So first you need to find the area of the building site which is:
length x width
39.5m x 32.5m
= 1283.75\(m^{2}\)
We know that one square meter costs 185.50 euros.
1\(m^{2}\) = 185.50 euros
1283.75\(m^{2}\) = 238135.625 euros
I'm not exactly that familiar with euros but I'm pretty sure that euros don't have 3 numbers after the point so the two nearest numbers are 238134.86 and 238135.86.
sorry if this is wrong, but I hope it helps, if the euros part is wrong please correct me thanks!
find the length of BC
The length of line BC as shown in the diagram below is 5√3.
What is length?
Length is the distance between two points.
To calculate the length of Line BC, we use the formula below.
Formula:
BC = AC×sin∅............................... Equation 1Where:
∅ = Angle facing line BCFrom the diagram,
Given:
AC = 10∅ = 60°Sin60° = √3/2Substitute these values into equation 1
BC = (10×√3/2)BC = 5√3Hence, BC is 5√3.
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parallelograms don’t know how to solve and teacher won’t show me need help
9514 1404 393
Answer:
congruentx = 19∠4 = 87°Step-by-step explanation:
The marked angles are all "interior" -- between the parallel lines. Ones on the same side of the transversal (t) are called "same-side" or "consecutive" interior angles. Angles 1 and 4, 2 and 3 are pairs of consecutive interior angles.
Angles on opposite sides of the transversal are called "alternate" interior angles. Pairs 1 and 3, and 2 and 4 are pairs of alternate interior angles.
Alternate interior angles are congruent. Consecutive interior angles are supplementary (as are the angles of any linear pair).
__
1) Angles ∠1 and ∠3 are congruent.
__
2) Using the above fact, we can set the expressions for the angle measures equal to solve for x.
5x -2 = 2x +55
5x = 2x +57 . . . . . add 2
3x = 57 . . . . . . . . . subtract 2x
x = 19 . . . . . . . . . . divide by 3
__
3) Angle 1 is ...
∠1 = 5x -2 = 5(19) -2 = 93
Angle 4 is its supplement.
∠4 = 180 -∠1 = 180 -93
∠4 = 87 . . . degrees
What is the solution to 38.4 = 2x
Answer:
19.2
Step-by-step explanation:
You want the solution to 38.4 = 2x.
One-step linear equationWhen you divide both sides of the equation by 2, you will have your answer.
38.4/2 = (2x)/2
19.2 = x
The solution to the equation is x = 19.2.
__
Additional comment
When you learned multiplication and division, you learned that each multiplication fact corresponds to two division facts:
A = B×C . . . . . . . 6 = 2×3
A/B = C . . . . . . . . 6/2 = 3
A/C = B . . . . . . . . 6/3 = 2
We use that relationship here to find the value of one of the factors in the product:
38.4 = 2·x
38.4/2 = x
The other division fact is still true, but isn't useful here for finding the value of x.
38.4/x = 2
I need help this is the screenshot
Answer:
I think the 1st one (on the left) is linear, the rest in nonlinear
Step-by-step explanation:
Write a fraction that is equivalent to 3/5 that has a denominator of 20.
5
15
20
20
12
12
20
3
20
Answer:
12/20
Step-by-step explanation:
\(\displaystyle \frac{3}{5}=\frac{3}{5}\cdot\frac{4}{4}=\frac{12}{20}\)
The answer is:
12/20In-depth-explanation:
The denominator of 3/5 is 5. To get from 5 to 20, we multiply it by 4.
We need to multiply both the numerator and the denominator by 4, so we do this:
\(\sf{\dfrac{3\times4}{5\times4}}\)
\(\sf{\dfrac{12}{20}}\)
Hence, the answer is 12/20.Please help I really don’t understand this concept
the correct option is c
)As x approaches -∞ , y approaches -∞
what are graphs?
In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way.
The relationships between two or more items are frequently represented by the points on a graph.
from the question:
The final behavior of the graph depicted in the image appears to be that the output (y) values approach negative infinity as the input (x) values grow extremely large (near infinity) or extremely small (approach negative infinity). This shows that the graph exhibits a downward trend, diminishing behavior at both ends, and a lower bound of negative infinity rather than an upper bound. As a result, we can state that the graph behaves at its endpoints by approaching negative infinity on both ends.
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i need help fo this!!!!
There are two numbers which add up to 20. If one number is five more than four times the other, find the numbers.
Answer:
3 and 17
Step-by-step explanation:
Let x and y represent the numbers.
x + y = 20 . . . . . . . . the numbers add up to 20
x = 5 + 4y . . . . . . . . one number is 5 more than 4 times the other
Substituting the second equation into the first:
(5 +4y) +y = 20
5y = 15 . . . . . . . . . . subtract 5
y = 3 . . . . . . . . . . . . divide by 5
x = 20 -3 = 17
The numbers are 17 and 3.
Circle A has a circumference of \(\frac{8\pi }{x+2}\) units and Circle B has a circumference \(\frac{4\pi }{x+2}\) units. What is a simplified expression for the difference in the areas of Circle A and Circle B
The simplified expression for the difference in the areas of Circle A and Circle B is = 12π/(x+2)²
Area of a Circle:The area of a circle is the space occupied by the circle in a two-dimensional plane. Alternatively, the space occupied within the boundary/circumference of a circle is called the area of the circle. The formula for the area of a circle is \(A = \pi r^2\), where r is the radius of the circle. The unit of area is the square unit, for example, \(m^2, cm^2, in^2\), etc.
We know that :
The formula of circle's circumference is = 2πr
We have :
Circle A has a circumference of \(\frac{8\pi }{x+2}\) units
and Circle B has a circumference \(\frac{4\pi }{x+2}\)
Now, First we calculate the area of circle A is:
8π/x+2 = 2πr
r = 8π/x+2 × 1/2π
r = 4/x+2
Area = πr² = (4/x+2)²π
Now, for circle B
4π/x+2 = 2πr
r = 4π/x+2 × 1/2π
r = 2/2x+2
Area =( 2/2x+2)²π
Simplified expression for the difference in the areas of Circle A and Circle B are:
(4/x+2)²π - ( 2/x+2)²π
= π/(x+2)²( 4²-2²)
= π/(x+2)²(16-4)
= 12π/(x+2)²
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What is the rule for dividing a fraction explain.
Answer:
When students see a number that ends in an even digit, they should know the number can be divided into two evenly. However, numbers that end in odd digits can be divided by two, they'll just have a remainder or decimal.
Step-by-step explanation:
-23.2 x 0.14 helppppp
Answer:
-3.248
Step-by-step explanation:
hope this helps (*^▽^*)
Answer:
-3.248
Step-by-step explanation:
Find the area of the figure
Answer:
104ft
Step-by-step explanation:
First - find the area of triangles.
h = hight
b = base
h • b / 2
5 • 8 /2 = 20ft
And
4 • 6 /2 = 12ft
And then area of the rectangle.
l • w
9 • 8 = 72 ft
Than add. Them all together
The following data represent the 2011 guaranteed salaries (in thousands of dollars) of the head coaches of the final eight teams in the 2011 NCAA Men's Basketball Championship. The data represent the 2011 salaries of basketball coaches of the following universities, entered in that order: Arizona, Butler, Connecticut, Florida, Kansas, Kentucky, North Carolina, and Virginia Commonwealth. (Source: www.usatoday) Compute the range, variance and standard deviation for these data.
The question is incomplete. Here is the complete question.
The following data represents the 2011 guaranteed salaries (in thousands of dollars) of the head coaches of the final 8 teams in the 2011 NCAA Men's Basketball Championship. The data represent the 2011 salaries of basketball coaches of the following universities, entered in that order: Arizona, Butler, Connecticut, Florida, Kansas, Kentucky, North Carolina and Virginia Commonwealth. (Source: www.usatoday.com)
1950 434 2300 3575 3376 3800 1655 418
Compute the range, variance and standard deviation for these data.
Round your answers to the nearest integer, where appropriate.
Answer: Range = 3382
Variance = 1785193
Standard Deviation = 1336
Step-by-step explanation: Range is the difference between the highest value and lowest value of the set.
Range for the coaches salaries is
range = 3800 - 418
range = 3382
Variance and Standard Deviation are both the statistical measures of the spread between in the data set. In other words, they show how far the numbers in the set are from the mean of the data.
Variance is calculated as
\(s^{2}=\frac{\Sigma (x-\mu)^{2}}{n}\)
x are the numbers in the set
μ is the mean
n is sample or population quantity
For the coaches' salaries, variance is
\(s^{2}=\frac{\Sigma (418-2188.5+...+3800-2188.5)^{2}}{8}\)
s² = 1785192.6
Standard deviation is the squared root of variance:
\(s=\sqrt{s^{2}}\)
Then, for coaches' salaries:
\(s=\sqrt{1785192.6}\)
s = 1336.11
For the 2011 coaches' salaries, range, variance and standard deviation are 3382, 1785193 and 1336, respectively
Which describes the graph of y = −(x − 3)2 − 8?
The vertex of the parabola is (h, k) = (3, -8), The graph in red has vertex (3, -8), thus, the red parabola is correct.
What is the quadratic functions?A quadratic function is a polynomial function of the form f(x) = ax² + bx + c, where a, b, and c are constants and a is not equal to 0.
We know that the standard form of the parabola is y=ax²+bx+c. Thus, the vertex form of a parabola is y = a(x-h)² + k, and the vertex is given by (h, k)
here, y = −(x − (3))² (−8) is already in vertex form.
Then,
h = 3
k = -8
Thus, the vertex of the parabola is (h, k) = (3, -8), The graph in red has vertex (3, -8), thus, the red parabola is correct.
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Complete question:
Which line describes the graph of y = −(x − 3)2 − 8?
Use the expression 3s +5g to determine how much it would cost to rent 5 pairs of bowling shoes
and play 3 bowling games.
Answer:
30
Step-by-step explanation:
Apparently, you want to evaluate the expression for s=5 and g=3. Put those numbers in place of the respective variables and do the arithmetic.
3s +5g =
3(5) +5(3) = 15 +15 = 30
It will cost 30 to rent the shoes and play the games.
Which step should be taken to find the quotient of 132.9 ÷ 1,000?
A. Move the decimal point in 132.9 two places to the right.
B. Move the decimal point in 132.9 two places to the left.
C. Move the decimal point in 132.9 three places to the right.
D. Move the decimal point in 132.9 three places to the left.
Answer:
D. Move the decimal point in 132.9 three places to the left.
Step-by-step explanation:
Multiplication of a decimal by the nth power of 10:
We move the decimal point n places to the right.
Division of a decimal by the nth power of 10:
We move the decimal point n places to the left.
In this question:
There is a division by 1000, which is the 3rd power of 10, because \(10^3 = 1000\)
So, we should move the decimal point three places to the left, and the correct answer is given by option D.
What is the solution to the equation below?
7/8 (x - 1/2) = -49/80
a
1/5
b
6/5
c
-6/5
d
-1/5
Answer:
hence the value of x is -⅕
the scatter plot shows the number of hours Nisha works an d the numbers of pairs of ghungaroos she makes the equation y= 4.75x - 2.5 is a good line fit for the data. using the equation of the line how many hours will it take Nisha to make 64 pairs of ghungaroos
The hours that it would take Nisha to make the gungharoos is 301.5 hours
How to solve for the hoursThe equation of the line in the scatter plot is given as
y= 4.75x - 2.5
Where x is the number of ghungaroos that Nisha would make
We have to put in the value of x as 64 because the question tells us that She made a total of 64 gungharoos
Hence we would have:
y = 4.75 * 64 - 2.5
y = 304 - 2.5
y =301.5
The hours that it would take Nisha to make the gungharoos is 301.5 hours
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The standard deviation of a population is 1.9. What is the margin of error? Enter your answer in the box. ±
The margin of error is defined as follows:
M = 1.9z/sqrt(n).
In which:
z is the critical value.n is the sample size.What is a z-distribution confidence interval?The bounds of the confidence interval are given as follows:
\(\overline{x} \pm z\frac{\sigma}{\sqrt{n}}\)
In which:
\(\overline{x}\) is the sample mean.z is the critical value.n is the sample size.\(\sigma\) is the standard deviation for the population.The margin of error is then given as follows:
\(M = z\frac{\sigma}{\sqrt{n}}\)
Missing InformationThe problem is incomplete, hence the general procedure to obtain the sample size was presented.
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Solve for x.
OA. 9
OB. 1
OC. 4
OD.7
The value of x in the secant intersection is 4.
How to find the length in a secant?If two secant segments are drawn to a circle from an exterior point, then the product of the measures of one secant segment and its external secant segment is equal to the product of the measures of the other secant segment and its external secant segment.
Therefore, let's find the value of x using the secant intersection theorem as follows;
4(4+x + 2) = 5(5 + x - 1)
4(6 + x) = 5(4 + x)
24 + 4x = 20 + 5x
24 - 20 = 5x - 4x
x = 4
Therefore,
x = 4
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Rework problem 27 from section 1.2 of your textbook, about the three subsets X1, X2, and X3 that partition a set X, except assume that the number of elements in X, is 4 times the number of elements in X2, the number of elements in X3 is 6 times the number of elements in X2, and n(X) = 99. (1) n(X1) = (2) n(X2) = (3) n(X3) =
The value of three subsets is \(n(x_{1})=36, n(x_{2})=9, & n\left(x_3\right)=54\).
A set is a collection of objects or elements, grouped in the curly braces, such as {a, b, c, d}. If a set A is a collection of even number and set B consists of {2,4,6}, then B is said to be a subset of A, denoted by B⊆A and A is the superset of B.
The elements of sets could be anything such as a group of real numbers, variables, constants, whole numbers, etc. It consists of a null set as well.
If set A has {X, Y} and set B has {X, Y, Z}, then A is the subset of B because elements of A are also present in set B.
Let the number of elements in \($x_2$\) be \($x$\), then
\($$\begin{aligned}& n\left(x_1\right)=4 x \\& n\left(x_2\right)=x \\& n\left(x_3\right)=6 x\end{aligned}$$\)
Given that number of elements in \($x=99$\)
\($$\begin{aligned}\Rightarrow & n\left(x_1\right)+n\left(x_2\right)+n\left(x_3\right)=99 \\\Rightarrow & 4 x+x+6 x=99 \\\Rightarrow & 11 x=99 \\\Rightarrow & x=9 \\\therefore & n\left(x_1\right)=4 x=4 \times 9=36 \\& n\left(x_2\right)=x=9 \\& n\left(x_3\right)=6 x=6 \times 9=54\end{aligned}$$\)
Therefore, the value of \(& n\left(x_3\right)\)\(=54\).
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. At a certain instant, the length of a rectangle is 3 inches and is increasing at the rate of 1 inch per minute. At the same instant, the width is 2 inches and is decreasing at the rate of .5 inches per minute. Is the area increasing or decreasing
Answer:
Area is increasing
Step-by-step explanation:
Let x be the length of rectangle and y be the width of rectangle
We are given that
x=3 in
dx/dt=1 in/min
y=2 in
dy/dt=-0.5/min
We know that
Area of rectangle,\(A=xy\)
Differentiate w.r.t t
\(\frac{dA}{dt}=y\frac{dx}{dt}+x\frac{dy}{dt}\)
Substitute the values
\(\frac{dA}{dt}=2(1)+3(-0.5)=2-1.5=0.5 in^2/min\)
Hence, the area of rectangle is increasing.
Ali, Basti and Cian stand at three points A, B and C respectively. Suppose that the measure of angle ABC is 50 degrees , the measure of angle BAC is 60 degrees and Ali is exactly 150 ft away from Basti. Find the distance between Basti and Cian.
To find the distance between Basti and Cian, we can use the law of sines in triangle ABC. The law of sines states that the ratio of the length of a side to the sine of the opposite angle is constant for all sides and their corresponding angles in a triangle.
Let's label the distance between Basti and Cian as "x". We know that the measure of angle ABC is 50 degrees and the measure of angle BAC is 60 degrees. We also know that Ali is exactly 150 ft away from Basti.
Using the law of sines, we can set up the following equation:
sin(50°) / 150 = sin(60°) / x
To solve for "x", we can rearrange the equation:
x = (150 * sin(60°)) / sin(50°)
Using a calculator, we can evaluate the expression:
x ≈ (150 * 0.866) / 0.766
x ≈ 168.4 ft
Therefore, the distance between Basti and Cian is approximately 168.4 ft.
What is the value of x?
Answer:
x = 20
Step-by-step explanation:
using the cosine ratio in the right triangle and the exact value
cos45° = \(\frac{\sqrt{2} }{2}\) , then
cos45° = \(\frac{adjacent}{hypotenuse}\) = \(\frac{10\sqrt{2} }{x}\) = \(\frac{\sqrt{2} }{2}\) ( cross- multiply )
x × \(\sqrt{2}\) = 20\(\sqrt{2}\) ( divide both sides by \(\sqrt{2}\) )
x = 20
hi please help quick
1 7/12 + 4 1/3
A. 5 8/15
B. 5 11/12
C. 3 3/12
D. 3 6/9
Answer: B
Step-by-step explanation:
Answer:
B. 5 11/12
Step-by-step explanation:
Simplify the following:
1 + 7/12 + 4 + 1/3
Put 1 + 7/12 + 4 + 1/3 over the common denominator 12. 1 + 7/12 + 4 + 1/3 = 12/12 + 7/12 + (12×4)/12 + 4/12:
12/12 + 7/12 + (12×4)/12 + 4/12
12×4 = 48:
12/12 + 7/12 + 48/12 + 4/12
12/12 + 7/12 + 48/12 + 4/12 = (12 + 7 + 48 + 4)/12:
(12 + 7 + 48 + 4)/12
| 2 |
| 4 | 8
| 1 | 2
| | 7
+ | | 4
| 7 | 1:
Answer: 71/12 = Convert to a mixed number:
71/12
Divide 71 by 12:
1 | 2 | 7 | 1
12 goes into 71 at most 5 times:
| | | 5
1 | 2 | 7 | 1
| - | 6 | 0
| | 1 | 1
Read off the results. The quotient is the number at the top and the remainder is the number at the bottom:
| | | 5 | (quotient)
1 | 2 | 7 | 1 |
| - | 6 | 0 |
| | 1 | 1 | (remainder)
The quotient of 71/12 is 5 with remainder 11, so:
Answer: 5 11/12
The admission prices for a small fair are $1.50 for children and $4.00 for adults. In one day there was $5050 collected. If we know that 2100 children paid admission, find the number of adults that paid admission.
Answer: 475 adults paid admission
Step-by-step explanation:
1.50c+4a=5050 (1.50 per child and 4 per adult)
1.50(2100)+4c=5050 (2100 children times 1.5 each)
3130+4a=5050
4a=1900
a=475
for the equation x-5=8, what is the value of x?
Answer:
C - 13
Step-by-step explanation:
X - 5 = 8
8 + 5 = 13
13 - 5 = 8
Please help math 1-2 high school solving proofs.
Answer:
1= A
2= C
Step-by-step explanation:
I think this is right I'm not sure but I think it is.
hope this helps :)
Estimate the given product 61 x 47 =
(a) The area of a rectangular garden is 7371 m².
If the width of the garden is 81 m, what is its length?
What is the Length of the garden:
Answer:
length = 91 m
Step-by-step explanation:
area = length * width
so,
7371 = length * 81
cancel out 81 by dividing on both sides
91 = length