Only Square and Rhombus follows the given condition.
What are squares?
A square is a two-dimensional plane figure with four equal sides and all four angles are equal to 90 degrees. The properties of the rectangle are somewhat similar to a square, but the difference between the two is, a rectangle has only its opposite sides equal. Therefore, a rectangle is called a square only if all its four sides are of equal length.
The most important properties of a square are listed below:
All four interior angles are equal to 90°.All four sides of the square are congruent or equal to each other.The opposite sides of the square are parallel to each other.The diagonals of the square bisect each other at 90°.The two diagonals of the square are equal to each other.The square has 4 vertices and 4 sides.The diagonal of the square divides into two similar isosceles triangles.The length of diagonals is greater than the sides of the square.Area of square=(side)²
Perimeter of square=4*side
As we can see from given properties square follows given conditions
and for rhombus also all sides and angles are always equal.
Hence,
Only Square and Rhombus follows the given condition.
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Can someone help me find the value of y?
Answer:
y = 5
Step-by-step explanation:
The angle formed is a right angle which has a measure of 90 degrees. This means that the sum of the two angles is 90 degrees. Using this information we can set up an equation and solve for y
Set up equation
7y + 8 + 8y + 7 = 90
==> combine like terms
15y + 15 = 90
==> subtract 15 from both sides
15y = 75
==> divide both sides by 15
y = 5
Bill is considering a savings account which pays 2% interest compounded monthly. What is the effective annual yield? Enter your response as a percentage rounded to two decimal places and omit the percent sign (7.25% should be input as 7.25.)
Answer:
2.02
Step-by-step explanation:
2% annual rate
compound monthly so every month you get 2%/12 =0.167%
effectively in a year = 12 months you'll get
(1+0.167%)^12 = 2.02%
input 2.02
What is the value of the expression 7/6-(18+27)
[tex]-\frac{263}{6}[/tex] or [tex]-43.8333.[/tex]
Step-by-step explanation:1. Write the expression.[tex]\frac{7}{6} -(18+27)[/tex]
REMEMBER TO USE PEMDAS!2. Solve the parenthesis.[tex]\frac{7}{6} -(45)\\ \\\frac{7}{6} -45[/tex]
3. Find a common denominator between the numbers.This can be done by multiplying number 45 by the denominator of the fraction (6) and adding 6 as a denominator of 45.
[tex]\frac{45}{6}*6\\ \\ \frac{270}{6}[/tex]
4. Return to the original expression and rewrite.[tex]\frac{7}{6} -\frac{270}{6}[/tex]
5. Solve the subtraction of fractions.[tex]\frac{7-270}{6}=\\ \\-\frac{263}{6}[/tex]
Since the numerator of this fraction (263) is a prime number, the fraction cannot be further simplified and it's the final result.
What subjects/subcategories are learnt in MTH1W I'm taking the course with ilc and want to take better notes.
MTH1W is a grade 9 mathematics course that covers key mathematical concepts and problem-solving skills. Topics covered include algebraic expressions and equations, graphs of linear relationships, solving systems of linear equations, quadratic relationships, trigonometry, similar triangles and circles, Pythagorean theorem, distance formula, area and volume of geometric shapes, and statistics and probability. This course helps students build a strong foundation in algebra and geometry, and develop important problem-solving skills for future math courses. The sections on algebraic expressions, linear and quadratic relationships, and trigonometry provide students with the skills to manipulate mathematical expressions and solve real-world problems. The sections on geometry and statistics cover key concepts in these areas, providing students with a well-rounded understanding of mathematics.
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Use the diagram below to answer the questions about the Law of Cosines.
Based on the Law of Cosines; it was proven that:
cos Θ = x/acos (180 - C) = x/aa² + b² + 2bx = c²Please note that the given equation on number 3 is wrong. The correct equation should be: a² + b² + 2bx = c². The explanation why the given equation is incorrect will be explained later.
Based on the unshaded triangle, we can find that:
cos Θ = x/a
Next, we will prove that: cos (180 - C) = x/a
Remember that:
cos (A + B) = cos A cos B - sin A sin B
Law of Cosines: c² = a² + b² - 2ab. cos C
cos C = - [c² - (a² + b²)] /2ab ... (i)
Then:
cos Θ = cos (180 - C)
cos (180 - C) = cos 180 . cos C - sin 180 . sin C
We subtitute equation (i):
cos (180 - C) = (-1) (- [c² - ((a² + b²)] / 2ab) - 0 sin C
cos (180 - C) = [c² - (a² + b²)]/ 2ab ... (ii)
If we focus on the unshaded triangle, we can find an equation of a, where:
a² = h² + x² ... (iii)
And if we combine both triangle into a giant triangle, we can make another equation of c. where:
c² = (x + b)² + h² ... (iv)
We will subtitute equation (iv) into equation (ii):
cos (180 - C) = [c² - (a² + b²)]/ 2ab
cos (180 - C) = [(x + b)² + h² - (a² + b²)] / 2ab
cos (180 - C) = [x² + b² + 2bx + h² - a² - b²] / 2ab
cos (180 - C) = [x² + 2bx + h² - a²] / 2ab ... (v)
We subtitute equation (iii) into equation (v):
cos (180 - C) = [x² + 2bx + h² - a²] / 2ab
cos (180 - C) = [a² + 2bx - a²] / 2ab
cos (180 - C) = 2bx / 2ab
cos (180 - C) = x/a --> PROVEN!
Next, we will try to show why the given equation of a² + b² - 2bx = c² is incorrect.
We know that:
a² + b² - 2ab cos C = c²
c² = (x + b)² + h²
We will try to find the value of cos C:
a² + b² - 2ab cos C = (x + b)² + h²
a² + b² - 2ab cos C = x² + b² + 2bx + h²
a² - 2ab cos C = a² + 2bx
- 2 ab cos C = 2bx
cos C = - x/a
We will subtitute the value of cos C under the Law of Cosines:
c² = a² + b² - 2ab cos C
c² = a² + b² - 2ab (- x/a)
c² = a² + b² + 2bx --> PROVEN!
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Three dice are rolled. let the random variable x represent the sum of the 3 dice. by assuming that each of the 6^3 possible outcomes is equally likely, find the probability that x equals 10.
P(x=10) =
The probability of P(X=10) is [tex]\frac{27}{216}[/tex]
To get a sum of 10 , the possible triples are
Set1 Set2
136 226
145 244
235 334
A probability is a number that reflects the chance or likelihood that a particular event will occur. Probabilities can be expressed as proportions that range from 0 to 1, and they can also be expressed as percentages ranging from 0% to 100%.If a ≠ b ≠ c there exist 3 !=b number of permutations of (a, b, c).
If a = b ≠ c then there exist 3 unique permutations of (a, b, c).
In set 1 in each combinations, there are different numbers. joe [tex]$a \neq b \neq c$[/tex]. Thus for each combination there exist 6 permutations.
For example (1 3 6) can be written in 6 different ways.
(1 3 6), (1 6 3), (6 1 3), (3 1 6), (6 3 1)
This, we can get a sum of 10 from the numbers 136 in 6 ways.
There are 3 different combinations in set 1 , thus total number ways =3*16-18.
In set of 2 each combination can be obtained in a 3 ways.
So, total number of ways in set 2 is 3*3=9.
The total is 18+9=27 number of possible ways to get sum of 10 in three dice.
⇒P(X=10)=[tex]\frac{27}{6^{3} }[/tex]
⇒P(X=10)=[tex]\frac{27}{216}[/tex]
Therefore, the P(X=10) is [tex]\frac{27}{216}[/tex].
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Whats is a pirates favorite part of statistics?
Answer: R-squared
Step-by-step explanation:
pronounced ARRRrrr-squared
im Bzssgrhz,
what happened to neko16? or lucassarmiento
The Dante's Inferno Test has banished you to the Eigth Level of Hell - the Malebolge! Here is how you matched up against all the levels: Level, Score. Purgatory ...
Maximum and careful attention was done to avoid any wrongly tagging any categories , but mistakes may happen.
Please Help 20 points for this
Answer:
Step-by-step explanation: (x*2)+(6*2)
The taco truck sells tacos for $3 and burritos for $4. The number of items sold on a Tuesday is 125 with a total income of $430. How many tacos were sold?
Answer:
This is a system of equations problem. We can set up the equations as follows:
3x + 4y = 430 (1)
x + y = 125 (2)
Where x is the number of tacos sold and y is the number of burritos sold.
We can solve for x in equation (2) by subtracting y from both sides:
x = 125 - y
Now we can substitute this expression for x into equation (1):
3(125 - y) + 4y = 430
375 - 3y + 4y = 430
3y + 4y = 430 - 375
y = 55
So, 55 burritos were sold on Tuesday. To find the number of tacos sold, we can use equation (2) and substitute in the value we found for y:
x + 55 = 125
x = 70
Therefore, 70 tacos were sold on Tuesday.
What number has 7 ten thousands, 5 fewer thousands than ten thousands, 1 more hundred than thousands, 6 more tens than hundreds , and 5 more ones than ten hundreds?
Answer:
Step-by-step explanation:
The number is 75,146.
This can be arrived at by breaking down the number as follows:
7 ten thousands: 70000
5 fewer thousands than ten thousands: 10000 - 5000 = 5000
1 more hundred than thousands: 5000 + 100 = 5100
6 more tens than hundreds: 5100 + 60 = 5160
5 more ones than ten hundreds: 5160 + 5 = 5165
So, 70000 + 5000 + 5100 + 60 + 5 = 75,165
what is 5 to the power of 8
Answer:
your answer is going to be 390625
Step-by-step explanation:
do 5x5x5x5x5x5x5x5 and you will get 390625
f(x) =
(3,
4,
5,
if 0 ≤ x < 2
if 2 ≤ x < 4
if 4 ≤ x
what is the domain and range?
According to the problem the domain of this function is all real numbers x greater than or equal to 0.
What are real numbers?Real numbers are any number that can be used to represent a quantity on the number line. They include both rational numbers (integers, fractions, and decimals) and irrational numbers (numbers that cannot be expressed as a fraction). Real numbers can be positive, negative, or zero and include the number line's endpoint values of positive and negative infinity. Real numbers are used in many areas of mathematics, including algebra and calculus. They are also found in everyday life, in the measurements of length, temperature, and in currency values.
The domain of this function is all real numbers x greater than or equal to 0. The range of this function is all real numbers y greater than or equal to 3. This is because all values of x are mapped to values of y that are greater than or equal to 3.
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need help! just give a strait answer! thx! :)
Answer:
6x + y
Step-by-step explanation:
Remove the parenthesis
8x−6y−2x+7y
Add like terms
(8x−2x)+(−6y+7y)
Simplify
6x+y
Answer:
(-6x-y)
Step-by-step explanation:
We would subtract like terms
2x and 8x are like terms
2x-8x = -6x
-7y and -6y
-7y+6y = -y
Giving us...
(-6x-y)
Q1. I need help on finding the range.
Q2. I need help on finding both increasing and decreasing.
90% of 10 is
150% of 20 is
5% of 50 is
there are 10 total Marbles. 40% are white. How many Marbles are white?
Answer:
9
30
2.5
4
Step-by-step explanation:
I hope you understand cause I did it mentally but if you need and explanation just text here
If there is inverse variation and y=-4 when x=14 find x when y=28
Answer:
7 times 4 equals 28
Step-by-step explanation:
Answer:
The answer will be 2
Step-by-step explanation:
x = 14 y = 4
x = ? y = 28
= 14 × 4 = x × 28
= 56 = x × 28
= x = 28/56
= x = 2
2/3x=8
Please answer i need help
Answer:
the answer will be 19/8
Step-by-step explanation:
pls give brainlyest
f(x)=x^3-3x^2+2
g(x)=2f(x)-1
a) describe the graph of g as a transformation of the graph of f.
write a rule for g
a) The transformations applied to the graph of f to obtain the graph of g are given as follows:
Vertical stretch by a factor of 2.Shift down of one unit.b) The rule for g(x) is given as follows: g(x) = 2x³ - 6x² + 3.
What are the transformations?The parent function f(x) is defined as follows:
f(x) = x³ - 3x² + 2.
The transformed function is given as follows:
g(x) = 2f(x) - 1.
The meaning of each transformation is given as follows:
Multiplication by 2: vertical stretch by a factor of 2.Subtraction by 1: Shift down one unit.The rule for g(x) is then obtained as follows:
g(x) = 2(x³ - 3x² + 2) - 1
g(x) = 2x³ - 6x² + 4 - 1
g(x) = 2x³ - 6x² + 3.
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129.938 + 46.07 + 38
What is the answer
Answer: 214.008
Step-by-step explanation: hope this helped :)
Military radar and missile detection systems are designed to warn a country of an enemy attack. A reliability question is whether a detection system will be able to identify an attack and issue a warning. Assume that a particular detection system has a 0.89 probability of detecting a missile attack. Use the binomial probability distribution to answer the following questions.
COMPLETE QUESTION
Military radar and missile detection systems are designed to warn a country of an enemy attack. A reliability question is whether a detection system will be able to identify an attack and issue a warning. Assume that a particular detection system has a .90 probability of detecting a missile attack. Use the binomial probability distribution to answer the following questions.
a. What is the probability that a single detection system will detect an attack?
b. If two detection systems are installed in the same area and operate independently, what is the probability that at least one of the systems will detect the attack?
c. If three systems are installed, what is the probability that at least one of the systems will detect the attack?
d. Would you recommend that multiple detection systems be used?
Explain.
ANSWER:-
a. The probability that a single detection system will detect an attack is, 0.90.
b. If two detection systems are installed, the probability that at least one of the systems will detect the attack is, 0.81
c. If three systems are installed, the probability that at least one of the systems will detect the attack is, 0.927
What is probability?Probability is a mathematical term, which can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. The possibility that an event will occur is measured by probability.
Probability of Event = Favorable Outcomes/Total Outcomes = X/n
a. The probability that a single detection system will detect an attack is 0.90.
b. If two detection systems are installed in the same area and operate independently, the probability that at least one of the systems will detect the attack is given by:
P(at least one detection) = 1 - P(neither detection)
where P(neither detection) is the probability that neither of the two systems detects the attack. Since the systems operate independently, the probability of neither detection can be calculated as:
P(neither detection) = (1 - 0.90)²
= 0.19
P(at least one detection) = 1 - 0.19
= 0.81
So the probability that at least one of the two systems will detect the attack is 0.81.
c. If three systems are installed, the probability that at least one of the systems will detect the attack is given by:
P(at least one detection) = 1 - P(neither detection)
where P(neither detection) is the probability that neither of the three systems detects the attack. Since the systems operate independently, the probability of neither detection can be calculated as:
P(neither detection) = (1 - 0.90)³
= 0.073
P(at least one detection) = 1 - 0.073
= 0.927
So the probability that at least one of the three systems will detect the attack is 0.927.
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Please help me with this question.
The exact value of the trigonometric function is equal to - √5 / 2.
How to determine the exact value of a trigonometric function
In this problem we must derive the exact value of a trigonometric function based on result of another trigonometric function and given quadrant from Cartesian plane.
Cartesian plane is formed by intersection of two orthogonal axes that creates after four regions known as quadrants, now defined:
First quadrant: x > 0, y > 0.Second quadrant: x < 0, y > 0.Third quadrant: x < 0, y < 0.Fourth quadrant: x > 0, y < 0.And trigonometric functions for a given angle are defined below:
sin θ = y / r
cos θ = x / r
tan θ = y / x
cot θ = x / y
sec θ = r / x
csc θ = r / y
Where r = √(x² + y²) by Pythagorean theorem.
First, derive the components of the given trigonometric function:
sec θ = 3 / 2 → x = 2, r = 3
y = - √(r² - x²)
y = - √(3² - 2²)
y = - √(9 - 4)
y = - √5
Second, find the exact value of the tangent:
tan θ = - √5 / 2
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8. The ratio of the number of boys to the number of girls in a dance club is 5 : 6.
After 6 more boys join the club, the ratio became 13:12.
a) How many members of the club are girls?
b) How many boys are members of the club in the end?
Answer:
a, 18 girls
b. 21 boys
Step-by-step explanation:
a) To find the number of girls in the club, we can use the fact that the ratio of boys to girls is 5:6. If we let x be the number of girls in the club, then the number of boys is 5/6x.
When 6 more boys join the club, the new ratio is 13:12.
We can set up the equation: (5/6x)+6 = (13/12*x).
Solving for x gives us x = 18.
So there are 18 girls in the dance club.
b) To find the number of boys in the club in the end, we can use the new ratio of 13:12 and the number of girls we found earlier (18). If we let y be the number of boys in the club in the end, then the number of girls is 12/13y.
We can set up the equation: 18 = (12/13y)
Solving for y gives us y = 21.
So there are 21 boys in the dance club in the end.
if the area of a circle is 36.2 square inches, find the length of its radius. (use 3.14 for pi) round to the nearest tenth. group of answer choices
if the area of a circle is 36.2 square inches, the radius of the circle to the nearest tenth is 3.4 inches.
The area of a circle is 36.2 square inches and we have to determine the radius of the circle to the nearest tenth.
The formula of the area of the circle is given as:
Area of circle = πR², where R is the radius of the circle.
We are given, Area of the circle = 36.2 square inches
So, πR² = 36.2 square inches
Now, π = 3.14
3.14R² = 36.2 square inches
R² = 36.2/3.14
R² = 11.53
Taking square root on both sides
R = √11.53
R = 3.39 inches
R ≈ 3.4 inch (Rounded to the nearest tenth)
Hence, the radius of the circle to the nearest tenth is 3.4 inches.
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Given that f(x) = x² − 8x + 12 and g(x) = x − 2, find (ƒ – g)(x) and express
the result as a polynomial in simplest form.
Answer:
(f - g)(x) = f(x) - g(x) = (x² - 8x + 12) - (x - 2) = x² - 8x + 12 - x + 2 = x² - 9x + 14. So, (f - g)(x) = x² - 9x + 14.
Bikes produced per day 0 1 23 456 7 Total cost $0 $80 $97 $110 $130 $160 $210 $270 Total revenue $0 $50 $100 $150 $200 $250 $300 $350 Profit Using this table, calculate the profit at each level of bicycle production. One bike: -$ Two bikes: $ Three bikes: $ Four bikes: S Five bikes: $ Six bikes: $ Seven bikes: $
The profits at each level of bicycle production vary with the total cost, total revenue, and level of production, the profits are as follows:
One bike: -$30
Two bikes: $3
Three bikes: $40
Four bikes: $70
Five bikes: $90
Six bikes: $90
Seven bikes: $80
How to calculate the profit?The profit is the amount retained by the business after paying off the expenses and other costs. It is determined by preparing the profit and loss account at the end of each financial year.
The formula used to determine the profit is:
Profit = Total revenue - Total cost
The computation of profit for each production level is shown in the image attached below.
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please answer a b and c ! Please expand the expiation and simplify it!
Answer:
pls give brainiest
Step-by-step explanation:
a）2（x＋5）＋4（x-1）
＝2x＋10＋4x-4
＝6x＋6
＝6（x＋1）
b）3（y-2）＋2（y-1）
＝3y-6＋2y-2
＝5y-8
c）7（r＋3）-2（r-1）
＝7r＋21-2r＋2
＝5r＋23
John has been shopping for a computer monitor for gaming. He sees that one he has been
eying for the last month is now marked down by 30%. The markdown/savings shown on
the ad is $237.00. What was the Regular Price of the item before this markdown?
To find the regular price of the item before the markdown, we can use the following formula:
Regular Price = Markdown / (1 - (Discount Percentage / 100))
Here, the discount percentage is 30%, and the markdown is $237.00.
Regular Price = 237 / (1 - (30 / 100))
Regular Price = 237 / 0.7
Regular Price = $341.43
So the regular price of the item before the markdown was $341.43.
Answer:
$341.43.
Step-by-step explanation:
Formula:
Original Price = Markdown ÷ [1 - (Discount Percentage ÷ 100)]
(The mardown would be $237.00 and the discount percentage would be 30%)
Modified Formula (to match out equation:
Regular Price = 237.00 ÷ [1 - (30 ÷ 100)]
= 237 ÷ 0.7
= $341.43
Let A = {h,i,j,k,l} and B = {h.j,l,m,n}. Find n(A U B).
A. 3
B. 10
C. 2
D. 7
Answer:
answer is D
Step-by-step explanation:
A={h,I,j,k l} and B={h,j,l m,n}
n(A U B)={h,I,j,k,l,m,n }
number is 7
7 in every 9 packets of crisps in a box are salt and vinegar. The rest are plain. There are 63 packets of salt and vinegar in the box. How many packets of plain crisps are there?⭐⭐⭐⭐⭐⭐
If 7 in every 9 packets of crisps in a box are salt and vinegar, then 9-7 = 2 packets of crisps in a box are plain.
If there are 63 packets of salt and vinegar in the box, then 63 packets / 7 = 9 groups of 9 packets in the box.
So, 9 groups * 2 plain crisps = 18 packets of plain crisps in the box.
Your Welcome :) Hope you have a great day!
Answer:
14
Step-by-step explanation:
9/9 - 7/9 = 2/9
2 in every 9 packets of ceisps in a box are plain crisps.
Then:
63*2/9 = 126/9
= 14
