Round this number 15,680
Abcd is a rectangle. Find the length of each diagonal. .AC= 3y/5 BD=3y-4
Answer:
AC = BD = 1 unit
Step-by-step explanation:
Given : length of diagonal of rectangle ABCD [tex]AC=\frac{3y}{5}[/tex] and [tex]BD=3y-4[/tex]
We have to find the length of diagonal.
We know In rectangle diagonal are of equal lengths.
Therefore, for rectangle ABCD diagonals AC= BD
Substitute the values, we get,
[tex]\frac{3y}{5}=3y-4[/tex]
Cross multiply , we get
[tex]3y=5(3y-4)[/tex]
On simplyfy , we get
[tex]3y=15y-20[/tex]
Solve for y , we get
[tex]15y-3y=20[/tex]
[tex]12y=20[/tex]
Divide both side by 12, we get,
[tex]y=\frac{20}{12}=\frac{10}{6}[/tex]
Thus, put the values of y in AC and BD to find the length of diagonals , we get,
[tex]AC=\frac{3y}{5}=\frac{3}{5}\times\frac{10}{6}=1[/tex]
Similarly for BC, we get,
[tex]BD=3y-4=3(\frac{10}{6})-4=5-4=1[/tex]
Thus, AC = BD = 1 unit
What does the inequality x + 3 ≤ 2 say?
A number and three is at most two.
A number and three is less than two.
A number and three is at least two.
A number and three is no less than two.
Answer:
A number and three is at most 3.
Step-by-step explanation:
A, 4, D, H, 16, M, 25, _, _ What are the next two in the sequence?
The sequence alternates between letters and squares of integers. The letters seem to follow a particular positional increment pattern, and the numbers are squares of consecutive positive integers. The missing elements in the sequence are R and 36.
The given sequence is: A, 4, D, H, 16, M, 25, _, _. This sequence appears to have two separate patterns interleaved. One pattern is a sequence of letters and the other is a sequence of numbers. For the letters part, A (1st letter), D (4th letter), H (8th letter), M (13th letter), so the next letters might follow an increasing pattern with the position of the letters in the alphabet. For the numbers, we have 4, 16, 25 which are squares of 2, 4, and 5 respectively. To solve for the next elements in the pattern, we would have to decipher the rule that connects the letters with their positions and the next squares of numbers.
The numbers are squares of consecutive positive integers: 2², 4², 5². The next number is 6² which is 36. Following the pattern in letters, after M (the 13th letter), the next letter should be the letter that is five positions ahead because the interval between the previous letters increased by 3 each time (D is 3 letters after A, H is 4 letters after D, M is 5 letters after H), so the next letter should be R (the 18th letter, which is 5 letters after M).
Therefore, the sequence should continue with R, 36.
If x =4 calculate the value of 2x squared - 5
isabella bought 1.1 kilograms of top quality hamburger meat at $5.00 per kilogram. how much did it cost?
The cost of 1.1 kilograms of hamburger meat at $5.00 per kilogram is $5.50
Multiply the weight of the meat (1.1 kg) by the price per kilogram ($5.00):
1.1 kg x $5.00/kg = $5.50.
Therefore, it cost Isabella $5.50 to buy 1.1 kilograms of top-quality hamburger meat.
Your poor health causes you to miss one work day every two weeks. You do not get paid when you are out sick. You normally work 8 hours a day and get paid $9.29 per hour. How much pay are you losing each year
The annual loss of income due to missing one work day every two weeks at $9.29 per hour, working 8 hours per missed day, is $1,932.32.
Explanation:To calculate the amount of pay being lost each year due to missing one work day every two weeks, we need to consider the weekly work schedule and hourly wage.
Step-by-Step CalculationThe annual loss of income due to missing one day of work every two weeks at an hourly wage of $9.29 is $1,932.32.
NEED YOUR HELP!! I WILL UPVOTE!
Combining Like Terms:
Solve the equations by combining like terms. Show all the steps.
Then write two of your own problems where you combine like terms. Show all steps, as well as your solution.
1. 16x − 4x = -48
The perimeter of dawna's new flat screen television is 70 inches. the ration from length to width is 4:3. write and solve an algebraic equation to determine the dimensions of the television
A sweater that originally cost $40 is on sale for 10 percent off. What is the amount of the discount?
$2
$4
$30
$36
Answer:
B) $4
Step-by-step explanation:
find two consecutive odd integers whose sum is -88
A painting measures 15 cm long by 24 cm high. You buy two posters, each showing an enlargement of the painting. The first poster measures 45 cm long by 72 cm high. The second poster measures 97.5 cm long by 156 cm high. Which of the following is true? (Hint: To be an accuarate representation of the painting, would the the poster be similar to the painting?)
I had the same thing. Please mark as Brainiest Answer.
Answer:
Both posters ARE accurate representations of the painting
Step-by-step explanation:
Gradpoint
Find the missing number in this proportion.
7 / 35 = ? / 28
To find the missing number in the proportion 7 / 35 = ? / 28, we can use the concept of cross-multiplication. The missing number is 5.6.
Explanation:To find the missing number in the proportion 7 / 35 = ? / 28, we can use the concept of cross-multiplication. Cross-multiplication involves multiplying the numerator of one fraction by the denominator of the other fraction, and then setting the two products equal to each other. In this case, we have 7 * 28 = ? * 35. Solving for the missing number, we get:
So, the missing number is 5.6.
Antarctica comprises about 10.5% of the total land area on Earth. Antarctica has a surface area of about 5,400,000 square miles. What is the total land area on Earth?
If 3x-1=11, then 2x=?
To find 2x, we first need to solve for x in the equation 3x - 1 = 11. We isolate x by adding 1 to both sides and divide by 3 to obtain x = 4. Finally, multiplying x by 2 gives us 2x = 8.
Explanation:To solve the equation 3x - 1 = 11 for 2x, we need to isolate x first. Adding 1 to both sides, we get 3x = 12. Dividing both sides by 3, we find that x = 4. Now, to find 2x, we simply multiply x by 2, which gives us 2(4) = 8.
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The sales tax rate in jans town is 7.5.if she buys 3 lamps for $23.59 each and a sofa for $769.99 , how much sales tax does she own ?
you have a full job that pays 2400 per month you decide to take a part time job delivering newspapers that pay 200 per week if 15% is withheld for taxes from both jobs how much would you make in a year after taxes
Which pair of variables has a clear causal link between the two named variables?
the number of hats sold and the number of mittens sold in a city
the amount of butter and the amount of bread consumed by a family
the number of notebooks sold and the number of pens sold in a stationery store
the number of air conditioners sold per day in a city and the daily temperature
the number of hours a person can swim and the depth of the pool
NextReset
Answer: The number of air conditioners sold per day in a city and the daily temperature
Step-by-step explanation:
We know that if there is a causal relationship between two variables then one variable is responsible for causing the other variable.
the number of hats sold and the number of mittens sold in a city.there is no causal relationship between the variables since both are independent variables.
the amount of butter and the amount of bread consumed by a family .there is no causal relationship between the variables since both are independent variables.
the number of notebooks sold and the number of pens sold in a stationery store .there is no causal relationship between the variables since both are independent variables.
the number of air conditioners sold per day in a city and the daily temperature .there can be causal relationship between the variables since by increasing or decreasing temperature the the number of air conditioners sold per day in a city can be increased or decreased respectively.
the number of hours a person can swim and the depth of the pool.there is no causal relationship between the variables since both are independent variables.
Arrange the following polynomial into descending order for x, then interpret the degree of the 2nd term.
7x3y3 + 4 − 11x5y2 − 3x2y
Answer:
Always double check first but I am pretty sure that it is 6
The relationship between the number of $4 lunches you buy with a $100 school lunch card and the money remaining on the card
(State wether the graph of the linear relationship is a solid line or a set of unconnected points.
Factor completely: 2x2 + 6x − 80
(2x − 5)(x + 8)
(2x − 10)(x + 8)
2(x − 5)(x + 8)
2(x − 10)(x + 8)
...?
Quadratic functions are functions that has a degree of 2. The factored form of the function is (2x-10)(x+8)
Factorization of functionsQuadratic functions are functions that has a degree of 2. Given the function below;
2x^2 + 6x - 80
Factorize
2x^2+16x - 10x - 80
Group
(2x^2+16x)-(10x+80)
Factor out the GCF
2x(x + 8)-10(x+8)
(2x-10)(x+8)
Hence the factored form of the function is (2x-10)(x+8)
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The number 72 is between what two perfect squares? Enter a numerical answer only.
Integrate sin^-1(x) dx
please explain how to do it aswell ...?
Which function has the greatest y-intercept? (2 points)
f(x)
g(x)
h(x)
All three functions have the same y-intercept.
The function h(x) has the greatest y-intercept of 8, as it crosses the y-axis at the highest point.
Explanation:The function that has the greatest y-intercept is the one that crosses the y-axis at the highest value. The y-intercept is the point where the graph of a function intersects the y-axis, which is when x = 0. So, to find the function with the greatest y-intercept, we need to evaluate the y-value when x = 0 for each function.
Let's consider the functions f(x), g(x), and h(x). If f(x) has an equation of y = 3x + 5, g(x) has an equation of y = x - 2, and h(x) has an equation of y = -2x + 8, we can plug in x = 0 and see which function gives us the greatest y-value.
For f(x), when x = 0, y = 3(0) + 5 = 5. For g(x), when x = 0, y = 0 - 2 = -2. And for h(x), when x = 0, y = -2(0) + 8 = 8. Thus, h(x) has the greatest y-intercept because it crosses the y-axis at the highest point, which is 8.
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Find the area of a regular hexagon with the given measurement.
2 sqrt3 apothem
A =
...?
Answer:
41.57 unit²
Step-by-step explanation:
We know,
Area of a regular hexagon = [tex]3\times (sidelength)\times (apothem)[/tex].
The length of the apothem = [tex]2\sqrt{3}[/tex] units.
Since, we know, 'a regular hexagon splits into 6 identical equilateral triangles'.
As, the apothem of the regular hexagon = height of the equilateral triangle
So, height of the equilateral triangle = [tex]2\sqrt{3}[/tex] units.
As, in the equilateral triangle, 'One of the side length is the S, other will be [tex]\frac{S}{2}[/tex] and height is [tex]2\sqrt{3}[/tex] units'.
So, using Pythagoras Theorem, we have,
[tex]hypotenuse^{2}=perpendicular^{2}+base^{2}[/tex]
i.e. [tex]S^{2}=(\frac{S}{2})^{2}+(2\sqrt{3})^{2}[/tex]
i.e. [tex]S^{2}=\frac{S^2}{4}+12[/tex]
i.e. [tex]S^{2}-\frac{S^2}{4}=12[/tex]
i.e. [tex]\frac{3S^2}{4}=12[/tex]
i.e. [tex3S^2=48[/tex]
i.e. [texS^2=16[/tex]
i.e. S= 4 units
That is, the side length of the hexagon = 4 units.
Thus, the area of the hexagon is given by,
Area of a regular hexagon = [tex]3\times (4)\times (2sqrt{3})[/tex]
i.e. Area of a regular hexagon = [tex]12\times (2sqrt{3})[/tex]
i.e. Area of a regular hexagon = [tex]24sqrt{3}[/tex]
i.e. Area of a regular hexagon = 41.57 unit²
Hence, the area of the regular hexagon is 41.57 unit².
What is the general term for the sequence 1,6,11,16,...?
n + 5
5n - 4
5n + 1
Answer:
Step-by-step explanation:
The given sequence is:
1,6,11,16,...
Since, the sequence is Arithmetic progression, therefore
The general term for the sequence is:
[tex]A_{n}=a+(n-1)d[/tex]
where a is the first term of the sequence and d is common difference.
Substituting the given values, we get
[tex]A_{n}=1+(n-1)5[/tex]
[tex]A_{n}=1+5n-5[/tex]
[tex]A_{n}=5n-4[/tex]
which is the required general term.
Thus, option B is correct.
. SOMEONE PLEASE HELP ME?!?!
5. This is the Reed family budget. How much discretionary income does the family have each month?
Housing $800.00
Groceries $425.00
Utilities $285.00
Miscellaneous $120.00
Transportation $150.00
Insurance $286.00
Savings $200.00
Healthcare $60.00
Clothing $50.00
Total Expenses $2,376.00
Net income $2,850.00
$______
8. Paula created a monthly budget. A pie graph shows a clear picture of where her money is spent. How much of the circle would be shaded for the total of housing, utilities, food, and insurance?
Housing $500.00
Insurance $283.00
Food $225.00
Utilities $174.00
Miscellaneous $75.00
Transportation $64.00
Clothing $50.00
Medical $25.00
Savings $20.00
10. You are making a pie graph of the expenses in the Reed family budget. How much of the pie graph would be used to represent the amount spent on housing?
Housing $800.00
Utilities $285.00
Groceries $425.00
Miscellaneous $120.00
Transportation $150.00
Insurance $286.00
Savings $200.00
Healthcare $60.00
Clothing $50.00
Total Expenses $2,376.00
Net income $2,850.00
A. half of the circle
B. less than half
C. over 75% of the circle
D. 50% to 75%
Total Expenses $1,416.00
A. half of the circle
B. less than half
C. over 75% of the circle
D. 50% to 75%
If your teacher tells you to do questions 28 through 41 in your math book for homework, how many questions is that?
(Do not include units in your answer.)
Answer:
14 questions.
Step-by-step explanation:
We have been given that your teacher tells you to do questions 28 through 41 in your math book for homework. We are asked to find he total number of questions.
Since we need to solve questions 28 through 41, this means we have to solve question number 28 and 41 as well.
We know that 28-37 would be 10 questions and 38-41 would be 4 questions.
[tex]\text{Total questions}=10+4[/tex]
[tex]\text{Total questions}=14[/tex]
Therefore, you need to solve 14 questions to complete the homework.
Damion found a new game system he wanted to buy. the price of the system was reduced from $250 to $200. by what percentage was the price reduced?
An open box with a volume of 1500 cm cube is to be constructed by taking a piece of cardboard 20 cm by 40 cm, cutting squares of side length x cm from each corner, and folding up the sides. Find the exact dimensions of the box.