PLEASE HELP. WILL MARK BRAINIEST!!! 1. What shape should Kylee use to draw the swimming pool on the diagram? 2.If Kylee wanted to put the swimming pool directly between the flower beds, at what point would the center of the swimming pool be? 3.Use the point you identified in Part 1 to write an equation that will draw the swimming pool on the diagram so that it is directly between the flower beds. 4.Can Kylee place the swimming pool directly between the flower beds? Use the equation you wrote in Part 3 prove or disprove that the swimming pool will touch one of the flower beds. (Hint: Plug in points that are on a flower bed to check if they are also on the circle.) 5.Where can Kylee put the pool? Write an equation that will draw the pool on the diagram so that it does not touch anything.
Answers
Answer:
1) A rectangular shape
2) Point (30, 50)
3) (x - 30)² + (y - 50)² = 10²
4) Yes, the swimming pool will touch the flower beds
5) Point (45, 25)
Step-by-step explanation:
1) Given the number of shapes that are rectangles (4) and the number of circular shapes (1) to conserve more space Kylee should drw the swimming pool with a rectangular shape
2) So as to avoid touching the flowerbeds which are 20 feet apart, the center of the swimming pool will be moved slightly up to (30, 50)
3) The equation that will draw the swimming pool is the equation of a circle, given as follows
(x - h)² + (y - k)² = r²
Where (h, k) is the coordinate of the center of the circle, and r is the radius of the circle,
Given that the diameter, D, of the circle = 20 feet, the radius, r = D/2 = 20/2 = 10 feet
The equation of the circle is therefore;
(x - 30)² + (y - 50)² = 10²
4) The coordinates of the center of the flower bed is (30, 45) which gives
(x - 30)² + (y - 45)² = 10²
Where the coordinates of the side of the flower pot is (20, 45), we have;
(20 - 30)² + (45 - 45)² = 10²
(-10)² = 10² = r²
Hence, point (20, 45) is on the circle
The other flower bed side has coordinates (40, 45) which gives
(40 - 30)² + (45 - 45)² = 10²
10² = r² = 10²
Point (40, 45) is also on the circle
Therefore, the swimming pool will touch the flower beds
5) At point (45, 25), we have;
(x - 45)² + (y - 25)² = 10²
The closest point is the patio with coordinates (40, 15) which gives;
(40 - 45)² + (15 - 25)² = 10² = 100
(-5)² + (-10)² = 125 > 100
Therefore, point (40, 15), is not on the circle.
Related Questions
HELP!
Choose the slope and y-intercept that
correspond with the graph.
Answers
Answer:
The second answer
Step-by-step explanation:
Remember rise over run since this is a negative line go down 4 and over to the right 3. Now you found your slope which is -4/3. To find the y intercept simply look at the y axis and look at where the line passes through it
Factorise each expression.
Answers
Answer:
Multiple Answers
Step-by-step explanation:
A) c^2+4c
(c+2c)^2
We just needed to see the sqrt of the terms
d) No perfect sqrt, so this is a coomon factor problem
3m(m+1)
g) Another common factor problem
3x(2x+1)
j) another common factor problem
3y(9y-5)
Answer:
a- c²+4c
c(c+4)
d- 3m²+3m
3m(m+1)
g- 6x²+3x
3x(2x+1)
j- 27y²-15y
3y(9y-5)
The principal feature of the redesigned checks is a series of printed instructions that the company hopes will help merchants confirm a check’s authenticity, which includes reminders to watch the endorsement, compare signatures, and view the watermark while holding the check to the light.
(A) which includes reminders to watch the endorsement, compare signatures, and view
(B) which include reminders for watching the endorsement, to compare signatures and view
(C) by including reminders for watching the endorsement, comparing signatures, and viewing
(D) including reminders to watch the endorsement, comparing signatures and viewing
(E) including reminders to watch the endorsement, compare signatures, and view
Answers
Answer:
(E) including reminders to watch the endorsement, compare signatures, and view
Step-by-step explanation:
The principle features that will help the company to confirms checks authenticity. It include endorsements and compare the signatures with the designated signatories. If the signatures are matched correctly with the assigned signatories the check is hold in light to view the watermark on it.
Beth says that the graph of g(x)=x-5+1 is a
Translation of 5 units to the left and 1 unit up of
F(x)=x
She continues to explain that the point (0,0) on the square root function would be translated to the point (-5,1) on the graph of g(x) is Beths description of the transformation correct? Explain
Answers
Answer: No.
Step-by-step explanation:
The graph of g(x) = x - 5 + 1 is a Translation of 5 units to the right not to the left and 1 unit up of F(x) = x
the point (0,0) on the square root function would be translated at the same value which will be to the point (5,1) on the graph of g(x)
Beths description of the transformation is therefore incorrect.
Answer:
No, Beth is not correct. The function g(x) has an h value of 5 and a k value of 1. This would be a horizontal translation of the square root function of 5 units to the right, rather than the left. Beth was correct about the vertical translation of the square root function of 1 unit up. The point (0, 0) from the square root function would be translated to the point (5, 1) on the graph of g(x).
Step-by-step explanation:
This came right from Edg
Zahra wants the equation below to have an infinite number of solutions when the missing number is placed in the box. Box (x minus 3) + 2 x = negative (x minus 5) + 4 Which number should she place in the box?
Answers
Answer:
It's -3
Step-by-step explanation:
I got it right on Edge 2020
which of the following figures has a length, width, and height? A,point B,rectangle C, triangular prism D, ray
Answers
Answer:
C) Triangular Prism
The two square pyramids are similar. The side length of the smaller pyramid is the side length of the larger pyramid.
Which fraction represents the ratio of the base area of the smaller pyramid to the base area of the larger pyramid?
Answers
Answer:
9/16
see explanation below
Step-by-step explanation:
This question is lacking figures. But it is easy to solve question asking for the ratio of the areas of a shape when the shapes are similar.
When shapes are similar, the ratio of their corresponding sides are equal.
whilst the ratio of the area of similar shapes is equal to the square of the ratio of their corresponding sides.
In other words, if the corresponding sides are a and b respectively, the ratio of their sides = a/b
and the ratio of the areas of the shape = (a/b)²
Assumption: Now if the side length of the smaller pyramid is 3/4(the side length of the larger pyramid)
let length larger pyramid = x
length of smaller pyramid = 3/4 x
their ratio (small/big) = (3x/4)/x = 3/4
ratio of their areas = (3/4)²
the ratio of base area of the smaller pyramid to the base area of the larger pyramid = 9/16
Answer:
A.) 9/16
Step-by-step explanation:
Have a great day, and take mental health breaks! You are loved :)
What is the value of y? Answer asap
Answers
Answer:
y=3
Step-by-step explanation:
10=2y+4
10-4=2y
6=2y
3=y
Can y’all solve this for me???
Answers
Answer:
1/4PI I GOT IT RIGHT ON KHAN ACADEMY
Step-by-step explanation:
HOPE I HELPED
PLS MARK BRAINLIEST
DESPERATELY TRYING TO LEVEL UP
✌ -ZYLYNN JADE ARDENNE
Answer:
[tex]\boxed{\frac{1}{2}\pi}[/tex]
Step-by-step explanation:
Use length of arc formula.
[tex]\frac{\theta }{360} \times2 \pi r[/tex]
The radius is 1 unit.
θ = 90°
[tex]\frac{90}{360} \times 2\pi (1)[/tex]
[tex]\frac{1}{4} \times 2\pi[/tex]
[tex]\frac{1}{2} \times\pi[/tex]
Which of the following is not a rigid motion transformation?
Answers
Answer:
D. Stretch
Step-by-step explanation:
All the others keep the same dimensions
The one which is not a rigid motion transformation is D. Stretch.
What is Geometric Transformation?Transformation of geometrical figures or points is the manipulation of a given figure to some other way.
Different types of transformations are Rotation, Reflection, Glide reflection, Translation and Dilation.
Rigid motion transformation is the transformation which is formed when a point or a shape is transformed such that the size or the shape of the original object does not change.
In rotation, translation and reflection, there is no change in the size or the shape.
But in dilation, the size becomes smaller or larger based on it is enlargement or stretch.
So stretch is not a rigid motion transformation.
Hence option D is the correct answer.
Learn more about Rigid Motion Transformation here :
https://brainly.com/question/1408127
#SPJ7
¿que son los cuadriláteros?
Answers
Answer:
Cuadrilátero solo significa "cuatro lados" (quad significa cuatro, lateral significa lado). Un cuadrilátero tiene cuatro lados, es bidimensional (una forma plana), cerrado (las líneas se unen) y tiene lados rectos.
Un cuadrilátero es un polígono con cuatro aristas y cuatro vértices.
Step-by-step explanation:
identify the coefficient of X
1. 2x
2. -5x
3. 49x
4. -6x²
5. 3xy²
Answers
Answer:
2
-5
49
-6
3
Step-by-step explanation:
Coefficient is a number, value or item that serves as a measure of some property or characteristic.
or in other words a number that is added in front of a term.
Hope this helps ;) ❤❤❤
A company has determined that its weekly profit is a function of the number of items that it sells. Which equation could represent the weekly profit in thousands of dollars, y, when the company sells x items? y squared = 4 x squared minus 100 y = negative x squared + 50 x minus 300 x = negative y squared minus 400 x squared = negative 6 y squared + 200
Answers
Answer:
B. y= -x^2 + 50x - 300
Step-by-step explanation:
Options given
A. y^2=4x^2 - 100
B. y= -x^2 + 50x - 300
C. x= -y^2 - 400
D. x^2= -6y^2 + 200
We are to find profits (y) function in thousands of dollars if the company sells x items.
We will use elimination method to eliminate the wrong options above in order to find the correct answer
Option A. y^2= 4x^2 - 100 is used to find the square of the profit function
Option B. y= -x^2 + 50x - 300 is used to calculate profit (y) function
Option C. x= -y^2 - 400 is for the calculation of the items x sold
Option D. x^2= -6y^2 + 200 is to find items x sold squared.
Since, we are required to find the profit (y) function, option A, C and D will be eliminated.
We are left with option B which is the correct answer to the question.
The weekly profits (y) function in thousands of dollars when the company sells x items is
B. y= -x^2 + 50x - 300
Answer:
B.
Step-by-step explanation:
I just took the quiz on edge
Carrie works 40 hours a week spend 15% her tome in the register 30% her time greeting customers remainder of her time I'm maintenance what % is her time spent in maintenance
Answers
Answer:
[tex]Maintenance = 55\%[/tex]
Step-by-step explanation:
Given
[tex]Time = 40\ hours[/tex]
[tex]Register = 15\%[/tex]
[tex]Greetings = 30\%[/tex]
Required
Percentage of time spent in maintenance;
From the given parameters,She spends the rest of her time in maintenance;
This implies that
[tex]Register + Greetings + Maintenance= 100\%[/tex]
Substitute 15% for Register and 30% for Greetings
[tex]15\% + 30\% + Maintenance= 100\%[/tex]
[tex]45\% + Maintenance= 100\%[/tex]
Subtract both sides by 45%
[tex]45\% - 45\% + Maintenance = 100\% - 45%[/tex]
[tex]Maintenance = 100\% - 45%[/tex]
[tex]Maintenance = 55\%[/tex]
Hence, the percentage of time spent in Maintenance is 55%
Suppose that the market research department of a famous bakery has determined that the most aesthetically pleasing donut has a thickness that is twice the inner radius of the donut (that is, the radius of the donut’s hole). The formula for the inner radius of the donut is given by the equation , where V is the volume of the donut in cubic centimeters. Use the table of values to help you answer the questions about r(v). -30 -0.80 -20 -0.70 -10 -0.55 0 0 10 0.55 20 0.70 30 0.80
Answers
Answer:
The information given are;
[tex]r(V)=\sqrt[3]{\dfrac{V}{6\cdot \pi ^{2}}}[/tex]
Where;
r(V) = The radius of the doughnut (cm)
V = The volume of the doughnut (cm³)
The data are;
V, r(V)
-30, -0.8
-20, -0.7
-10, -0.55
0, 0
10, 0.55
20, 0.7
30, 0.8
From the table of values, the identified key features are;
a) There is a direct relationship between the radius and the volume of the doughnut
b) The correlation between the data increases to direct proportionality from the volume of 20 cm³ and above
c) The data values are symmetric and continuous about the y and x-axis
2) There is a direct linear relationship between radius, r and the volume V at end ends of the data between r and V where V = -30 and-20 at one end and 20 and 30 at the other end
b) The x and y-intercept are
The x -intercept = (0, 0)
The x -intercept = (0, 0)
c) The pivot point is the point about which change occurs, therefore, the pivot point is the (10, 0.55)
d) The domain is a member of the set of real numbers, R while the range is also a member of the set of real numbers, R
Step-by-step explanation:
find the prime factorization of 47
Answers
Start by dividing the number by the first prime number 2 and continue dividing by 2 until you get a decimal or remainder.
The prime factorization of 47 is:
47 is a prime number.
The exponent of prime number 47 is 1.
Adding 1 to that exponent we get
(1 + 1) = 2.
Factors of 47: 1, 47.
Factor pairs: 47 = 1 x 47.
47 has no square factors that allow its square root to be simplified.
√47 ≈ 6.85565.
Hope this helps!!! :)
A rectangular tank, 1 1/2m long and 1m wide,
contains water to a depth of 50 cm. How
many litres does it contain?
Answers
100 : 1
50 : x
x = 50/100
= 0.5 m
V = L x b x h
= 1.5 x 1 x 0.5
= 0.75 m^3
Rectangle ABCDABCDA, B, C, D is graphed in the coordinate plane. The following are the vertices of the rectangle: A(2, 0), B(6, 0), C(6, 7), D(2, 7). What is the area of rectangle A, B, C, D? square units NEED ASAP 40 POINTS LIGIT
Answers
Answer:
[tex]\boxed{\sf \ \ 28 \ \ }[/tex]
Step-by-step explanation:
Hello,
Please find attached the graph
AB = 6-2 = 4
DA = 7-0 = 7
So the area of the rectangle is AB * DA = 4 * 7 = 28
Hope this helps
The angle measurements in the diagram are represented by the following expressions
Answers
angle A = angle B corresponding angles
8x - 8 = 5x + 25
3x = 33
x = 11
angle B
5x + 25
55 + 25
80°
In the right triangle shown, DF=EF=3DF=EF=3D, F, equals, E, F, equals, 3.
How long is DEDED, E?
Choose 1 answer:
Answers
Answer:
DE = 4.24
Step-by-step explanation:
The diagram is not shown; However, the question can still be solved without the diagram.
Having said that,.
Given that
DF = EF = 3
This implies that DE is the hypothenus and will be solved using Pythagoras theorem.
DE² = EF² + DF²
Substitute 3 for EF and DF
DE² = 3² + 3²
DE² = 9 + 9
DE² = 18
Take Square Root of both sides
DE = √18
DE = 4.242640687119285
DE = 4.24 (Approximated)
SOLVE EACH EQUATION BY TAKING SQUARE ROOTS. 1.) 3(x-5)^2=48 2.)2x^2-56=42
Answers
Answer:
see explanation
Step-by-step explanation:
(1)
3(x - 5)² = 48 ( divide both sides by 3 )
(x - 5)² = 16 ( take the square root of both sides )
x - 5 = ± [tex]\sqrt{16}[/tex] = ± 4 ( add 5 to both sides )
x = 5 ± 4
Thus
x = 5 - 4 = 1
x = 5 + 4 = 9
Solutions are x = 1, x = 9
(2)
2x² - 56 = 42 ( add 56 to both sides )
2x² = 98 ( divide both sides by 2 )
x² = 49 ( take the square root of both sides )
x = ± [tex]\sqrt{49}[/tex] = ± 7
Solutions are x = - 7, x = 7
Solve for r in the following equation: 2 (3+x) = 3r-4
A. 7/3
B. 5
C. 7
D. 10
Answers
Answer:
7/3 is the answer.
Hope this helps.....
Have a nice day!!!!
Give the digits in the tens place and the tenths place.
12.05
Answers
The digit in the tenths place is 0.
The width of an arch is 1.4 m and the semicircle at the top begins at a height of 1.9 m. What is the minimum amount of material in square metres needed to cover the whole arch so you cannot see through it?
Answers
Answer:
The minimum amount of material in m^2 that will be needed to cover the whole arc will be 3.43 m^2
Step-by-step explanation:
This arc can be divide into two shape; a semi circle with a diameter of 1.9 m, and a rectangle with a width 1.9 m and a height of 1.4 m
For the semicircle, the area = [tex]\frac{\pi d^{2} }{4}[/tex] ÷ 2
where d is the diameter
==> [tex]\frac{3.142 * 1.4^{2} }{4}[/tex] ÷ 2
==> 1.539 ÷ 2 = 0.7695 m^2
For the rectangle, area = width x height
==> 1.4 x 1.9 = 2.66 m^2
Total area = 0.7695 + 2.66 = 3.43 m^2
This is the minimum amount of material that will be needed to cover the whole arc.
Find the 12th term of the arithmetic sequence whose common difference is d=6 and whose first term is a, = 2.
Answers
Answer:
The 12th term is 68Step-by-step explanation:
Since the sequence is an arithmetic sequence
For an nth term in an arithmetic sequence
A(n) = a + ( n - 1)d
where a is the first term
n is the number of terms
d is the common difference
From the question
d = 6
a = 2
n = 12
So the 12th term of the sequence is
A(12) = 2 + (12-1)6
= 2 + 11(6)
= 2 + 66
A(12) = 68Hope this helps you
HURRY PLEASE!!!
In circle Y, what is the measure of arc TU?
59°
67°
71°
118°
Answers
Answer:
71°
Step-by-step explanation:
m∠1 = (SR + TU)/2
m∠1 = 63°
SR = 55°
substitute into the equation
63° =(55° - TU) / 2
TU = (63° * 2) - 55°
TU = 71°
Need help with these last two questions, tysm if you do :D
Answers
Answer:
D.
A. x ≤ 1
Step-by-step explanation:
Well for the first question we need to simplify the inequality.
4x + 3 < x - 6
-x to both sides
3x + 3 < -6
-3 to both sides
3x < -9
Divide 3
x < -3
So if x is less than -3 than it goes to the left starting at -3.
So D. is the answer.
So to solve the floowing inequality we simplify, distribute, and combine like terms.
3(2x - 5) + 3 ≤ -2(x + 2)
6x - 15 + 3 ≤ -2x -4
6x -12 ≤ -2x - 4
8x - 12 ≤ -4
+12
8x ≤ 8
8/8
x ≤ 1
Hence the answer is A. x ≤ 1
Tonia and trinny are twins. Their friends give them identical cakes for their birthday. Tonia eats 1/8 of her cake and trinny eats 1/6 of her cake. How much cake is left? please show working thank youu
Answers
Answer:
[tex]\frac{7}{12}[/tex] of the cake
Step-by-step explanation:
add [tex]\frac{1}{8}[/tex] and [tex]\frac{1}{6}[/tex] to see the total amount of cake eaten.
a. find the common denominator: 8 x 3 = 24 and 6 x 4 = 24
b. multiply accordingly to get the correct numerator: [tex]\frac{3}{24}[/tex] + [tex]\frac{4}{24}[/tex]
c. add: [tex]\frac{3}{24}[/tex] + [tex]\frac{4}{24}[/tex] = [tex]\frac{7}{24}[/tex]
subtract found value from total to find left over cake.
a. 24 - 7 = 14
simplify.
a. [tex]\frac{14}{24}[/tex] = [tex]\frac{7}{12}[/tex]
You are left with [tex]\frac{7}{12}[/tex] of the cake.
Andrew is about to leave for school. If he walks at a speed of 50 meters per minute, he will arrive 3 minutes after the bell rings. If he runs at a speed of 80 meters per minute, he will arrive 3 minutes before the bell rings. In how many minutes will the bell ring?
Answers
Answer:
The answer is: 13 minutes
Step-by-step explanation:
First Let us form equations with the statements in the two scenario
[tex]time=\frac{distance}{speed}[/tex]
Let the time in which the bell rings be 'x'
1. If Andrew walks (50 meters/minute), he arrives 3 minutes after the bell rings. Therefore the time of arrival at this speed = (3 + x) minutes
[tex]3 + x =\frac{distance}{50}\\distance = 50(3+x) - - - - - (1)[/tex]
2. If Andrew runs (80 meters/minute), he arrives 3 minutes before the bell rings. Therefore the time taken to travel the distance = (x - 3) minutes
[tex]x - 3 = \frac{distance}{80} \\distance = 80(x-3) - - - - - (2)[/tex]
In both cases, the same distance is travelled, therefore, equation (1) = equation (2)
[tex]50(3+x)=80(x-3)[/tex]
[tex]150 +50x=80x-240\\[/tex]
Next, collecting like terms:
[tex]150 + 240 = 80x - 50x\\390 = 30x\\30x = 390\\[/tex]
dividing both sides by 3:
x = 390÷30 = 13
∴ x = 13 minutes
Help!! I WILL GIVE BRAINLIEST I NEED HELPPPPPPPPPPPPPPPPPPP PLEASE PLEASE PLEASE PLEASEEEEEEEEEEEEE IM DEADD I REALLY NEED HELP ASAP ITS URGENT
Answers
Answer:
arc axb=4.938
Step-by-step explanation:
to find the measure of arc AXB find angle P first
length of the arc=rФ
in triangle APQ sin angle APQ= opp/hyp=AQ(radius)/PQ=5/√5+√21
in traingle PQB sin angle BPQ= opp/hyp.=5/√5+√21
angle P"
2arcsin 5/√5+√21= 94.324 degrees=(π*94.324)/180=1.64626 rad.
arc AXB=Фr (Ф=94.324 , r=3)
arc axb=4.938