A sidewalk forms the diagonal of a square park. The sidewalk is 30 meters long. To the nearest tenth of a meter, how long are the sides of the park ?
Answers
900 = 2A²
A^2 = 450
Taking the square root of 450, we find that the lengths of A and B are roughly 21.2 meters.
Length of the Diagonal l = 30 m
Formula for the length of the diagonal of a square l = square root of 2 x s; s being the side.
Therefore square root of 2 x s = 30 => s = 30 / square root of 2 = 30 / 1.414 Side of the Square s = 21.21 m
Related Questions
Your assigned 32 math exercises for homework you complete 87.5of these before dinner how many do you hav to do after dinner.
Answers
32 - 28 = 4
so there are 4 questions to be done after dinner.
Find the area of the given triangle. Round the answer to the nearest tenth.
A.
7.9 square units
B.
149.4 square units
C.
2,055.6 square units
D.
2,071.8 square units
Answers
A = √(p(p-a)(p-b)(p-c)) where a,b,c are the sides of the triangle and p is half the perimeter.
The answer is B. 149.4 square units.
Answer:
B) Area of triangle = 149.4 square units.
Step-by-step explanation:
Given : A triangle with sides 16 , 19, 27 .
To find : Area of a triangle.
Solution : We have given that triangle with sides 16 , 19, 27 .
Using heron's formula :
Area of triangle: [tex]\sqrt{s(s-a)(s-b)(s-c)}[/tex].
Where, s = [tex]\frac{a+b+c}{2}[/tex] and a,b,c are sides of triangle.
Then s = [tex]\frac{16+19+27}{2}[/tex].
s = 31 units.
Area of triangle = [tex]\sqrt{31(31-16)(31-19)(31-27)}[/tex].
Area of triangle = [tex]\sqrt{31(15)(12)(4)}[/tex].
Area of triangle = [tex]\sqrt{22320)}[/tex].
Area of triangle = 149.39 square units.
Area of triangle = 149.4 square units. ( nearest tenth)
Therefore, B) Area of triangle = 149.4 square units.
Ella sold 37 necklaces for $20 each at the craft fair. She is going to donate half of the money she earned to charity. Use the Commutative Property to mentally find how much money she will donate. Explain the steps you used.
Answers
Ella sold 37 necklaces for $20 each at the craft fair. She is going to donate half of the money she earned to charity. Use the Commutative Property to mentally find how much money she will donate. Explain the steps you used.
Solution:
Earning from 1 necklace=$20
Earning from 37 necklaces=$20*37
Half of the earnings= [tex] \frac{20*37}{2} =\frac{20}{2}*37=10*37 [/tex]
Half of the earnings=$10*37
Now, Applying Commutative Propert, a*b=b*a
So, Money she need to donate= Half of the earnings= 10*37 =37*10
So, Money she donates=$370
money she will donate=$370
WILL MARK BRAINLIEST! - Miguel is calculating the slope of a line of best-fit in the scatterplot below.
(Graph Below)
Which pair of points would be best for Miguel to use?
A. P and W
B. Q and V
C. R and U
D. S and T
Answers
Answer:
I thing its B
Step-by-step explanation:
Just trust
Answer:
"Q and V" should be correct.
Step-by-step explanation:
The data points by themselves create a line formation, all the other choices no good.
In other-words~ "B"
o_o
Danielle poured 3/4 gallon of water from a 7/8 gallon bucket. How much water is left in the bucket?
Answers
= 7/8 - 6/8
= 1/8
1/8 gallon
An equation was created for the line of best fit from actual enrollment data. It was used to predict the dance studio enrollment values shown in the table below:
Enrollment Month
January February March April May June
Actual 12 14 14 13 16 14
Predicted 8 15 15 12 17 15
Residual 4 −1 −1 1 −1 −1
Analyze the data. Determine whether the equation that produced the predicted values represents a good line of best fit.
No, the equation is not a good fit because the sum of the residuals is a large number.
No, the equation is not a good fit because the residuals are all far from zero.
Yes, the equation is a good fit because the residuals are all far from zero.
Yes, the equation is a good fit because the sum of the residuals is a small number.
Answers
Answer: No, the equation is not a good fit because the sum of the residuals is a large number.
Step-by-step explanation:
A residual is the difference on the scatter plot between the actual y-value and the predicted y-value from the regression line equation.
It is the vertical distance from the actual plotted point to the point on the regression line.
The residual is positive then the data point is above the graph.
The sum of the given residual values = [tex]4+(-1)+(-1)+1+(-1)+(-1)=1[/tex]
Since, the sum of the residuals is greater than 0.
Therefore, The equation is not a good fit .
Answer:
A. No, the equation is not a good fit because the sum of the residuals is a large number.
Step-by-step explanation:
In a parking lot of 240 red and blue cars, the ratio of red cars to blue cars is 3 : 5.
How many red cars are in the parking lot?
Answers
3+5 = 8
240/8 = 30
30*3 = 90 red cars
A $250,000 home loan is used to purchase a house. The loan is for 30 years and has a 5.4% APR. Use the amortization formula to determine the amount of the monthly payments.
Answers
[tex]\bf pymt=250000\left[ \cfrac{\frac{0.054}{12}}{1-\left( 1+ \frac{0.054}{12}\right)^{-12\cdot 30}} \right] \\\\\\ pymt=250000\left[ \cfrac{0.0045}{1-\left( 1.0045\right)^{-360}} \right] \\\\\\ pymt\approx 250000\left[ \cfrac{0.0045}{0.80138080852472389274} \right][/tex]
WILL GIVE A BRAINLESTTTT
What is the solution of 3x+8/x-4 >= 0
Answers
Using that a fraction is greater than or equal to zero when the numerator and denominator have the same sign:
a/b>=0. Then we have two cases:
Case 1) If the numerator is positive, the denominator must be positive too (at the same time):
if a>=0 ∩ b>0
Or (U)
Case 2) If the numerator is negative, the denominator must be negative too (at the same time):
if a<=0 ∩ b<0
In this case a=3x+8 and b=x-4, then:
Case 1):
if 3x+8>=0 ∩ x-4>0
Solving for x:
3x+8-8>=0-8 ∩ x-4+4>0+4
3x>=-8 ∩ x>4
3x/3>=-8/3 ∩ x>4
x>=-8/3 ∩ x>4
Solution Case 1: x>4 = (4, Infinite)
Case 2):
if 3x+8<=0 ∩ x-4<0
Solving for x:
3x+8-8<=0-8 ∩ x-4+4<0+4
3x<=-8 ∩ x<4
3x/3<=-8/3 ∩ x<4
x<=-8/3 ∩ x<4
Solution Case 2: x<=-8/3 = (-Infinite, -8/3]
Solution= Solution Case 1 U Solution Case 2
Solution = (4, Infinite) U (-Infinite, -8/3]
Solution: (-Infinite, -8/3] U (4, Infinite)
Answer:
The inequality is given to be :
[tex]\frac{3x+8}{x-4}\geq 0[/tex]
The inequality will be greater than or equal to 0 if and only if both the numerator and denominator of the left hand side will have same sign either both positive or both negative.
CASE 1 : Both positive
3x + 8 ≥ 0
⇒ 3x ≥ -8
[tex]x\geq \frac{-8}{3}[/tex]
Also, x - 4 ≥ 0
⇒ x ≥ 4
Now, Taking common points of both the values of x
⇒ x ∈ [4, ∞)
CASE 2 : Both are negative
3x + 8 ≤ 0
⇒ 3x ≤ -8
[tex]x\leq \frac{-8}{3}[/tex]
Also, x - 4 ≤ 0
⇒ x ≤ 4
So, Taking common points of both the values of x we have,
[tex]x=(-\infty,-\frac{8}{3}][/tex]
So, The solution of the equation will be the union of both the two solutions
So, Solution is given by :
[tex]x=(-\infty,-\frac{8}{3}]\:U\:[4,\infty)[/tex]
2. Consider this scatter plot.
(a) How would you characterize the relationship between the hours spent on homework and the test scores? Explain.
(b) Paul uses the function y = 8x + 40 to model the situation. What score does the model predict for 3 h of homework?
(c) What does the number 40 in Part (b) mean in the context of the situation?
Answers
For this case what we see is that we have a scatter diagram, which we can model using a linear trend defining the following variables:
x: number of hours studied.
y: test scores.
The linear relationship would be of the form:
y = mx + b
(b) Paul uses the function y = 8x + 40 to model the situation. What score does the model predict for 3 h of homework?
y = 8x + 40
For three hours of study we have that the note would be approximately:
y = 8 * (3) + 40
y = 64
(c) What does the number 40 in Part (b) mean in the context of the situation?
The number 40 means that if you do not devote any study time, then you expect the test score to be 40.
(a) The relationship between hours spent on homework and test scores is a positive correlation, where more homework is generally associated with higher test scores.
(b) The model predicts a score of 64 for 3 hours of homework.
(c) The number 40 represents the baseline test score when no homework is done, according to the model.
Analyzing the Scatter Plot and the Model
(a) Characterizing the Relationship
The scatter plot depicts test scores in relation to the hours of homework. Here’s how we can characterize the relationship:
- Positive Correlation: There is a general upward trend, indicating that as the hours of homework increase, the test scores also tend to increase.
- Strength: The points are not perfectly aligned, but there is a noticeable positive correlation, suggesting that more homework hours are associated with higher test scores.
- Outliers: Most points follow the trend, although there are a few variations. For example, there are a couple of points with low homework hours but relatively high test scores.
(b) Predicting the Score for 3 Hours of Homework
Paul uses the function [tex]\( y = 8x + 40 \)[/tex] to model the relationship, where [tex]\( y \)[/tex] represents the test score and [tex]\( x \)[/tex] represents the hours of homework.
To predict the score for 3 hours of homework:
[tex]\[y = 8(3) + 40 = 24 + 40 = 64\][/tex]
So, the model predicts a score of [tex]\( \boxed{64} \)[/tex] for 3 hours of homework.
(c) Meaning of the Number 40 in the Model
In the context of the situation, the number 40 in the equation [tex]\( y = 8x + 40 \)[/tex] represents the y-intercept. This implies:
- Baseline Score: If a student spends 0 hours on homework, the model predicts that they would score 40 on the test. This serves as a baseline score, indicating the minimum test score a student could achieve without any homework.
Summary
(a) The relationship between hours spent on homework and test scores is a positive correlation, where more homework is generally associated with higher test scores.
(b) The model predicts a score of 64 for 3 hours of homework.
(c) The number 40 represents the baseline test score when no homework is done, according to the model.
Will mark brainiest
According to the chart, from 1996-2006, unintentional drug overdose deaths per 100,000 population rose dramatically. The numbers for each year are, roughly, 3, 3, 3, 4, 4, 5, 6, 6, 7, 9, 9. What is the mean of these statistics?
5.36
59
59.36
5
Answers
59/11=5.36
so your mean is 5.36
The answer to your question is A) 5.36
Hope this helps :)
Abit is planning a birthday party for his grandfather. He bought a cake for $18. He also wants to buy some balloons, which are $4 each. Abit has $35 to spend all together. How much money will Abit have left after he buys the cake and as many balloons as possible?
Answers
After buying the cake,
$35 - $18 = $17
Number of balloons he can buy:
17 ÷ 4 = 4.25
So, he can buy 4 balloons.
4 ballons = 4x4 = $16
So amount left = $17 - $16 = $1
The number 4 can fit into the number 17 4 times. 4 x 4 = 16
Therefore, Abit will only have $1 left over.
How is locating -1.5 on a number line the same as locating 1.5 on a number line? How is it different?
Answers
Locating -1.5 and 1.5 on a number line involves measuring 1.5 units from the origin, but in opposite directions; -1.5 is to the left and 1.5 is to the right.
Locating -1.5 on a number line is similar to locating 1.5 in that you measure the same distance away from the origin (0 point), which is 1.5 units. The main difference is the direction in which you measure from the origin. For -1.5, you would move 1.5 units to the left of the origin since negative numbers are represented to the left on a number line. On the other hand, for 1.5, you would move 1.5 units to the right of the origin because positive numbers are placed to the right.
Another perspective of understanding this concept comes from the coordinate system. If you stand on a straight line and choose a point as the origin, moving to the left will give you the negative coordinates, whereas moving to the right will give you the positive coordinates. Regardless of which side you choose, the absolute value of your position from the origin remains the same; only the sign changes to reflect the direction.
Peter is making an "X marks the spot" flag for a treasure hunt. The flag is made of a square white flag with sides of 121212 inches. He will make the "X" by stretching red ribbon diagonally from corner to corner.How many inches of ribbon will Peter need to make the "X"?
Answers
Peter needs approximately 34 inches of ribbon to create an 'X' across his 12-inch square flag, calculated using the Pythagorean theorem to find the length of the diagonals needed for the 'X'.
Explanation:Peter is making an "X marks the spot" flag, which requires calculating the amount of ribbon needed to create the 'X'. The flag is a square with sides of 12 inches each. For an 'X', two ribbons will be needed, each stretching diagonally across the square. The diagonal length of a square can be determined using the Pythagorean theorem, which states that in a right-angled triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. In this case, the square has sides of 12 inches, making the formula for the diagonal:
d = √(12^2 + 12^2) = √(144 + 144) = √288 ≈ 16.97 inches.
Since Peter needs two diagonals to form the 'X', the total ribbon length will be 2 × 16.97 inches, which equals 33.94 inches. Therefore, Peter will need approximately 34 inches of ribbon to create the 'X' on his flag.
MEDAL!
This Chinese painting is composed small cliffs in the background and a small building with trees in the foreground. This composition reflects what Taoist and Buddhists principle or philosophy?
a) simplicity
b) perseverance
c) harmony
or...
d) balance
btw- I know this is in the wrong section but no one was answering it in the art history section
Answers
Which foundation drawing matches this orthographic drawing? ( just tell me what picture)
Answers
***mathtest timed***
Given the data set for the length of time a person has been jogging and the person's speed, hypothesize a relationship between the variables.
A) I would expect the data to be positively correlated.
B)I would expect the data to be negatively correlated.
C) I would expect no correlation.
D) There is not enough information to determine correlation.
Answers
Write the quadratic equation whose roots are −4 and 3 , and whose leading coefficient is 1 .
Answers
the roots are
x=-4
x=3
leading coefficient=1
therefore
(1)*(x+4)*(x-3)=0-----------------> x²-3x+4x-12=0
x²+x-12=0
the answer is
x²+x-12=0
Final answer:
To write a quadratic equation with roots −4 and 3 and a leading coefficient of 1, we start with the factored form (x - root1)(x - root2) = 0, substitute the given roots, and simplify to x² + x - 12 = 0.
Explanation:
The question asks us to write the quadratic equation whose roots are −4 and 3, and whose leading coefficient is 1. To find a quadratic equation given its roots, we can use the factored form of a quadratic equation, which is (x - root1)(x - root2) = 0, where root1 and root2 are the roots of the equation.
Given that the roots are −4 and 3, we substitute these values into the equation to get (x - (−4))(x - 3) = 0. Simplifying this, we first eliminate the double negative to get (x + 4)(x - 3) = 0. Multiplying these two binomials gives us the expanded form, which is x² + x - 12 = 0. This is the quadratic equation with roots −4 and 3, and a leading coefficient of 1.
A car travels 3 times around a traffic circle whose radius is 80 feet. What is the distance the car will travel? Use 3.14 for π . Enter your answer in the box. ft
Answers
Answer : Distance will be 1507.2 feet .
Explanation :
Since we have given that
Radius of circle = 80 feet
So,
Circumference of circle is given by
[tex]2\pi r=2\times 3.14\times 80=502.4 \text{ feet}[/tex]
Since , a car travels 3 times around a traffic circle.
So,
[tex]\text{ Distance covered by the car will travel}= 3\times 502.4= 1507.2 \text{ feet }[/tex]
So, Distance will be 1507.2 feet .
what is the measure of < A? sorry that the pic is backwards. and btw the C aangle is 40 degrees.
Answers
The legs of a right triangle measure 4 and 6 inches. The area of the triangle is
5 in.²
12 in.²
24 in.²
Answers
Area = .5* 24
Area = 12 square inches
Answer:
Area of triangle is 12 in.²
Step-by-step explanation:
we are given that:
The legs of a right triangle measure 4 and 6 inches.
(i.e. height and base of right angled triangle)
We have to find the area of this triangle.
area of triangle=[tex]\dfrac{1}{2}\times base\times height[/tex]
=[tex]\dfrac{1}{2}\times 4\times 6[/tex]
= 12 in.²
Hence, Area of triangle is 12 in.²
At the beginning of the day, stock XYZ opened at $3.15. At the end of the day, it closed at $2.87. What is the rate of change of stock XYZ?
Answers
Answer:
-8.9%
Step-by-step explanation:
Answer:
The rate of change is - 8.89 %.
Step-by-step explanation:
Given,
The opening price = $ 3.15,
While closing price = $ 2.87,
Now,
[tex]\text{The rate of change}=\frac{\text{closing price-opening price}}{\text{opening price}}\times 100[/tex]
[tex]=\frac{2.87-3.15}{3.15}\times 100[/tex]
[tex]=\frac{-0.28}{3.15}\times 100[/tex]
[tex]=-\frac{28}{3.15}=-8.8889\%\approx -8.89 \%[/tex]
A new car is purchased for 20700 dollars. The value of the car depreciates at 13.75% per year. What will the value of the car be, to the nearest cent, after 12 years?
Answers
Answer:
USD 3,508.16
Step-by-step explanation:
Hello
Let´s see what happens the first year when the car depreciates 13.75% of 20700 USD
[tex]depreciation=20700*\frac{13.75}{100} =2846.25 USD\\[/tex]
at the end of the first year the car will have a price of 20700-2486.25=17853.75 USD, and this will be the price at the beginning of the second year.
completing the data for the 12 years with the help of excel you get
depreciation New Value
end of year 1 USD 20,700.00 USD 2,846.25 USD 17,853.75
end of year 2 USD 17,853.75 USD 2,454.89 USD 15,398.86
end of year 3 USD 15,398.86 USD 2,117.34 USD 13,281.52
end of year 4 USD 13,281.52 USD 1,826.21 USD 11,455.31
end of year 5 USD 11,455.31 USD 1,575.10 USD 9,880.20
end of year 6 USD 9,880.20 USD 1,358.53 USD 8,521.68
end of year 7 USD 8,521.68 USD 1,171.73 USD 7,349.94
end of year 8 USD 7,349.94 USD 1,010.62 USD 6,339.33
end of year 9 USD 6,339.33 USD 871.66 USD 5,467.67
end of year 10 USD 5,467.67 USD 751.80 USD 4,715.87
end of year 11 USD 4,715.87 USD 648.43 USD 4,067.43
end of year 12 USD 4,067.43 USD 559.27 USD 3,508.16
after 12 years the car will ha a value of USD 3508.16
you can verify this by applying the formula
[tex]v_{2} =v_{1} (1-\frac{depreciatoin}{100} )^{n} \\\\v_{2} =20700 (1-\frac{13.75}{100} )^{12} \\v_{2} = 20700*0.1694\\v_{2} = 3508.16 USD[/tex].
Have a great day.
The value of a new car, originally priced at $20,700 and depreciating at 13.75% per year will be approximately $1446.63 after 12 years. This is calculated using a compound interest formula with a negative rate.
Explanation:In order to solve this, we are going to use the formula for compound interest. Although we're actually dealing with depreciation, the calculation is the same as for interest, we just use a negative rate. The formula is P(t) = P0 * (1 + r) ^t, where P(t) is the value of the car after time t, P0 is the initial price of the car, r is the rate of depreciation, and t is time.
Here P0 = $20,700, r = -13.75% = -0.1375 (remember to convert rate from percentage to a proportion), and t = 12 years.
Substituting these values into the formula, we get: P(t) = 20700 * (1 - 0.1375)^12. Using a calculator, the value of the car after 12 years, to the nearest cent, is approximately $1446.63.
Learn more about Depreciation here:https://brainly.com/question/33528280
#SPJ11
Factor this expression completely, and, then, place the factors in the proper location on the grid. Place the binomial factor first. x 3 + y 3
Answers
_______________
the first parentheses contain the cubed root of both the terms so x and y respectively. second parentheses follows the formula (a^2 + ab + b^2)
x corresponds to a and y corresponds to b. The signs are what change depending on what the original equation is. Since the original is a subtraction then the signs are -/+/+. you can remember it using the acronym SOAP. (S = same, O = opposite, AP = always positive) So the first sign is x - y (same as subtraction from original), the second and third are x^2 + xy + y^2 (opposite is a plus, and the last sign is always a positive)
Answer:
[tex]x^{3}+y^{3}=(a+b)(a^{2}-ab+b^{2})[/tex]
Step-by-step explanation:
The given expression is
[tex]x^{3}+y^{3}[/tex]
This expression represents the sum of two perfect cubes, which is factorize as this product
[tex]x^{3}+y^{3}=(a+b)(a^{2}-ab+b^{2})[/tex]
We can demonstrate this factorization by multiplying the product
[tex](a+b)(a^{2}-ab+b^{2})=a^{3}-a^{2}b+ab^{2}+a^{2}b-ab^{2}+b^{3}=a^{3}+b^{3}[/tex]
Therefore, the answer is
[tex]x^{3}+y^{3}=(a+b)(a^{2}-ab+b^{2})[/tex]
Whats the number if the prime factorization is 5x7x7x17?
Answers
Check my answers? GIving medal:
7. What is the slope of the line that passes throught the pair of points (1, 7) and (10, 1)?
a. 3/2
b. -2/3
c. -3/2
d. 2/3 <--
8. What is the slope of the line that passes through the points (-5.5, 6.1) and (-2.5, 3.1)?
a. -1
b. 1
c. -3 <--
d. d
9. what is the slope of the line that passes through the pair of points (-7/3, -3) and (-5, 5/2)?
a. 6/22 <--
b. -6/22
c. 22/6
d. -22/6,
Answers
Number seven Is B. -2/3
Which quotient is equivalent to the mixed number
2
2---------- =
3
answer in fractions
Answers
Final answer:
To convert 2 2/3 to an improper fraction, multiply the whole number by the denominator and add the numerator, resulting in 8/3. The question lacks details to provide another specific quotient to compare this with. In dividing fractions, multiplication by the reciprocal is used to find equivalent quotients.
Explanation:
To find which quotient is equivalent to the mixed number 2 2/3, we must first convert the mixed number to an improper fraction. A mixed number is composed of a whole number and a fraction, which can be converted into an improper fraction by multiplying the denominator by the whole number and then adding the numerator to this product.
For the mixed number 2 2/3, we multiply the whole number 2 by the denominator 3, giving us 6, and then add the numerator 2, resulting in 8. Therefore, 2 2/3 as an improper fraction is 8/3.
However, without context, it's unclear what other quotient we are being asked to compare with the mixed number 2 2/3. Quotients can refer to the result of any division. Nonetheless, in contexts of dividing fractions, we use the multiplication of the inverse to find equivalent quotients. For example, if dividing by 3/1 (which is the same as dividing by 3), we would multiply by its reciprocal, 1/3.
In cases of conversion factors, we could use a factor that equals 1 to convert units without changing the value. For instance, 1 m / 100 cm is a conversion factor that equals 1, allowing us to convert meters to centimeters without changing the quantity.
Remember, multiplication and division in fractions can be seen as interconnected operations, where dividing by a number is the same as multiplying by its reciprocal.
PLEASE HELP NEED ASAP GIVING OUT BRAINLIEST 50 points!!!!
Answers
Bill and Greg are walking in opposite directions with speeds of 45 and 75 feet per minute. When they started, the distance between them was 20 feet. What will be the distance between them in 2.5 min?
Answers
Let X be the number of minutes
Bill*Minutes +Greg*Minutes +20 = total distnce between
45x + 75x +20 = d
Plug in 2.5 for both values of x
45(2.5) + 75(2.5) + 20 =d
Multiply values by 2.5
112.5 + 165 + 20 = d
add together
Distance = 297.5 feet apart
Answer:
320 ft
Step-by-step explanation:
I'm not sure how the other person was awarded brainliest answer because that answer is pretty far off. But the work was good just they messed up. Also kinda sad he is a brainly teacher and still has incorrect answers.
If the expected adult of a 2 week old puppy is 20 pounds how many grams per day should they gain?