Answer:
sin theta = opp/ hypotenuse
Step-by-step explanation:
sin theta = opp/ hypotenuse
cos theta = adj/ hypotenuse
tan theta = opp/ adj
In this case we know the opposite and the hypotenuse
Sydney is going to a carnival that has games and rides. Each game costs $1.25 and each ride costs $2.25. Sydney spent $24.25 altogether at the carnival and the number of rides she went on is 3 more than the number of games she played. Determine the number of games Sydney played and the number of rides Sydney went on.
Answer:
number of games played is 5
number of rides road 8
Step-by-step explanation:
8 x 2.25=18
5 x 1.25=6..25
18 + 6.25=24.25
The number of games Sydney played is 5 and the number of rides Sydney went on is 8.
What is linear equation?Linear equation is the type of equation with highest power 1.
Assume the number games Sydney played be x. So, the number of rides she went is x+3.
The cost of 1 game is $1.25. So, the cost of x games will be 1.25x.
The cost of 1 ride is $2.25. So, the cost of x+3 rides will be 2.25(x+3).
The total cost is $24.25. Formulate the linear equation and solve it.
1.25x+2.25(x+3)=24.25
1.25x+2.25x+6.75=24.25
3.5x=17.5
x=5
Substitute x=5 into x+3.
5+3=8
Thus, the number of games Sydney played is 5 and the number of rides Sydney went on is 8.
To learn more about linear equation click:
https://brainly.com/question/11897796
#SPJ3
Which number line shows the solutions to n<-3
Answer:
[In Picture]
Step-by-step explanation:
There are no given options.
However, I am able to recreate the best answer for the question given.
There would be arrow going to the left from -3. The arrow will include all numbers less than -3.
Since there is a less than sign, the circle at the beginning of the arrow is open.
Choose the option that closely matches the line shown.
The number line is the representation of numbers in real order.
The difference between the consecutive numbers in a number line is always positive.
The number line of n < - 3 is n less than -3.
The graph of the number line is given below.
What is a number line?It is the representation of numbers in real order.
The difference between the consecutive numbers in a number line is always positive.
We have,
n < - 3
This is read as,
n is less than -3.
The graph of the number line is given below.
Thus,
The number line of n < - 3 is n less than -3.
The graph of the number line is given below.
Learn more about number line here:
https://brainly.com/question/13425491
#SPJ5
Directions: Solve each volume problem using the information given. Use 3.14 for pi and label your answer with the appropriate units.
1.) The school cheer leading team uses megaphones in their routines. Each megaphone is a cone. The radius of the megaphone is 5.1 inches and the height of the megaphone is 19.3 inches. What is the volume of the megaphone?
2.) You and your friends buy ice cream cones at the local ice cream shop. The radius of the ice cream cone is 44 millimeters and the volume of the ice cream cone is 356,456.2136 cubic millimeters. What is the height of the ice cream cone?
Answer:
A. 525.42 inches^3
B. 175.91 mm
Step-by-step explanation:
a. Here we are asked to calculate the volume of the cone given the radius and the height of the cone.
Mathematically, the volume of the cone can be calculated using the formula below;
V = 1/3 * π * r^2 * h
where r is the radius which is 5.1 inches and h is the height of the megaphone = 19.3 inches
Plugging these values, we have;
V = 1/3 * 3.14 * 5.1^2 * 19.3 = 525.42 inches^3
b. Here we are tasked with calculating the height given the value of the volume and the radius.
mathematically, the formula to use is
V = 1/3 * π * r^2 * h
where V = 356,456.2136 cubic millimeter and r is 44mm
plugging these values we have
356,456.2136 = 1/3 * 3.14 * 44^2 * h
h =( 1,069,368.6408)/6,079.04
h = 175.91 mm
easy geometric shapes questions help please! they go together
7.solution
v=4/3πr^3
=4/3π×6^3
=4/3×216cm^3π
=288cm^3π
8.solution
SA=4πr^2
=4×6^2π
=4×36cm^2π
=144cm^2π
The solutions of a quadratic equation are 5 and -1. What is the factored form of a related quadratic function?
Answer:
f(x)=(x+1)(x-5)
Step-by-step explanation:
The solutions to a quadratic equation are going to be your x-intercepts, or when y is equal to zero. For y to be zero, all you have to do is have one value equal to zero. When x is 5, (x-5) is equal to zero. When x is -1, (x+1) is equal to zero. This is one example of what your quadratic equation could be.
About 450 manta rays are seen near lady Elliot island each year if you were to spot one manta ray at random what is the probability that it would be clouseau
Answer:
Probability that if a manta ray is spotted at random, it would be clouseau = Total number of Clouseau spotted each year) ÷(Total number of manta rays seen each year)
Step-by-step explanation:
The information given is not enough to determine the probability.
We need to know, how many Clouseau are seen each year, then we can find the desired probability.
The Parameters:
Total number of manta rays seen each year = 450
Probability that if a manta ray is spotted at random, it would be clouseau,
P = Total number of Clouseau spotted each year, C) ÷(Total number of manta rays seen each year, T)
P = C/T
P = C/450
The sum of an 84-number series is –7,980. What is the sum of the first and last numbers?
Answer:
- 190
Step-by-step explanation:
Since the sum of 84 number series is -7980. We have to find the sum of first and last numbers. Since sum of an arithmetic sequence is represented as. S =. (First + last) =. So the total of first and last term is (-190). Option B. -190 is the correct option.
Answer:
B) -190
Step-by-step explanation:
Trust
In a survey of students, 1162 stated they cheated and 2468 stated they did not. If one student is randomly selected what is the probability that they cheated
Answer:
[tex] n = 1162 +2468 =3630[/tex]
And the probability that they cheated and we can use the classical definition of probability given by:
[tex] p =\frac{successes}{Total}[/tex]
And replacing we got:
[tex] p=\frac{1162}{3630}= 0.320[/tex]
So then the probability of people cheated is 0.320 or 32% approximately
Step-by-step explanation:
For this problem we know that in a survey of students, 1162 stated they cheated and 2468 stated they did not.
The total of people is given by:
[tex] n = 1162 +2468 =3630[/tex]
And the probability that they cheated and we can use the classical definition of probability given by:
[tex] p =\frac{successes}{Total}[/tex]
And replacing we got:
[tex] p=\frac{1162}{3630}= 0.320[/tex]
So then the probability of people cheated is 0.320 or 32% approximately
how to find the mean median and mode for 6 5 6 7 6 6 7 4 6 7 7 6 7 7 7 4 7
Answer:
the answer is 7 fiyfooutdt7odtudoutdup tiff 7tduptftucoutctuco7tc
Answer:
the medium is 7
Step-by-step explanation:
please help me i really need to pass.
Simplify the given expression, using only positive
exponents. Then complete the statements that
follow
(x²y3)-1 72
(x-2y+z)2
x60, y#0, 2*0.
?
The exponent on x is
The exponent on y is
The exponent on z is
Answer: x=4 y=14 z=4
Step-by-step explanation:
On edge it is that
The required exponent on x is 4, the exponent on y is 14, and the exponent on z is 4.
What is simplification?Using math and algebraic principles, simplification entails removing pointless variables, factors, or operations from an expression. Getting an expression that is simpler to use, manipulate, or solve is the aim. For example, simplifying an algebraic expression might involve combining like terms, factoring, or using the distributive property.
Here,
To simplify the given expression, we need to use the rules of exponents:
= [(x²y³)⁻¹ / (x⁻²y²z)²]²
= [(1 / x²y³) / (x⁻⁴y⁴z²)]²
= [(1 / x²y³) * (x⁴ / y⁴z²]²
= x⁴ / y¹⁴z⁴
Therefore, the exponent on x is 4, the exponent on y is 14, and the exponent on z is 4.
Learn more about simplification here:
https://brainly.com/question/12501526
#SPJ7
The base of a rectangular prism has an area of 12 square centimeters. The height of the rectangular prism is 3
centimeters.
What is the volume, in cubic centimeters, of this rectangular prism?
Answer:
36
Step-by-step explanation:
12x3=36
Lxwxh
Axh
Answer:
18,6,108
Step-by-step explanation:
edge2020
June and the total of 4/6 hour on her math and reading homework which pair of models could show the amount of time in hours she spends on each subject
Answer:
2/3
Step-by-step explanation:
The square root of 83 can be platted on the number line below
Answer:
Step-by-step explanation:
Help me please !!!!!
Answer:
C =119.32
A =1133.54
Step-by-step explanation:
UR is the radius = 19
Let pi = 3.14
The circumference is
C = 2*pi*r
C = 2 * 3.14 * 19
C =119.32
The area is given by
A = pi r^2
A = 3.14 * (19)^2
A =1133.54
Which binomial is a factor of 9x2 – 64?
Answer:
Factor:
9x2 – 64
=(3x+8)(3x−8)
3x – 8
30 POINTS!!! NEED HELP!!!!
Write the expansion for the series described by the summation notation. *
Captionless Image
a) 9 + 4 + 1 + 0 + 1 + 4 + 9 + 16 + 25 + 36 + 49 + 64 + 81 + 100+ 121 + 144
b) 16 + 9 + 4 + 1 + 0 + 1 + 4 + 9 + 16 + 25 + 36 + 49 + 64 + 81 + 100 + 121
c) 16 + 9 + 5 + 0 + 1 + 4 + 25 + 25 + 36 + 49 + 64 + 81 + 100 + 121
d) None of the above
Answer:
b) 16 + 9 + 4 + 1 + 0 + 1 + 4 + 9 + 16 + 25 + 36 + 49 + 64 + 81 + 100 + 121
Step-by-step explanation:
[tex] \Sigma_{k=1}^{16} (k - 5)^2 \\
= (1- 5)^2 + (2- 5)^2 + (3- 5)^2 + \\ (4- 5)^2 + (5- 5)^2 + (6- 5)^2 \\+ (7- 5)^2 + (8- 5)^2 + (9- 5)^2 \\+ (10- 5)^2 + (11- 5)^2 + (12- 5)^2 \\+ (13- 5)^2 + (14- 5)^2 + (15- 5)^2\\ + (16- 5)^2 \\\\
=(-4)^2 + (-3)^2 + (-2)^2 + (-1)^2 + (0)^2 \\+ (1)^2 + (2)^2 + (3)^2 + (4)^2 + (5)^2 \\+ (6)^2 + (7)^2 + (8)^2 + (9)^2 + (10)^2 + \\ (11)^2 \\\\
=16 + 9 + 4 + 1 + 0 + 1 + 4 + 9 + 16 + 25 \\+ 36 + 49+ 64 + 81 + 100 + 121[/tex]
Which is the rate of change for the interval between 2
and 6 on the x-axis?
-3
-1/3
1/3
3
Answer: 2 box plots. The number line goes from 0 to 20. For East Side Middle School Debate Wins, the whiskers range from 5 to 14, and the box ranges from 10 to 12. A line divides the box at 11. For West Side Middle School Debate Wins, the whiskers range from 3 to 14, and the box ranges from 8 to 12. A line divides the box at 9.
Which of these inferences about the two debate teams are true? Check all that apply.
West Side is more consistent at winning.
East Side is more consistent at winning.
East Side typically wins more debates per year than West Side.
West Side typically wins more debates per year than East Side.
These graphs do not contain enough information from which to draw inferences.
Step-by-step explanation:
Answer: 3
Step-by-step explanation:
I'm a bit stuck, well uhhh you'll see. Please help!! is she 25 or 26 ? ? ?
Answer:
25 years old
Step-by-step explanation:
19+3=22
19+6=25
19+25+22=66
she is 25 years old
A university lecturer has an annual salary of $60000. If this increases by 2% of the previous year each year, what will her salary be after 10 years.
Answer:
73,139.67
Step-by-step explanation:
HELP ME ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing. Answer BOTH of them plz
PLEASE HELP!! WILL GIVE BRAINLIEST IF RIGHT
An account earns annual simple interest, Find the interest earned, principal, interest rate, or time.
Interest earned: ?
Principal: $1250
Interest rate: 3%
Time: 4 years
Answer:
:
I think I know how to solve this. You are trying to find the interest earned.
Step-by-step explanation:
you take the interest rate and convert into a percentage. 3%=0.03You divide that decimal by 100. 0.03/100=0.003Take this number and multiply by the time. 0.0003x4=0.0012You then finally multiply that number by the principle and you have your answer. 0.0012x1250=1.5 percentAnswer:
t says or, so you can answer any however the answer to time would be 4 years or so
Step-by-step explanation:
10x5 = 50
50x50 = 2500
2500x.4= 1000
1000/250=4
4
Step-by-step explanation:
You roll a number cube once.
What is the theoretical probability that you roll a 2 or 4? Enter your answer as a simplified fraction.Use/to write your fraction.
The probability that you roll a 2 or 4 is
Answer:
Step-by-step explanation:
Probability of a 2 = 1/6
Probability of a 4 = 1/6
probability of a 2 or 4 = 1/6 + 1/6 = 2/6 = 1/3
[tex]\text{We need to find the probability of rolling a 2 or 4}\\\\\text{Rolling a 2 or 4 is our intended outcome}\\\\\text{Therefore, it would be 2 outcomes in our probability}\\\\\text{We also know that there are a total of 6 sides in a number cube}\\\text{This represents our total amount of outcomes}\\\\\text{With the information above, we would write our probability as:}\frac{2}{6}\\\\\text{You can simplify it by dividing by 2}\\\\\boxed{\frac{1}{3}}[/tex]
If you spend $448.37 on a car each month, what is your new subtotal of take-home pay after expenses?
Answer:
$629.75
Step-by-step explanation:
2,939.12 (Monthly net pay) - 1379 (Mortgage) - 302 (Food) - 448.37 (Car) - 230 (Gas) = 629.75 (Subtotal)
Bruno is sewing a large rectangular tablecloth for a restaurant. He has 30 square feet of fabric and the length of the table cloth needs to be 7.5 feet. What is the width of the tablecloth if he uses all of the fabric?
Answer:
Step-by-step explanation:
4 ft
Answer:
Step-by-step explanation:
4 ft
brainliest pls i need it :,)
What is the slope of the line represented by the equation f(x)=3/2x-4 ?
Answer:
3/2
Step-by-step explanation:
it's the slope because it's before x.
Answer: 3/2 is the answer
The music teacher has a list of 128 students who have signed up for music classes. The music teacher can register 6 students in each class. What is the least number of classes needed for all the students to be registered in a class?
Answer:
24
Step-by-step explanation:
Divide 128 by 6 and get 23.3 but the .3 you need an extra class to fit the .3 in so add one class.
Carlos took a test and made a 50. On the next test, he made a 75. What is the percentage of change between the two test scores?
150% increase
50% increase
150% decrease
50% decrease
BC=
Round your answer to the nearest hundredth.
B
20°
?
A
4
с
Remember, SOH CAH TOA for the trigonometric functions. In this problem, we are given an angle, a side opposite that angle, and a side adjacent to that angle. So, we should use the tangent function to find the missing side.
tan(20) = 4 / x
tan(20)x = 4
x = 4 / tan(20)
x = 10.99 units
Hope this helps! :)
Answer:10.99
Step-by-step explanation:
How would I write out,10 times a number increased by four is no more than 25 as an inequality?
Answer:
10x + 4 [tex]\geq[/tex] 25