An equilateral triangle is shown inside a square inside a regular pentagon inside a regular hexagon. Write an expression for the area of the shaded regions.
Answers
Answer:
the shaded area= area of the regular hexagon-the area of the regular pentagon+ the area of the square-the area of the equilateral triangle
Step-by-step explanation:
for the equation to be true we must first identify the shapes used.
the shapes used include
regular hexagonregular pentagonsquareequilateral trianglenow that we know the shapes we must find out which shapes are shaded
regular hexagon (shaded)regular pentagon (not shaded)square (shaded)equilateral triangle (not shaded)now we know which shapes are shaded we can now form the equation to find the area
i will turn the shapes into varibles so its easier on my brain and yours
area of the regular hexagon= harea of the regular pentagon= parea of the square= sarea of the equilateral triangle= tshaded area= Awe can know use the info gathered earlier to create the equation
shaded area = (area of the regular hexagon - area of the regular pentagon (the hexagon is shaded while the pentagon is not therefore you would subtract the area of the hexagon by the area of the pentagon))+(area of the square- area of the triangle( same reason as the hexagon and pentagon the triangle is not shaded therefore creating a gap in the square)
or in other words with the variables
A=( h-p )+( s-t )
if your still not convinced see the attached image
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Related Questions
Which of the following is a statistical question?
A.
How much time do seniors at a school spend playing sports?
B.
How many hours did Mary sleep last night?
C.
How long was Joey’s baseball game yesterday?
D.
What is the shortest distance between Georgia and North Carolina?
Answers
How much time do seniors at a school spend playing sports? (option A) is a statistical question.
What is a statistical question?A statistical question is a question that can be answered by collecting and analyzing data using statistical methods. It is a question that requires more than just a single numerical answer, and instead, involves variability or variation in the data.
In a statistical question, the data can come from a sample or a population, and the goal is to use the data to draw conclusions about the larger group. Statistical questions often begin with words such as "how many," "how much," "what is the average," "what is the distribution," and "what is the relationship between."
A statistical question is a question that can be answered by collecting data and analyzing it using statistical methods. Based on this definition, option A is the statistical question as it involves collecting data (i.e., the amount of time seniors spend playing sports) that can be analyzed using statistical methods.
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Which statements describe how the cardiovascular system and the respiratory system work together?
Select all that apply.
The cardiovascular system provides gases to the respiratory system to help it function.
The respiratory system provides oxygen used in the cardiovascular system.
The respiratory system provides nutrients and energy to the cardiovascular system.
The cardiovascular system provides the respiratory system with what it needs to function.
Answers
The respiratory system and the cardiovascular system are intertwined in the sense that the respiratory system provides oxygen used in the cardiovascular system.
What is the respiratory system?The respiratory system is the syetem that coordinates gaseous exchange in the body while the cardiovascular system is the system that deals with the circulation of gases in the body.
The cardiovascular system and the respiratory system work together in the following ways;
The respiratory system provides oxygen used in the cardiovascular system.Learn more about the respiratory system: https://brainly.com/question/9904853
if we know f(x), what would you do to find f(x+2)
Answers
Answer:
this is a transformation of the function meaning f(x) is our base f(x+2) is a transformation of f(x) by 2
Step-by-step explanation:
Answer:
see explanation
Step-by-step explanation:
given f(x) then to find f(x + 2)
substitute x = x + 2 into f(x)
Lastttt Ooonnneeeee!!! Thank you guys so much for all your helpppp!!
Answers
Answer:
[tex]=12\sqrt{15} -40\sqrt{5}\\[/tex]
Step-by-step explanation:
[tex](2\sqrt{10} )(3\sqrt{6} -5\sqrt{8} )=(2\sqrt{10} )(3\sqrt{6} )-(2\sqrt{10} )(5\sqrt{8} )[/tex]
[tex]=6\sqrt{60} -10\sqrt{80}[/tex]
[tex]=6\sqrt{4(15)} -10\sqrt{16(5)}[/tex]
[tex]=6(2)\sqrt{15} -10(4)\sqrt{5}[/tex]
[tex]=12\sqrt{15} -40\sqrt{5}[/tex]
Hope this helps
if f(x)= 3/x+2 - /x-3, complete the following statement: The domain for f(x) is all real numbers ___than or equal to 3.
Answers
Answer:
greater probably i am guessing its just a guess it also could be lower i dont know the question isnt clear
The table displays the scores of students on a recent exam. Find the mean of the
scores to the nearest 10th.
Score Number of Students
65
1
70
6
75
2
80
9
85
3
90
1
95
6
100
8
Answers
Answer:
85.3
Step-by-step explanation:
The Total number of students = 36. Add all the values but don't forget how much of that value there is. so for the score of 70, you would multiply that by 6 because that's how much students got it.
I need help for this question real quick. Please help if you can
Answers
Answer:
Exact area = 272 - 28.125pi square cm
Approximate area = 183.6875 square cm (when using pi = 3.14)
=======================================================
Explanation:
The trapezium has the parallel sides of 12+13 = 25 cm and 15 cm. Those vertical sides average to (25+15)/2 = 40/2 = 20. Multiply this with the height of the trapezium to get 20*24 = 480 sq cm as the area.
You could also use this trapezium area formula
A = h*(b1+b2)/2
A = 24*(25+15)/2
A = 480
Whichever method you use, the trapezium has an area of exactly 480 square cm.
--------------------------------------
The paralellogram has base of 13 and height of 16, so its area is base*height = 13*16 = 208 sq cm
The semicircle has area of 0.5*pi*r^2 = 0.5*pi*7.5^2 = 28.125pi square cm. Notice that I used r = 7.5 which is half of the diameter 15 cm.
The parallelogram and semicircle areas add to 208+28.125pi
---------------------------------------
Subtract this from the area of the trapezium to wrap things up
480 - (208+28.125pi)
480 - 208 - 28.125pi
272 - 28.125pi
This is the exact area of the blue shaded region in terms of pi
To get the approximate area, replace pi with something like 3.14 and compute.
So 272 - 28.125pi = 272 - 28.125(3.14) = 183.6875 is the approximate area when pi = 3.14
Use more decimal digits of pi to get a more accurate value.
Three 3-digit numbers are formed using the digits 1 through 9 exactly once each. The hundreds digit of the first number is 1. The tens digit of the second number is 8. The units digit of the third number is 5. The ratio of the first number to the second number to the third number is 1:3:5, respectively. What is the sum of the three numbers?
Answers
Answer:
1161
Step-by-step explanation:
We can solve this using what we know about multiples of 3 and 5. Multiplying the first number by 3 will give the value ...
1?? × 3 = 38? . . . . where ? is an unknown digit
The two least significant digits in the first number must be ones that give 80-something when multiplied by 3. They will be between 80/3 = 26 2/3 and 90/3 = 30. The requirement that the least significant digit be odd* means the choices are 27 or 29.
When the first number is 127, its triple is 381. The 1 in the least significant digit is disallowed by the requirement that the 9 digits of these numbers be unique. (127 already has 1 as its most-significant digit.)
So, the first number is 129, making the second number be 3×129 = 387, and the third number be 5×129 = 645.
The numbers have the ratios ...
129 : 387 : 645 = 1 : 3 : 5 . . . . . . . as required.
We note that the digits 1–9 are used exactly once each, as required.
The sum of the numbers is 1161.
_____
* Only odd numbers will give a product that ends in 5 when they are multiplied by 5. The requirement that the third number have a ones digit of 5 means the ones digit of the first number must be odd.
how to solve (3p⁴ + 2q⁴)²
Answers
Answer:
9p⁸ + 12p⁴q⁴ + 4q⁸
Step-by-step explanation:
(3p⁴ + 2q⁴)² ⇒ The square of (3p⁴ + 2q⁴)
Squares are such bases that multiply itself two times.
⇒ (3p⁴ + 2q⁴)(3p⁴ + 2q⁴)
Simplifying the expression using (a + b)(a + b) = (a x a) + (ab) + (ab) + (b²)
⇒ (9p⁸ + 6p⁴q⁴ + 6p⁴q⁴ + 4q⁸)
⇒ (9p⁸ + 12p⁴q⁴ + 4q⁸) = 9p⁸ + 12p⁴q⁴ + 4q⁸
We know the identity
(a+b)²=a²+b²+2abSo
[tex]\\ \rm\Rrightarrow (3p^4+2q^4)^2[/tex]
[tex]\\ \rm\Rrightarrow (3p^4)^2+(2q^4)^2+2(3p^4)(2q^4)[/tex]
[tex]\\ \rm\Rrightarrow 9p^8+4q^8+12p^4q^4[/tex]
Done
2. Find the slope of this line.
Answers
Answer:
Answered below
Step-by-step explanation:
Slope = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
You need 2 coordinates from your graph as long as the line you have is completely straight. You have 2 points it is (0,3) & (8,0)
So your y2 is 0
y1 is 3
So your x2 is 8
x1 is 0
Plug in and solve (keep in mind you should be expecting a negative slope since your line is sloping downwards as you advance to the right.
m = (0-3)/(8-0)
m = -3/8
m = slope = -3/8x = -0.375x
Slope is given as a number followed by value x
A. ((4 × 5) – 15) ÷ (2 + 22 – 1) =
((4 × 5) – 15) ÷ (2 + 22 – 1) =
B. 4 × (– 3 + (42 – 13)) + 8 ÷ (6 + 2) =
4 × (– 3 + (42 – 13)) + 8 ÷ (6 + 2) =
Answers
Answer:
A. 8 1/4 - 3 2/5 - (2 1/3 - 1/4) = 83/30 = 2 23/30 ≅ 2.7666667
B. 5
I toss a coin more then 60 times and i comes down tails 40% of the time. How many heads did i toss
Answers
Answer:
36.
Step-by-step explanation:
100 - 40 = 60% of heads.
60% = 0.60.
60 * 0.60 = 36.
Solve the equation. -2=6/7p
HURRY!
Answers
Answer:
[tex]\boxed{\sf{p=-\dfrac{3}{7}=-0.42 }}[/tex]Step-by-step explanation:
Isolate the term of p from one side of the equation.
-2=6/7pFirst, multiply by 7p from both sides.
-2*7p=6/7p*7p
Solve.
-14p=6
Then, you divide by -14 from both sides,
-14p/-14=6/-14
Solve.
p=-3/7
Dividing is another option.
-3/7=-0.42
Therefore, the correct answer is p=-3/7=-0.42.I hope this helps you! Let me know if my answer is wrong or not.
Hussain and sam are sharing money in the ratio of 2:5 sam got 70p how much money were they sharing in total
Answers
Answer:
if 5=70
2=?
cross multiply=28
add 70+28=98
Step-by-step explanation:
The following graph shows the feasible region for which system of inequalities?
Answers
3RD OPTION
[tex]\bold{EXPLANATIONS:}[/tex]
The feasible region which is shown is the graph of is of the solution of inequalities y<4,x>=0,x<4 and y>=1. which is option C.
What is inequality?An inequality is like an equation but is expressed in greater than ,less than, greater than or equal to, less than or equal to signs. It is equated to find the range of variables.
How to graph inequality?The given graph has three lines showing different inequality.
One which is parallel to x axis and present at y=4 is doted and because the region from this line is towards origin so the sign between y and 4 is of < sign and we don't use equal to sign as it is doted. The inequality will be y<4
Other line is also parallel to x axis at y=1 but it is not doted and the region shaded is away from the line and origin so we use > than sign and equal to sign. The inequality will be y>-1.
The solution lies in first quadrant so x>=0.
One line is parallel to y-axis at x=4 and because the solution is towards origin so we will use <=0 sign as it is not dotted also.
Hence the inequalities are y<4,x>=0<x<4, y>1.
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30 points!!!!
- Part A: Explain why x = 5 makes 4x - 13 19 true but not 4x -1 < 19. (5 points)
Part B: What value from the set (6,7,8,9,10} makes the equation 5x + 2 = 47 true? Show your work (5 points)
Answers
Answer:
Part A is ≤ means less than OR equal to. < only means less than
Part B is 9
Step-by-step explanation:
A: Because it would equal 19, and 19 is equal than 19. 4(5) - 1 would equal 19, which is equal to 19, and not less than. ≤ means less than or equal to. < means less than. So its not true.
B: 47 - 2, 45. Then 5 x 9 equals 45. So 5 x 9 equals 45, then add 2 would equal 47.
the side lengths of a triangle are 10,26 and 24 which one is the hypotenuse
a.24
b.26
c.10
d.50
Answers
The hypotenuse is the longer of the 3 sides:
answer: b.26
Answer:
[tex]\huge\boxed{\bf\: b. \: 26 \rightarrow hypotenuse }[/tex]
Step-by-step explanation:
Consider a right angled triangle with sides as 10, 26 & 24 units.
Here, we need to find the hypotenuse of the triangle.
The hyptenuse is the side which is opposite to the right angle (90°) & is also the longest side of the triangle.
Then, among the given values, we can clearly say that 26 > 10, 24.
Therefore, [tex]\boxed{\bf\: 26 \: units }[/tex] is the hypotenuse of the triangle with side lengths as 10, 26, 24 units.
[tex]\rule{150pt}{2pt}[/tex]
If a florist uses 10 red roses in a bouquet , how many white roses did she use?
Answers
Answer:
2 white roses.
A dozen is 12.
12-10 red roses = 2 white roses
Step-by-step explanation:
Answer:
she used 2 white rose
Step-by-step explanation:
12 is a dozen so 12-10 is 2 white roses
Hope this helps :)
Which graph would be produced by k*f(x) if f(x)=x squared k
x= -1/2
Answers
Answer:The square below represents one whole.
What percent is represented by the shaded area?
Step-by-step explanation:
M - 125, find the measure of
Answers
Answer:
125
Step-by-step explanation:
Assuming the lines are parallel :
n = 180-125
= 55
x = n
x = 55
z = 180-55
= 125
Select all the systems of equations that have exactly one solution.
Option 1. y = 4x - 1 and y = -4x + 7 Option 2. y = 3x + 1 and y = 2x + 1
Option 3. y = x + 2 and y = x + 7 Option 4. 2x + 2y = 20 and 3x + 3y = 30
Option 5. x + y = 40 and x + y = 90
Answers
Answer:
Option one and option 2
Step-by-step explanation:
Only ones that have 1 solution, option 3 and 5 have no solution, option 4 has infinetly many.
what value of x is in the solution set of 8x-6>12+2x
Answers
Answer:
3
Step-by-step explanation:
8x-6>12+2x
-2x -2x
_______________
6x-6 >12
+6 +6
____________
6x > 18
/6 /6
____________
x > 3
Hope this helps :)
The solution to the inequality 8x - 6 > 12 + 2x is, 3.
What are inequalities and their types?Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.
The symbol a < b indicates that a is smaller than b.
When a > b is used, it indicates that a is bigger than b.
a is less than or equal to b when a notation like a ≤ b.
a is bigger or equal value of an is indicated by the notation a ≥ b.
Given, An inequality 8x - 6 > 12 + 2x.
Separating the variable and constants to the other sides we have,
8x - 2x > 12 + 6.
6x > 18.
x > 3.
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what is equivalent to 8x-12y+32
Answers
Answer:
C. 16(0.5x - 0.75y + 2) = 8x - 12y + 32
Step-by-step explanation:
Answer:
Yeah I got the answer
Step-by-step explanation:
C option is correct
We will have to take common like this
. 16(0.5x - 0.75y + 2) = 8x - 12y + 32
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE
From the information in the diagram, what is m ∠G?
Answers
Answer:
107⁰
Step-by-step explanation:
The m<g =107⁰
I hope it helped you
The measure of the angle ∠PGL will be equal to 107 degrees.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.
The ratio of the matching sides will remain constant if two triangles are comparable to one another.
In triangles ΔPGL and ΔNHE,
PG = NH (given)
GL = HE (given)
If the angle ∠PGL and ∠NHE become congruent, the triangle ΔPGL and ΔNHE will be congruent to each other.
∠PGL = ∠NHE
∠PGL = 107°
The measure of the angle ∠PGL will be equal to 107 degrees.
More about the triangle link is given below.
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Virgil opened an account with a deposit of $815.
. The bank pays 5% interest compounded annually on this account.
• Virgil makes no additional deposits or withdrawals.
How much interest will the account have earned after 6.5 years?
Answers
Answer:
$304.15
Step-by-step explanation:
The amount of interest earned can be found from the formula ...
I = P((1 +r)^t -1)
I = $815((1 +0.05)^6.5 -1) ≈ $815(0.373189) ≈ $304.15
Virgil's account will have earned about $304.15 in interest in 6.5 years.
If two lines have the same slope, are they perpendicular?
Answers
Yes they would be perpendicular.
Determine if a quadrilateral with the given vertices is an isosceles trapezoid. Show and explain all steps to prove or disprove.
A(-5,0) B(5,0) C(-3, 4) D(3, 4)
Answers
Answer:
Step-by-step explanation:
Are the triangles similar? How do you know?
Answers
Answer:
They are similar because triangle AMY has sides double the size of CED. If you divide AMY's triangle sides by 2, you will have a triangle that is the exact size of CED. :)
Have an amazing day!!
Please rate and mark brainliest!!!
Answer:
The triangles are similar
Step-by-step explanation:
To tell whether the triangles are similar or not we can compare their side lengths
if the triangle are similar then their side lengths' will be proportional:
MY/CD = AY/ED
10/5 = 8/4 cross multiply expressions
40 = 40 as we can see from this result, the side lengths are proportional so we can say these triangles are similar
Find the length of the third side. If necessary, write in simplest radical form
Answers
Answer:
Step-by-step explanation:
Albert had a goal of saving $80. He saved 115% of his goal. How much money did Albert save
Answers
Answer:
$92
Step-by-step explanation:
