Answer:
The correct answer option is A. encryption and transfer of data.
Step-by-step explanation:
The business activities that take place through internet as the medium are referred to as electronic commerce.
The Federal Trade Commission [FCT] is one of the main functional bodies responsible for regulating such electronic commerce activities which includes encryption and transfer of data.
The risk of data theft from encryption and transfer of data is really high so FTC makes sure to prevent theft from the transaction made through e-commerce.
Answer:
Which aspect of electronic commerce does the FTC regulate?
A.
encryption and transfer of data
B.
disposing of credit reports
C.
network security
D.
antivirus software updates
Step-by-step explanation:
#platofam
If -2x²+5-8 is multiplied by 4x-9, what is the coefficient of x in the resulting polynomial?
A) -77
B) -45
C) -32
D) -13
Answer:
-77 assuming you meant to write -2x^2+5x-8 instead of -2x^2+5-8
Step-by-step explanation:
You could multiply it out and see...
(-2x^2+5x-8)(4x-9)
(-2x^2)(4x-9)+(5x)(4x-9)+(-8)(4x-9)
-8x^3+18x^2+20x^2-45x-32x+72
-8x^3+38x^2-77x+72
Coefficient of x^3 is -8
Coefficient of x^2 is 38
Coefficient of x is -77
Constant term is 72
Which products result in a difference of squares? Check all that apply.
(x – y)(y – x)
(6 – y)(6 – y)
(3 + xz)(–3 + xz)
(y2 – xy)(y2 + xy)
(25x – 7y)(–7y + 25x)
(64y2 + x2)(–x2 + 64y2)
Answer:
(x-y)(y-x)
Step-by-step explanation:
because x-y=y-x
Determine whether the function shown in the graph is even or odd.
Answer:
D. The function is odd because it is symmetric with respect to the origin.
Step-by-step explanation:
We have been given a graph of a function. We are asked to determine whether our given function is odd or even.
We know that a function is even, when it is symmetric with respect to the y-axis.
We also know that a function is odd, when it is symmetric with respect to the origin.
Upon looking at our given graph, we can see that it is symmetric about the origin, therefore, option D is the correct choice.
The function is odd because it is symmetric with respect to the origin.
(Option D)
Further explanationWe will determine whether the function is shown in the graph is even or odd.
Let us recall how to distinguish whether the function graph is included in an even or odd function.
Even Functions
A function f is even if, for each x in its domain, [tex]\boxed{ \ f(-x) = f(x) \ }[/tex].The graph of an even function is symmetric with respect to the y-axis. In order to complete the graph for an even function just imagine the y-axis as a mirror and draw the reflection of each point on the other side.Examples: [tex]\boxed{ \ f(x) = x^2 \ } \boxed{ \ f(x) = 2x^4 - 4 \ } \boxed{ \ f(x) = sin \ x \ for \ -360^0 \leq x \leq 360^0 \ }[/tex]Odd Functions
A function f is odd if, for each x in its domain, [tex]\boxed{ \ f(-x) = -f(x) \ }[/tex].The graph of an odd function is symmetric with respect to the origin.In order to complete the graph for an odd function connect each point with the origin and extend that line to the other side of the origin until we have the same distance.Examples: [tex]\boxed{ \ f(x) = x^3 \ } \boxed{ \ f(x) = 2x^3 - 4x \ } \boxed{ \ f(x) = \frac{x^2 + 1}{2x} \ } \boxed{ \ f(x) = tan \ x \ }[/tex]Generally, the functions that we face are neither even nor odd.
Learn moreWhich table represents a linear function https://brainly.com/question/10570936 The piecewise-defined functions https://brainly.com/question/9590016The functions that inverse of each other https://brainly.com/question/4620451I could really use help with this!!!!
Answer:
Hi
Step-by-step explanation:
Please make sure you have posted all the information. i will be glad to help however it doesnt seem that all the instructions aare there
What is the range of the following function:
y = 2(5^x) - 1
The answer is:
The range of the function is:
Range: y>2
or
Range: (2,∞+)
Why?To calculate the range of the following function (exponential function) we need to perform the following steps:
First: Find the value of "x"
So, finding "x" we have:
[tex]y=2(5^{x}-1)\\\frac{y}{2}=5^{x}-1\\\\\frac{y}{2}-1=5^{x}\\\\Log_{5}(\frac{y}{2}-1)=Log_5(5^{x})\\\\x=Log_{5}(\frac{y}{2}-1)[/tex]
Second: Interpret the restriction of the function:
Since we are working with logarithms, we know that the only restriction that we found is that the logarithmic functions exist only from 0 to the possitive infinite without considering the number 1.
So, we can see that if the variable "x" is a real number, "y" must be greater than 2 because if it's equal to 2 the expression inside the logarithm will tend to 0, and since the logarithm of 0 does not exist in the real numbers, the variable "x" would not be equal to a real number.
Hence, the range of the function is:
Range: y>2
or
Range: (2,∞+)
Note: I have attached a picture (the graph of the function) for better understanding.
Have a nice day!
Katie wants to hang a painting in a gallery. The painting and frame must have an area of 45 square feet. The painting is 6 feet wide by 7 feet long. Which quadratic equation can be used to determine the thickness of the frame, x?a. 4x^2 + 26x + 45 = 0b. 4x^2 + 26x − 3 = 0c. x^2 + 13x − 3 = 0d. x^2 + 13x + 45 = 0
Answer:
[tex]4x^2+26x-3 = 0[/tex]
Step-by-step explanation:
Given that the total area of Frame and Painting is 45 Sq Fts.
Dimensions of painting are 6 feet and 7 feet. Hence.
Let us assume the uniform thickness of frame is x
Hence the Length of frame with painting = 7+2x
and breadth = 6+2x
Area of the frame = length * breadth
[tex]45=(7+2x)(6+2x)\\45=42+14x+12x+4x^2\\45=42+26x+4x^2\\4x^2+26x+42-45\\4x^2+26x-3=0\\[/tex]
Hence option b is correct.
Answer: B) - 4x^2 + 26x − 3 = 0
Step-by-step explanation:
I got it right :)
Which is one of the transformations applied to the graph of [tex]f(x)=x^2[/tex] to produce the graph of [tex]p(x)=-50+14x-x^2[/tex]?
A. a shift down 1 unit
B. a shift left 7 units
C. a shift right 1 unit
D. a shift up 7 units
Could you explain your answer?
If it's wrong it should be report called "improper answer."
No need to spamming answers! If you spamming and that's going to mark your answer report.
Thank you!
-Charlie
Answer:
A
Step-by-step explanation:
Write each parabola in standard form.
f(x) = x²
f(x) = (x − 0)² + 0
For p(x), complete the square.
p(x) = -50 + 14x − x²
p(x) = -(x² − 14x + 50)
p(x) = -(x² − 14x + 49 + 1)
p(x) = -(x² − 14x + 49) − 1
p(x) = -(x − 7)² − 1
The transformation from f(x) to p(x) includes a reflection about the x-axis, a shift right 7 units, and a shift down 1 unit.
The answer is A.
A population of geese grow in such a way that each generation is simply 2.2 times the previous generation. There were 3 geese in the first generation, how many will there be by the 15th generation?
Answer:
186655 geese
Step-by-step explanation:
In this question , the next generation is calculated by multiplying the current generation by 2.2. Let's do a simple math;
1st generation = 3
2nd generation= 3×2.2=6.6
3rd generation=6.6×2.2=14.52
4th generation=14.52×2.2=31.94
5th generation=31.94×2.2=70.28
6th generation= 70.28×2.2=154.61
7th generation=154.62×2.2=340.14
8th generation=340.14×2.2=748.31
9th generation=748.31×2.2=1646.28
10th generation=1646.28×2.2=3621.81
11th generation=3621.81×2.2=7967.98
12th generation=7967.98×2.2=17529.55
13th generation=17529.55×2.2=38565.0
14th generation=38565.0×2.2=84843.02
15th generation=84843.02×2.2=186654.64
=186655 geese
OR
If current generation is calculated as the previous generation multiplied by a factor then you should see that this is an exponential function.In this case
Original number of geese=3
Factor of multiplication is =2.2
Exponential function for first generation is =0
How? see here
[tex]1st=3*2.2^0=3*1=3\\\\2nd=3*2.2^1=3*2.2=6.6\\\\3rd=3*2.2^2=3*4.84=14.52[/tex]
So from the above you can derive an expression for 15th generation
You notice for 1st generation , the exponent is 0
For the 2nd generation the exponent is is 1
For the 3rd generation the exponent is 2
Thus for the nth generation the exponent will be n-1
Your expression for nth generation can now be;
[tex]nth=3*2.2^{n-1}[/tex]
For 15th generation
[tex]15th=3*2.2^{15-1} =3*2.2^{14} =186654.63\\\\\\=186655[/tex]
PLEASE HELP ME WITH THIS MATH QUESTION
Answer:
Step-by-step explanation:
1) add the total number of male student
=14
2) divide the number of juniors by the total
2/14 = 1/7 = 0.14285
3)Multiply by 100 to get percentage
0.14285*100=14.285
4)Round
this rounds down to 14%
Simply put, an equation shows A. a method for finding the value x. B. that one thing is equal to another. C. the value of an unknown quantity. D. a rule for finding an unknown quantity.
Answer:
B. that one thing is equal to another.
Step-by-step explanation:
An equation has a "left side", an "equal sign", and a "right side." It shows the left side is equal to the right side (one thing is equal to another).
___
An equation may or may not involve variables and unknown quantities.
The following frequency table summarizes last week's bed sales at Cloud Nine Furniture.
Based on this data, what is the reasonable estimate of the probability that the next bed sold is a twin bed?
CHOOSE 1 ANSWER:
A.) 0.20
B.) 0.25
C.) 0.27
D.) 0.40
Answer:
A.) 0.20
Step-by-step explanation:
There were 3+6+4+2 beds sold, or 15 beds sold
There were 3 twin beds sold
P(twin) = number of twin/ total
= 3/15 = 1/5 = .2
Answer:
Option A. 0.20
Step-by-step explanation:
Observations from the given frequency table are :
Total number of beds sold at Cloud Nine Furniture = 3 + 6 + 4 + 2
= 15
Number of twin beds sold = 3
Then, probability that the next bed sold will be a twin bed,
[tex]P=\frac{\text{favorable outcome}}{\text{total number of possible outcomes}}[/tex]
[tex]=\frac{3}{15}[/tex]
= 0.20
Therefore, the probability that the next bed sold is a twin bed will be 0.20 or 20%.
Option A. is the correct answer.
given f(x)= 9x+1 and g(x)=x^3, choose the expression (f*g)(x)
[tex](f\cdot g)(x)=(9x+1)\cdot x^3=9x^4+x^3[/tex]
At a snack bar, 3 hamburgers and a small drink cost $8.75. The cost of 2 hamburgers and 2 small drinks is $7.50. What is the cost of 4 hamburgers and 3 small drinks?
Answer:
13.75
Step-by-step explanation:
3b + d = 8.75
2b + 2d = 7.50
(3b + d = 8.75) times 2
(2b + 2d = 7.50) times -3
6b + 2d = 17.5
-6b + (-6d) = -22.5
the b's cancel out, 2d - 6d = -4d and 17.5 - 22.5 = -5
-4d = -5 Divide it and d = 1.25
then plug in 1.25 for d.
2b + 2(1.25) = 7.50
2b + 2.5 = 7.50
2b = 5
b= 2.5
3(2.5) + 1.25 = 8.75 ? Yes.
2(2.5) + 2(1.25) = 7.50 ? Yes.
4(2.5) + 3(1.25) = 13.75.
please help will mark the brainliest
Ruby had a budget of up to $75 dollar to spend. Ruby made a graph of the costs of the items she bought.
Answer:
She has $10 left.
Step-by-step explanation:
There are 13 tags. Every tag is 5$.
13 tags times 5 dollars equals 65 dollars spent.
75 dollars minus 65 dollars spent = 10 dollars left.
Ruby has 10 dollars left.
Ruby is left with 10 dollars. .
What is graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points. A graph consists of some points and lines between them. The length of the lines and position of the points do not matter. Each object in a graph is called a node.
Ruby had a budget of up to $75 dollar to spend.
Total tags=13
Each tag is $5.
So,
Ruby spent on 13 tags
= 13*5
= $65
Thus, Ruby left with
=75 - 65 dollars
= 10 dollars.
Hence, Ruby has 10 dollars left.
Learn more about graph here:
https://brainly.com/question/16608196
#SPJ2
HELP!!
Polygon ABCDE has the vertices A(2, 8), B(4, 12), C(10, 12), D(8, 8), and E(6, 6). Polygon MNOPQ has the vertices M(-2, 8), N(-4, 12), O(-10, 12), P(-8, 8), and Q(-6, 6).
A transformation or sequence of transformations that can be performed on polygon ABCDE to show that it is congruent to polygon MNOPQ is a
If polygon MNOPQ is translated 3 units right and 5 units down, it will coincide with a congruent polygon, VWXYZ, with its vertices at
Answer:
Part 1: The polygon ABCDE reflected across y-axis to get the polygon MNOPQ. So, the polygon ABCDE congruent to polygon MNOPQ.
Part 2: The vertices of polygon VWXYZ are V(1, 3), W(-1, 7), X(-7, 7), Y(-5, 3), and Z(-3, 1).
Step-by-step explanation:
Part 1:
The vertices of the polygon ABCDE are A(2, 8), B(4, 12), C(10, 12), D(8, 8), and E(6, 6).
The vertices of the polygon MNOPQ are M(-2, 8), N(-4, 12), O(-10, 12), P(-8, 8), and Q(-6, 6).
We need to find the transformation or sequence of transformations that can be performed on polygon ABCDE to show that it is congruent to polygon MNOPQ.
The relation between the vertices of ABCDE and MNOPQ are defined as
[tex](x,y)\rightarrow (-x,y)[/tex]
It means the polygon ABCDE reflected across y-axis to get the polygon MNOPQ. So, the polygon ABCDE congruent to polygon MNOPQ.
Part 2:
If polygon MNOPQ is translated 3 units right and 5 units down, then
[tex](x,y)\rightarrow (x+3,y-5)[/tex]
[tex]M(-2,8)\rightarrow V(-2+3,8-5)=V(1,3)[/tex]
[tex]N(-4,12)\rightarrow W(-4+3,12-5)=W(-1,7)[/tex]
[tex]O(-10,12)\rightarrow X(-10+3,12-5)=X(-7,7)[/tex]
[tex]P(-8,8)\rightarrow Y(-8+3,8-5)=Y(-5,3)[/tex]
[tex]Q(-6,6)\rightarrow Z(-6+3,6-5)=Z(-3,1)[/tex]
Therefore the vertices of polygon VWXYZ are V(1, 3), W(-1, 7), X(-7, 7), Y(-5, 3), and Z(-3, 1).
A triangle has two sides of length 4 and 7 what could the length of the third side be
We can solve this problem using a Pythagorean theorem.
[tex]c^2=a^2+b^2[/tex]
Where a is 7 and b is 4 and c is the hypothenuse we are looking for.
[tex]
c^2=7^2+4^2\Longrightarrow c=\sqrt{49+16}=\boxed{8.06}
[/tex]
The length of the third side is approximately 8.
Hope this helps.
r3t40
Drag the tiles to the correct boxes to complete the pairs.
The owner of a real estate agency is looking over the monthly commission earned by the top three brokers in the past month. She has calculated the mean and standard deviation, SD, of the their commissions, in dollars, as shown below.
Amanda Benjamin Cathy
Mean = 75,463.12
SD = 3,839.02 Mean = 74,124.87
SD = 4,062.50 Mean = 76,095.71
SD = 4,227.54
Match each broker with the correct description.
Amanda
Benjamin
Cathy
Which broker had the highest average monthly
commission during the past year?
arrowBoth
For which broker does 95% of the data lie
between $67,785.08 and $83,141.16
(2 SD from the mean)?
arrowBoth
For which broker does 68% of the data lie
between $70,062.37 and $78,187.37
(1 SD from the mean)?
arrowBoth
Answer:
highest mean: Cathy2SD limits given: Amanda1 SD limits given: BenjaminStep-by-step explanation:
This problem is essentially one of finding the matching mean. The given means are ...
A: 75,463.12B: 74,124.87C: 76,095.711. It should be no trouble to determine that the largest mean belongs to Cathy.
__
2. The mean is the average of the given 2SD limits, so is ...
(67,785.08 +83,141.16)/2 = 75,463.12 . . . . matches Amanda
Please note that you only need to work with about 3 significant figures:
(67.8 +83.1)/2 = 75.45 . . . . close enough to let you select Amanda
__
3. The mean is the average of the given 1SD limits, so is ...
(70.1 +78.2)/2 = 74.15 . . . . matches Benjamin
Answer:
68% of their data lie between $70,062.37 and $78,187.37
(1 SD from the mean) Benjamin
had the highest average monthly commission during the past year Cathy
95% of their data lie between $67,785.08 and $83,141.16
(2 SD from the mean) Amanda
Step-by-step explanation:
Susu is solving the quadratic equation 4x2 – 8x – 13 = 0 by completing the square. Her first four steps are shown in the table. In which step did Susu first make an error? Step 1 Step 2 Step 3 Step 4
Answer:
Step 3
Step-by-step explanation:
when solving by completing the square you are supposed to do (b/2)^2 and then add that to both sides.
In your example (-8/2)^2=16
You are supposed to add sixteen to both sides not 64
Susu forgot to divide 8 by 2 before she raised it to the to the second powerm that is why she got 64, which is incorrect.
Answer:
Step 2
Step-by-step explanation:
Susu is solving the quadratic equation [tex]4x^2 - 8x - 13 = 0[/tex] by completing the square
To apply completing the square method we need to get x^2 alone
Susu added 13 on both sides . So step 1 is correct
When we factor out 4, we divide both terms by 4
[tex]4(\frac{4x^2}{4} -\frac{8x}{2} )=13[/tex]
[tex]4(x^2-2x)=13[/tex]
Susu forgot to divide 8 by 4
So , error in step 2
A bag contains 5 blue marbles, 2 black marbles and 3 red marbles. A marble is randomly draw from the bag, what's the probability of drawing a red marble
Answer:
3/10 or 0.3
Step-by-step explanation:
You have 3 red marbles and 10 marbles in total, so you put how many red marble in the numerator and your total marbles in the denominator.
what is the equation of the line that is perpendicular to -x+y=7 and passes through (-1,-1)
Answer:
x + y = -2
Step-by-step explanation:
When you are given the equation of a line in standard form (or close to it, as here), you can make the equation for a perpendicular line through a given point by ...
swap the coefficients of the variables and negate one of themsubstitute the variable values at the given point to find the new constantHere, if we make the left side of the equation be ...
x + y =
we have done the first part of the above recipe. For the second part, we put the point values in for the variables:
x + y = (-1) + (-1) = -2
The equation of the perpendicular line is ...
x + y = -2
18. The supplement of an angle of 72° is an angle measuring
A. 144°.
B. 18°.
C. 108°.
D. 288°.
Answer: OPTION C.
Step-by-step explanation:
First, it is important to remember the definition of "Suplementary angles".
By definition, two angles are supplementary if they add up 180 degrees.
Therefore, the measure of the supplement angle of 72 degrees can be found by setting up the following expression:
[tex]x+72\°=180\°[/tex]
Being "x" the measure of the supplement angle of 72 degrees.
Finally, you need to solve for "x":
[tex]x=180\°-72\°\\\\x=108\°[/tex]
This matches with the option C.
3|2x-5|>21
BRAINLIEST solve for x
Answer:
(x < -1) ∪ (6 < x)
Step-by-step explanation:
Divide by 3
|2x -5| > 7
"Unfold." That is, put the negative of the constant value on the other side of the absolute value expression, using the same inequality symbol.
-7 > 2x -5 > 7 . . . . . . . . . . this notation is convenient for expressing the two disjoint inequalities, but is not strictly correct because it is not true that -7 > 7.
Add 5, then divide by 2
-2 > 2x > 12
-1 > x > 6 . . . . . . . . . . this should be interpreted as -1 > x OR x > 6. Usually a compound inequality is interpreted as having an AND connector.
The solution is ...
(x < -1) ∪ (6 < x)
_____
The more correct (and less convenient) way to "unfold" the absolute value is to write it as two distinct inequalities:
-7 > 2x -52x -5 > 7Each of these is then separately solved (by adding 5 and dividing by 2) to get ...
-1 > xx > 6Need help asap
Solve using the properties of logarithms:
5^㏒(base x) 7 = 7
(See picture for a written version of the equation.)
Answer:
x = 5
Step-by-step explanation:
Taking logarithms to the base 5, we get ...
[tex]\log_x{7}=\log_5{7}[/tex]
Comparing forms gives x = 5.
Answer:
x=5
Step-by-step explanation:
Find the slope of a line given the following points
Answer:
-6/5
Step-by-step explanation:
Slope = (y2 - y1)/(x2 - x1)
Plug in
Slope = (4 + 2)/(-2 - 3)
Slope = -6/5
Answer:
m = -6 / 5
Step-by-step explanation:
If you are given 2 points (x1, y1) and (x2,y2)
the slope is simply
m = (y2-y1) / (x2-x1)
m = (-2 - 4) / [3 - (-2)]
m = -6 / 5
Skylar and Wyatt both play soccer. Wyatt scored 2 times as many goals as Skylar. Together they scored 15 goals. Could Skyler have scored 3 goals? Why or why not?
Answer:
No, he did not score 3,
Because, 2 times of 5 is 10 and the sum of 10 and 5 is 15.
Step-by-step explanation:
Let x be the score of Skylar,
Since, Wyatt scored 2 times as many goals as Skylar.
So, Wyatt's score = 2x
Thus, total scores = x + 2x = 3x
According to the question,
3x = 15
x = 5
Hence, Skyler have scored 5 goals.
Because, 2 times of 5 is 10 and the sum of 10 and 5 is 15.
Final answer:
Skylar could have scored 3 goals because, based on the information provided, they scored 5 goals after solving the equation that evaluates the total goals scored by both Skylar and Wyatt.
Explanation:
To determine if Skylar could have scored 3 goals, given that Wyatt scored 2 times as many goals as Skylar and together they scored 15 goals, we can set up a simple algebraic equation. Let's denote the number of goals Skylar scored as S, which means that Wyatt scored 2S goals.
The total number of goals is the sum of the goals scored by both Skylar and Wyatt, which is S + 2S = 15. This simplifies to 3S = 15. By dividing both sides of the equation by 3, we get S = 5.
Therefore, Skylar could have scored 3 goals because the calculations show that Skylar scored 5 goals.
A 1-liter bottle of orange juice used to cost $2.85 at food market. Its price has increased; the new price is 110 percent of the original price. What is the new price of the juice? Round your answer to the nearest cent.
Answer:
$3.14
Step-by-step explanation:
Original cost = $2.85
new cost is 110% of original cost
or
new cost is [tex]\frac{110}{100}[/tex] x original cost
= [tex]\frac{110}{100}[/tex] x $2.85
= $3.135
= $3.14 (rounded to nearest cent)
Answer:
D/ 3.14
Step-by-step explanation:
need help with this question.
Answer:
distributive propertycommutative propertyassociative propertyStep-by-step explanation:
The distributive property lets you multiply each term inside parentheses by a factor outside parentheses. Here, we've gone from 4(x -1) to 4x -4.
The commutative property lets you change the order of elements of a sum or product. Here, we've gone from 3 + ( ) to ( ) + 3.
The associative property lets you move the parentheses from one group of elements of a sum or product to a different group of elements of the same sum or product. Here, we moved the parentheses from the first two terms to the last two terms of the sum.
_____
Comment on these properties in relation to the Order of Operations
The order of operations for evaluating an expression virtually ignores all of these properties, with the possible exception of the distributive property.
For evaluation of numerical expressions, any sum inside parentheses is evaluated to a single number before the multiplication implied by the parentheses is done. Hence the distributive property is not needed. (The distributive property must be used to remove parentheses when literal or mixed expressions are being evaluated.)
Likewise, the associative and commutative properties are ignored, because operations of addition or multiplication are always carried out left-to-right according to the order of operations. In actual practice, the associative and commutative properties can be used to simplify the evaluation of expressions, provided they are used properly and the meaning of the expression is not altered.
I really need some help please!
cos(a - B) + cos(a + B) = _____
A. 0
B. 2cosacosB
C. 2sinasinB
D. 2(cosacosB + sinasinB)
The answer is B.
I tried putting 9 for a and 7 for B. cos(9-7)+cos(9+7) = 2cos(9)cos(7)
[tex]\bf \textit{Product to Sum Identities} \\\\ cos(\alpha)cos(\beta)=\cfrac{1}{2}\left[\cfrac{}{}cos(\alpha-\beta)\quad +\quad cos(\alpha+\beta)\right] \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ cos(a)cos(B)=\cfrac{1}{2}\left[\cfrac{}{}cos(a-B)+cos(a-B) \right] \\\\\\ 2cos(a)cos(B)=cos(a-B)+cos(a-B)[/tex]
Find the area of the trapezoid .
Answer:
303.66 in²
Step-by-step explanation:
The area (A) of a trapezoid is
A = [tex]\frac{1}{2}[/tex] h (a + b)
where h is the perpendicular height and a, b the parallel bases
here h = 12.6, a = 19 and b = 29.2, so
A = 0.5 × 12.6 × (19 + 29.2)
= 0.5 × 12.6 × 48.2 = 303.66 in²
Answer: THIRD OPTION.
Step-by-step explanation:
The area of a trapezoid can be calculated with this formula:
[tex]A=\frac{h}{2}(B+b)[/tex]
Where "h" is the height, "B" is the long base and "b" is the short base.
You can identify that:
[tex]h=12.6in\\B=29.2in\\b=19in[/tex]
Therefore, you need to substitute these values into the formula [tex]A=\frac{h}{2}(B+b)[/tex] to calculate the area of that trapezoid. This is:
[tex]A=\frac{12.6in}{2}(29.2in+19in)\\\\A=303.66in^2[/tex]
This matches with the third option.
a country has a population of about 124 million people and an area of about 1.95km^2.
what is the population density of the country?
round to the nearest whole number
64 people/km^2
82 people/km^2
122 people/km^2
242 people/km^2
Answer:
64 people/m^2
Step-by-step explanation:
The population density can be found by diving the number of people by the amount of area
I assume that the answer should be in metre squares or the area should be 1.95 million km^2
124000000/(1.95*1000000)
=63.5897...
=64 people/m^2
Answer:
64M people/km^2
Step-by-step explanation:
To calculate the density of population you just have to divide the population by the area of the country or region that you are calculation, in this case it wouldbe like this:
Density of population= [tex]\frac{124 M}{1.95 km^{2} }[/tex]
D= [tex]\frac{124 M}{1.95 km^{2} }[/tex]= 63,58 M[tex]\frac{M}{km^{2} }[/tex]
So rounded to the neares whoel number would be 64 M people per squared kilometer.