Answer: 26 games in total.
Step-by-step explanation:
If in each game we have one winner and one loser, then after each game we have one less player.
first, out of 37 players, we can write it as 36 players + 1 player that does not play in the first round
the 36 players play games. Because in each game we need 2 players, we have a total of 36/2 = 18 games
in those 18 games, we eliminate 18 players, so now we have 37 - 18 = 19 players.
Now, we can write 19 = 18 players + 1 player that does not play this round.
From the 18 players, we have 18/2 = 9 games.
And from those 9 games, we lose 9 players, so now we have:
19 - 9 = 10 players.
Now from those 10 players, we have 10/2 = 5 games, so after those 5 games we have 10 - 5 = 5 players.
Now we can write 5 = 4 players + 1 player that does not play this round.
from the 4 players we have 4/2 = 2 games, after those 2 games we end with 5 - 2 = 3 players.
And from those last 3 players, we have two games, where in each game one player is eliminated until we have only one winner.
Then the total number of games is:
18 + 9 + 5 + 2 + 2 = 26 games
Which equation represents a line that is perpendicular to line FG? A. y=-1/2x+5 B. y=1/2x+2 C. y=-2x-3 D. y=2x-6
The equation of line which is perpendicular to the line FG is
y = -2x -3.
What is equation of line?
The equation of line is an algebraic form of representing the set of points, which together form a line in a coordinate system.
Formula for finding the equation of line from two points [tex](x_{1} ,y_{1} ) and (x_{2}, y_{2} )[/tex][tex](y -y_{1}) = \frac{y_{2}-y_{1} }{x_{2} -x_{1} } (x-x_{1} )[/tex]
What is the slope of two perpendicular lines?If [tex]m_{1}[/tex] be the slope of one line, then the slope of the perpendicular line is [tex]\frac{-1}{m_{1} }[/tex].
What is the slope intercept form of a line ?The slope intercept form of the line is given by y = mx + b
Where, m is the slope of a line.
According to the given question
We have a line FG and the coordinates of points F and G are (-5,1) and (9,8) respectively.
Therefore, the slope of the line FG = [tex]\frac{8-1}{9+5}=\frac{7}{14} =\frac{1}{2}[/tex]
⇒ The slope of the line which is parallel to line FG is -2
Now, from the given option of the equation of line , y = -2x -3 has a slope of -2 .
Hence, the equation of line which is perpendicular to the line FG is
y = -2x -3.
Learn more about the equation of a perpendicular line here:
https://brainly.com/question/20712656
#SPJ2
Calculate the shaded region
｡☆✼★ ━━━━━━━━━━━━━━ ☾
First find the area of the sector.
For that, use this equation:
area = [tex]\frac{x }{360} * \pi r^{2}[/tex]
where 'x' is the angle and 'r' is the radius
Sub the values in
area = [tex]\frac{56}{360} * \pi15^2[/tex]
Solve:
area = [tex]35\pi[/tex]
It is easier to keep it in terms of pi until the end
Now, calculate the area of the triangle within the sector
area = 1/2 ab x sinC
where 'a' and 'b' are the radius (side lengths) and C is the angle
thus,
area = 1/2(15 x 15) x sin(56)
area = 93.27 (to 2 d.p)
Now subtract the area of the triangle from the area of the sector
[tex]35\pi[/tex] - 93.27 = 16.6857
This would give you a final answer of 16.69 units^2
Have A Nice Day ❤
Stay Brainly! ヅ
- Ally ✧
｡☆✼★ ━━━━━━━━━━━━━━ ☾
The text classifies information systems as either operations or management support information systems. Which one of the following would not be classified as an operations support system?
A. Transaction processing systems
B. Process control systems
C. Enterprise collaboration systems
D. Decision support systems
Answer:
D. Decision support systems
Step-by-step explanation:
Operation Support System, sometimes referred to a group of computer programs that is used by the communications service provider for carrying out various operations or functions, such as monitoring, controlling, analyzing and managing a telephone or computer network.
It is often used by professionals such as Network planners, service designers, operations, architects and engineering teams in the service provider.
There are however, types of Operation Support System which are being used for different and specific purpose. They are classified into the following categories:
1. Transaction Processing Systems
2. Process control system
3. Enterprise collaboration system
4. Enterprise Resource
Hence, from the question above, the DECISION SUPPORT SYSTEM is not classified as Operation Support System.
2 questions in the 2 pictures and then im done thank you
Answer:
Hey there!
For the first question we use the triangle area formula: 1/2bh, or 1/2(8)(5). This gives us 20 for the area.
For the second question we get a trapezoid, since the cross section does not pass through the vertex.
Hope this helps :)
Write an equation that represents your total earnings based on the price of your item and how many you sell. my price of my item is 25 and spending limit was 200. PLEASE SOMEONE HELP ME OUT
Answer:
The data that we have is:
Price per item = $25
spending limit = $200
Now, if you sell x items, then your earnings will be:
E = $25*x
So if you sell two items, we have x = 2
E(2) = $25*2 = $50
But the maximum spending possible will be such that:
$25*x = $200
x = $200/$25 = 8
Then the equation is:
E(x) = $25*x
such that 0 ≤ x ≤ 8
Which means that you can sell any number of units between 0 and 8.
How many terms are in the expression shown?
2n + 5 – 3p + 4q
1
2
3
4
Step-by-step explanation: A term can be a number, a variable, or a number times one or more variables.
So in this expression, the terms are +2n, +5, -3p, and +4q.
This means that there are 4 terms.
The answer is D - 4 :)
Instructions: Find the missing side. Round your answer to the
nearest tenth
Answer:
x = 64Step-by-step explanation:
To find x we use tan
tan∅ = opposite / adjacent
From the question
The adjacent is x
The opposite is 30
So we have
tan 25° = 30/x
x tan 25 = 30
Divide both sides by tan 25
x = 30/tan 25
x = 64.34
x = 64 to the nearest tenth
Hope this helps you
What are the solutions of the system? y=−6x−6 and y= x^2 −5x−6
Answer:
(0,-6) and (-1,0)
Step-by-step explanation:
First:
Set both sides equal to each other: -6x-6=x^2-5x-6
Next:
factor -6 our from the first side and write -5x as a difference:
-6(x+1)=x^2+x-6x-6
Then:
factor out x and -6 drom the second side:
-6(x+1)=x(x+1)-6(x-+1)
Then:
Factor out (x+1)
-6(x+1)=(x+1)(x-6)
Next Combine to one side and factor:
-(x+1)(6+x-6)=0
Simplify:
(x+1) (x)=0
find the zero:
x+1=0 --> x=-1
x=0 --> x=0
Substitute into the equations to find y:
y=-6(-1)-6
y=-6(0)-6
Solve:
y=0
y=-6
Answer:
(x1,y1)= (-1,0)
(x2,y2)= (0,-6)
You have a standard number cube. What is the probability of rolling a number less than 3, and then rolling a prime number? A. 1/3 B. 1/2 C. 1/36 D. 1/6
Hey Mate !
Your Answer is given in the snip below !!
Please do mark me as brainliest !!!
(ANSWER= (D) [tex]\frac{1}{6}[/tex] )
Explanation
Answer:
You have a standard number cube.
What is the probability of rolling a number less than 3, and then rolling a prime number?
D. 1/6
How many triangles does a=6 b=10 A=33° create?
Answer:
2 triangles are possible.
Step-by-step explanation:
Given
a=6
b=10
[tex]\angle[/tex]A=33°
To find:
Number of triangles possible ?
Solution:
First of all, let us use the sine rule:
As per Sine Rule:
[tex]\dfrac{a}{sinA}=\dfrac{b}{sinB}[/tex]
And let us find the angle B.
[tex]\dfrac{6}{sin33}=\dfrac{10}{sinB}\\sinB = \dfrac{10}{6}\times sin33\\B =sin^{-1}(1.67 \times 0.545)\\B =sin^{-1}(0.9095) =65.44^\circ[/tex]
This value is in the 1st quadrant i.e. acute angle.
One more value for B is possible in the 2nd quadrant i.e. obtuse angle which is: 180 - 65.44 = [tex]114.56^\circ[/tex]
For the value of [tex]\angle B = 65.44^\circ[/tex], let us find [tex]\angle C[/tex]:
[tex]\angle A+\angle B+\angle C = 180^\circ\\\Rightarrow 33+65.44+\angle C = 180\\\Rightarrow \angle C = 180-98.44 = 81.56^\circ[/tex]
Let us find side c using sine rule again:
[tex]\dfrac{6}{sin33}=\dfrac{c}{sin81.56^\circ}\\\Rightarrow c = 11.02 \times sin81.56^\circ = 10.89[/tex]
So, one possible triangle is:
a = 6, b = 10, c = 10.89
[tex]\angle[/tex]A=33°, [tex]\angle[/tex]A=65.44°, [tex]\angle[/tex]C=81.56°
For the value of [tex]\angle B =[/tex][tex]114.56^\circ[/tex], let us find [tex]\angle C[/tex]:
[tex]\angle A+\angle B+\angle C = 180^\circ\\\Rightarrow 33+114.56+\angle C = 180\\\Rightarrow \angle C = 180-147.56 = 32.44^\circ[/tex]
Let us find side c using sine rule again:
[tex]\dfrac{6}{sin33}=\dfrac{c}{sin32.44^\circ}\\\Rightarrow c = 11.02 \times sin32.44^\circ = 5.91[/tex]
So, second possible triangle is:
a = 6, b = 10, c = 5.91
[tex]\angle[/tex]A=33°, [tex]\angle[/tex]A=114.56°, [tex]\angle[/tex]C=32.44°
So, answer is : 2 triangles are possible.
HELP PLEASEEEEEEEEEEEEE! Soup can be packaged in two different containers: a box and a cylinder. The dimensions of the box are 7.5 cm by 4.7 cm by 14.5 cm. The cylinder has a radius of 3.3 cm and a height of 10 cm. Determine which container uses less material to make and find out which container holds more soup. Create a design for each container shape. Be sure to name your soup!
Answer:
Step-by-step explanation:
Use the following formulas:
surface area of rectangular prism: A = 2wl + 2lh + 2hw
volume of rectangular prism: lwh
surface area of cylinder: A=2πrh+2πr^2
volume of cylinder: V=πr^2h
using these formulas, the surface area of the box is 424.3
the volume of the box is about 511.3
the surface area of the cylinder is about 275.77
the volume is 342.12
knowing this, the cylinder uses less material but the box holds more soup.
Please help me!!!!!! I do not understand...
Answer:
the second one........the shape of the conic section os circle
If ABCD is a rectangle, calculate x as a function of α
Answer:
Step-by-step explanation:
The length of this triangle is 10 squares
and the width is 4 squares
The diagonals divide the rectangle into four triangles
These traingles are isoceles
Each two triangles facing each others are identical
<B = 90 degree
B = alpha + Beta
Let Beta be the angle next alpha
The segment that is crossing Beta is its bisector since it perpendicular to the diagonals wich means that:
Beta = 2x
Then B = alpha + 2x
90 = alpha +2x
90-alpha = 2x
x = (90-alpha)/2
Answer:
x = 90 - 2α
Step-by-step explanation:
Solution:-
- Consider the right angled triangle " ABD ". The sum of angles of an triangle is always "180°".
< BAD > + < ADB > + < ABD > = 180°
< ABD > = 180 - 90° - α
< ABD > = 90° - α
- Then we look at the figure for the triangle "ABE". Where " E " is the midpoint and intersection point of two diagonals " AC and BD ".
- We name the foot of the perpendicular bisector as " F ": " BF " would be the perpendicular bisector. The angle < BAE > is equal to < ABD >.
< ABD > = < BAE > = 90° - α ... ( Isosceles triangle " BEA " )
Where, sides ( BE = AE ).
- Use the law of sum of angles in a triangle and consider the triangle " BFA " as follows:
< ABF> + < BFA > + < BAF > = 180°
< ABF > = 180 - (90° - α) - 90°
< ABF > = α
Where, < BAF > = < BAE >
- The angle < ABD > = < ABE > is comprised of two angles namely, < ABF > and < FBE > = x.
< ABD > = < ABE > = < ABF > + x
90° - α = α + x
x = 90 - 2α ... Answer
HELP ME PLEASEEEE! Thank you
Answer:
A. Yes
B. Yes
C. No
Step-by-step explanation:
We can substitute each value in to the equation and see if the sides match up. Let's start with a.
[tex]4\cdot(2)-3 = -2\cdot(2)+9\\8-3 = -4+9\\5 = 5[/tex]
So, n = 2 works for equation a. Let's try B.
[tex]9\cdot(\frac{10}{3}) - 19 = 3\cdot(\frac{10}{3}) + 1\\\\\\\frac{90}{3} -19 = \frac{30}{3} + 1 \\ 30 - 19 = 10 + 1\\11 = 11[/tex]
So, m = [tex]\frac{10}{3}[/tex] works for B. Now let's try C.
[tex]3(30+8) = 2\cdot(30)-6\\3(38) = 60-6\\114 \neq 54[/tex]
So y = 30 doesn't work for C.
Hope this helped!
The number of people contacted at each level of a phone tree can be represented by f(x) = 3^x where x represents the level.
What is x when f(x) = 27?
A. X = 2; At level 2, 27 people will be contacted.
B. x = 24; At level 24, 27 people will be contacted.
C. x = 3; At level 3, 27 people will be contacted.
D. x = 9; At level 9,27 people will be contacted.
Answer:
3
Step-by-step explanation:
Answer:
c is the correct answer
Step-by-step explanation:
Match each quadratic graph to its respective function
Answer:
f(x) = (x - 3)(x + 1) → Corresponds with the first (raised higher ) ∪ shaped graph
f(x) = -2(x - 1)((x + 3) → Corresponds with the ∩ shaped graph
f(x) = 0.5(x - 6)((x + 2) → Corresponds with the second (lower) ∪ shaped graph
Step-by-step explanation:
For the function f(x) = (x - 3)(x + 1)
We have;
When x = 0, y = -3
When y = 0 x = 3 or -1
Comparing with the graphs, it best suits the first ∪ shaped graph that rises here than the other ∪ shaped graph
For the function;
f(x) = -2(x - 1)((x + 3)
When x = 0, y = 6
When y = 0, x = 1 or -3
Which corresponds with the ∩ shaped graph
For the function;
f(x) = 2(x + 6)((x - 2)
When x = 0, y = -24
When y = 0, x = -6 or 2
Graph not included
For the function;
f(x) = 0.5(x - 6)((x + 2)
When x = 0, y = -6
When y = 0, x = 6 or -2
Which best suits the second ∪ shaped graph that is lower than the other (first) ∪ shaped graph
For the function;
f(x) = 0.5(x + 6)((x - 2)
When x = 0, y = -6
When y = 0, x = -6 or 2
Graph not included
For the function;
f(x) = (x + 3)((x - 1)
When x = 0, y = -3
When y = 0, x = -3 or 1
Graph not included
Answer:
The guy above me was right. i accidently put in the answers in the wrong order so i thought it was wrong and rated it 1 star
Step-by-step explanation:
What is the approximate length of arc s on the circle below? Use 3.14 for Pi. Round your answer to the nearest tenth.
5.8 ft
6.3 ft
27.5 ft
69.1 ft
Answer:
69.1 ft
Step-by-step explanation:
A circle has 360 degrees.
The arc we are finding the length of is 330 degrees.
Its length is 11/12 of the circle's total circumference. (330/360=33/36=11/12)
Let's find the circumference of the entire circle.
Circumference is πd.
The radius of the circle is 12ft.
Diameter is double of radius.
12*2=24
The diameter is 24.
Plug that in.
24π=75.36 when using 3.14 for π
Multiply that by 11/12.
11/12*75.36=69.08
Round 69.08 to nearest tenth.
69.1
Keywords:
Circle
Circumference
Arc
Diameter
Radius
Learn more about arc length here:
https://brainly.com/question/16930503
Please answer this question now
Answer:
s = 11.4
Step-by-step explanation:
The following data were obtained from the question:
Angle S = 60°
Opposite S = s =?
Opposite U = u = 13
Opposite T = t = 5
Thus, from the data obtained from the question, we can calculate the value of s by using cosine rule as shown below:
s² = u² + t² – 2ut Cos S
s² = 13² + 5² – 2 × 13 × 5 × Cos 60
s² = 169 + 25 – 130 × 0.5
s² = 194 – 65
s² = 129
Take the square root of both side.
s = √129
s = 11.4
Therefore, the value of s is 11.4
(a) use the pythagorean theorem to determine the length of the unknown side of the triangle, (b) determine the perimeter of the triangle, and (c) determine the area of the triangle. the figure is not drawn to scale.
the length of the unknown side is ____
the perimeter of the triangle is ____
the area of the triangle is ___
Answer/Step-by-step explanation:
a. Unknown side, b, using the Pythagorean theorem is solved as shown below.
[tex] b^2 = c^2 - a^2 [/tex]
[tex] b^2 = 45^2 - 27^2 [/tex]
[tex] b^2 = 1,296 [/tex]
[tex]b = \sqrt{1,296}[/tex]
[tex] b = 36 [/tex]
Unknown side, b, = 36 km
b. Perimeter of the triangle = sum of all the sides of the ∆ = [tex] 36 + 45 + 27 [/tex]
[tex] perimeter = 108 km [/tex]
c. Area of triangle = ½*base*height
where,
Base = 36 km
Height = 27 km
[tex] Area = \frac{1}{2}*36*27 [/tex]
[tex] Area = 18*27 [/tex]
[tex] Area = 486 km^2 [/tex]
Pls help I'm so dumb
Answer:
C. p > -3
Step-by-step explanation:
We observe the characteristics of the shaded ray on the number line.
It goes to the right, so the inequality must be either greater than or greater than or equal to.
The circle where it starts on is open, so the inequality must not be less than or equal to or greater than or equal to.
Now, without even looking at the numbers themselves, we can find our answer.
There are four different types of inequalities, and we eliminated three of them (<, <=, >=). This leaves only one left (>). The only answer choice that uses the greater than symbol is C, so it must be our answer.
Henry rented a truck for one day. There was a base fee of 15.99 , and there was an additional charge of 79 cents for each mile driven. Henry had to pay 115.58 when he returned the truck. For how many miles did he drive the truck?
Subtract base fee from total then divide by price per mile:
115.58 - 15.99 = 99.59
99.59 / 0.79 = 126.063 miles
Round the answer as needed.
This isn’t too difficult of questions and I am pretty sure I know the answers but I just want to make sure. Can someone please help.
A cylinder shaped can needs to be constructed to hold 400 cubic centimeters of soup. The material for the sides of the can costs 0.02 cents per square centimeter. The material for the top and bottom of the can need to be thicker, and costs 0.07 cents per square centimeter. Find the dimensions for the can that will minimize production cost.
Answer:
the dimensions for the can that will minimize production cost is 9.13 cents
Step-by-step explanation:
The volume of a cylinder V = π r²h
If we make the height h the subject of the formula; we have :
h = V/ π r²
Given that the volume of the cylinder = 400
Then
h = 400/ π r²
The total cost will be: 0.02 × 2πrh + 0.07 × 2πr²
= 0.04 (πrh) + 0.14 (πr²)
= 0.04 (πr[tex]\frac{400} {\pi r^2}[/tex]) + 0.14 (πr²)
= 16/r + 0.14 (πr²)
total cost(c)= 16/r + 0.14 (πr²)
(c') = -16/r² + 0.28 (πr)
Let differentiate (c') with respect to zero (0); then:
-16/r² = - 0.28 (πr)
r³ = 16/0.28 π
r³ = 18.19
r = 2.63 cm
Recall that:
h = 400/ π r²
h = 400/ π (2.63)²
h = 400/21.73
h = 18.41 cm
From; total cost = 0.04 (πrh) + 0.14 (πr²)
replacing the value of r and h ; we have:
= 0.04 (π×2.63×18.41) + 0.14 (π × 2.63²)
= 0.04 (152.11) + 0.14 ( 21.73)
= 6.0844 + 3.0422
= 9.1266
≅ 9.13 cents
Therefore; the dimensions for the can that will minimize production cost is 9.13 cents
Which store has the lowest delivery charge?
Answer:
Igloo Ice has the lowest delivery charge.
Step-by-step explanation:
Igloo Ice when you plug in 120 for the y you get 25.714 as the x.
Freds freeze at 120 is 20.
And lastly Tasty treats at 120 is 24, so Igloo Ice has the lowest delivery charge per person (you pay $120 for 25.714 people.)
Answer:
Igloo Ice
Step-by-step explanation:
Igloo Ice C(n) = 1.75n + 75
Fred's Freeze C(n) = 2n + 80
Tasty Treats C(n) = 1.25n + 90
75 is the lowest delivery charge
C(n) is total charge including what they are delivering
What is 5,000 - 245( 30/2))?
Answer:
1,325
Step-by-step explanation:
30 /2
= 155,000 - 245(15)
= 5,000 - 3,675
= 1,325
Answer:
1,325
Step-by-step explanation:
A television set costs $350 cash. When bought on hire purchse, a deposit of $35 is required, followed by 12 monthly payments of $30. How much is saved by paying cash?
Answer:
$45
Step-by-step explanation:
find the hire purchase price: 12 months x $30 = $360 + $35 deposit = $395
difference: 395 - 350 = $45
According to the rational root theorem, which of the following are possible
roots of the polynomial function below?
F(x) = 6x3 - 7x2 + 2x + 8
Answer:
18- 14+8=3x
4+8=3x
12=3x
12/3=2x/3
x=4
Answer:
2/3, -8, -1/6, 4.
Step-by-step explanation:
Step-by-step explanation:
The rational root theorem states that if the leading coefficient is taken to be an and the constant coefficient is taken to be a0 the possible roots of the equation can be expressed as :
Now, from the given options, the possible choices can be :
A, B, C and E
D can be there because after taking any pair the rational root can't be 3
F can't be possible because an does't have 4 in its factors so denominator cannot be 4.
What is the approximate angle between two position vectors if their terminal points are (5, -2) and (7, 3)?
Hi,
Answer:
[tex]Angle=\frac{pi}{4}[/tex] = π/4 = 45°
Have a good day.
Gemma wants to draw a triangle with side lengths of 4 inches, 12 inches, and 17 inches. Which statement is true? This triangle exists because the sum of any two side lengths is greater than the length of the third side. This triangle exists because the sum of 4 and 12 is less than 17. This triangle does not exist because the sum of any two side lengths is greater than the length of the third side. This triangle does not exist because the sum of 4 and 12 is less than 17.
Answer:
The triangle inequality states that the sum of the lengths of the two shortest sides of a triangle must be greater than the length of the largest side. Because 4 + 12 > 17 is not a true statement, the answer is "This triangle does not exist because the sum of 4 and 12 is less than 17."
Answer:
This triangle does not exist due to the fact that the sum of 4 and 12 is less than 17
Step-by-step explanation:
The triangle formaction rule states that the 2 smaller sides must be able to combine and be greater than the greatest side.
Triangle
Sides - 3, 4, 5
3+4=7
Meaning the two smaller sides add up to because greater than 5.
Non-Triangle
Sides - 5, 6, 13
5+6=11
This means that this is not a triangle because the smaller sides ‘5 and 6’ do not add up to become greater than 13.
Gemma’s Triangle
Sides - 4, 12, 17
4+12=16
Hence, Gemma‘s figure is not a triangle because the 2 smaller sides ‘4 and 12’ don‘t add up to be greater than 17.
Two fair dices, X and Y , are tossed separately. Let A, B and C represent the following three events. A: You got an odd number from die X. B: You got an even number from die Y . C: The sum of two dice is an odd number. Whether A, B, C are independent
Answer:
Events A and B are independent but Event C is dependent on both Event A and Event B.
Step-by-step explanation:
Find whether events A, B and C are independent.
- Events A and B are independent of each other, because the appearance of an odd number on die X does not effect or influence the appearance of an even number on die Y.
- Event C, on the other hand, is dependent on both event A and event B. How?
For Event C to take place, one die will have to show an odd number while the other shows an even number.
NOTE: The odd number must not show up on die X and the even number show up on die Y. Both number types can appear on any die.
The key is just that one number must be odd and the other even; in order for their sum to be an odd number.