The expression (4d + 7) + (4d² + 8d + 9) simplifies to 4d² + 12d + 16.
Adding the expressionsfrom the question, we have the following parameters that can be used in our computation:
(4d + 7) + (4d² + 8d + 9)
We can simplify the expression by combining like terms:
(4d + 7) + (4d² + 8d + 9) = 4d² + (4d + 8d) + (7 + 9)
= 4d² + 12d + 16
Therefore, (4d + 7) + (4d² + 8d + 9) simplifies to 4d² + 12d + 16.
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Help PLEASEEEE!!!!!!!!!
What is the missing number in [_] -3/4=2/3
Answer:
17/12
Step-by-step explanation:
What is the missing number in [_] -3/4=2/3?
Let the missing number be x
We have
x - 3/4 = 2/3
x = 2/3 + 3/4
x = 8/12 + 9/12
x = 17/12
So, the missing number is 17/12
what does -8-12 equal to and how
According to operations in maths, -8 - 12 is solved by adding the two numbers together and maintaining the negative sign, which will give us: -20.
How to Carry Out Operations in Mathematics?Operations in mathematics are often guided by these rule listed below:
minus + plus = minus
minus + minus = minus
minus × minus = plus
minus × plus = minus
Thus, if we are given the expression, -8 - 12, applying the second rule stated above, we will have:
-8 - 12 = -20
This means we are adding two negative numbers together, which will give us the negative value of their sums.
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Find the lateral area of the following
cone. Leave your answer in terms of pi.
12 cm
5 cm
LA = [?]π cm²
Hint: Lateral Area of a Cone = Tre
Where & slant height
The lateral surface-area of the cone with dimensions 12 cm height and 5 cm radius is 65π cm² using the formula πrl.
What is surface-area?
The overall surface area of a solid shape, item, or three-dimensional figure.It can have a flat or curved surface. Cone and cylinder surfaces are curved, but those of solid structures like the cube and cuboid have flat surfaces. The surface area of the cube is provided by 6 times side times side, which equals the area of each face side times side. The cube and cuboid have 6 faces, 12 equal edges, and 8 corners or vertices.
Given that the dimensions of cone:
Radius(r)=5 cm
Height(h) = 12 cm
slant height l =[tex]\sqrt{r^{2} +h^{2} }[/tex]
=[tex]\sqrt{(5)^{2} +(12)^{2} }[/tex]
=[tex]\sqrt{25+144}[/tex]
=[tex]\sqrt{169}[/tex]
=13 cm
Slant height (l) = 13 cm
lateral area of cone= πrl.
=π (5) (13)
=65 π cm²
The lateral surface area of cone=65 π cm²
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4) Which statement about having a salaried job is true?
Question 4 options:
The employee must work over forty hours to receive a salary each week.
The employee is paid the same amount each week regardless of the number of hours worked.
The employee must have more experience than anyone else.
The employee is paid salary only if they work exactly forty hours each week.
The statement that is true about having a salaried job is "The employee is paid the same amount each week regardless of the number of hours worked." So, correct option is B.
Salaried jobs typically offer a set salary for a specified period, such as weekly, bi-weekly, or monthly, regardless of the number of hours worked. This is in contrast to hourly jobs where an employee is paid based on the number of hours worked.
Salaried employees often have a contract that specifies their salary and may include additional benefits, such as health insurance, paid vacation days, or retirement plans.
The amount of the salary is often negotiated during the hiring process and may be based on factors such as the employee's experience, education, and qualifications.
While salaried employees are expected to work a certain number of hours per week, the salary remains the same regardless of whether the employee works more or less than the expected hours.
So, correct option is B.
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Rewrite 11,000,000 as a power of 10.
Rewriting 11,000,000 as a power of 10 using scientific notation is: 1.1 * 10⁷
How to write the number in Scientific form?A number is written in scientific notation whenever a number between 1 and 10 is multiplied by a power of 10. For example, 650,000,000 can be written in scientific notation as 6.5 * 10^8.
Now, we want to write the number 11000000 as a power of 10. Using the concept of scientific notation, we have:
11000000 = 1.1 * 10⁷
That is the final expression of the given number as a power of 10
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Use limits to determine if
x+3
f(x) = is continuous at x = 3.
The correct answer is (d) No, it is not continuous because lim x→3 f(x) ≠ lim x→3 f(x).
To determine if the function f(x) = (x+3)/(x²-9) is continuous at x=3, we need to check if the limit of the function exists as x approaches 3 from both the left and the right, and whether this limit is equal to the value of the function at x=3.
First, we can check the limit as x approaches 3 from the left:
lim x→3- f(x) = lim x→3- (x+3)/(x²-9) = (-3)/(0-) = ∞
Next, we can check the limit as x approaches 3 from the right:
lim x→3+ f(x) = lim x→3+ (x+3)/(x²-9) = (6)/(0+) = ∞
Since both one-sided limits are infinite, the limit as x approaches 3 does not exist.
Therefore, the function f(x) = (x+3)/(x²-9) is not continuous at x=3.
The correct answer is (d) No, it is not continuous because lim x→3 f(x) ≠ lim x→3 f(x).
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A lawn 46m by 34m has a path of uniform width around it. If the area of the
path is 425m², find its width.
The width of the path is 24 meters.
How to calculate the widthLet's call the width of the path "x".
The dimensions of the inner rectangle (the lawn without the path) are 46m by 34m. The dimensions of the outer rectangle (the lawn with the path) are (46+2x) by (34+2x).
Area of path = Area of outer rectangle - Area of inner rectangle
425m² = (46+2x)(34+2x) - (46)(34)
Simplifying and solving for x:
425m² = (2x+46)(2x+34)
425m² = 4x² + 80x + 1564
4x² + 80x - 1161 = 0
We only want the positive value for x, so:
x = (-80 + 272) / 8
x = 24m
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Solve for the value of X 130 degrees X+134
Answer:
-4. my answers need to be 20 characters+ soooo
A television producer designs a program that will include a comedian and
time for commercials. The advertiser insists on at least 2 minutes of
advertising time. The station insists on no more than 4 minutes of
advertising time and the comedian insists on at least 24 minutes of the
comedy program. The total time allotted for the advertising and comedy
portion cannot exceed 30 minutes. If it has been determined that each minute
of advertising (very creative advertising) attracts 40,000 viewers and each
minute of comedy time attracts 45,000 viewers, how should the time be
divided between advertising and the comedy program in order to maximize
the number of viewers?
According to the concept of inequality, the maximum value of A is obtained when a = 2 and c = 28.
Let's assume that each minute of advertising attracts 40,000 viewers and each minute of comedy attracts 45,000 viewers. Therefore, the total audience (in thousands) that can be reached is given by:
A = 40a + 45c
Firstly, we know that the total time allotted for advertising and comedy cannot exceed 30 minutes. Therefore, we can rewrite the inequality as:
a + c ≤ 30
Solving for c, we get:
c ≤ 30 - a
Now, we can substitute this expression for c in the equation for A:
A = 40a + 45c
A = 40a + 45(30 - a)
A = 1350 - 5a
To maximize A, we need to find the value of a that will result in the maximum value of A. Taking the derivative of A with respect to a and setting it equal to zero, we get:
dA/da = -5 = 0
a = 0
This does not make sense, as a cannot be zero. Therefore, we need to check the endpoints of the interval [2,4] to see if they give a maximum value for A.
When a = 2, we get:
A = 40(2) + 45c
A = 80 + 45c
Substituting c = 30 - a, we get:
A = 80 + 45(30 - 2)
A = 80 + 1350
A = 1430
When a = 4, we get:
A = 40(4) + 45c
A = 160 + 45c
Substituting c = 30 - a, we get:
A = 160 + 45(30 - 4)
A = 160 + 1215
A = 1375
This means that the producer should allocate 2 minutes for advertising and 28 minutes for the comedy program in order to maximize the number of viewers.
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what is the image of
(0,3) after a dilation by a scale factor of
2 centered at the origin? PLEASE HURRY ITS DUE TODAY :((
The image of the point (0, 3) after dilation by a scale factor of 2 centered at the origin is (0, 6).
What is the image of (0,3) after a dilation by a scale factor of 2 centered at the origin?Dilation is a transformation in which a figure is enlarged or reduced by a scale factor.
We are to find the image of (0,3) after a dilation by a scale factor of 2 centered at the origin.
The scale factor is 2, which means the figure will be enlarged.
To find the image of (0, 3) after dilation, we multiply its x-coordinate and y-coordinate by 2.
Hence;
(0, 3)
Multiply the coordinates by 2.
(0 × 2, 3 × 2)
= (0, 6)
Therefore, the image after dilation is (0, 6).
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8s + 8 < s + 9 solve the following inequality for a( simplest form)
Answer:
s < [tex]\frac{1}{7}[/tex]
Step-by-step explanation:
8s + 8 < s + 9
7s + 8 < 9
7s < 1
s < [tex]\frac{1}{7}[/tex]
The following images all include inverse relations of different functions.
Which images show an inverse relation that is also a function?
Select all that apply
Answer: The First Graph and the Last Graph
Step-by-step explanation:
So all of these are inverses of a function. But as for how do you tell if the inverse is a function...
Well, it has to pass the test that all functions have to pass: the Vertical Line Test.
Any time you draw a vertical line down a graph, it should ONLY PASS THROUGH ONE POINT.
Your pictures are a little blurry, but as far as I can tell, Graph 1 is pretty linear, and a vertical line drawn would only intersect one point on the graph.
The second one however... well it seems pretty obvious why the vertical line test wouldn't work there. A vertical line drawn on the right half would intersect two points, which does not pass the test.
Same thing for Graph 3.
Graph 4 looks like it would pass the vertical line test. I cannot see the section on the y-axis that well, but it looks like it doesn't double back on itself.
Just check them with the Vertical Line Test! It's really useful for figuring out if something's a function or not.
some one help me please
Answer:
first one is 18 second one is 45
Step-by-step explanation:
add 18 and 45 to get 63
area is 63
1. According to the podcast, why and how is chicken the reason American trucks dominate the truck market in the United States? Briefly explain. 2. Name two reasons a party (e.g., a politician or an industry association) may want to impose a tariff? 3. Who are they usually trying to protect? Who would be hurt by a tariff on automobiles? Explain. 4. Describe how competition encourages innovation? In your answer to this question, include a discussion on why American trucks "basically stayed the same over the years. 5. Describe ways foreign companies tried to get around American-imposed tariffs on automobiles. 6. Do you think the methods you described in your previous answer are efficient for an economy? Why or why not? 7. Lastly, how can a tariff be used as a bargaining chip? In your opinion, is that a good reason to impose tariffs - why or why not?
1. Chicken became the key product that drove the creation of the Interstate Highway System, which led to the dominance of American trucks in the US truck market.
2. A party may want to impose a tariff to protect domestic industries from foreign competition or to generate revenue for the government.
3. A party is usually trying to protect domestic industries, but a tariff on automobiles would hurt both domestic consumers who would pay higher prices and foreign producers who would face reduced demand.
4. Competition encourages innovation by providing incentives for companies to improve their products and services to stay ahead of their rivals; American trucks stayed the same because they faced little competition due to protectionist policies.
5. Foreign companies tried to get around American-imposed tariffs on automobiles by establishing factories in the US, forming joint ventures with American companies, or exporting through third countries.
6. The methods used to get around tariffs can be efficient in the short term, but they may not be sustainable or desirable in the long term as they can lead to trade imbalances and undermine the competitiveness of domestic industries.
7. Tariffs can be used as a bargaining chip to negotiate better trade deals, but they should be imposed judiciously and only as a last resort to avoid damaging the economy and harming consumers.
1. In the podcast, chicken is cited as the reason why American trucks dominate the truck market in the United States.
This is because in the 1960s, the government imposed regulations on the trucking industry that limited the amount of weight a truck could carry.
To get around these regulations, the industry started using smaller trucks to transport goods, which were often not strong enough to handle the weight.
However, they found that if they put chicken on the back of the trucks, the weight of the cargo would distribute more evenly and the smaller trucks could handle the load.
This led to the development of the modern pickup truck, which is now a staple of the American automobile market.
2. Parties may want to impose tariffs for various reasons, such as to protect domestic industries and jobs from foreign competition, to raise revenue for the government, or to level the playing field in international trade.
Two specific reasons for imposing tariffs could be to protect national security interests or to address unfair trade practices by other countries.
3. Tariffs are usually imposed to protect domestic industries and jobs, and the parties that are being protected are typically the producers of the goods or services in question.
However, tariffs can also harm consumers who may have to pay higher prices for imported goods or may have fewer choices in the marketplace. For example, if a tariff is imposed on automobiles, domestic car manufacturers may benefit, but consumers may have to pay more for cars, and foreign automakers may lose market share.
4. Competition encourages innovation by creating incentives for companies to improve their products or services to gain a competitive advantage.
In the case of American trucks, the lack of competition may have contributed to their lack of innovation over the years. Since they dominated the market, there was little pressure to improve or innovate, and as a result, they have largely stayed the same.
However, the rise of foreign competition in recent years has led American truck manufacturers to invest more in innovation to stay competitive.
5. Foreign companies have tried to get around American-imposed tariffs on automobiles in various ways, such as by moving production to countries not subject to the tariffs, by exporting parts and assembling them in the United States, or by lobbying the government for exemptions or tariff reductions.
6. The methods used by foreign companies to get around tariffs may not be efficient for the economy as a whole because they can lead to higher costs and inefficiencies in the supply chain.
However, they may be necessary for individual companies to remain competitive in the short term.
Ultimately, a more efficient solution would be to address the root causes of the trade imbalances that lead to tariffs in the first place.
7. A tariff can be used as a bargaining chip by threatening to impose tariffs on imports from a country unless they make concessions in trade negotiations.
While this can be an effective strategy in certain situations, it can also lead to a trade war and harm both economies.
In general, tariffs should be used sparingly and as a last resort, and efforts should be made to address underlying trade issues through diplomacy and negotiation.
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which of the following numbers could be added to 1/12 to make us some greater than 1/2
5/12
9/24
1/3
4/9
The numbers that could be added to 1/12 to make the sum greater than 1/2 are 9/24 and 4/9.
To make the sum greater than 1/2, we need to find the number that, when added to 1/12, gives a result greater than 1/2.
1/2 is the same as 6/12, so we need to find the number that, when added to 1/12, gives a result greater than 6/12.
1/12 + 5/12 = 6/12, which is not greater than 1/2.
1/12 + 9/24 = 1/12 + 3/8 = 11/24, which is greater than 1/2.
1/12 + 1/3 = 1/12 + 4/12 = 5/12, which is not greater than 1/2.
1/12 + 4/9 = 3/36 + 16/36 = 19/36, which is greater than 1/2.
Therefore, the numbers that could be added to 1/12 to make the sum greater than 1/2 are 9/24 and 4/9.
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Sravya earns $42,820 per year in take home pay. What is the most money a housing expert would advise her to spend on a monthly mortgage payment?
Answer:
3568 or 3567
Step-by-step explanation:
42820 divided by 12
You want to make a rectangular banner that is 16 feet long. You have no more than 50 feet of trim for the banner. What are the possible widths of the banner?
Answer:
So, the possible width of the banner would be 9 feet or less, since we have assumed a maximum total trim of 50 feet. If the width exceeds 9 feet, the total trim required would exceed the available trim of 50 feet. Therefore, the possible widths of the banner are 9 feet or less.
Step-by-step explanation:
Given:
Length of the banner (L) = 16 feet
Total trim available (T) = 50 feet
The perimeter of a rectangle is given by the formula:
Perimeter = 2 * (Length + Width)
In this case, the perimeter of the banner would be equal to the total trim available, since the trim goes all the way around the banner.
So, we can set up the equation as follows:
2 * (L + w) = T
Plugging in the given values:
2 * (16 + w) = 50
Simplifying the equation:
32 + 2w = 50
2w = 50 - 32
2w = 18
w = 18 / 2
w = 9
What type of skew is observed in this histogram?
The type of skewness that can be observed in an histogram are positive and negative skewness.
What type of skew can be observed in an histogram?An histogram can display both positive and negative skewness.
A positive skew means that the tail of the histogram is longer on the positive side of the distribution, indicating that there are more data points with smaller values, and fewer data points with larger values.
A negative skew, on the other hand, means that the tail of the histogram is longer on the negative side of the distribution, indicating that there are more data points with larger values, and fewer data points with smaller values.Read more about histogram at
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Solve x2−−√=x . A. all values of x B. all values of x l x ≥ 1 C. all values of x l x ≥ 0 D. all values of x l x ≤ 0
The solution of the expression is x = (-1 ± i√3)/2 and the domain of the expression is all values of x l x ≥ 0 (option c).
The given equation is -x² = √x. To solve this equation, we need to isolate x on one side of the equation. We begin by squaring both sides of the equation to eliminate the radical:
(-x²)² = (√x)²
x⁴ = x
Now we have a quartic equation, which we can solve by factoring:
x(x³ - 1) = 0
We can further simplify this equation by factoring the cubic term using the difference of cubes formula:
x(x - 1)(x² + x + 1) = 0
From this factorization, we can see that the solutions are x = 0, x = 1, and the solutions of the quadratic factor x² + x + 1 = 0. To find the solutions of the quadratic, we can use the quadratic formula:
x = (-1 ± √1 - 4(1)(1))/2(1)
x = (-1 ± i√3)/2
Therefore, the solutions to the equation -x² = √x are x = 0, x = 1, and x = (-1 ± i√3)/2.
Now let's consider the domain of the solutions, which is determined by the inequality x ≥ 0. This inequality means that the solutions must be greater than or equal to 0. We can see that x = 0 and x = 1 satisfy this inequality.
For the solution x = (-1 ± i√3)/2, we can see that it does not satisfy the inequality x ≥ 0 because it is negative. Therefore, the solutions to the equation -x² = √x in the domain x ≥ 0 are x = 0 and x = 1.
Finally, let's consider the inequality x ≤ 0. This inequality means that the solutions must be less than or equal to 0. We can see that x = 0 satisfies this inequality. However, x = 1 and x = (-1 ± i√3)/2 do not satisfy this inequality. Therefore, the solutions to the equation -x² = √x in the domain x ≤ 0 are x = 0.
Hence the correct option is (c).
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Complete Question:
Solve the expression -x² = √x . And identify the domain of the expression,
A. all values of x
B. all values of x l x ≥ 1
C. all values of x l x ≥ 0
D. all values of x l x ≤ 0
In an illustration of an ant, the length of the ant is 6.5 centimeters. The actual size of the ant is 1.3 centimeters. What is the scale of the illustration?
Answer:
5
Step-by-step explanation:
6.5 / x = 1.3
multiply by x on each side to cancel it out
6.5 = 1.3x
/1.3 /1.3
x = 5
1.3 x 5 = 6.5
The Culver City Carnival had a face-painting booth. There were 8 times as many kids as adults who had their faces painted.
If 56 kids had their faces painted, how many people had their faces painted altogether?
Answer:
Step-by-step explanation:
Let X be the number of adults who had their faces painted.
Therefore, the number of kids who had their faces painted is 8*X.
Given that 56 kids had their faces painted, we can write an equation as:
8*X = 56
Solving for X:
X = 7
So, there were 7 adults who had their faces painted and 56 kids who had their faces painted.
Altogether, there were 7 + 56 = 63 people who had their faces painted.
consider the raoll of the two dice. let x ve a random vasriable representing the sumof the dots appearing on each of the dice. the probability of each possible value of x are as follow
The expected value of X is 7, and the standard deviation of X is 2.42 respectively.
The average of X's potential values is the expected value of X. We must first determine the sum of all potential x values multiplied by each value's associated probability before we can determine the expected value.
Calculate the expected value of X
Expected value = (2×(1/36)) + (3×(2/36)) + (4×(3/36)) + (5×(4/36)) + (6×(5/36)) + (7×(6/36)) + (8×(5/36)) + (9×(4/36)) + (10×(3/36)) + (11×(2/36)) + (12×(1/36))
Expected value = 7
Calculate the variance of X
Variance = (2-7)2×(1/36) + (3-7)2×(2/36) + (4-7)2×(3/36) + (5-7)2×(4/36) + (6-7)2×(5/36) + (7-7)2×(6/36) + (8-7)2×(5/36) + (9-7)2×(4/36) + (10-7)2×(3/36) + (11-7)2×(2/36) + (12-7)2×(1/36)
Variance = 5.83
Calculate the standard deviation of X
Standard deviation = √(variance)
Standard deviation = 2.42
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Complete Question:
Consider the roll of two dice. Let X be a random variable representing the sum of the number of dots appearing on each of the dice. The probabilities of each possible value of X are as follows:
x P(x)
2 1/36
3 2/36
4 3/36
5 4/36
6 5/36
7 6/36
8 5/36
9 4/36
10 3/36
11 2/36
12 1/36
Determine the expected value and standard deviation of X.
Graph the line that has a slope of 0 and includes the point ( 8, 0).
Answer: See Below
Step-by-step explanation:
A slope of 0 simply means a straight line. Since we want the point (8,0), we need to shift our graph to the right 8. Therefore, the equation would be...
x = 8
what is the total amount of water that Kiesha drinks during the 12 days
The total amount of water Keisha drinks in 12 days is 12 + 18 = 30 quarts.
Describe Algebra?Algebra is a branch of mathematics that involves using letters and symbols to represent numbers and quantities in mathematical equations and formulas. It includes a variety of topics, such as solving equations, manipulating expressions, working with functions and graphs, and studying abstract structures such as groups and rings.
At its core, algebra is about understanding the relationships between numbers and how they can be manipulated using various operations such as addition, subtraction, multiplication, and division. Algebraic expressions can be used to model real-world situations and solve problems in fields such as physics, engineering, and finance.
To find the total amount of water Keisha drinks in 12 days, we need to add up the amounts of water she drinks each day:
1 1/2 + 2 1/4 + 2 + 1 1/2 + 1 3/4 + 1 1/2 + 1 1/4 + 2 + 2 1/4 + 1 1/2 + 2 + 1 1/2
We can simplify the mixed numbers by converting them to improper fractions:
3/2 + 9/4 + 2 + 3/2 + 7/4 + 3/2 + 5/4 + 2 + 9/4 + 3/2 + 2 + 3/2
Then we can add the fractions together:
(3/2 + 3/2 + 3/2 + 2 + 2 + 2) + (9/4 + 7/4 + 5/4 + 9/4 + 3/2 + 3/2)
Simplifying the sum of the whole numbers, we get:
12
Simplifying the sum of the fractions, we get:
(18/4 + 14/4 + 10/4 + 18/4 + 6/4 + 6/4) = 72/4 = 18
So the total amount of water Keisha drinks in 12 days is:
12 + 18 = 30 quarts.
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The complete question is:
For 12 days, Keisha keeps track of how much water she drinks per day. 1 1/2 quarts, 2 1/4 quarts, 2 quarts, 1 1/2 quarts, 1 3/4 quarts, 1 1/2 quarts, 1 1/4 quarts, 2 quarts, 2 1/4 quarts, 1 1/2 quarts, 2 quarts, 1 1/2 quarts. What is the total amount of water that Keisha drinks the 12 days?
t C(t)
−2 7
−1 4
0 3
1 4
2 7
What is the equation of C(t)?
C(t) = −(x − 3)2
C(t) = (x − 3)2
C(t) = −x2 + 3
C(t) = x2 + 3
Answer:
the answer is c(t)=x2 +3
Step-by-step explanation:
because if u insert every x value in x place u will get the 2nd coordinate or y value so it is the correct equation
17swtchPLEASE HELP ME THIS IS URGENT I WILL GIVE BRAINLIEST ALL FAKE ANSWERS WILL BE REPORTED AND PLS PLS PLS EXPLAIN THE ANSWER OR HOW U GOT IT PLEASE AND TY
For given triangle, Length of XY and YZ is equal to 7√2.
What is a triangle's definition?
A triangle has three straight sides and three angles. It is one of the basic shapes in geometry and has many properties and applications in mathematics and everyday life. The sum of the interior angles of a triangle is always 180 degrees, and there are different types of triangles depending on their side lengths and angle measures and it includes 6 types of triangles.
Now,
If one of the angles of a right triangle is 90 degrees and another angle is 45 degrees, then the third angle must also be 45 degrees. This means that the triangle is a 45-45-90 triangle, which has a special property that the two legs are congruent and the hypotenuse is the square root of 2 times the square length of each leg.
In this case, the hypotenuse is given as 14, so we can set up the following equation:
14 = √2x²
where x is the length of each leg of the triangle. To solve for x, we can square both sides of the equation:
14² = 2x²
196 = 2x²
x² = 98
x = 7√2
So, each leg of the triangle has a length of 7√2, and the hypotenuse has a length of 14.
Hence,
Length of XY and YZ is equal to 7√2.
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Name two angles that are complementary to BAC.
Name two angles that are complementary to BEA.
Name two angles that are supplementary to BFC.
Name an angle that is supplementary to CAE.
Angles complementary to ∠BEA are ∠BED and ∠ABE.
Angles supplementary to ∠BFC are ∠AFB and ∠EFC.
Angle supplementary to ∠CAE is ∠FCD.
How to find supplementary and complementary angles?Complementary angles are defined as two angles whose sum is 90 degrees.
Complementary angles sum up to 90 degrees.
Supplementary angles are those angles that sum up to 180 degrees.
Therefore, the sum of the angles is 180 degrees.
Let's find the angles that are supplementary or complementary to the highlighted angles.
Therefore,
Angles complementary to ∠BEA are ∠BED and ∠ABE.
Angles supplementary to ∠BFC are ∠AFB and ∠EFC.
Angle supplementary to ∠CAE is ∠FCD.
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How to calculate 1over4 to a equivalent factions with denominator?
To express 1/4 as an equivalent fraction with a different denominator, we need to find a common multiple of 4 and the desired denominator.
Let's say we want to express 1/4 as an equivalent fraction with a denominator of 12. To do this, we can multiply both the numerator and denominator of 1/4 by 3, which gives us:
1/4 x 3/3 = 3/12
So 1/4 is equivalent to 3/12 when the denominator is 12.
In general, to express a fraction a/b as an equivalent fraction with a different denominator c, we can multiply both the numerator and denominator by the same value that makes b equal to c.
This is because when we multiply both the numerator and denominator by the same value, we are essentially multiplying the fraction by 1, which does not change its value.
For example, to express 2/5 as an equivalent fraction with a denominator of 15, we can multiply both the numerator and denominator by 3, which gives us:
2/5 x 3/3 = 6/15
Therefore, 2/5 is equivalent to 6/15 when the denominator is 15.
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Sheryl makes $7 per pair of earrings, e and $13 per necklace, n, she sells what expression represents her total income
Answer:
You just need to create an expression with the variables then add them together to get the total income: 7e + 13n