2n =12
n=6
m+3=3m-1
4=2m
m=2
Two angles are complementary. The larger angle is 74∘ more than the smaller angle. Find the measure of the larger angle.
Answers
Answer:
16 degrees
Step-by-step explanation:
90-74=16. Because the whole is 90 degrees, So you subtract it from the 74 degrees and you get your answer
0.496 divided by 1.2
Answers
Answer:
0.413333333
Step-by-step explanation:
hope this helps
Answer:
0,39 because if you do 0.496÷1.2=0,3908333333 and If you round up is 0,39
Solve for x.
4x = -48
a X=4
b X=-4
c X=12
d X=-12
Answers
Answer: D (x=-12)
Step-by-step explanation:
divide 4 on both sides of the equation. -48/4=-12