Which equation represents the perimeter of rectangle ABCD?; How do you find the length and width of a rectangle when given the perimeter?; What is the formula for calculating perimeter of a rectangle?; How do you find the length of a rectangle with the perimeter?
The formula for calculating it is perimeter of the rectangle = 2(length + width), meaning that it is equal to twice the sum of its length and width.
Given that,
We have to find which equation perfectly describes the ABCD rectangle's perimeter? How do you determine a rectangle's length and width given its perimeter?
We know that,
The total length of a rectangle's outer boundary is known as its perimeter. The formula for calculating it is perimeter = 2(length + width), meaning that it is equal to twice the sum of its length and width.
The sum of a rectangle's boundary lengths on all sides is known as its perimeter. A rectangle's perimeter is a linear measurement that can be expressed in metres, feet, inches, or yards. Let's first comprehend the two fundamental characteristics of a rectangle.
A rectangle has four 90° angles.
The diagonals of a rectangle are all of the same length.
To learn more about rectangle visit: https://brainly.com/question/15019502
#SPJ4
Round your answer to the nearest hundredth.
Answer:
41.41 degrees
Step-by-step explanation:
cos(a) = 6/8
arccos(6/8) = a
a = 41.41 degrees
Answer:
41⁰
Step-by-step explanation:
you can use cosA=adj/hyp to find the angle A.
adj=6
hyp=8
then cos-¹(6/8)=A
A=41.4096...
The meaning of the decimal representation of a number 0.d1d2d3?. (where the digit d1 is one of the numbers 0,1,2,?., 9) is that Show that this series always converges.
This series 9 (.d1d2d3 . . .) is convergent because it is in increasing order.
How to describe the convergent series?In a geometric progression, each element following the first is created by multiplying it by a number known as the common ratio, which is represented by the symbol r.For the stated question-
The information provided indicates that the decimal expression's digits, d, are 10.The common ratio is 1/10, and the right-hand side of a inequality is a sum with 1 as the first term in the geometric progression.The geometric progression's sum in this instance is represented as follows:
= a / (1 - r)
= 1 / (1 - r)
= 10/9
As a result, the series becomes convergent since it is in increasing order.
To know more about the convergent series, here
https://brainly.com/question/15415793
#SPJ4
The complete question is-
The meaning of the decimal representation of a number 0.d1d2d3 . . . (where the digit i is one of the numbers 0, 1, 2, . . ., 9) is that 0.d1d2d3d4 . . . = d1/10 + d2/10^2 + d3/10^3 + d4/10^4 + . . . Show that this series always converges.
Express the function graphed on the axes below as a piecewise function
The graph given can be expressed as piecewise function as,
f(x) = 2x + 10, for [-6, -3)
= -x + 1, for (-3, 2)
What is a Piecewise Function?A piecewise function is a function which has different definitions of values for different intervals.
Given is a graph of a function.
The graph consists of two lines.
In the interval [-6, -3), the graph is a line with positive slope.
In the interval (-3, 2), the graph is a line with negative slope.
Now we have to find the equation of two lines.
The positive line passes through (-6, -2) and (-5, 0).
Slope of the line = (0 - -2) / (-5 - -6) = 2 / 1 = 2
Slope intercept form of the line is y = mx + c, where m is slope and c is y intercept.
y = 2x + c
Substitute a point (-5, 0), in the equation.
0 = (2 × -5) + c ⇒ c = 10
Equation is y = 2x + 10
The negative line passes through (0, 1) and (1, 0).
Slope = (0 - 1) / (1 - 0) = -1
y intercept = 1, since the line passes touches the Y axis at the point (0, 1).
Equation of line is y = -x + 1
So the function is, f(x) = 2x + 10, for [-6, -3)
= -x + 1, for (-3, 2)
Hence the piecewise function is found.
Learn more about Piecewise Functions here :
https://brainly.com/question/12561612
#SPJ1
Answer:
y = 2x + 10 for -6 <= x < -3
y = -x + 1 for -3 < x < 2
Step-by-step explanation:
Please answer immediately I beg.
A pyramid and a cone have the same base area and height. The volume
of the pyramid is 175m³. What is the volume of the one? Explain your answer.
The volume of cone is 175 m³
Firstly,
Volume of Pyramid.
The volume (V) of a pyramid is
V = ⅓Ah
Data:
V = 175m³
Calculation:
175 = ⅓× A× h
Ah = 175*3
Ah = 525m³
Secondly,
The volume (V) of a cone is
V = ⅓Ah
Data:
Ah = 525 m³
Calculation:
V = ⅓ A× h
V = 175 m³
Know more about volumes,
https://brainly.com/question/17101095
#SPJ1
Find a and b using the factor theorem.
\(f(x)=x^3+ax^2+bx-12\) has factor \((x-1), (x+1)\)
The values of a and b using the factor theorem for the polynomial f(x), we set f(1) and f(-1) equal to zero. Solving the resulting system of equations, we find that a = 12 and b = -1.
To find the values of a and b using the factor theorem, we need to use the given factors (x - 1) and (x + 1) and the fact that they are roots of the polynomial f(x).
The factor theorem states that if (x - c) is a factor of a polynomial, then f(c) = 0. Therefore, we can set x = 1 and x = -1 in the polynomial f(x) to get two equations.
First, let's substitute x = 1 into f(x):
f(1) = (1)^3 + a(1)^2 + b(1) - 12
f(1) = 1 + a + b - 12
Next, let's substitute x = -1 into f(x):
f(-1) = (-1)^3 + a(-1)^2 + b(-1) - 12
f(-1) = -1 + a - b - 12
Since (x - 1) and (x + 1) are factors, f(1) and f(-1) must equal zero. Therefore, we can set the two equations equal to zero and solve for a and b:
1 + a + b - 12 = 0
-1 + a - b - 12 = 0
Rearraning the equations, we have:
a + b = 11
a - b = 13
Now, we can solve this system of equations. Adding the two equations, we get:
2a = 24
a = 12
Substituting the value of a into one of the equations, we find:
12 - b = 13
b = -1
Therefore, the values of a and b are 12 and -1 respectively.
For more such questions on polynomial
https://brainly.com/question/1496352
#SPJ8
whenever a,x,y are positive integers, which of the following expressions is equivalent to x^ay^a
Answer:
\({(xy)}^{a} \)
Step-by-step explanation:
when the exponent is equal, we can put the x and y together in a bracket and a as the Exponent of xy.
Hope I get your question~
A teaching hospital in South-West Part of Nigeria receives on the average 5 pregnant women with high blood pressure per week. What is the probability that on a particular week, the teaching hospital will receive:
1.) No high BP pregnant woman
Answer:
The probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068
Step-by-step explanation:
We use the Exponential distribution,
Since we are given that on average, 5 pregnant women with high blood pressure come per week,
So, average = m = 5
Now, on average, 5 people come every week, so,
5 women per week,
so, we get 1 woman per (1/5)th week,
Hence, the mean is m = 1/5 for a woman arriving
and λ = 1/m = 5 = λ
we have to find the probability that it takes higher than a week for a high BP pregnant woman to arrive, i.e,
P(X>1) i.e. the probability that it takes more than a week for a high BP pregnant woman to show up,
Now,
P(X>1) = 1 - P(X<1),
Now, the probability density function is,
\(f(x) = \lambda e^{-\lambda x}\)
And the cumulative distribution function (CDF) is,
\(CDF = 1 - e^{-\lambda x}\)
Now, CDF gives the probability of an event occuring within a given time,
so, for 1 week, we have x = 1, and λ = 5, which gives,
P(X<1) = CDF,
so,
\(P(X < 1)=CDF = 1 - e^{-\lambda x}\\P(X < 1)=1-e^{-5(1)}\\P(X < 1)=1-e^{-5}\\P(X < 1) = 1 - 6.738*10^{-3}\\P(X < 1) = 0.9932\\And,\\P(X > 1) = 1 - 0.9932\\P(X > 1) = 6.8*10^{-3}\\P(X > 1) = 0.0068\)
So, the probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068
Which number is closest to 158 square root?
A:12.5
B:15.4
C: 13.55
D: 17.6
Answer: A
Step-by-step explanation:
Well when we use a calculator to determine the square root of 158 we get= 12.56980509.
And so option A woud be closest, smallest difference between all.
Answer: A
Step-by-step explanation: Square root of 158 simplified is 12.5698
What is the distance between point T (-5,1) and point I (-1,1)
The distance between point T (-5, 1) and point I (-1, 1) is 4 units.
To find the distance between two points, we can use the distance formula, which is derived from the Pythagorean theorem. The formula is:
Distance = √((x2 - x1)² + (y2 - y1)²)
Let's apply this formula to find the distance between point T (-5, 1) and point I (-1, 1):
x1 = -5, y1 = 1 (coordinates of point T)
x2 = -1, y2 = 1 (coordinates of point I)
Plugging these values into the formula, we have:
Distance = √((-1 - (-5))² + (1 - 1)²)
= √(4² + 0²)
= √(16 + 0)
= √16
= 4
Therefore, the distance between point T (-5, 1) and point I (-1, 1) is 4 units.
For more questions on Pythagorean theorem, click on:
https://brainly.com/question/231802
#SPJ8
which coordinate plane represents the linear relationship 4x + 5y = 20
What is the discriminat of 2x+5x^=1
Answer:
don't know...........
A cone has a radius of 6 inches and a Hight 11 inches what is the volume of the cone.
Answer:
about 414.69
Step-by-step explanation:
Use the equation πr^2(h /3)
r = radius
h = height
There are 6 triangles and 2 circles. What is the simplest ratio of circles to total shapes?
Answer 1:4
Anyone know the answer to this?
2n^2/6^2+10n-1
Step-by-step explanation:
(6-n)(6+n)-(6+n)(6+n)/(6+n)(6+n)-(1-n)(1+n)
Will give brainliest answer
Answer:
first most option is the answer
Answer:ok A is the correct answer for this test I did this plz trust me give brainpower plz
Step-by-step explanation:
five and sixty seven thousandths in decimal form
Answer:
5.067 is the correct answer
Answer:
5.067
Step-by-step explanation:
"five and.." , the and=decimal point. (5.)
the 7 is right before the thousandths, so it is in the third row (aka the thousandth spot, or the third 0 away from the decimal point. .000).
The six is in the place before the seven, so it gets placed in the hundreds spot (.007).
There is no number before the sixty, so it is placed as a zero (.067)
So, all together its 5.067
(05.05 MC) The length of a rectangle is shown below: On a coordinate grid from negative 6 to positive 6 on the x-axis and on the y-axis, two points A and B are shown. The point A is on ordered pair 1, 3, and the point B is on ordered pair negative 3, 3. A straight line joins the points A and B. If the area of the rectangle to be drawn is 20 square units, where should points C and D be located, if they lie vertically below the line that connects B and A, to make this rectangle? A. C(−3, −2), D(1, −2) B. C(−3, −1), D(1, −1) C. C(−3, −7), D(1, −7) D. C(−3, −5), D(1, −5)
Answer:
Your answer is C.
Step-by-step explanation:
Have a great day!
Answer:
you need 2 answers to give brainlies so here you go I guess
A motorist completes a journey in 45 minutes covering a distance of 75km at what speed did he travel
Answer:
100KM PER HOUR
Step-by-step explanation:
Have a nice day
Answer:
He traveled at a speed of 1.6 miles per minute
Step-by-step explanation:
75/45=1.6
what is a power of a power
Answer:
The power of a power rule states that if a base raised to a power is being raised to another power, the exponents are multiplied and the base remains the same.
Step-by-step explanation:
By drawing a diagram, determine the distance travelled south and the distance travelled
east by a plane flying on a bearing of 140 degrees for 90km
Sure, here is a diagram of a plane flying on a bearing of 140 degrees for 90km:
[Image of a plane flying on a bearing of 140 degrees for 90km]
The distance traveled south is 60km and the distance traveled east is 53.5km.
To calculate the distance traveled south, we can use the following formula:
distance = (90km * sin(140 degrees)) / 180 degrees
Use code with caution. Learn more
This gives us a distance of 60km.
To calculate the distance traveled east, we can use the following formula:
distance = (90km * cos(140 degrees)) / 180 degrees
Use code with caution. Learn more
This gives us a distance of 53.5km.
the center of a semisimple lie algebra {\displaystyle {\mathfrak {g}}}{\mathfrak {g}} is trivial proof. t/f
Answer:
False. The center of a semisimple Lie algebra is usually not trivial.
Step-by-step explanation:
The center of a semisimple Lie algebra is the set of elements of the Lie algebra that commute with all other elements in the algebra. In most cases, the center of a semisimple Lie algebra is not trivial, meaning it contains at least one non-zero element. For example, the center of the simple Lie algebra sl(2,C) contains the two-dimensional Lie algebra spanned by the scalar matrices I and -I. The center of the Lie algebra so(5,C) is spanned by the five-dimensional Lie algebra spanned by the matrices diag(1,1,1,-1,-1). These examples demonstrate that the center of a semisimple Lie algebra is usually not trivial.
To read more above Lie algebra questions, ref:
https://brainly.com/question/12154047?referrer=searchResults
#SPJ4
Find the measure of the indicated angle to the nearest degree (whole number).
39
36
15
Answer:
I think 39
Step-by-step explanation:
Inga is solving 2x2 + 12x – 3 = 0. Which steps could she use to solve the quadratic equation? Select three options. 2(x2 + 6x + 9) = 3 + 18 2(x2 + 6x) = –3 2(x2 + 6x) = 3 x + 3 = Plus or minus StartRoot StartFraction 21 Over 2 EndFraction EndRoot 2(x2 + 6x + 9) = –3 + 9
The steps that she could use to solve the quadratic equation is determined as 2(x² + 6x + 9) = 18 + 3.
Solution to the quadratic equation
The solution to the quadratic equation is determined as follows;
2x² + 12x - 3 = 0
2x² + 12x = 3
divide through by 2
x² + 6x = ³/₂
take half of coefficient of x, square it and add it both sides of the equation
(x + 3)² = ³/₂ + 3²
x² + 6x + 9 = 9 + ³/₂
2(x² + 6x + 9) = 18 + 3
Thus, the steps that she could use to solve the quadratic equation is determined as 2(x² + 6x + 9) = 18 + 3.
Learn more about quadratic equation at:
brainly.com/question/1214333
#SPJ1
What is the volume of the pyramid? Show all work.
6 m
8 m
4 m
I need help with this question.
Answer: \(y=-\frac{7}{4}x-\frac{3}{4}\)
Step-by-step explanation:
Rearranging the line into slope-intercept form,
\(4y+7x=-6\\\\4y=-7x-6\\\\y=-\frac{7}{4}x-\frac{3}{2}\)
Since the center of dilation does not lie on the line, we can multiply the y-intercept by the scale factor of the dilation.
So, the equation of the line is \(y=-\frac{7}{4}x-\frac{3}{4}\)
Indigo went shopping for a new pair of sneakers. Sales tax where she lives is 3.75%. The price of the pair of sneakers is $20. Find the total price including tax. Round to the nearest cent.
Step-by-step explanation:
price=$20tax rate=$3.75multiply the price with rate and you will get tax the add it to the real pricetotal price incl. tax= 20+(20*3.75/100)=20.75there is your answer...The total price of sneakers including tax will be equal to $20.75.
What is the Percentage?The Latin phrase "per centum," which means "by the hundred," is where the English word "percentage" comes from. Percentage segments are those with a numerator of 100. In other words, it is a connection where the whole is always deemed to be valued 100.
As per the given information in the question,
Price of sneakers = $20
Tax on sneakers = 3.75%
Then, the amount of tax will be,
(20 × 3.75)/100
= 75/100
= $0.75
Then, the total price of the sneakers will be,
$20 + $0.75
= $20.75
To know more about Percentage:
https://brainly.com/question/29306119
#SPJ2
From the diagram below, if < A = 110 ° and < B = 93 °, what is the measure of < D?
If we see the diagram we have that the AB, and AD segments are equal. In adition, BC and DC are equal too. It means that the figure has simetry.
From this we can infer that the only way to this simetry has been according to the figure, the angle of D must be 93°, which is equal to the angle of B.
Then the correct answer is B.
|x+6|=|x−12| Graph the solution
Answer:
Step-by-step explanation:
\(\left|x+6\right|=\left|x-12\right|\\\\\mathrm{For\:each\:absolute\:find\:positive\:and\:negative\:intervals}\\ \\\mathrm{For\:}x<-6:\quad \mathrm{No\:Solution}\\\\\mathrm{For\:}-6\le \:x<12:\quad x=3\\\\\mathrm{For\:}x\ge \:12:\quad \mathrm{No\:Solution}\\\\\mathrm{Combine\:Solutions:}\\\\\mathrm{No\:Solution}\quad \mathrm{or}\quad \:x=3\\\\x=3\)
Talwar wants to invest R5800 at simple interest rate of 12,2% per annum. How many years will it take for the money to grow to R26100
It will take approximately 28.67 years for Talwar's investment of R5,800 to grow to R26,100 at a simple interest rate of 12.2% per annum.
To calculate the number of years it will take for Talwar's investment to grow to R26,100 at a simple interest rate of 12.2% per annum, we can use the formula for simple interest:
Simple Interest = Principal × Rate × Time
Given that the principal (P) is R5,800, the rate (R) is 12.2% (or 0.122 as a decimal), and the desired amount (A) is R26,100, we need to find the time (T) it will take. Rearranging the formula, we get:
Time = (Amount - Principal) / (Principal × Rate)
Plugging in the values, we have:
Time = (R26,100 - R5,800) / (R5,800 × 0.122)
= R20,300 / R708.6
≈ 28.67 years
For more such questions on investment
https://brainly.com/question/29227456
#SPJ8