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
What is 7 less than y
In math
Answers
Answer:
The algebraic expression is "y - 7".
Step-by-step explanation:
"7 less" means "- 7", so you're subtracting 7 from y. You then write it as "y - 7".
y-7
Solution:7 less means we subtract 7.Therefore, the expression "7 less than y" looks like so:y-7So we take a number y and subtract 7 from it.Hope it helps.
Do comment if you have any query.
Find all values of k for which the equation 3x^2−4x+k=0 has no solutions.
Answers
Answer:
k>1 1/3
Step-by-step explanation:
i have rsm too bro
The given equation has no solution when K is any real number and k>12
We have given that
3x^2−4x+k=0
△=b^2−4ac=k^2−4(3)(12)=k^2−144.
What is the condition for a solution?If Δ=0, it has 1 real solution,
Δ<0 it has no real solution,
Δ>0 it has 2 real solutions.
We get,
Δ=k^2−144 here Δ is not zero.
It is either >0 or <0
Δ<0 it has no real solution,
Therefore the given equation has no solution when K is any real number.
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A farmer has an equal number of horses in 4 different fields on his farm. Which choice could be the total
number of horses?
205
232
253
289
Answers
Answer:
B -- 232
Step-by-step explanation:
because you can divide 232 by 4 and get a whole number.
plss help me noww if you can
Answers
Answer:
i cant see the picture at all
Step-by-step explanation:
Mary sells fruit with four of her friends. If the earnings are divided evenly, how
much must the business make in order for each person to earn $30?
What is the variable for this problem?
A. friends
ООО
B. profit ratio
C. expenditures
D. total earnings
E, fruit
Answers
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let the total money earned be x
since each of them get equal share, therefore :
[tex]\qquad \tt \dashrightarrow \:5 \times 30 = x[/tex]
[tex]\qquad \tt \dashrightarrow \:x = \$150[/tex]
And here, we used Total earning as the variable in the problem ~
So, correct choice is D
Total persons including Mary=4+1=5
Earnings per person =$30
Total earnings
5(30)150$Option D
Susana went on a trip. She covered a total of 135.7 km without making any stops along the way. and it took her exactly 2 hours to drive at her destination. At what average speed did she drive?
Answers
Answer:
67.85 kph
Step-by-step explanation:
Formula: Distance / Time = Speed per hour
135.7 / 2 = 67.85
I need help with these 2 problems Please and thank you :)
Answers
Answer:
the answer for the first is 3/4
and the answer for the second is 2x/x+5
Given f(x)=x^3-7x+k, and the remainder when f(x) is divided by x-5 is 78, then what is the value of k?
Answers
Answer:
the answer is k= -12
Step-by-step explanation:
use x-5= 0
x=5
PLEASE HELPP ITS DUE IN A HOUR
Charlotte is redecorating the master bedroom in her house. She has purchased a new bedroom set and also plans to paint the room and put in new flooring. The room is rectangular, with dimensions of 16 feet by 13.5 feet. The walls in the room are 9 feet tall, and the room contains two doors and two windows.
The new bedroom set she purchased includes a queen-sized bed, one nightstand, and a dresser. The following dimensions represent the rectangular length and width dimensions of the furniture.
Bed: 60 inches by 80 inches
Nightstand: 18 inches by 18 inches
Dresser: 64 inches by 18 inches
Charlotte plans to place the bed in the center of one of the long walls of the room. And, she plans to place the dresser in the center of the opposite long wall. The nightstand will be placed on one side of the bed.
Using the scale 1/4, inch = 1 foot, make a model scale drawing of the bedroom. Label the exact scaled dimensions of the room and sketch in the approximate placement of the furniture. Note: You do not need to calculate the exact scaled measurements of the furniture
Answers
Answer:
what happening to you
please answer your very
Match the following, cylinder rectangular prism cone triangular prism square prism
Answers
Cylinder = 2πrh + 2πr²
where "h" - height, "r" - radiusRectangular Prism = 2lw + 2lh + 2wh also 2B + Ph
"l" - length, "w" - width, "h" - heightCone = πrl + πr²
"l" - slant height, "r" - radiusTriangular Prism = 2B + Ph
"B" - area of one base, "P" - perimeter of base, "h" - heightSquare Pyramid = 2l l + l²
"l " is height, "l" is side lengthpls helppppppppppppp
Answers
So I will be giving you the formula
[tex]a^{2} +b^{2} =c^{2}[/tex]
This [tex]c^{2}[/tex] is the hypothenuse which is opposite to 90 degrees
ill start from B
so [tex]a^{2}[/tex] and [tex]b^{2}[/tex] can be any side except the side opposite to 90 degrees it shouldn't change.
Answer for B with steps:
=> [tex]11^{2} +13^{2} =c^{2}[/tex]
=>simplify [tex]290=c^{2}[/tex]
=> get square root using your calculator [tex]\sqrt{290} =\sqrt{c^{2}[/tex]
=>the answer to B is 17.0 which is just 17
Answer for C
=>[tex]7^{2} +x^{2} =12^{2}[/tex]
=>[tex]49+x^{2} = 144[/tex]
=> subtract 49 on both sides 95 so its [tex]x^{2} = 95[/tex]
=> take square root [tex]\sqrt{x} ^{2} = \sqrt{95}[/tex]
=> Its 9.7
For the rest of the hard questions you have to know whats width is and height and the properties of rectangles they are very easy
As long as you understand the concept-
follow the steps I provided.
. Marcella leaves home at 8:00 AM and drives to school, arriving at 8:45 AM. If the distance she
traveled is 27 miles, what is Marcella's average rate of speed in miles per hour?
Answers
Step-by-step explanation:
the formula is distance/time
since it is miles per hour and the time is given in minutes. you divide 45minutes by 60(to convert it to hour) and then you divide 27 by the answer
If the point (-4,b) is on the line what is the value of b
Answers
Answer: if you are talking about a grid than the answer is 0.
Step-by-step explanation: this is becasuse the y coordinate is the elevation of the x coordinate. B is 0 because it is on the line meaning it has no elevation
LMNO is a kite. LO is 5 less than two times NO. The perimeter is 32 cm. Let x represent the length of side NO.
Answers
Answer: 7 cm
Step-by-step explanation:
please help its geometry. Solve for x
Answers
Answer
the answer is x = 9 root 3
hurry !!! not much time left
Answers
The correct answer would be:
-10x + y = 4
10x - y = -4
Which type of function best models the data in the table?
A. linear
B. exponential
C. quadratic
D. inverse variation
Answers
Answer: Your answer is indeed D. Inverse variation.
Hope this helped!
Answer:
first question:
inverse variation
second question:
for evenly spaced x-values, the ✔ difference of consecutive y-values is not constant.
Step-by-step explanation:
hope this helps!! have an amazing day <3
What is a radian?
A) an angle measure with an arc length equal to one radius length
B) an angle measure with an arc length equal to one diameter length
C) an arc length that is the length of one diameter
D) a radius that is 3.14 inches long
Answers
Answer:
The answer is A
Step-by-step explanation:
An angle measure with an arc length equal to one radius length.
Given,
Radian.
Here,
Radian : An angle measure with an arc length equal to one radius length.
Radian is a measure of angle .
Degree measurements can be converted into radians.
For example,
30° = 30° × π/180°
30° = π/6
Thus radians can be converted into degrees by vice versa .
Know more about radians,
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Find the mean absolute deviation of the data below:
7,4,7,7,2,10,12,8,7,5
Answers
mean formula number of values divided by the total of all the values
so
100 divided by 10
ans 10
Which polynomial represents the area of the rectangle?
44-6
x +1
O 4x2 - 2x - 6
O 4.2 - 6
O 4.c+ 2x - 6
0422 - 10.2 - 6
Answers
4x2 - 2x - 6
Please answer quick its due soon!!
Answers
Answer:
50000000 HAIII OK YA IS WRONG BYY GL
Step-by-step explanation:
Answer/Step-by-step explanation:
A. constant rate is y = 2x
(Since it goes up by 2 and over one)
B. unit rate is 2 dollars per pound
C. y = 2 (10)
y = 20
$20 per 10 pounds of pears
Hope this helps :)
Which fee could decrease an investor’s return on investment when the investor may not have bought or sold any stock for a significant period of time?
Answers
Answer:
the answer is B
Step-by-step explanation:
Answer:
inactivity fee
Step-by-step explanation:
Marla is making a tree skirt out of fabric. She is using a pattern based on the circle below. Marla will need to remove a sector of the circular fabric. The sector has a central angle of 60° and the radius of the circle is 3 feet.
Answers
Answer:
The area of sector is 4.71mi^2
Step-by-step explanation:
The area of the sector that Marla needs to remove is (3/2)π square feet.
How to find the surface area of some object?
Find the area that its outer surfaces possess. Sum of all those surfaces' area is the surface area of the considered object. Area is measured in terms of standard areas. Therefore, they are relative to each other.
We normally use a square of unit length as its size. That unit can be 1 cm, 1 meter, etc.
Now when we want to find surface area of some object, then the value we get tells us that you can fit this many unit sided squares on that object's surface.
We are given that;
Central angle = 60°
The radius of the circle = 3 feet.
Now,
To find the area of the sector that Marla needs to remove, we can use the formula:
A = (θ/360)πr^2
where A is the area of the sector, θ is the central angle of the sector, r is the radius of the circle, and π is pi (approximately 3.14).
Plugging in the values we know, we get:
A = (60/360)π(3)^2 A
= (1/6)π(9) A
= (3/2)π
Therefore, the area of the fabric will be (3/2)π square feet.
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Jan'ai was asked to determine the minimum for a function with zeros located at –1 and 5, which also has a y-intercept of (0, –25). her work is shown. which best describes the first error in jan'ai's work? she incorrectly determined the factors for the beginning function. she incorrectly determined the a value. she incorrectly transformed the equation to standard form. she incorrectly determined the x-coordinate of the vertex.
Answers
The first error in Jan'ai's work in determining the considered function is given by: Option D: She incorrectly determined the x-coordinate of the vertex.
What are the coordinates of vertex for a quadratic function?For a quadratic function of the form [tex]y = ax^2 + bx + c[/tex], its vertex form is obtained as:
[tex]y = ax^2 + bx + c\\y =a(x^2 + bx/a) + c\\y = a(x^2 + 2(b/2a)x + (b/2a)^2 -(b/2a)^2 )+ c\\y = a(x^2 + 2(b/2a)x + (b/2a)^2) -a \times (b/2a)^2 + c\\\\y = a(x+b/2a)^2 - a \times (b/2a)^2 + c[/tex]
For the form [tex]y = a(x-h)^2 + k[/tex], the vertex has coordinates (h, k)
Thus, for the obtained equation [tex]y = a(x+b/2a)^2 - a \times (b/2a)^2 + c[/tex], we get the coordinates of vertex as:
[tex]h = -b/2a[/tex], [tex]k = c - a\times(b/2a)^2[/tex]
Thus, the coordinates of vertex of [tex]y = ax^2 + bx + c[/tex] is:
[tex](h,k) = (-b/2a, c - a \times (b/2a)^2 )[/tex]
The missing steps of work of Jan'ai are:
Begin to write a function in factored form. [tex]f(x) = a(x+1)(x-5)[/tex]Substitute x = 0, y = f(x) = -25 to determine a. [tex]-25 = a(0+1)(0-5)[/tex]Simplify and solve to find a. [tex]a=5[/tex]Rewrite the function. [tex]f(x) = 5(x+1)(x-5)[/tex]Rewrite in standard form. [tex]f(x) = 5x^2-20x-25[/tex]Find the x-coordinate of the vertex. [tex]x = -20/2(5) = -20/10; x = -2[/tex]Find the y-coordinate of the vertex.[tex]y = 5x^2-20x-25[/tex]
[tex]y = 5(-2)^2-20(-2)-25[/tex]
[tex]y = 35[/tex]
so (-2,35) is the coordinate of the vertex, which denotes the minimum.
So, as we see, in the 5th step, Jan'ai had the quadratic function [tex]f(x) = 5x^2-20x-25[/tex],
Comparing this to [tex]f(x) = ax^2 + bx + c[/tex], we get a = 5, b = -20, c = -25
The vertex's x-coordinate will be on -b/2a = -(-20)/ 2(5) = 20/10 = 2
But Jan'ai didn't putted that negative sign before b. in the 6th step.
Thus, the first error in Jan'ai's work in determining the considered function is given by: Option D: She incorrectly determined the x-coordinate of the vertex.
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Answer:
The answer is D on edge
Step-by-step explanation:
A triangle has sides of length 6 8 and 10. Do the sides form A Pythagorean triple? Explain
Answers
36+64 and 10*10 =100
B is correct
How many members did not vote for the art club the percent is 75% and there are 60 people?
Answers
Answer:
45 people
Step-by-step explanation:
Find what 1/4 (25%) of 60 is by dividing it by 4.
You get 15, then multiply that (25%) by 3 to get 75%.
15x3 = 45
45 is your answer.
75 / 100 × 60 = 45 members
Number of members who did not vote
60 - 45 = 15 members
Find the distance between the points
Answers
Answer:
10
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
[tex]x1 = 2 \: \: y1 = 1 \\ x2 = 8 \: \: \: y = 9 \\ \\ \\ distance \: between \: two \: poit \: \\ = \sqrt{(x2 - x1) {}^{2} + (y2 - y1}) {}^{2} \\ \sqrt{(8 - 2) {}^{2} + (9 - 1) {}^{2} } \\ \sqrt{(6) {}^{2} + (8) {}^{2} } \\ \ = \sqrt{36 + 64} \\ = \sqrt{100 } \\ = 10[/tex]
Steve travels from NYC to Boston at 90 mph
and returns to NYC at 60 mph taking 6 hours
total for the round-trip without stopping. What is
the distance between NYC and Boston?
(A) 192 mi.
(B) 208 mi.
(C) 216 mi.
(D) 224 mi.
(E) 272 mi.
Answers
Answer:
C
Step-by-step explanation:
d / rate = time
d / 90 + d/60 = 6 hours
(2d+ 3d)/180 = 6
5d = 1080
d = 216 miles
The distance from NYC to Boston is 216 miles.
We have a guy named Steve travels from NYC to Boston at 90 mph and returns to NYC at 60 mph taking 6 hours total for the round-trip without stopping.
We have to determine distance between NYC and Boston.
What is the formula to calculate the distance travelled by the body moving with speed ' v mph ' for ' t hours '.The distance covered by the body will be -
d = v x t
According to question, we have -
Assume that the distance travelled by Steve from NYC to Boston be x.
Then, total distance covered for the round trip = 2x.
From NYC to Boston -
Suppose that in going from NYC to Boston, Steve takes t hours. Then
x = 90 x t (1)
From Boston to NYC -
Steve will take (6 - t) hours to travel the distance. Then -
x = 60 x (6 - t) (2)
Now, Equating the equations (1) and (2), we get -
90 x t = 60 x (6 - t)
1.5t = 6 - t
1.5t + t = 6
2.5 t = 6
t = [tex]\frac{12}{5}[/tex] = 2.4 hours
Therefore -
x = 90 x 2.4 = 216 miles
Hence, the distance from NYC to Boston is 216 miles.
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PLEASEE HELPPPPPPP ASAPPPPPPPPP
Answers
Answer:
yes its 50
Step-by-step explanation:
if you need an explanation let me know!
Please help me please
Answers
Answer: x is 125
Step-by-step explanation: Angles P and S are also consecutive angles, adding up to 180 degrees. 180-55 = 125, so adding the two angles together is 180 degrees. Thus, x is 125.