Answers
Using the figure of the right triangle, the missing side lengths are calculated to be
side LK = 8√2side JL = 4.76How to find the side lengthsThe side lengths of the given right triangle is solved using some basic knowledge of angles.
The knowledge involve knowing that the since the angle given is 45 degrees, then the side opposite the angles are equal.
We can therefore say that side LK = 8√2
We can solve for side JL using the Pythagoras theorem
JL² = JK² + LK²
JL² = 8√2 + 8√2
JL² = 16√2
JL = 4.76
we can therefore say that the side lengths are LK = 8√2 and JL= 4.76
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Related Questions
help me asap. my exam is tomorrow.
Answers
The total surface area of the doghouse is 1452 ft²
What is surface area?The area occupied by a three-dimensional object by its outer surface is called the surface area.
The dog house has many surfaces including the roofs . The total surface area is the sum of all the area of the surfaces.
area of the roof part = 2( 13×11) + 2( 12× 10)×1/2
= 286 + 720
= 1006 ft²
surface area of the building
= 2( lb + lh + bh) -bh
= 2( 10× 11 + 10×8 + 11×8) - 10×11
= 2( 110+80+88)-110
= 2( 278) -110
= 556 -110
= 446ft²
The total surface area = 1006 + 446
= 1452 ft²
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Ms. DeVoto and Mr. Kim share a birthday, but Mr. Kim is 7 years older. If Ms. DeVoto is D years old, write an expression to show how old Mr. Kim is.
Answers
Answer:
D+7=K
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
Please Help! Simplify the expression. [(7−3)⋅2+6]⋅3
Answers
Answer:
42
Step-by-step explanation:
[ ( 7 - 3 ) * 2 + 6 ] * 3
= [ 4 * 2 + 6 ] * 3
= [ 8 + 6 ] * 3
= 14 * 3
= 42
write the prodect 7 times 7 times 7 times 7 in exponential form
Answers
Answer: 7⁴ I believe
Kim had 2 1/3 pounds of candy. Eric eats 2/5 of Kims candy. How much candy did Eric eat?
Answers
The quantity of candy that Eric ate would be = 14/15
How to calculate the quantity of candy eaten by Eric?The quantity of Candy Kim had = 2⅓ pounds.
The quantity of Kims candy that Eric ate = 2/5
That is 2/5 of 2⅓.
The actual quantity of candy that Eric ate = 2/5× 7/3 = 14/15
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4. Approximate the solution to this system of equations.
y = -2x+6
y = 4x - 1
Answers
The solution of the system of linear equations, is (1.167, 3.667).
Given that the system of linear equations, y = -2x+6 and y = 4x - 1, we need to find the solution for the same,
y = -2x+6............(i)
y = 4x - 1.......(ii)
Equating the equations since the LHS is same,
-2x+6 = 4x-1
6x = 7
x = 1.167
Put x = 1.16 to find the value of y,
y = 4(1.16)-1
y = 4.66-1
y = 3.667
Therefore, the solution of the system of linear equations, is (1.167, 3.667).
You can also find the solution using the graphical method,
Plot the equations in the graph, the point of the intersection of both the lines will be the solution of the system of linear equations, [attached]
Hence, the solution of the system of linear equations, is (1.167, 3.667).
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Which ordered pair is a solution to every linear equation of the form y = mx, where m is a real
number?
Answers
The ordered pair which is a solution to every linear equation of the form given is; (0, 0).
Which ordered pair is a solution to the linear equation?It follows from the task content that the ordered pair which satisfies the equation of the form y =Mx be determined.
On this note, since the product of any real number, slope in this scenario and 0 is; 0.
Ultimately, it follows that the required ordered pair is; (0, 0) for any real number value of the slope, m.
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Help pls George is building a fence around a rectangular dog run. He is using his house as one side of the run. The area of the dog run will be 240 square feet. The length of the run is 30 feet, and the width is (30 minus x) feet. The diagram below shows his plan.
Recall the formulas for area and perimeter: A = lw and P = 2l + 2w.
Answers
The width of the dog run is 20 feet.
In the given problem, the length of the dog run is given as 30 feet.
The area of the dog run is also given as 240 square feet.
Using the formula for the area of a rectangle (A = lw), we can solve for the width (w).
Rearranging the formula, we have w = A / l.
Plugging in the values, we get w = 240 / 30 = 8 feet.
Since the width is given as (30 minus x) feet, we can set up an equation:
30 - x = 8. Solving for x, we find x = 22.
Therefore, the width of the dog run is 20 feet (30 - 22 = 8).
In this problem, the length and width of the dog run are defined by the dimensions of the fence being built around it.
The area of the dog run is given as 240 square feet.
By using the formula for the area of a rectangle, we can solve for the width. We are also given that the length is 30 feet.
Setting up an equation with the given width (30 minus x) and solving for x, we find that x is equal to 22.
This means that the width of the dog run is 8 feet. The main answer to the problem is that the width of the dog run is 20 feet (30 - 22 = 8).
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A recipe calls for of a cup of flour to make one batch of doughnuts. If Cecilia wants to make 9 batches of doughnuts, how much flour will she need?
Answers
Answer:9 cups
Step-by-step explanation:
if one batch is one cup obviously it would be 9 cups
Need help with this question
Answers
Gate posts are parallel and m<4 =47, what is m<1
Answers
The value of angle 1 given the value of angle 4 as 47° will be 133°
How to explain parallel linesParallel lines are two lines on a two-dimensional plane that, no matter how far they are extended, never collide. They always keep the same gap between them.
Parallel lines have the same slope, which means they have the same angle of inclination or steepness. In other words, they rise and fall at the same pace along their length.
The value will be:
= 180° - 47°
= 133°
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At a sale, a desk is being sold for 29% of the regular price. The sale price is $272.60.
What is the regular price?
Answers
Answer:$940
Step-by-step explanation:
29%=$272.60
100%=
100%*$272.60/29%=$940
$940
What is the value of n in the numerical sentence?
Answers
Answer: n = -2
Step-by-step explanation:
answer:
-2
step by step explanation:
If the area between the diagonal line of absolute equality and the Lorenz curve is greater for China than for United States, we can conclude that theA) distribution of income in China is closer to being equal than in the United States
B) distribution of the income in China is as equal as in United States
C) distribution of income in China is less equal than in the US*
D)relative distributions of income in the two countries are the same
Answers
If the area between the diagonal line of absolute equality and the Lorenz curve is greater for China than for United States, we can say that a) Distribution of income in China is less equal than in the United states.
Lorenz Curve:
In economics, the Lorentz curve is a graphical representation of the distribution of income or wealth. Developed by Max O. Lorenz in 1905 to show inequality in the distribution of wealth.
This curve plots the percentage of total income or wealth received by the bottom x% of the population, which is not always true for a finite population. Often used to describe income distribution, it shows what percentage (y%) of total income the bottom x% of households have. The X-axis shows household percentage and the Y-axis shows income percentage. It can also be used to represent the distribution of wealth. Used in this way, many economists see it as a measure of social inequality.
Distribution of Income:
Income distribution shows how a country's total GDP is distributed among its population. Economic theory and policy have long made income and its distribution a central concern. Unequal distribution of income causes economic inequality, which is a concern in almost every country in the world.
Classical economists such as Adam Smith (1723-1790), Thomas Malthus (1766-1834), and David Ricardo (1772-1823) focused on the distribution of factor income, i.e. production (land, labor, capital). . Modern economists have also addressed the issue of income distribution, but have focused more on the distribution of income between individuals and households. An important theoretical and policy concern is the balance between income inequality and economic growth, and their often inverse relationship.
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A spinner with the colors orange, yellow, purple, and green is spun. What is the theoretical probability, as a decimal, of stopping on the color purple? Round the decimal to the nearest hundredth. (Have to put it in decimal form)
Answers
The spinner has in total 4 colors. The probability of it stopping on the color purple is 1 out of 4, that is:
\(P=\frac{1}{4}=0.25\)What is the following product?
30 10
O 2010
O 3 V10
4./10
o 10/3
What is the following product?
Square root 30 and square root 10
Answers
Answer:
10 sqrt 3
Step-by-step explanation:
sqrt (30) * sqrt (10) = sqrt (300) = sqrt ( 4 * 25 * 3) = 10 sqrt 3
Can someone please read this?? I keep trying to but I get distracted!
Answers
Answer:
it translates to something i can't say on here ;)
Find the probability that among 16 randomly selected people; at least 4 believe that college is no longer a good investment.
Answers
Answer:
I think its 1/4 because 4/16 simplifies to 1/4
Find the area of the shape.
Either enter an exact answer in terms of π or use 3.14 for π and enter your answer as a decimal.
Answers
The area of the shape as shown in the diagram is 50.24 squared unit.
What is area?Area can be defined as the region bounded by a plane shape.
To calculate the area of the shape, we use the formula below.
Formula:
A = ∅πr²/360Where:
A = Area of the shaper = Radius of the circle the shape was formed fromπ = PieFrom the question,
GIVEN:
r = 8 ∅ = 90°π = 3.14Substitute these values into equation 1
A = 90×3.14×8²/360A = 50.24 squared unitHence, the area is 50.24 squared unit.
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The volume of a rectangular prism is 5058
50
5
8
cubic inches.
The dimensions are given below.
What is the missing value in the table?
Answers
The missing value in the table include the following: B. 4 1/2 in.
How to calculate the volume of a rectangular prism?In Mathematics and Geometry, the volume of a rectangular prism can be calculated by using the following formula:
Volume of a rectangular prism = L × W × H
Where:
L represents the length of a rectangular prism.W represents the width of a rectangular prism.H represents the height of a rectangular prism.By substituting the given dimensions (parameters) into the formula for the volume of a rectangular prism, we have;
50 5/8 = 5 × W × 2 1/4
Width, W = 4 1/2 inches.
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Complete Question:
The volume of a rectangular prism is 50 5/8 cubic inches.
The dimensions are given below.
What is the missing value in the table?
Length Width Height
5 in. 214 in.
A. 79in.
B. 412in.
C. 134in.
D. 1018in.
Rae's unpaid credit card balance was $1,603. Her APR is 28.6%. What is her new
balance after she makes one new transaction for $51? Round answer to the
hundredths place. If answer doesn't have a hundredths place then include a zero so
that it does. Use a word not a symbol for the units.
Answers
$2010.458 is her new balance after she makes one new transaction for $51.
What does a credit balance mean?
The amount that the credit card company owes you is shown as a credit balance on your billing statement. Each payment you make results in credits being added to your account.
When you return something you purchased with your credit card, you can receive an additional credit.
Credit balance = $1,603
APR = 28.6%
= 28.6% * $1,603
= 458.458
Credit balance = $1,603 + 458.458
= $2061.458
net balance = $2061.458 - 51
= $2010.458
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A farmer builds a fence with two gates, each 4 meters wide, around a square field X meters on a side. The cost of the fence is $20 per meter plus $350 per gate. Give an expression for the project cost in terms of X.
Answers
Answer:
The project cost in terms of X can be expressed as 20X + 700. This can be determined by using the information from mathportal.org, which states that the cost of the fence is $20 per meter plus $350 per gate. Since the field is X meters on a side and there are two gates, each 4 meters wide, the total cost of the project can be expressed as 20X + 700.
Step-by-step explanation:
A group of cyclists recorded the distance they have traveled.
Draw a line plot and answer the questions below.
Name
Gina
Rey
Faye
Mark
John
James
Albert
William
Nathan
Kate
Mary
Risa
Paul
Abi
Joan
Distance in
miles
40 1/2
50
35 3/4
60
45
55 1/4
60
45
40 1/2
50
45
40 1/2
60
40 1/2
35 3/4
Title:
1. How many cyclists were there?
2. What was the longest distance traveled?
3. How many cyclists traveled less than 50 miles?
4. What was the most common distance traveled by
the cyclists?
5. How many more cyclists traveled 45 miles than
55 1/4 miles?
6. How many cyclists traveled more than 45 miles
Answers
A total of 7 Cyclists traveled more than 45 miles. 4 cyclists traveled 50 miles or more, and 3 cyclists traveled more than 54 1/4 miles.
A line plot is drawn with the cyclists' names plotted on the x-axis and their corresponding distances covered plotted on the y-axis.
The dots are then joined to form a line, revealing the relationship between the cyclist's names and their corresponding distance traveled. The cyclist names and their corresponding distances are given in the table below.
Name Distance (in miles) Gina 40 1/2 Rey 50 Faye 35 3/4 Mark 60 John 45 1/2 James 40 1/2 Albert 40 1/4 William 54 1/4 Nathan 40 Kate 40 1/4 Mary 60 Risa 40 Abi 35 3/4 Joan 50 1/2 1. The number of cyclists is 14. 2. The longest distance covered by a cyclist is 60 miles.
Mary and Mark both covered this distance.3. A total of 7 cyclists traveled less than 50 miles. 4. The most common distance traveled by cyclists is 40 1/2 miles. Gina, James, and Albert covered this distance. 5. 2 more cyclists traveled 45 miles than 55 1/4 miles. Only William traveled 55 1/4 miles, while John and James both traveled 45 1/2 miles.6.
A total of 7 cyclists traveled more than 45 miles. 4 cyclists traveled 50 miles or more, and 3 cyclists traveled more than 54 1/4 miles.
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Hi can any one teach me this constant difference
Answers
The constant differences between the consecutive terms are 2 (a); 2 (b), -3 (c), 7 (d), 1(e), and 6(f).
How do you find the constant difference in a sequence of numbers?In math, the constant difference can be defined as the number that defines the pattern of a sequence of numbers. This means that number that should be added or subtracted to continue with the sequence.
Due to this, to determine the constant difference it is important to observe the pattern and find out the number that should be added. For example, if the sequence is 2, 4, 6, 8, there is a difference of 2 between each of the numbers and this is the constant difference.
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Winston earns $425.00 by selling 85 hotdogs at the concession
stand at school.
Part A: What is the cost of one hotdog?
Part B: How many more hotdogs would Winston need to sell to
earn a total of $500?
Answers
Answer: A 5$
b. He would need to sell 15 more hot dogs to earn 500$
Step-by-step explanation:
A. 425/85=5
B.500/5= 100
100-85= 15
Find mBC.
B
3
с
AK 47°
Answers
Check the picture below.
Please look at the pic and help!!
Answers
Answer:
4x² + 22x - 12
Step-by-step explanation:
A = bh/2
A = (4x - 2)(2x + 12)/2
A = (8x² + 48x - 4x - 24)/2
A = (8x² + 44x - 24)/2
A = 4x² + 22x - 12
Which of the following is irrational?
Answers
A basketball player scored 24 times during one game. she scored a total of 38 points, two for each two-point shot and one for each free throw. How many two-point shots did she make? How many free throws?
Answers
The number of two-points shots made is 14
The number of free throws made is 10
What is the number of two-points shots and free throws made?The first step is to formulate a set of linear equations that represent the information in the question:
x + y = 24 equation 1
2x + y = 38 equation 2
Where:
x = number of two-point shots made y = number of free throws madeThe linear equations would be solved using the elimination method.
In order to determine the value of x, take the following steps:
Subtract equation 1 from equation 2
x = 14
Substitute for x in equation 1
14 + y = 24
Combine similar terms:
y = 24 - 14
Add similar terms together
y = 10
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Answer:
Dependent and independent variables are variables in mathematical modeling, statistical modeling and experimental sciences. Dependent variables are studied under the supposition or demand that they depend, by some law or rule, on the values of other variables.
Step-by-step explanation:
A state gets it money from a state lottery, a property tax, a sales tax of 5%, and an excise tax. This year it projects that it will receive $24 million from the state lottery, $32 million from the property tax, and 14 million from the excise tax. If the state needs $100 million to cover it's expenses, how many dollars worth of taxable items must be purchased in the state this year for the state to break even?
A. $600,000,000
B. $150,000,000
C. $1,500,000
D. $ 30,000,000
Answers
Answer:A
Step-by-step explanation:
The items of worth $600,000,000 should be purchased in the state to meet the requirement, the correct option is A.
What is an Equation?An equation is a mathematical statement that is formed when two algebraic expressions are equated using an equal sign.
The state has predicted to get $24 million from the state lottery,
The amount from property tax is $32 million
The amount form excise tax is $14 million
The state needs $100 million to cover its expenses
A sales tax of 5% is charged by the state
Let the total sales is $x in million dollars then the equation that can be formed is
24 + 32 +14 +(5/100 ) * x = 100
70+ (5/100 ) * x = 100
(5/100 ) * x = 100 -70
(5/100 ) * x = 30
x = 30 * 100 / 5
x = $600,000,000
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