Answers
Answer:
Tan B = AC/ BC
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp side/ adjacent side
Tan B = AC/ BC
Related Questions
A football coach is trying to decide: When a team is ahead late in the game, which strategy is better? Play the "regular" defense. Play a "prevent" defense that guards against long gains but makes short gains easier. The coach reviews the outcomes of 100 games. Compare the probability of winning when playing regular defense with the probability of winning when playing prevent defense. Draw a conclusion based on your results.
Answers
Answer: B
Step-by-step explanation:
The probability of winning when playing regular defense is 42 over the total 50.
42/50 = 0.84
The probabilty of also winning when playing Prevent defense is 35 over the total 50 also.
35/50 = 0.70
0.84 is greater than 0.70 so your more likely to win playing regular defense.
B. P(win | regular) = 0.84
P(win | prevent) = 0.70
Conclusions : You are more likely to win by playing regular defence.
What is probability ?The ratio of favourable outcomes of an event and total outcomes of an event is called probability of that event.
What is the conclusion of the problem ?The number of outcomes of winning by regular defence is 42 out of 50.
∴ P(win | regular) = 42/50 = 0.84
The number of outcomes of winning by prevent defence is 35 out of 50.
∴ P(win | prevent) = 35/50 = 0.70
Conclusion : You are more likely to win by playing regular defence.
Hence the option B is correct.
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Katrina is solving the equation x minus 2 (x + 3) = 4 (2 x + 3) minus (x + 4). Which equivalent equations might Katrina use? Check all that apply.
Answers
Answer:
-7/4 =x
Step-by-step explanation:
x-2(x+3) = 4(2x+3) -(x+4)
Distribute
x -2x -6 =8x+12 -x -4
Combine like terms
-x-6 = 7x +8
Add x to teach side
-x-6 +x = 7x+x+8
-6 = 8x+8
Subtract 8 from each side
-6-8 =8x+8-8
-14 = 8x
Divide by 8
-14/8 = 8x/8
-7/4 =x
Answer:
-5/6Step-by-step explanation:
[tex](x + 3) = 4 (2 x + 3)- (x + 4)\\Ope- the- brackets\\x+3 = 8x +12-x-4 \\Collect- like- terms\\x-8x+x=12-4-3\\-6x =5\\Divide-both-sides-by -6\\\frac{-6x}{-6} =\frac{5}{-6} \\x =-5/6[/tex]
A particular movie theater charges $ 9.00 per adult ticket and $ 3.5 0 per child ticket. Suppose 550 people attended a movie and the total revenue from ticket sales was $ 3575 . Write two linear equations to represent a system to solve this, where x represents the number of adults attending the movie and y represents the number of children attending the movie. Write the equations, but do not solve them. The first equation must come from the information given about the total attendance and the second must come from the ticket prices and revenue. 1)= ? 2)= ?
Answers
Answer:
If x represents the no. of adults
and y represents the children, then
x + y = 550
9x + 3.50y = 3575
Answer:
Step-by-step explanation:
Number of children = y
Number of adults = x
Total people = 550
x + y = 550 ------------------ (I)
Charge for 'y' children =3.50 * y = 3.5y
Charge for 'x' adult = 9 * x = 9x
Total amount = $ 3575
9x + 3.5y = 3575 -------------(II)
Multiply equation (I) by (-9)
(I)*(-9) -9x - 9y = -4950
(II) 9x + 3.5y = 3575 { Now add and so 'x' will be eliminated}
- 5.5y = -1375
y = -1375/-5.5
y = 250
Plug in y = 250 in equation (I)
x + 250 = 550
x = 550 - 250
x = 300
Number of children = 250
Number of adults = 300
An NBA center recently signed a seven-year contract for $121 million. What is the present value of this contract, given a 9% interest rate? In other words, how much must the ball club invest when the contract is signed, so that it can make seven equal payments of $17285714.29, the first one due immediately?
Answers
Answer:
PV= $86,998,184.72
Step-by-step explanation:
Giving the following information:
Annual payments= $17,285,714.29
Number of years= 7
Interest rate= 9%
First, we need to determine the future value incorporating the interest rate.
FV= {A*[(1+i)^n-1]}/i
A= annual payment
FV= {17,285,714.29* [(1.09^7) - 1]} / 0.09
FV= $159,036,085.1
Now, we can calculate the present value:
PV= FV/(1+i)^n
PV= 159,036,085.1/1.09^7
PV= $86,998,184.72
sorry i meant to put this picture.. for math
Answers
Answer:
Area = 4.5 cm²
Step-by-step explanation:
Area of Triangle ABD = [tex]\frac{1}{2} Base * Height[/tex]
Where Base = 3 cm, Height = 3 cm
So,
Area = 1/2 (3*3)
Area = 9/2
Area = 4.5 cm²
What is the "k" value of the following function? Is it 3, -2, -3, or 2?
Answers
Answer:
-3
Step-by-step explanation:
we khow that the vertex form of a function is written this way :
f(x)=a(x-h)²+k
the coordinates of the vertex are (h,k) so from the graph we can deduce that k = -3
Which relation defined by a mapping diagram is not a function?
Answers
Answer:
C
Step-by-step explanation:
Segment RT and Segment GJ are chords that intersect at point H. If RH = 6 units, HT = 5 units, and GH = 3 units, what is the length of line segment HJ? A.) 20 B.) 10 C.) 5 D.) 40
Answers
Answer:
B.) 10 i think
Step-by-step explanation:
Simplify the expression in the following photo.
Answers
Answer:
0
Step-by-step explanation:
If we factor out √5a from the numerator we have √5a * (√4 - √9 + √1) / √5a. √5a cancels out so we are left with √4 - √9 + √1 which equals 2 - 3 + 1 = 0.
NEEEED HELPPP NOWWWW Use long division to find the quotient below.
(x^5+ 18x^2 - 27x) - (x+3)
Answers
Answer:
[tex] {x}^{4} - 3 {x}^{3} + 9 {x}^{2} - 9x[/tex]Option A is the correct option.
Step-by-step explanation:
[tex] \frac{ {x}^{5} + 18 {x}^{2} - 27x }{x + 3} [/tex]
Factor out X from the expression
[tex] \frac{x( {x}^{4} + 18x - 27)}{x + 3} [/tex]
Add and subtract [tex]3 {x}^{3} [/tex]
[tex] \frac{x( {x}^{4} + 3 {x}^{3} - 3 {x}^{3} + 18x - 27)}{x + 3} [/tex]
Write 18x as a difference
[tex] \frac{x( {x}^{4} + 3 {x}^{3} - 3 {x}^{3} - 9 {x}^{2} + 9 {x}^{2} + 27x - 9x - 27 }{x + 3} [/tex]
factor out [tex] {x}^{3} [/tex]from the expression
[tex] \frac{x( {x}^{3} (x + 3) - 3 {x}^{3} - 9 {x}^{2} + 9 {x}^{2} + 27x - 9x - 27) }{x + 3} [/tex]
Factor out [tex] - 3 {x}^{2} [/tex] from the expression
[tex] \frac{x( {x}^{3} (x + 3) - 3 {x}^{2}(x + 3) + 9 {x}^{2} + 27x - 9x - 27) }{x + 3} [/tex]
factor out 9x from the expression
[tex] \frac{x( {x}^{3}(x + 3) - 3 {x}^{2} (x + 3) + 9x(x + 3) - 9x - 27 }{x + 3} [/tex]
Factor out -9 from the expression
[tex] \frac{x( {x}^{3} (x + 3) - 3 {x}^{2} (x + 3) + 9x(x + 3) - 9(x + 3)}{x + 3} [/tex]
factor out x+3 from the expression
[tex] \frac{x(x + 3)( {x}^{3} - 3 {x}^{2} + 9x - 9) }{x + 3} [/tex]
Reduce the fraction with X+3
[tex]x( {x}^{3} - 3 {x}^{2} + 9x - 9)[/tex]
Distribute X through the parentheses
[tex] {x}^{4} - 3 {x}^{3} + 9 {x}^{2} - 9x[/tex]
hope this helps...
Good luck on your assignment...
a shopkeeper bought 1000 glass tumblers at rs8 each. 100 glass tumblers were broken and he sold the rest at rs 10 each. find his gain or loss percent.
Answers
Answer:
Hello!
~~~~~~~~~~~~~~~~~`
Profit % = (Profit/C.P)*100
= (1000/8000)*100
= 12.5%
Step-by-step explanation:
Cp of 1000glass =8000
100were broken =8000-800=7200
now there were 900 glass tumblers left he sold at rs10 each =9000
there for sp is bigger than cp
P in rs =9000-8000=1000
Hope this helped you! Brainliest would nice..!
☆_________________❤︎________________☆
what would the variables for a and b be? 3/x + 5/x^2 = (ax+b)/x^2
Answers
Answer:
a=3,b=5
Step-by-step explanation:
[tex] \frac{3}{x} + \frac{5}{ {x}^{2} } \\ = \frac{3x}{ {x}^{2} } + \frac{5}{ {x}^{2} } \\ = \frac{3x + 5}{ {x}^{2} } [/tex]
so as you got it:
[tex] \frac{(ax + b)}{ {x}^{2} } = \frac{3x + 5}{ {x}^{2} } \\ a = 3 \\ b = 5[/tex]
What stamens is converse of p
p: If every fourth card drawn is a spade, then 25% of the cards in a deck would be spades. If 25% of the cards in a deck are spades, then every fourth card drawn would be a spade. If every fourth card drawn isn’t a spade, then 25% of the cards in a deck aren’t spades. If 25% of the cards in a deck aren’t spades, then every fourth card drawn wouldn’t be a spade. If every fourth card drawn isn’t a spade, then 75% of the cards in a deck are spades.
Answers
Answer:25
Step-by-step explanation:
Get monkeyd
Find the side length of the rhombus pictured below.
3x -8
x + 10
Answers
Hey there! :)
Answer:
19 units.
Step-by-step explanation:
The sides of a Rhombus are all congruent. Therefore:
x + 10 = 3x - 8
Subtract both sides by x:
10 = 2x - 8
Add 8 to both sides:
18 = 2x
Divide both sides by 2:
18/2 = 2x/2
x = 9.
Find the side length by plugging x into an equation:
(9) + 10 = 19 units.
I NEED HELP PLEASE, THANKS! :)
Answers
Answer: 2157
Step-by-step explanation:
3 | 5 10 3 8 -6 -3
| ↓ 15 75 234 726 2160
5 25 78 242 720 2157 ← remainder = f(3)
Answer:
Step-by-step explanation:
f(x)=5x^(5)+10x^(4)+3x^(3)+8x^(2)-6x-3, f(3)
means that : 5x^(5)+10x^(4)+3x^(3)+8x^(2)-6x-3 is divided by x-3
it won't let me add more attachments
Work out the size of angle x.
304°
115)
X
Answers
Answer:
121
Step-by-step explanation:
Angles on a line add up to 180.
180 - 115 = 65
Angles in a circle add up to 360 degrees.
360 - 304 = 56
Angles in a triangle add up to 180 degrees.
180 - 56 - 65 = 59
Angles on a line add up to 180 degrees.
180 - 59 = 121
Following are the calculation to the angle:
Given:
Please find the given question.
To find:
angle=?
Solution:
The sum of all the angles on a line is 180.
[tex]\to 180^{\circ} - 115^{\circ} = 65^{\circ}[/tex]
A circle's angles sum up to [tex]360^{\circ}[/tex]
[tex]\to 360^{\circ} - 304^{\circ} = 56^{\circ}[/tex]
The triangle's angles sum up to [tex]180^{\circ}[/tex].
[tex]\to 180^{\circ} - 56^{\circ} - 65^{\circ}= 59^{\circ}[/tex]
The line's angles sum up to [tex]180^{\circ}[/tex].
[tex]\to 180^{\circ} - 59^{\circ} = 121^{\circ}[/tex]
Therefore, the final answer is "[tex]121^{\circ}[/tex].."
Learn more:
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What is the domain of the function y=3/x-1?
O
-00
O-1
O 0
O 1
Answers
Answer:
x ≠ 1.
Step-by-step explanation:
In mathematics, anything divided by 0 is null. It is not valid. And so, in this case, x - 1 must never equal 0, but it can be any number other than 0.
x - 1 = 0
x = 1
That means that the domain of the function is x ≠ 1.
Hope this helps!
The value of domain is,
⇒ {- ∞, ∞} - {1}
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
The function is,
⇒ y = 3 / (x - 1)
Now, We can find the domain as;
Here, The function is,
⇒ y = 3 / (x - 1)
Hence, Domain is,
⇒ {- ∞, ∞} - {1}
Thus, The value of domain is,
⇒ {- ∞, ∞} - {1}
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PLEASE HELP!!!!! Triangle △A'B'C' is the image of △ABC under a dilation with a scale factor of 2. (graph below) give an explanation please
Answers
Answer:
The Answer I think is A' (0,-2) B' (0,0) C(-3,0)
I will update and do the step by step when it is verified.
Step-by-step explanation:
4. How else can the ratio 4/5 be written?
O A.4:5
O B.5:4
O C.54
O D..2
Answers
Answer:
Answer is option a) 4:5
Step-by-step explanation:
[tex]the \: ratio \: \frac{4}{5} can \: \\ also \: be \: written \: as \: 4 : 5[/tex]
HAVE A NICE DAY!
THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.
Mark says that the number 2 is a rational number because he can write it as the fraction >
Is Mark correct? Why or why not?
O Mark is correct because the denominator, 1, is an integer.
Mark is correct because the fraction is equal to V2.
Mark is not correct because 2 is not equal to the fraction
✓
Mark is not correct because a fraction is rational only if the numerator and the denominator are both integers.
Answers
Answer:
C and D.
Step-by-step explanation:
I am guessing that he wants to find if 2 is a rational number by comparing it to the fraction [tex]\frac{\sqrt {2}}{1}[/tex]
There are a couple of reasons why Mark is not correct:
1. A number is rational only if it can be written as a fraction made up of the numerator and denominator as integers.
2. The fraction [tex]\frac{\sqrt {2}}{1}[/tex] is not equal to 2, so, he is wrong.
So, C and D would be correct.
NOTE: In case I misinterpreted the question, use 1. to judge if it is rational or not, you should get your answer.
Answer:
Mark is not correct because a fraction is rational only if the numerator and the denominator are both integers.
Step-by-step explanation:
This is the correct answer
brainliest pls
Can someone please help me I really need help please help me thank you
Answers
Answer: x=14
Step-by-step explanation: The total is 180 degrees. The right angle is 90, the given angle is 76, so x is 14.
My number is odd. It is a factor of 30 and a multiple of 3 what are my 2 numbers?
Answers
Answer:
3 and 15
Step-by-step explanation:
Factors of 30
30 = 2 , 3 , 5 , 6 , 10, 15
Odd numbers are: 3, 5, 15
Odd number & multiple of 3 are: 3 and 15
The required two odd numbers are 3 and 5.
We have to determine, It is a factor of 30 and a multiple of 3 what are 2 numbers.
To obtain the factor of 30 and 2 numbers is calculated in the following steps.
The Factors of 30 are,
30 = 2 , 3 , 5 ,
And multiply the terms by 2,
[tex]= 2\times 2 , \ 2 \times 3,\ 2 \times5 \\\\=4, \ 6,\ 10[/tex]
After multiply by 2 all the term become even.
Then,
The 2 odd numbers are: 3, 5
Hence, The required two odd numbers are 3 and 5.
To know more about Odd numbers click the link given below.
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Write the equation of the line of best fit using the slope-intercept formula y = mx + b. Show all your work, including the points used to determine the slope and how the equation was determined.
Answers
Answer: ŷ = 0.96185X + 3.55949
Step-by-step explanation:
From the plot provided : our points are;
(19,25), (36,35),(37,39),(41,40),(44,45),(46,50),(47,49),(49,47),(51,55),(57,59),(58,60),(58,61)
According to relation:
Y = mx +c
Using the online linear regression calculator
ŷ = 0.96185X + 3.55949
The gradient or slope (m) = 0.96185
m = (y2 - y1) / (x2 - x1)
At the arena, front section tickets are $12.50 more expensive than back section tickets. If 600 front section and 450 back section tickets to a worship music concert were sold for a total revenue of $31,125, how much does each type of ticket cost?
Answers
Answer:
Back Section Tickets: $22.50
Front Section Tickets: $35
Step-by-step explanation:
600(12.50+x) + 450(x) = 31125
7500+600x + 450x = 31125
1050x = 23625
x = 22.50 = back section tickets
x+12.50 = 35 = front section tickets
Triangle QRS is a right triangle with the right angle at vertex R. The sum of m∠Q and m∠S must be
Answers
Answer:
90 degrees
Step-by-step explanation:
Answer:
you didn't specify much!
So I am saying they are 45° each and that make the sum of both 90°
Step-by-step explanation:
According to the triangle sum theorem, all the angles in a triangle must add up to 180. If one angle is 90° the other two have to add up to 90°,
What is the y-intercept of the line whose equation is 2x-3y=-6
Answers
Answer:
(0, -2)
Step-by-step explanation:
Step 1: Write equation in slope-intercept form
-3y = 6 - 2x
y = -2 - 2/3x
Step 2: Find y-int
y = -2 -2/3(0)
y = -2
(0, -2)
Hi The point C lies on a straight line AB and CD is a ray . If /ACD = 470 and /DCB = x0, find the value of x. Does anyone know the answer of this question ?
Answers
Answer:
x=133 degrees
Step-by-step explanation:
The diagram is drawn and attached below.
Now, AB is a straight line.
[tex]\angle ACD+ \angle DCB =180^\circ $ (Linear Postulate)\\47^\circ+x^\circ=180^\circ\\x^\circ=180^\circ-47^\circ\\x^\circ=133^\circ[/tex]
the profit earned by a hot dog stand is a linear funsion of the number of hot dogs sold.It cost the owner $48 dollars each morning for the day's supply of hot dogs,but he earnes $2 profit for each hot dog sold which equation represent y, the profit earned bye the hot dogs sold
Answers
Answer:
Step-by-step explanation:
If he earns $2 per hot dog sold, then the algebraic expression for this is 2x, where x is the number of hot dogs sold. If he has to put out $48 to buy the supplies, that is represented as -48. The function, then, that represents the profit earned by selling the hot dogs is
y = 2x - 48
Answer:
c
Step-by-step explanation:
What formula tells the cost, in dollars, if
chocolate chip cookies are $1.50/dozen and
lemon frosteds are $ 1.00/dozen? Let c =
number of dozens of chocolate chip cookies; L=
number of dozens of lemon frosteds; T = total
charge.
Answers
Answer:
T = $1.50C + $1.00L
Step-by-step explanation:
Chocolate chip cookies - $1.50/dozen
C: # of dozens of chocolate chip cookies
↓
$1.50C
Lemon Frosteds - $1.00/dozen
L: # of dozens of lemon frosteds
↓
$1.00L
T(total) = $1.50C + $1.00L
Hope that helps.
Which expression is equivalent to 4(7 + 8)? (3 points) 11 + 8 11 + 12 28 + 12 28 + 32
Answers
Answer:
D) 28+32
Step-by-step explanation:
Well, if you solve the equation in the question, you derive 60.
So, solve all of the equations in the answer, and you find that the last answer choice is the only one that equals 60.
Hope this helped.
Answer:
28 + 32
Step-by-step explanation:
4(7 + 8)= 4*7+4*8= 28+32= 60
Last option is correct