Answers
Step-by-step explanation:
first of all, your teacher wrote nonsense in the answer options : an area is always given in squared units. never in cubed units (which would be volume).
the area is : 1/2 × perimeter × apothem
the perimeter is simply 12 × 5 = 60 meters.
apothem = (a/2)×cot(pi/12) = 5/2 × cot(pi/12) =
= 9.330127019... meters
so the area is
1/2 × 60 × 9.330127019... = 279.9038106... m²
therefore, the third answer option is correct (although it is m², and not m³).
by the way, you have question 3 wrong. I answered this with the correct apothem calculation in the explanation for question 4.
Related Questions
If the radius of a circle is 2 inches, what is the area of the circle? Use 3.14 for pi
Answers
Answer:
12.56 in squared
Step-by-step explanation:
the formula for area is radius x radius x pi
So you do 2x2x3.14
(I would just do 4x3.14)
And then you get 12.56
Solve for x. Round to the nearest tenth, if necessary.
X=???
Answers
Answer:
160
Step-by-step explanation:
[tex]the \: value \: in \: angle \: e = 180 - (90 + 60) \\ = 180 - 150 = 30degrees \: \\ using \: sinerule \: to \: find \: x \\ \frac{sin(90)}{x} = \frac{sin(30)}{80} \\ making \: x \: subject \: \\ x = \frac{sin90 \times 80}{sin30} \\ x = \frac{1 \times 80}{0.5} \\ x = \frac{80}{0.5} \\ x = 160[/tex]
Answer: x=160
Step-by-step explanation:
PLEASEEE HELP!!! 20 POINTSS
Answers
Answer:
Option c
Step-by-step explanation:
-7 + (19 + 5) = (-7 + 19) + 5
LHS = -7 + (19+5)
= -7 + 24
= 17
RHS = (-7 + 19) + 5
= 12 + 5
= 17
LHS = RHS
associative property of addition: When three or more numbers are added, the result remains same regardless how the numbers are grouped
Answer:
C
Step-by-step explanation: I think it is right but I don't know I am sorry if I get it wrong!
How many lines of symmetry does this triangle have? 10 ОА. о OB. 1 O c. 2 OD. 3 O E 4
Answers
Answer: D
Step-by-step explanation: to know symmetry you must draw line from vertices of the figure ad the triangle has 3 vertices so you will draw 3 lines
Please answer:
Evaluate.
Answers
Answer:
6
Step-by-step explanation:
Permutation formula:
nPr=(n!)/(n-r)!
applying the formula
3P3= (3!)/(3-3)!
3!/0!
6/1
6
Which shows one way to determine the factors of x3 4x2 5x 20 by grouping? x(x2 4) 5(x2 4) x2(x 4) 5(x 4) x2(x 5) 4(x 5) x(x2 5) 4x(x2 5)
Answers
The equation which shows one way to determine the factors of x3 4x2 5x 20 by grouping is x²(x + 4) + 5(x + 4).
How to find factor of polynomial?The factor of a polynomial is the terms in linear form, which are, when multiplied together, give the original polynomial equation as a result.
The polynomial equation given in the problem is,
[tex]x^3 +4x^2 +5x+ 20[/tex]
Take out the greatest common factor from the first two term which is x^2 and from the last two terms which is 5 as,
[tex]x^2(x +4)+5(x+ 4)\\[/tex]
Simplify it further,
[tex](x+4)(x^2+5)[/tex]
Thus, the equation which shows one way to determine the factors of x3 4x2 5x 20 by grouping is x²(x + 4) + 5(x + 4).
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Luke is cutting a board to make a trapezoid for a project. What is the angle measure of the piece left over after Cut A?
Answers
The angle measure of the piece is the amount of space left between the vertices
The angle of the piece left over after cut A is 35 degrees
How to determine the angle measure of cut A?In cut A, we have the following expression
x + 55 = 90
Subtract 55 from both sides to determine the measure of angle left
x = 35
Hence, the angle of the piece left over after cut A is 35 degrees
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What is the average high temperature forecast for the five days 55, 57, 60,45,50
Answers
Answer:
53.4
Step-by-step explanation:
We first do
55 + 57 + 60 + 45 + 50
55 +57 + 45 + 110
57 + 100 + 110
57 + 210
267
Now we do 267 divided by 5.
This is 53.4
Which
group of numbers is listed from least to
greatest?
Answers
Answer:
option 4
using absolute value, the 2 line thing (||) the order would be 2,3,5,7,9 which is least to greatest
Write a statistical question that you might ask to gather information about the recycling habits of your neighbors
Answers
Answer:
How often do you recycle?
Step-by-step explanation:
Statistical questions are questions where results may vary meaning that depending on who you ask this question you can get very different but measurable answers.
. . . .. . . ................................
Answers
Answer:
4 1/10
Step-by-step explanation:
:) Hope this helps
Explain for me functions in mathematics
Answers
Step-by-step explanation:
You can say that a function take input and outputs something back. for example, let's y = X + 3. You may think this is a equation.Yeah it is but it is also a function. The original function notation is for example f(X) = X+3.But we set y = f(X) so it turn out to be y=X+3.Basically these two have the same meaning.X is a input in the function above.If you set X= 5,the input is now 5 and you will get a kinda output of 5+3 =8.so y= 8 or f(5) = 8.That's all.You can check out more on the internet.
The box-and-whisker plot below shows the age distribution of people at a family reunion. a box-and-whisker plot is shown. the number line goes from 8 to 72 in increments of 8. the whiskers range from 8 to 71, and the box ranges from 23 to 47. a line divides the box at 38. the stem-and-leaf plot below shows the same data. a stem and leaf plot is shown. the stems from top to bottom are 0, 1, 2, 3, 4, 5, 6, 7. the first column of leaves is 8, 0, 3, 1, 0, 0, 0. the second column of leaves is 9, 1, 3, 6, 1, 2, 1. the third column of leaves is blank, 4, 5, 6, 2, 3, blank. the fourth column of leaves is blank, 5, 6, 8, 4, 6, blank. the fifth column of leaves is blank, blank, 6, 9, 6, blank, blank. the sixth column of leaves is blank, blank, blank, 9, blank, blank, blank. the seventh column of leaves is blank, blank, blank, 9, blank, blank, blank. which of the following best explains why one graph appears skewed and one graph appears symmetrical? the scale of the box-and-whisker plot does not start at zero. the interval of the box-and-whisker plot is too large. the interval of the stem-and-leaf plot is not consistent. the scale of the stem-and-leaf plot is too small for the set of data.
Answers
One graph appears skewed, and one graph appears symmetrical because the interval 2 stem and leaf plots is not consistent, statement third is correct.
What is a histogram?It is defined as the numerical data representation in the graph with the help of a bar without space. The histogram gives an idea about the data's approximate distribution.
The number line goes from 8 to 72 in incremental of 8, such as:
8, 16, 24, 32, 40, 48, 56, 64, 72
The whiskers range is from 8 to 71 and
Box ranges from 23 to 47.
The line divides the box at 38.
The mid-point of the line plot is at 40 and at first inspection, the stem and leaf plot appears to be accurate. In the stems, however, 5 is omitted entirely, giving the pattern a symmetrical rather than skewed appearance.
Thus, one graph appears skewed, and one graph appears symmetrical because the interval 2 stem and leaf plots is not consistent, statement third is correct.
Learn more about the histogram here:
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Determine the area of the shaded region. Pool Use 3 for
[tex]\pi[/tex]
Answers
Answer:
36 sq in
Step-by-step explanation:
First find the area of the square: 12*12 = 144 in^2
next find the area of 1 circle, im assuming the circles are tangent to the sides of the square and to each other, so each circle has a radius of 12/4 or 3in, the area of each circle is then pi*3^2 or 27 in^2
the total area of the 4 circles is then 27*4 = 108in^2
144-108=36in^2
Identify the radius, height, and diameter of the cylinder.
30 in.
12 in
Radius:
inches
Height:
inches
Diameter:
inches
Answers
Answer:
Radius: 12 inches
Height: 30 inches
Diameter: 24 inches
Step-by-step explanation:
Radius: 12 inches
Height: 30 inches
Diameter: 24 inches
Which value of b will cause the quadratic equation x2 bx 5 = 0 to have two real number solutions?
Answers
A value in the interval (-∞,-2√5] ∪[2√5,∞) will give the two real number solutions.
Given quadratic equation is:
[tex]x^{2} +bx+5=0[/tex]
What is a quadratic equation?Any equation of the form [tex]ax^{2} +bx+c=0[/tex] is called a quadratic equation where a≠0.
To have two real number solutions the discriminant of a quadratic equation should be greater than or equal to zero.
[tex]b^{2} -4(1)(5)\geq 0[/tex]
[tex]b^{2} -20\geq 0[/tex]
[tex]b^{2} -(2\sqrt{5} )^2\geq 0[/tex]
[tex](b+2\sqrt{5} )(b-2\sqrt{5} )\geq 0[/tex]
[tex]b\in(-\infty,-2\sqrt{5} ]\cup [2\sqrt{5} ,\infty)[/tex]
Hence, a value in the interval (-∞,-2√5] ∪[2√5,∞) will give the two real number solutions.
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A credit card is like a loan.
Select the three statements that explain why.
Answers
Answer:
The top right is the only incorrect one
Step-by-step explanation:
When money comes directly out of your bank account that is considered debit, not credit.
A line chart that has no axes but is used to provide information on overall trends for time series data is called a ________.
Answers
Answer:
sparkline
Step-by-step explanation:
A line chart that has no axes but is used to provide information on overall trends for time series data is called a sparkline.
Brianna was offered a job that paid a salary of $77,000 in its first year. The salary
was set to increase by 2% per year every year. If Brianna worked at the job for 5 years,
what was the total amount of money earned over the 5 years, to the nearest whole
number?
Answers
Answer:776
Step-by-step explanation:
77
Brianna earned a total of approximately $400,652 over the 5 years.
What is an expression?A grouping of variables, symbols, and/or numbers used to represent a mathematical quantity or relationship is known as an expression in mathematics. Expressions might be straightforward with just one number or variable or complex with many terms, operations, and functions.
To find the total amount of money Brianna earned over 5 years, we need to calculate her salary for each of the 5 years and add them up.
In the first year, Brianna's salary was $77,000.
In the second year, her salary increased by 2%, so it became:
$77,000 + 0.02 x $77,000 = $78,540
In the third year, her salary increased by another 2%, so it became:
$78,540 + 0.02 x $78,540 = $80,106.80
In the fourth year, her salary increased by 2% again, so it became:
$80,106.80 + 0.02 x $80,106.80 = $81,700.94
In the fifth and final year, her salary increased by 2% once again, so it became:
$81,700.94 + 0.02 x $81,700.94 = $83,303.11
To find the total amount of money Brianna earned over the 5 years, we just need to add up her salaries from each year:
$77,000 + $78,540 + $80,106.80 + $81,700.94 + $83,303.11 = $400,651.85
Therefore, Brianna earned a total of approximately $400,652 over the 5 years.
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52.5% rounded to 1 decimal point
Answers
The probability of winning a prize in the drawing is one in a million. What is the probability if not winning a prize in the drawing?
Answers
Answer: Its 999,999
Step-by-step explanation:
You just take your chance of losing and minus your chance of winning to it.
PLS HELP PLS HELP
If x = -4 and y = 3x – 1, then y
equals what number?
I NEED TO FINISH THIS <3
Answers
Answer:
y=-13
Step-by-step explanation:
if x=-4 and y=3x-1,
plug the value for x into the y= equation:
y=3(-4)-1
multiply through distributing 3
y=-12-1
y=-13
hope this helps <3
Please help I will give brainliest.
Answers
Answer:
Options: 1, 4 & 6
Step-by-step explanation:
Yes:
1. [tex]-1(x-1)^{2} +9=-1(x^{2} -2x+1)+9=-x^{2} +2x-1+9=-x^{2} +2x+8[/tex]
4. [tex]-x^{2} +2x+8[/tex]
6. [tex](x+2)(4-x)=2x-x^{2} +8=-x^{2} +2x+8[/tex]
No:
2. [tex]-(x-9)^{2} +1=-(x^{2} -18x+81)+1=-x^{2} +18x+81+1=-x^{2} +18x+82[/tex]
3. [tex]x^{2} +2x-8[/tex]
5. [tex](x+2)(x-4)=x^{2} -2x-8[/tex]
Hope this helps
HELP! WILL GIVE BRAINLEST!
Answers
Answer:
option (a)
Step-by-step explanation:
0,pie is the answer
a school contains 583 pupils. if there are 37 girls than boys, find the number of boys.
Answers
Answer:
[tex]583 - 37 = 546[/tex]
Answer:
546
Step-by-step explanation:
subtract the numbers Frome each other
Help soon, Zearn is bad at explaining lol
Answers
hey...
hope it really helps...!!!
Find the distance between the two points. (3,4) ✓ [?] (-2,-1) Enter the number that goes beneath the radical symbol.
Answers
The distance between the points (3,4) and (-2,-1) is found being 5√2 units.
What is the distance between two points ( p,q) and (x,y)?The shortest distance(length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:
[tex]D = \sqrt{(x-p)^2 + (y-q)^2} \: \rm units.[/tex]
We've to find the distance between two points
(p,q) = (3,4)
and (x,y) = (-2, -1)
We get it as:
[tex]D = \sqrt{(x-p)^2 + (y-q)^2}\\\\D = \sqrt{(-2-3)^2 + (-1-4)^2} \\\\D = \sqrt{5^2 + 5^2} = 5\sqrt{2} \: \rm units[/tex]
Thus, the distance between the points (3,4) and (-2,-1) is found being 5√2 units.
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On Monday night, you have 2 hours of homework. On Tuesday night, you have 3
hours of homework! What is the percent of change in your homework amount
between Monday and Tuesday?
Answers
Answer:
New value - Old value / Old value (I memorize it as NOO)
3-2/2
1/2 convert to a percentage = 50 percent
The figure below is a rectangle with the dimensions given. If the perimeter of the rectangle is 48 cm, what are the
dimensions of the rectangle?
Х
3x
Answers
Answer:
6 cm and 18 cm.
Step-by-step explanation:
We are given that:
Dimensions of rectangle: x and 3xPerimeter of rectangle: 48 cmThe perimeter of any rectangle is:
L + W + L + WTo determine the dimensions of the rectangle, we need to determine the value of "x". The word "dimensions" are the length and the width of the rectangle. Since the question has not stated the length and width, we can consider the length as x and the width as 3x.
⇒ (x) + (3x) + (x) + (3x)It is also given that the perimeter of the rectangle is 48 cm. Thus, the formula with the length and the width substituted is equivalent to 48 cm.
⇒ (x) + (3x) + (x) + (3x) = 48 cmIt is required for the expression on the left hand side to be simplified. This can be done by combining like terms.
⇒ x(1 + 3 + 1 + 3) = 48 cm⇒ x(8) = 48 cmThen, we can divide 8 both sides to isolate the coefficient from "x". Once the coefficient of "x" is isolated, we will obtain the value of "x".
⇒ x(8)/8 = 48/8⇒ x = 6Finally, substitute the value of "x" into the length and the width. We considered the length to be "x" and the width to be "3x". Therefore,
⇒ Length = x cm = 6 cm⇒ Width = 3x cm = 3(6) cm = 18 cmThus, the dimensions of the rectangle are 6 cm and 18 cm.
Now
2(L+B)=482(x+3x)=482(4x)=488x=48x=6B=6
L=3(6)=18
Which statements are true? check all that apply. the data is best represented by an exponential model. the data is best represented by a quadratic model. if the price is $5 per unit, the expected profit is approximately $4,686. if the price is $80 per unit, the expected profit is negative. as the price per unit increases, the profit increases indefinitely.
Answers
The statements true are B)The data is best represented by a quadratic model. and C) If the price is $5 per unit, the expected profit is approximately $4,686.
We have the Information regarding the data is given below
What is the meaning of expected profit?Expected profit is the probability of receiving a certain profit times the profit, and the expected cost is the probability that a certain cost will be incurred times the cost.
The data should be best presented by the quadractic model.
In the case when the price should be $5 per unit so the profit should be $4,686.
Therefore,option B and option C these two options are correct.
Theefore the true statements are,The data is best represented by a quadratic model. and If the price is $5 per unit, the expected profit is approximately $4,686.
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Answer:
b,c
Step-by-step explanation:
trust