Answer:
Abcd is a kite. Find the value of X
X+20
X+10
Step-by-step explanation:
Keegan is determining whether the triangle with vertices L(-1, 3), M(5, 5) and N(7, -1) is a right triangle. Keegan finds the slopes as shown and concludes that the triangle is not a right triangle because the product is not -1. What is his error and what should he do to correct it?
(added an image)
will mark brainiliest
Keegan's error is assuming that the product of the slopes of any two sides of a triangle should be -1 for the triangle to be a right triangle.
To determine if the triangle LMN is a right triangle, Keegan should instead calculate the lengths of the three sides of the triangle and check if they satisfy the Pythagorean theorem.
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.
To correct his approach, Keegan should calculate the lengths of sides LM, MN, and NL using the coordinates of the vertices and then check if the Pythagorean theorem holds true.
If the squared length of one side is equal to the sum of the squares of the other two sides, then the triangle LMN is a right triangle.
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\(2(\frac{1}{2} ) / 3(\frac{3}{5} )\)
Sabas Company has 40,000 shares of $100 par, 1% preferred stock and 100,000 shares of $50 par common stock issued and outstanding. The following amounts were distributed as dividends: Year 1: $50,000 Year 2: 90,000 Year 3: 130,000 Determine the dividends per share for preferred and common stock for each year. If an answer is zero, enter '0'. Round all answers to two decimal places.
The dividends per share for preferred stock for each year are: Year 1 - $1.25, Year 2 - $2.25, Year 3 - $3.25. The dividends per share for common stock for each year are all $0.
To determine the dividends per share for preferred and common stock for each year, we need to divide the total dividends by the number of shares for each type of stock.
Preferred Stock:
Dividends per share of preferred stock = Total dividends for preferred stock / Number of preferred shares
Year 1:
Dividends per share of preferred stock for Year 1 = $50,000 / 40,000 shares = $1.25
Year 2:
Dividends per share of preferred stock for Year 2 = $90,000 / 40,000 shares = $2.25
Year 3:
Dividends per share of preferred stock for Year 3 = $130,000 / 40,000 shares = $3.25
Common Stock:
Dividends per share of common stock = Total dividends for common stock / Number of common shares
Year 1:
Dividends per share of common stock for Year 1 = ($50,000 - Total dividends for preferred stock) / 100,000 shares = ($50,000 - $50,000) / 100,000 shares = $0
Year 2:
Dividends per share of common stock for Year 2 = ($90,000 - Total dividends for preferred stock) / 100,000 shares = ($90,000 - $90,000) / 100,000 shares = $0
Year 3:
Dividends per share of common stock for Year 3 = ($130,000 - Total dividends for preferred stock) / 100,000 shares = ($130,000 - $130,000) / 100,000 shares = $0
The dividends per share for preferred stock for each year are: Year 1 - $1.25, Year 2 - $2.25, Year 3 - $3.25. The dividends per share for common stock for each year are all $0.
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All of the license plates in a particular state feature three letters followed by three digits (e.g. ABC 123). How many different license plate numbers are available to the state's Department of Motor Vehicles?
Step-by-step explanation:
for each letter position there are 26 choices.
and each of these 26 choices can be combined with the next 26 choices.
so, they alone are 26×26×26 = 26³ = 17,576
then we have the three number positions.
each has 10 options.
so, they are 10×10×10 = 10³ = 1000
and both combined are
26³×10³ = 17,576,000 different number plates
The number of different license plate numbers are available to the state's Department of Motor Vehicles is 17,575,000.
What is fundamental counting principle?The fundamental counting principle or basic principle of counting is a method or a rule used to calculate the total number of outcomes when two or more events are occurring together.
This principle states that the total number of outcomes of two or more independent events is the product of the number of outcomes of each individual event.
For each letter position there are 26 choices, and each of these 26 choices can be combined with the next 26 choices.
so, they alone are 26×26×26 = 26³ = 17,576
then we have the three number positions, each has 10 options.
so, they are 10×10×10 = 10³ = 1000
and both combined are;
26³×10³ = 17,576,000 different number plates.
Hence the number of different license plate numbers are available to the state's Department of Motor Vehicles is 17,575,000.
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A sprinkler set in the middle of a lawn sprays in a circular pattern. The area of the lawn that gets sprayed by the sprinkler can be described by the equation (x+7)2+(y−2)2=225
.
What is the greatest distance, in feet, that a person could be from the sprinkler and get sprayed by it?
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
Donna and her husband are each starting a saving plan. Donna will initially set aside S50 and then add $20.55 every week to the savings. The amount A (in
dollars) saved this way is given by the function = 50+20.55N, where N is the number of weeks she has been saving.
Her husband will not set an initial amount aside but will add $80.55 to the savings every week. The amount B (in dollars) saved using this plan is given by the
function B=80.55 N.
Let T be total amount (in dollars) saved using both plans combined. Write an equation relating T to N. Simplify your answer as much as possible.
The total amount (in dollars) saved using both plans combined is T = 50 + 101.1N.
How to illustrate the equation?Based on the information, the function = 50+20.55N.
where N is the number of weeks she has been saving.
For the second function, this is illustrated as:
function B = 80.55 N.
Therefore, the total of the plans combined will be:
T = 50 + 20.55N + 80.55N
T = 50 + 101.1N
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Hakim has 4 pieces of square-shaped paper.
The length of each piece of paper is 10 cm.
He arranged them to form a bigger square.
What is its area?
Discuss with your classmate how you got your answer
Are your methods the same?
Answer:
400cm^2
Step-by-step explanation:
As Hakim has 4 pieces of square shaped papers each of length 10cm then for 1 paper=10cm and for area of 1 paper=10×10cm=100cm^2. and for 4 papers 100cm^2 × 4= 400cm^2.
Thus the total area of the big paper is =400cm^2.
shows that the points (2,1), (6,2), (5,6), and (1,5) are the vertices of a square. Then obtain the perimeter and area of that square. (remember that a square is defined by having its four equal sides) I need help please?
Answer:
The perimeter of this square will be 32 and the Area will be 64
Step-by-step explanation:
I posted a picture of how I got this
Hope this Helped
A fishing boat is traveling 25 miles per hour in the direction on S 65 W. If it hits a current traveling at 6 miles per hour in the N 15 W direction. Find the resultant magnitude and direction of the boat.
Let's draw the scenario:
To be able to get the resultant magnitude, let's add the x and y components of the current and the boat.
Step 1: Let's break down the x and y components of the direction of the boat.
Boat: 25 miles/hr. S 65 W
x-component = 25sin(65°) = 22.66 West = -22.66 to represent that it is in the West Direction.
y-component = 25cos(65°) = 10.57 South = -10.57 to represent that it's in Downward Direction.
Current: 6 miles/hour N 15 W
x-component = 6sin(15°) = 1.55 West = -1.55 to represent that it is in the West Direction.
y-component = 6cos(15°) = 5.80 North = 5.80 to represent that it's in Upwad Direction.
Let's now add each x and y component.
Resultant x-component = -22.66 + -1.55 = -24.21 = 24.21 miles/hr. West
Resultant y-component = 5.80 - 22.66 = -16.86 = 16.86 miles/hr. South
Therefore the Resultant is equal to:
\(\text{ R = }\sqrt[]{24.21^2+16.86^2}\)\(R\text{ = 24.21 miles/hour}\)Let's determine the angle at S-W:
\(\theta=\tan ^{-1}(\frac{16.86}{24.21})\)\(\theta=34.85^{\circ}\)Therefore, the resultant magnitude and direction of the boat is,
\(24.21\text{ miles/hour at S 34.85 W}\)
You have made a profit of $32 per share on a stock. Given, you sold 2,000 shares of the stock, how much profit did you make?
Answer:
$64,000
Step-by-step explanation:
Number of shares times the profit per share equals total profit.
2000 * 32 = 64,000
4
A TV that usually sells for $167.77 is on sale for 15% off. If sales tax on the TV is 6%, what is the price of the TV, including tax?
OA. $201.49
OB. $152.59
OC. $151.16
OD.
$149.73
The price including tax is $151.16
What is tax?
A tax is a mandatory financial charge or other type of levy imposed by a governmental organization on a taxpayer (an individual or legal entity) in order to fund government spending and various public expenditures (regional, local, or national), and tax compliance refers to policy actions and individual behavior aimed at ensuring that taxpayers pay the correct amount of tax at the correct time and receive the correct tax allowances and tax reliefs. The earliest known taxes occurred in Ancient Egypt between 3000 and 2800 BC. Failure to pay on time (non-compliance), as well as avoidance or resistance to taxation, is illegal and punished by law. Taxes can be paid in cash or in labor equivalents and can be direct or indirect.
Selling price of TV = $167.77x0.85 (15% discount)
= $142.6025
Price of TV (including tax) = $142.6025x1.06 (6% tax)
= $151.16
Hence, the price including tax is option (c) $151.16
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I will mark you brainiest!
What is the length of LJ?
A) 23.0
B) 17.0
C) 4.7
D) 3.5
The the length of LJ is approximately 3.5.OptionD) is correct.
How to find the length of LJ?To find the length of LJ, we can use the Law of Sines, which states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is the same for all sides of the triangle.
Let's denote the length of JL as x. Then, we can set up the following proportion:
sin(23°) / LJ = sin(89°) / KL
where KL is given as 9.
We can simplify this proportion by using the fact that sin(89°) = cos(1°) (since the sine of the complement of an angle is equal to the cosine of the angle), and by using a calculator to find the values of sin(23°) and cos(1°):
0.3919 / LJ = 0.0175 / 9
Multiplying both sides by x and then dividing both sides by 0.0175, we get:
LJ = 0.3919*9/ 0.0175
x ≈ 3.5
Therefore, the length of LJ is approximately 3.5.OptionD) is correct.
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When plotting points on the coordinate plane below, which point would lie on the y-axis? A coordinate plane. (0, 1) (7, 0) (6, 8) (8, 2)
Answer:
Numbers 1,0,8,2 would lie on y-axis.
Step-by-step explanation:
This is because for example, (0,1)
we must prefer 0 as x-axis and 1 as y-axis. That's means left number or side will always be x-axis and right side will always be y-axis.
Answer: (0, 1)
Step-by-step explanation:
When the x is 0 is lies on the y axis.
Calculate the value of the expression:1+1x100+2
In order to calculate the value of this expression, first we need to calculate the multiplication between 1 and 100. Then, w
I’m having problems with my homework
is this linear or not?
Answer:
Linear
Step-by-step explanation:
Answer:
NoStep-by-step explanation:
You have the system with two quadratic equations.
Both equations are of degree two.
This is therefore not linear.
can someone help me ASAP??? 49 POINTS!!!!!!!!!
John has 600 marbles and he is giving to his friends. he gives 1/5 of them to bob, 8% to pat, and 75 to matt. How many marbles does John have left?
Answer:
John has 357 marbles left.
Step-by-step explanation:
120 marbles went to Bob
48 went to Pat
and 75 to Matt.
yooooo whats 6x3 i don't know but i'm in 7th grade
You learn multiplication in 3rd grade but ok buddy, kinda sad you are doing algebra not knowing that 6x3=18
Answer:
18 lollllllllllllllllllllllllllll
What is the answer to this? Is it d?
Answer:
Step-by-step explanation:
yeah of course..your answer is true.. it's part d and there is no solution for that system...w and v both of them remove in solution of system and we don't have any unknown variable for solving.
9514 1404 393
Answer:
D. no solutions
Step-by-step explanation:
The first equation can be simplified to standard form:
0.5(8w +2v) = 3
4w +v = 3 . . . . . . . eliminate parentheses
__
The second equation can also be simplified to a comparable standard form:
8w = 2 -v +4w
4w +v = 2 . . . . . . add v -4w
__
Comparing these two equations, we find the variable expressions to be the same, but the constants to be different. If any set of variable values were to satisfy one of these equations, it could not satisfy the other equation. There are no solutions to the system.
Help me please help ASAP help me ASAP please please help ASAP
Answer:
P = 10π + 30 ≈ 61.4
Step-by-step explanation:
Perimeter = s1 + s2 + s3 + s4
= πd/2 + 15 + πd/2 + 15 = 2 (5π + 15) = 10π + 30 ≈ 61.4
Cold Beans wants to make a blend of their two best coffees, Guatemalan and Jamaican coffee. The pound of Guatemalan Coffee costs $11/lb and the other one costs $5/lb. If they want the cost of a 6 pound bag of blend to be $8/lb, how much Guatemalan coffee should they use per pound of the blend?
For each pound of the blend, Cold Beans should use 3 pounds of Guatemalan coffee.
This means that in a 6-pound bag of the blend, they would use \(3 \times 6 = 18\)pounds of Guatemalan coffee.
Let's assume that x pounds of Guatemalan coffee are used per pound of the blend.
Given information:
Cost of Guatemalan coffee = $11/lb
Cost of the other coffee = $5/lb
Desired cost of the blend = $8/lb
Total weight of the blend = 6 pounds
To find the ratio of Guatemalan coffee to the total blend, we can set up the equation:
\((x \times 11 + (6 - x) \times 5) / 6 = 8\)
In this equation, \((x \times 11)\) represents the cost of the Guatemalan coffee in the blend, and\(((6 - x) \times 5)\) represents the cost of the other coffee in the blend.
The numerator is the total cost of the blend, and we divide it by 6 (the total weight of the blend) to find the cost per pound.
Now, let's solve the equation for x:
(11x + 30 - 5x) / 6 = 8
6x + 30 = 48
6x = 48 - 30
6x = 18
x = 18/6
x = 3
Therefore, for each pound of the blend, Cold Beans should use 3 pounds of Guatemalan coffee.
This means that in a 6-pound bag of the blend, they would use \(3 \times 6 = 18\)pounds of Guatemalan coffee.
To summarize, to achieve a cost of $8 per pound for a 6-pound bag of blend, Cold Beans should use 3 pounds of Guatemalan coffee per pound of the blend.
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PLEASE HELP ASAP!!! Evaluate!!!
Answer:
-5 I think
Step-by-step explanation:
Answer: -5
Step-by-step explanation:
1. Since f(-1) is -1, substitute it into the x's of the equation. The question would now be 4(-1)^2+5(-1)-4.
2. Solve and it would be -5
Which of the following polynomials is in standard form?
A. F(x)=-3x+6x²-1+7x
B. F(x)=7x+6x² -1-3x4
C. F(x)=-3x4 -1+6x² +7x
D. F(x)=-3x +6x² +7x-1
Answer:
d
Step-by-step explanation:
find the inverse of f(x)= x-3/2
i dont understand this
Answer:
the correct answer is shown below
Step-by-step explanation:
hope this helps
Use the two given functions to write y as a function of x.
y = -3a + 3, a = -5x + 1
Answer:
Step-by-step explanation:
To write y as a function of x using the given functions, we can substitute the value of "a" in the first equation with the expression "-5x + 1" from the second equation.
Given:
y = -3a + 3
a = -5x + 1
Substituting the value of "a" in the first equation:
y = -3(-5x + 1) + 3
Now, let's simplify this expression:
y = 15x - 3 + 3
y = 15x
Therefore, y can be expressed as a function of x as:
y = 15x
How much would $600 invested at 8% interest compounded continuously be worth after 3 years. round your answer to the nearest cent. A(t) = P×e^ rt
The amount $600 would be after 3 years at 8% interest compounded continuously is $755.83
How to calculate compound interest?Compound interest are amount of money added on amiunt invested.
Given the following parameters
P = $600
r = 8% = 0.08
t = 3 years
Using the compound interest formula
A(t) = Ao(1+r)^t
A(t) = 600(1.08)^3
A(3) = $755.83
Hence the $600 would amount to after 3 years at 8% interest compounded continuously is $755.83
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Rosemary works two part-time jobs while attending college. During the day she works at the college bookstore and earns $8.25 per hour. In the evening she delivers pizza for Papa Gino's, earning $9.25 per hour. If Rosemary earned $247 last week from working a total of 28 hours, find how many hours she worked at Papa Gino's last week.
Answer: 16 hours
Step-by-step explanation:
We will write a system of equations to help us solve. Let x be equal to the number of hours worked at the college bookstore, and y be equal to the number of hours worked at Papa Gino's.
First, we will write an equation for the money earned. Then, we will write one for the hours worked.
8.25x + 9.25y = 247
x + y = 28
Now, we will will substitute the second equation into the first and solve for the hours worked at Papa Gino's last week, equal to y.
x + y = 28 ➜ x = -y + 28
8.25x + 9.25y = 247
8.25(-y + 28) + 9.25y = 247
-8.25y + 231 + 9.25y = 247
y + 231 = 247
y = 16
Rosemary worked 16 hours at Papa Gino's last week.
Find the perimeter of each rectangle. 25 mi 11 mi. a.275 mi b.36 mi c.61 mi d.72
Find the perimeter of each rectangle. 25 mi 11 mi. a.275 mi b.36 mi c.61 mi d.72
we have that
the perimeter of a rectangle is equal to
P=2(L+W)
we have
L=25 mi
W=11 mi
substitute
P=2(25+11)
P=2(36)
P=72 mi
therefore
answer is
option DWrite an equation for the line that passes through the points (0,6) and (3,0).
y=-23-6
y=-22-3
y=- 4-6
y=-22-3
Answer:
y=-2x+6
Step-by-step explanation:
Luke's family goes to the movies and purchase a large popcorn. They are are debating whether or not to purchase any drinks.The table below shows how much they'll spend based on the number of drinks they decide to purchase
Answer:
where is the picture to show ????
Answer:
x=9/4
Step-by-step explanation: