creí que son 21
Step-by-step explanation:
5$--3-$+3+&$73+3-+$
Eight friends want to play enough games of chess to be sure everyone plays everyone else. How many games will they have to play?
The number of games, the friends have to play is an illustration of combination.
They have to play 28 games to ensure that they all play
Given
[tex]n = 8[/tex] --- number of friends
[tex]r = 2[/tex] --- only two friends can play at a time
For everyone else to play, we will make use of the following combination formula;
[tex]^nC_r = \frac{n!}{(n - r)!r!}[/tex]
So, we have:
[tex]^8C_2 = \frac{8!}{(8 - 2)!2!}[/tex]
[tex]^8C_2 = \frac{8!}{6!2!}[/tex]
Expand
[tex]^8C_2 = \frac{8 \times 7 \times 6!}{6! \times 2 \times 1}[/tex]
[tex]^8C_2 = \frac{8 \times 7}{2 \times 1}[/tex]
[tex]^8C_2 = 4 \times 7[/tex]
[tex]^8C_2 = 28[/tex]
Hence, the 8 friends have to play 28 games to ensure that everyone else plays
Read more about combinations at:
https://brainly.com/question/8018593
Mhanifa or anyone please answer!! Find x
Answer:
[tex]x=2.05[/tex]
Step-by-step explanation:
To solve this problem, use the trigonometric ratios. The trigonometric ratios for a right triangle (a triangle with a right angle are the following).
[tex]sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}[/tex]
In this case, one is given the hypotenuse (the side opposite the right angle) and one is asked to find the side adjacent to the given angle. Therefore, it would make the most sense to use the trigonometric ratio of cosine ([tex]cos[/tex]).
[tex]cos(\theta)=\frac{adjacent}{hypotenuse}[/tex]
Substitute,
[tex]cos(47)=\frac{x}{3}[/tex]
Inverse operations,
[tex]3(cos(47))=x[/tex]
Simplify,
[tex]x=2.05[/tex]
Answer:
[tex]x=2.0459[/tex]
Step-by-step explanation:
[tex]Cos 47=\frac{x}{3}[/tex][tex]x=3*Cos47[/tex][tex]2.0459[/tex]»»————- ♔ ————-««
hope it helps...
have a great day!!
Calculate the area.
5 cm
14cm
9 cm
Simplify.√75
A.3√5 B.15√5 C.25√3 D. 5√3
Find the area!!!!!!! thanks
A fireman leaned a 28 foot ladder against a building. If he placed the ladder 14 feet from the base of the building, what angle is formed between the ladder and the ground
Answer:
The ladder makes an angle of 60 degree from the ground.
Step-by-step explanation:
Length of the ladder, L = 28 feet
distance of ladder, d = 14 feet
Let the angle formed with the ground is A.
According to the trigonometry
[tex]\cos A =\frac{d}{L}[/tex]
[tex]\cos A =\frac{14}{28}[/tex]
cos A = 0.5
A = 60 degree
A dolphin is swimming 20 feet below the surface. It descends another 10 feet before rising 2
feet. How far below the surface is it now? {Show the number sentence.
Answer:
28 feet
Step-by-step explanation:
20 + 10 = 30 - 2 = 28 feet
The dolphin is 20 feet below the surface, goes down another 10 feet, so 30 feet below the surface, and raises two feet, so 28 feet below the surface.
The wholesale price for a watch is $25. The markup percent is 50%. What is the retail price?
Answer:
$50
hope this helps!!!!!!!!!
What is x?
8x+6=5x+30
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{8x+6=5x+30}[/tex]
[tex]\large\textsf{SUBTRACT 5x to BOTH SIDES}[/tex]
[tex]\mathsf{8x+6-5x=5x+30-5x}[/tex]
[tex]\large\text{Simplify above to get your new equation}\uparrow[/tex]
[tex]\rightarrow\mathsf{3x +6=30}[/tex]
[tex]\large\textsf{SUBTRACT 6 to BOTH SIDES}[/tex]
[tex]\mathsf{3x +6-6=30-6}[/tex]
[tex]\large\text{CANCEL out: \textsf{6 - 6} because that gives you 0}[/tex]
[tex]\large\text{KEEP: \textsf{30 - 6} because it helps you solve for your x value.}[/tex]
[tex]\mathsf{30-6=\bf 24}[/tex]
[tex]\large\text{New EQUATION: \textsf{3x = 24}}[/tex]
[tex]\mathsf{3x = 24}[/tex]
[tex]\large\textsf{DIVIDE 3 to BOTH SIDES}[/tex]
[tex]\mathsf{\dfrac{3x}{3}=\dfrac{24}{3}}[/tex]
[tex]\large\text{CANCEL out: }\mathsf{\dfrac{3}{3}}\large\text{ because it gives you 1}[/tex]
[tex]\large\text{KEEP: }\mathsf{\dfrac{24}{3}}\large\text{ because it helps solve for x}[/tex]
[tex]\large\text{New EQUATION: }\mathsf{\dfrac{24}{3}=x}[/tex]
[tex]\mathsf{\dfrac{24}{3}=24\div3=\bf 8}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf x = 8}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Find the volume of the cone and round to the nearest tenth.
-13 in.
12 in.
А
1470.3 in.3
B
545. 3 in.
С
1960. 4 in.
D
490.1 in 3
Answer:
V≈1960.4
Step-by-step explanation:
I need help on this :(
Answer:
-16
Step-by-step explanation:
4×(-2)²×(-1)³
=4×4×-1
=-16
What is the value of x? (3x + 50) Enter your answer in the box (6x - 10) X =
Answer:
x = 20
Step-by-step explanation:
(6x - 10) and (3x + 50) are vertical angles and are congruent, then
6x - 10 = 3x + 50 ( subtract 3x from both sides )
3x - 10 = 50 ( add 10 to both sides )
3x = 60 ( divide both sides by 3 )
x = 20
A trapezoid has these coordinates: Point A: (-6, -6) Point B: (-5, -4) Point C: (4, -4) Point D: (5, -6) What is the length of side AD?
Answer:
AD = 11 units
Step-by-step explanation:
d = √(-6+6)²+(5+6)²
d = √11²
d = 11
PLEASE I NEED HELP!!!!!!!!!
The equation y=25x represents Latanya's earnings in dollars and cents, y, for working x hours. Find the rate of change.
Answer:
25 dollars/hour
Step-by-step explanation:
The rate of change is 25 dollars/hour
Angle ABC measures 90 degrees. It has been split into two angles angle ABD and angle DBC. The measure of the two angles is in a ratio of 2:1. What are the measures for each angle.
Answer:
the angle measures are 60 and 30
Help how many questions did you answer correctly
Answer:
450
Step-by-step explanation:
you divide 90 by 20 and times in by 100
What are the solutions of this quadratic equation?
25 points
5 1/3 - 2 4/9= What is the answer?
Answer:
5 1/3 - 2 4/9 = 26/9
26/9 simplified equals 2 8/9
Step-by-step explanation:
I hope that my answer has helped you to understand you questions asked. If you have any further questions, please put them below.
Have a great rest of your day/night!
Answer:
[tex]2\frac{8}{9}[/tex]
Step-by-step explanation:
Two situations are given in the table below. Drag the words to show which situation is modeled by an expression and which is modeled by an equation. CLEAR CHECK Equation Expression Situation Expression or Equation:
6 minutes longer than Laura.
Ken sang 6 minutes longer than Laura.
The phrase “6 minutes longer than Laura” is an expression,
What is an expression?Expression in mathematics is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
We are given that;
6 minutes longer than Laura and Ken sang 6 minutes longer than Laura.
Now,
Because it does not have an equal sign. It can be written as L + 6, where L is the number of minutes that Laura sang.
The sentence “Ken sang 6 minutes longer than Laura” is a situation that can be modeled by an equation, because it involves a relationship between two quantities. It can be written as K = L + 6, where K is the number of minutes that Ken sang and L is the number of minutes that Laura sang.
Therefore, by the given statement answer will be expression.
To know more about an expression follow;
brainly.com/question/19876186
#SPJ2
2. What is the truth value of the following statement?
If a number is divisible by 3, then it is odd.
Answer:
False
Step-by-step explanation:
30 is divisible by 3 yet it is not an odd number, which means that this statement is false.
On the first day of a social media ad campaign, a website had 15 unique visitors. Over the following several days, the website received three times the number of unique visitors as the previous day. The number of visitors, v, can be modeled by v=15⋅3^(d−1), where d is the number of days in the campaign.
On which day of the ad campaign did the website have 10,000 visitors?
4
7
9
6
Answer:
the answer is 7
Step-by-step explanation:
what is X when y= 9 and the equation is -3x+45
Answer:
12
Step-by-step explanation:
I think I haven't learned this yet If I did I forgot but sorry if wrong
Help meh ples and thank you. :p
Answer:
38.465
Step-by-step explanation:
Area of circle =
[tex]\pi \: r {}^{2} [/tex]
diameter= 7
radius is half of the diameter
Radius =7÷2 = 3.5
Area = 3.14 × 3.5 × 3.5
= 38.465 inch squared
HELLLP PLEASE PLEASE HELP
Answer:
Trapezoid
Step-by-step explanation:
opposite of jumping down 10 steps
can anyone help with the math i have posted please?
HELP PLEASE 50 POINTS WILL GIVE BRAINLIEST Drag and drop the expressions into the boxes to correctly complete the proof of the polynomial identity.
(x^2+y^2)^2+2x^2y2−y^4=x^2(x2+4y^2)
Answer:
the 6th expression, the 4th expression, the 1st expression
Step-by-step explanation:
Use the distributive property to remove the parentheses.
(w+12)8
Answer:
(8w+96)
Step-by-step explanation:
(w+12)8
8(w+12)
8•w
8•12
(8w+96)
Please help!!!!!!!!!!!!!!
A copier produces 160 copies of a document in 4 minutes. What is the constant of proportionality that relates the number copies made, y, to the number of minutes, x?
Answer:
40
Step-by-step explanation:
160/4=40