The proportional relationship between drawing court lengths x in centimeters and court lengths in y centimeters is y = 22.5x
Your question is not complete, it seems to be missing the following information;
"write an equation for the proportional relationship between drawing court lengths x in centimeters and court lengths in y centimeters"
The drawing court length is given as;
x = 40 cm or 80 cm
drawing scale = 1 cm : 22.5 cm
The corresponding length of the court is calculated as;
when x = 40 cm;
[tex]y = \frac{22.5}{1} \times 40 cm = 900 \ cm[/tex]
when x = 80 cm;
[tex]y = \frac{22.5}{1} \times 80 \ cm = 1,800 \ cm[/tex]
The proportional relationship between drawing court lengths x in centimeters and court lengths in y centimeters is calculated as;
[tex]\frac{y}{x} = \frac{900}{40} = \frac{1800}{80} \\\\\frac{y}{x} = 22.5\\\\y = 22.5 x[/tex]
Thus, the proportional relationship between the lengths is y = 22.5x
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round 387.869911589to 3 decimal places
|x|-5 what does the vertical bar means?
Answer:
it means absolute valuen so anything inside becomes a positve.
Step-by-step explanation:
Which polygon has two sets of parallel sides?
A. Which polygon has two sets of parallel sides?
A.
B.
C.
D.
B.
C.
D.
Answer:
No. D
please mark me as brainliest please
Answer:
The trapezoid.
(it's the third picture)
find locus of a point which moves so that
it's distance from the point (2,1) is double its distance from (1,2)
Answer:
hi,
Step-by-step explanation:
Let say P=(x,y) a point of the locus
[tex]Distance\ from\ P\ to\ (2,1)= \sqrt{(x-2)^2+(y-1)^2} \\Distance\ from\ P\ to\ (1,2)= \sqrt{(x-1)^2+(y-2)^2} \\\\\sqrt{(x-2)^2+(y-1)^2} =2*\sqrt{(x-1)^2+(y-2)^2} \\\\(x-2)^2+(y-1)^2=4*((x-1)^2+(y-2)^2)\\\\3x^2-4x+3y^2-14y+15=0\\\\[/tex]
[tex]3x^2-4x+3y^2-14y+15=0\\3(x^2-2*\dfrac{2}{3} x)+3(y^2-2*\dfrac{7}{3}*y) +15=0\\3(x^2-2*\dfrac{2}{3}*x+\dfrac{4}{9})+3(y^2-2*\dfrac{7}{3}*y+\dfrac{49}{9} ) +15-\dfrac{4}{3}-\dfrac{49}{3}=0\\\\3(x-\dfrac{2}{3})^2+3(y-\dfrac{7}{3})^2-\dfrac{8}{3}=0\\\\\\\boxed{(x-\dfrac{2}{3})^2+(y-\dfrac{7}{3})^2=\dfrac{8}{9}}\\\\[/tex]
Locus is the circle of center (2/3,7/3) and radius =2√2 /3.
there are 60 teams attend a chess tournament. every team will play with every other team exactly once. Supposed each team has a 50% chances of winning any games it plays and no ties occue which is the probability that no two teams win the same number of games
The probability that no two teams win the same number of games, P ≈ 2.084 × 10⁻⁴⁵³
The reason for arriving at the above probability is as follows:
The given parameters are;
The number of teams in the tournament, n = 60
The chance of a team winning a game = 50% = 0.5
The number of ties = No ties
The required parameter:
The probability that no two teams win the same number of games
Method:
Calculate the number of ways no two teams win the same number of games, and divide the result by the total number of possible outcomes
Solution:
The number of matches played, n = [tex]\dbinom {60} {2}[/tex] = 1,770
The possible outcomes = 2; Winning or losing
The total number of possible outcomes, [tex]n_p[/tex] = 2¹⁷⁷⁰
The number of games won by each team is between 0 and 59
The ways in which no two teams won the same number of games is given by the games won by the teams to be 0, 1, 2,..., 57, 58, 59
Therefore, the number of ways no two teams won the same number of games, the required outcomes, [tex]n_k[/tex] = 59!
[tex]Probability = \dfrac{Number \ of \ possible \ outcomes}{Number \ of \ required\ outcomes}[/tex]
The probability that no two teams win the same number of games is given as follows;
[tex]\mathbf{P(No \ two \ teams \ won \ the \ same \ number \ of \ games)} = \dfrac{n_k}{n_p}[/tex]
Therefore;
[tex]P(No \ two \ teams \ won \ the \ same \ number \ of \ games) = \dfrac{59!}{2^{1,770}} \approx \mathbf{2.084 \times 10^{-453}}[/tex]
The probability that no two teams win the same number of games, P ≈ 2.084 × 10⁻⁴⁵³
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What is the base length of a rectangle with a height of 23 ft and an area of 437 ft??
Enter your answer in the box.
Answer:
Answer is 19
Step-by-step explanation:
firstly,the area of a rectangle is =LxW
secondly since there is no number for length,we use X for representing the number ,then height is used for representing breath and the number is 23ft and area is 437ft
so we solve,
LxW=AREA
Xx23=437
23X/23=437/23
X=19
therefore the length is =19
A bee flies at 10 feet per second directly to a flowerbed from its hive. The bee stays at the flowerbed for 18 minutes, and then flies directly back to the hive at 6
feet per second. It is away from the hive for a total of 23 minutes.
a. What equation can you use to find the distance of the flowerbed from the hive?
b. How far is the flowerbed from the hive?
Answer:
Step-by-step explanation:
d = distance from hive to flowers, in feet
flying time = 23 min - 18 min = 5 min = 300 sec
time flying to flowers = d ft × (1 sec)/(10 ft) = (d/10) sec
time flying to hive = d ft × (1 sec)/(6 ft) = (d/6) sec
d/10 + d/6 = 300 sec
:::::
d/10 + d/6 = 3d/30 +5d/30 = 8d/30 = 300
d = 300×30/8 = 1,125 ft
PLEASE show all work!!!
If the base of a rectangle is 28 cm and the area is 588 cm^2, what is the height of the rectangle?
The base of the rectangle , b = 28 cm
The area of the rectangle , A = 588 cm^2
Therefore , the height of the rectangle , h = A/b
=588/28 cm = 21 cm .
30POINTS
Two functions, A and B, are described as follows:
Function A
y = 8x + 3
Function B
The rate of change is 1 and the y-intercept is 4.
How much more is the rate of change of function A than the slope of function B?
1
7
8
9
Which point is located at -0.905?
В.
H
-0.9
HHH
-0.8
-1
Choose 1 answer:
A
Point A
B.
Point B
Point C
Point D
Answer:
point b is located at -0.905 . If it was -0.95 then it would be point A
Answer:
point B
I hope it's helps you
According to the table. what is the ratio of pattern 2 to pattern 1?
A) 1/4
B) 1/2
C) 2/1
D) 1
Please answer QUICK
Answer:
1/2.
Step-by-step explanation:
When pattern 2 is 2, pattern 1 is 4 so its 2/4 = 1/2.
Find a16 of the sequence 1, 6, 11, 16, ....
A. 81
B. 66
C. 76
D. 71
Answer:
C. 76
Step-by-step explanation:
Since the numbers add up by 5, you can use this equation. 5x-4. Plug in 16 for x to get the answer which is 76.
The value of the 7 in 37,560 is blank the value of the 7 and 4,720
Answer:
The value of the 7 in 37, 560 is greater than the value of the 7 in 4, 720.Step-by-step explanation:
In 37, 560, the value of 7 is 7, 000; in 4, 720, the value of 7 is 700.7, 000 > 700[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
Given (x – 1)2 = 50, select the values of x.
x=-49
x=51
x=1+5sqrt{2}
x=1-5sqrt{2}
Answer:
C and D.
Step-by-step explanation:
We want to solve the equation:
[tex](x-1)^2 = 50[/tex]
We can take the square root of both sides. Since we are taking an even root, we need plus/minus:
[tex]\displaystyle (x-1) = \pm\sqrt{50}[/tex]
Note that:
[tex]\sqrt{50} = \sqrt{2\cdot 5^2} = 5\sqrt{2}[/tex]
Hence:
[tex]\displaystyle (x - 1) = \pm5\sqrt{2}[/tex]
And by adding one to both sides:
[tex]\displaystyle x = 1 \pm 5\sqrt{2}[/tex]
In conclusion, our answers are both C and D.
I’m confused because I don’t know what I would put for “What scale factor takes the original polygon to its smaller copy”.
The scale factor that takes the original H-shaped polygon to its smaller copy is 1/4, which is the ratio of the lengths of corresponding sides in the copy and the original.
When a polygon is scaled, each side is multiplied by the same factor to create the corresponding side in the smaller copy. The scale factor is the ratio of the lengths of corresponding sides in the copy and the original.
Let's denote the scale factor as k. In this case, we are given that the smaller copy is a scaled version of the original, so the lengths of corresponding sides in the copy and the original are related by the scale factor:
[tex]Scale\ factor\ \(k = \frac{\text{Length of corresponding side in copy}}{\text{Length of corresponding side in original}}\)[/tex]
Given that the scale factor [tex]\(k = \frac{1}{4}\)[/tex], it means that each side in the smaller copy is one-fourth the length of the corresponding side in the original.
For example, if the original H-shaped polygon has a side of length 5 units, the corresponding side in the smaller copy would be [tex]\(5 \times \frac{1}{4} = 1.25\)[/tex] units.
This process applies to all sides of the original H-shaped polygon, and each side's length is multiplied by the scale factor to get the corresponding side length in the smaller copy.
So, the scale factor that takes the original H-shaped polygon to its smaller copy is indeed 1/4), which represents the ratio of the lengths of corresponding sides in the two polygons.
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Write the explicit rule of the sequence -1/3, -1 2/3, -3, -4 1/3
Answer:
-1 1/3
Step-by-step explanation:
You can see that if you subtract 1 1/3 from -1/3, you get -1 2/3, and so on
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
How to do this? Please help
Step-by-step explanation:
This equations are quadratic equations, which is on standard form,
[tex] {ax}^{2} + bx + c[/tex]
where a is the leading coefficient, b is the second coefficient, and c is the constant.
Both a and b are in quadratic equation so we need to find the constant separately.
Both sides are equal to zero so we can just subtract the terms not containing a or b in them to the opposite side.
[tex] {x}^{2} - 4 x + a = 0[/tex]
[tex] {x}^{2} + a = 4x[/tex]
[tex]a = - {x}^{2} + 4x[/tex]
For b,
[tex]2 {x}^{2} - 6x + b + 7 = 0[/tex]
[tex] - 6x + b + 7 = - 2 {x}^{2} [/tex]
[tex]b + 7 = - 2 {x}^{2} + 6x[/tex]
[tex]b = - 2 {x}^{2} + 6x - 7[/tex]
f(x) = -3x2 + 3x + 7
Find f(8)
Answer:
f(8) = -161
Step-by-step explanation:
f(x) = -3x^2 + 3x + 7
f(8) = -3(8)^2 + 3(8) + 7
f(8) = -192 + 24 + 7
f(8) = -161
The perimeter of a rectangle is 74 inches. If the length is five more than the width, what are the rectangle's measurements?
O length = 19; width = 18
O length = 22; width = 15
O length = 20; width = 17
O length = 21; width = 16
O None of these choices are correct.
Answer:
None of these choices are correct.
Step-by-step explanation:
75 = perimeter
8.
If TU = 23 and TV = 5x + 6, then x = ?
23
+
+
U
sxto
10
If PQ = 6x - 1 and PR = 15x - 29,
Answer:
17/5
Step-by-step explanation:
23=5x+6
23-6=5x
17=5x
X=17/5
The value of x in the line segment TV is 8 units.
What is a line segment ?A line segment is a subset of a line which has two endpoints.
According to the question a line segment TV is given which is of 5x + 6 units.
TU is also given which is 23 units.
U is the midpoint of TV this implies that UV is also 23 units.
Now, we know that TV = TU + UV.
5x + 6 = 23 + 23.
5x + 6 = 46.
5x = 46 - 6.
5x = 40.
x = 40/5.
x = 8 units.
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Can someone explain how this equation is solved? I have it already solved but I don't understand how the outcome is got but here is the problem.
Selling price=(1+r)(original cost)
63=(1+r)(42)
1.5=1+r
r=0.5
How did we go from that first part of the problem to the second; what was done exactly?
type the correct answer rounded to the nearest ten dollars
Answer:
$120.00
Step-by-step explanation:
brainliest please
What is the amplitude of sin ?
You haven't provided a graph or equation so I will tell the simplified meaning of amplitude instead.
Amplitude, is basically a distance from midline/baseline to the maximum or minimum point.
For sine function, can be written as:
[tex] \displaystyle \large{ y = A \sin(bx - c) + d}[/tex]
A = amplitudeb = period = 2π/bc = horizontal shiftd = vertical shiftI am not able to provide an attachment for an easy view but I will try my best!
We know that amplitude or A is a distance from baseline/midline to the max-min point.
Let's see the example of equation:
[tex] \displaystyle \large{y = 2 \sin x}[/tex]
Refer to the equation above:
Amplitude = 2b = 1 and therefore, period = 2π/1 = 2πc = 0d = 0Thus, the baseline or midline is y = 0 or x-axis.
You can also plot the graph on desmos, y = 2sinx and you will see that the sine graph has max points at 2 and min points at = -2. They are amplitude.
So to conclude or say this:
If Amplitude = A from y = Asin(x), then the range of function will always be -A ≤ y ≤ A and have max points at A; min points at -A.
سر
.
A particular satellite is 15 m wide. A model
of it was built with a scale of 1 cm: 5 m.
How wide is the model?
Answer:
3cm
Step-by-step explanation:
A particular satellite is 15 m wide
Model of it was built with a scale of 1 cm: 5 m
=> scale of the model will be: 1/500cm and A particular satellite is 1500 cm wide
=>1500*1/500=3(cm)
pls hello ASAP 3/4+(2 1/2)
Answer:
Step-by-step explanation:
How many names would be said if in a room of 875 people each said everyone name?
Answer:
765625
Step-by-step explanation:
because 875x875 is 765625
Answer:
765,625 names if each says their own name, 764,750 if they don't. (Although, if you wanna get technical, only 875 names are being said, since they're repeating the same names over and over again)
Step-by-step explanation:
Alrighty, this is complicated. Just to make it easier, we're going to switch the word "names" to "words."
There are 875 people in the room, and each one of them is saying 875 words (assuming it includes their own name). So to figure out how many words would be said, you multiply 875 by 875, which gives you 765,625 words. If they say everyone's name EXCEPT their name, then subtract 875, which gives you 764,750.
Pls help ASAP for 15 point
Answer:
[tex] \sqrt{ - 17 } \\ 20\% \\ 1 \times \frac{1}{2} \\ \sqrt{17} \\ 8[/tex]
What is the quotient of 8,595 ÷ 24?
Hey there!
The quotient of 8595 ÷ 24 would be 358.125.
Hope this helps!
Have a great day!
23 - C<6
I cannot find the answer can someone help me?
Answer:
C > 17
Step-by-step explanation:
23 - C < 6
-23 -23
-----------------
-C < -17
multiply both sides by -1
(-c) (-1) > (-17) (-1)
C > 17
Simplify square root of -200
Answer:
14.1421356i
Step-by-step explanation:
hope it helps