Answer:
$54.99/person
Step-by-step explanation:
Divide '26 persons' into the total cost $1,429.74: we get $54.99/person.
For positive acute angles A and B, it is known that tan A = 35/12 and sin B = 20/29. Find the value of sin(A - B ) in the simplest form.
Answer:
[tex]\displaystyle \sin(A-B)=\frac{495}{1073}[/tex]
Step-by-step explanation:
We are given that:
[tex]\displaystyle \tan(A)=\frac{35}{12}\text{ and } \sin(B)=\frac{20}{29}[/tex]
Where both A and B are positive acute angles.
And we want to find he value of sin(A-B).
Using the first ratio, we can conclude that the opposite side is 35 and the adjacent side is 12.
Then by the Pythagorean Theorem, the hypotenuse is:
[tex]h = \sqrt{35^2 + 12^2} =37[/tex]
Using the second ratio, we can likewise conclude that the opposite side is 20 and the hypotenuse is 29.
Then by the Pythagorean Theorem, the adjacent is:
[tex]a=\sqrt{29^2-20^2}=21[/tex]
Therefore, we can conclude that:
So, for A, the adjacent is 12, opposite is 35, and the hypotenuse is 37.
For B, the adjacent is 21, opposite is 20, and the hypotenuse is 29.
We can rewrite sin(A-B) as:
[tex]\sin(A-B)=\sin(A)\cos(B)-\cos(A)\sin(B)[/tex]
Using the above conclusions, this yields: (Note that since A and B are positive acute angles, all resulting ratios will be positive.)
[tex]\displaystyle \sin(A-B)=\Big(\frac{35}{37}\Big)\Big(\frac{21}{29}\Big)-\Big(\frac{12}{37}\Big)\Big(\frac{20}{29}\Big)[/tex]
Evaluate:
[tex]\displaystyle \sin(A-B)=\frac{735-240}{1073}=\frac{495}{1073}[/tex]
How would you write twenty-one thousand six hundred fifty-six in standard form?
27,656
21566
21,665
2165
Answer:
21,656 is the correct answer.
in my opinion none of the option is correct-_-
Set up an equation and use it to solve for X
(6x + 3)
33°
9514 1404 393
Answer:
24
Step-by-step explanation:
The angles of a linear pair are supplementary.
(6x +3)° +33° = 180°
6x = 144 . . . . . . . . . . . divide by °, subtract 36
x = 24 . . . . . . . . divide by 6
109+20,00 help meeeeee
Answer:
109+20,00=21,09
Step-by-step explanation:
Ms. Garcia asked her students to write the following expression in standard form. 5+49-6) Hiromi wrote the following expression. 39 - 5 a Hiromi's expression vequivalent to the given expression. b. The given expression in standard form is
(is it equivalent?)
Answer:
garcia a mafia member
Step-by-step explanation:
Write in standard form: six hundred seven and twenty-three hundredths *
Answer:
607.23
Step-by-step explanation:
Answer:
6723
Step-by-step explanation:
There is a rope hanging from the top of a pole with 3 feet of it lying on the ground. When it is tightly stretched, so that the end just touches the ground, it reaches a point 8 feet from the base of the pole. How long is the rope
Answer:
length of rope [tex](P+3) =12.167[/tex]
Step-by-step explanation:
From the question we are told that
Length of rope on Ground [tex]L_1=3 feet[/tex]
Length of rope from pole base when stretched [tex]L_2=8feet[/tex]
Given length of pole as P
length of the rope is therefore given by
[tex]P+3[/tex]
Generally the Pythagoras theorem is mathematically given by
[tex]P^2+8^2=(P+3)^2[/tex]
[tex]P^2+64=P^2+9[/tex]
[tex]P=9.167[/tex]
Therefore
length of rope [tex]P=9.167[/tex]
length of rope [tex](P+3) =9.167+3[/tex]
length of rope [tex](P+3) =12.167[/tex]
Match each sum or difference with the correct simplified expression.
(x - 5) - (x - 1)
2x - 4
(x - 5) + (x + 1)
2x - 6
(x - 5) - (x + 1)
4.
(x - 5) + (x - 1)
-6
Answer:
[tex](x-5)-(x-1)=-4[/tex]
[tex]=2x-4[/tex]
[tex](x-5)+(x+1)=-6[/tex]
[tex](x-5)+(x-1)=2x-6[/tex]
Step-by-step explanation:
In each of the expressions we first need to open the brackets and change the sign according to the sign preceding the bracket. After that we perform simple arithmetic to find the result.
[tex](x-5)-(x-1)=x-5-x+1[/tex]
[tex]=-4[/tex]
[tex](x-5)+(x+1)=x-5+x+1[/tex]
[tex]=2x-4[/tex]
[tex](x-5)-(x+1)=x-5-x-1[/tex]
[tex]=-6[/tex]
[tex](x-5)+(x-1)=x-5+x-1[/tex]
[tex]=2x-6[/tex]
The answers are
[tex](x-5)-(x-1)=-4[/tex]
[tex](x-5)+(x+1)=2x-4[/tex]
[tex](x-5)+(x+1)=-6[/tex]
[tex](x-5)+(x-1)=2x-6[/tex]
Answer:
Step-by-step explanation:
I got it right on edge 2022!
х+ Зу = 6
бx — бу = 4
Answer:
the first one is x= 6-3y or if you are going to solve with the y it will be y =2 - x/3
the second one if you are solving for x it will be x= 2/3 + y if you are solving for y it will be x = 2/3 + x
Step-by-step explanation:
hope this helps
x = 6 - 3y....... equation 1
6x -6y = 4
or, 6 (6 - 3y) - 6y = 4
or, 36 - 18y - 6y = 4
or, 36 - 24y = 4
or, 36 - 4 = 24y
or, 32/24 = y
or, 4/3 = y
In the figure below, angle X is 35 degrees. What is the measure of angle Z?
Answer:
Z = 45 degrees
Step-by-step explanation:
the angle is still an acute angle but it is not a right angle so it must be 45 according to my calculations. plz mark brainliest
Two angles of a triangle have measures that total 135 degrees. Which equation can be used to find m, the measure of the third angle? (Hint: The sum of the angles of a triangle is equal to 180°.) Om + 180 = 135 Om 135 =180 m - 135 =180 135m = 180
Answer:Phytagorean thereom
Step-by-step explanation:it helps really try it.
Finding a percentage of a total amount: Real-world situations
Espad
Kevin started to run on a treadmill after setting its timer for 92 minutes. The display says that he has finished 72% of his run. How many minutes have gone
by? Round your answer to the nearest tenth.
1 minutes
?
The final cost of a sale item is determined by multiplying the price on the tag by 75%. Which best describes the function that represents the situation?
It is linear because the ratio of the change in the final cost compared to the rate of change in the price tag is constant.
It is linear because the function is continuous.
It is nonlinear because the final cost is determined by multiplying each price tag by 0.75.
It is nonlinear because the price tag and final cost columns do not have the same common difference
Answer:
It is linear because the ratio of the change in the final cost compared to the rate of change in the price tag is constant.
The statement 'it is linear because the ratio of the change in the final cost compared to the rate of change in the price tag is constant' describes this case.
What is the ratio of the change?The ratio of the change is the value that one values changes depending on the corresponding change suffered by another variable.
In this case, the ratio of the change is linear because both variables are directly (proportionally) related and determine a constant equation.
In conclusion, the statement 'it is linear because the ratio of the change in the final cost compared to the rate of change in the price tag is constant' describes this case.
Learn more about the ratio of the change here:
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0.8% as a fraction or a mixed number in simplest form
Answer:
1/125
Step-by-step explanation:
What is the area of a rectangle with side lengths of 5 12 foot and 2 3 foot
Answer:
3 2/3ft²
Step-by-step explanation:
Area of a rectangle = Length × Width
Given
Length = 5 1/2 foot
Width = 2/3foot
Substitute
Area of the rectangle = 5 1/2 × 2/3
Area of the rectangle = 11/2×2/3
Area of the rectangle = 22/6
Area of the rectangle = 11/3
Area of the rectangle = 3 2/3ft²
Jessica is making cookies and brownies for a bake sale. Her recipe for cookies calls for 1 egg per batch, and her recipe for brownies calls for 2 eggs per batch. If Jessica uses 18 eggs and makes 11 batches, how many batches of cookies and brownies did she make?
Answer:
Number of batches of cookies = 4
Number of batches of brownies = 7
Step-by-step explanation:
Let the number of batches of cookies she made = x
And the number of batches of brownies = y
Total number of batches she made = 11
So the equation representing batches will be,
x + y = 11 ---------(1)
Her recipe for cookies calls for eggs = 1 per batch
So eggs required for x batches of cookies = 1 × x = x
Similarly, her recipe for brownies calls for eggs = 2 per batch
So, eggs required for y batches of brownies = 2y
Total number of eggs required = 18
Therefore, equation will be,
x + 2y = 18 ---------- (2)
Equation (2) minus equation (1)
(x + 2y) - (x + y) = 18 - 11
y = 7
From equation (1),
x + 7 = 11
x = 4
Therefore, number of batches of cookies and brownies she made were 4 and 7.
A comic book is marked down 25% off of the original price. The original price was $40. what is the final price after the mark down?
Answer:
$30
Step-by-step explanation:
25% of 40 = 10
40-10 = 30
Please round to the nearest 100th place
Answer:
its 14.3, you first have to multiply each side and just work down
A jar contains 2 blue marbles and 3 red marbles. Al picks 1 marble from the jar without looking. What is the probability that the marble Al picks is blue
Answer:
there is a 2 out of 3% chance it will be a blue marble.
Step-by-step explanation:
Please help me with this question.
Answer:
A. -g/-8
Step-by-step explanation:
Since there is a negative sign before the fraction -g/8, A would be the best choice because the negative on the problem given is the same as -g/-8. No matter if there's a negative sign before the fraction, both the denominator and numerator would still be negative.
Because you want to prepare and serve the healthiest food possible you monitor the fat and calorie continent of items on your menu some of the menu items are included in the graph below. Is the trend line linear if so write a linear equation that represents the trend line
If there's a graph, maybe I could help...?
help me please!!!!!!!:(
Answer:
4.15
Step-by-step explanation:
Suppose a researcher is testing to see if a basketball player can make free throws at a rate higher than the NBA average of 75%. The player is tested by shooting 10 free throws and makes 8 of them. In conducting the related test of significance we have a computer applet do an appropriate simulation, with 1000 repetitions, and produce a null distribution. This distribution represents:_______.
A. Repeated results if the player makes 75% of his shots in the long run.
B. Repeated results if the player makes 80% of his shots in the long run.
C. Repeated results if the player makes more than 75% of his shots in the long run.
D. Repeated results if the player makes more than 80% of his shots in the long run.
E. None of these
Answer: A. Repeated results if the player makes 75% of his shots in the long run.
Step-by-step explanation:
The null distribution is always the opposite of the alternative distribution which in most cases represents the claim or hypothesis which is to be tested or performed. In the scenario given, the challenge is to show that a basketball player has an average higher than that of the NBA. NBA average stands at 75%. The alternative hypothesis is the claim, which is ;
H1 : μ > 75%
THE null is thus :
H0 : μ = 75% ; which means that repeated result of the player will yields an average of 75%
Determine the measure of ∠Z.
Question 5 options:
A)
41.76°
B)
13.29°
C)
87.71°
D)
48.24°
Answer:
A
Step-by-step explanation:
The measure of the angle Z is equivalent to 41.7°.
What is tangent function?The tangent function is one of the main six trigonometric functions and is generally written as tan (x). It is the ratio of the opposite side and the adjacent side of the angle in consideration in a right-angled triangle.Given is a right angle triangle XYZ.
Using the tangent function, we can write -
tan(Z) = XY/XZ
tan(Z) = 25/28
tan(Z) = 0.89
Z = tan⁻¹(0.89)
Z = 41.7°
Therefore, the measure of the angle Z is equivalent to 41.7°.
To solve more questions on angle measurements, visit the link below -
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Help how do I solve this and what is the answer. Explain plz
Let N* be the total number of ranchers in Uruguay, and N(t) be the number of ranchers who have adopted an improved pasture technology there. Assume that the rate of adoption, , is proportional to both the number who have adopted the technology and the fraction of the ranchers who have not (and so are susceptible to conversion). Let a be the proportionality constant.
a. Write down the differential equation modeling N(t).
b. According to Banks (1993), N* = 17000, N(0) = 170, a = 0.5 per year.
Determine how long it takes for the improved pasture technology to spread to 80% of the population of the ranchers.
Answer:
A) dN / dt = aN( N* - N ) /N*
B) 12 years
Step-by-step explanation:
attached below is a detailed description of the solution
A) Write down the differential equation modelling N(t)
The differential equation of the modelling = dN / dt = aN( N* - N ) /N*
B) Determine how long it takes for improved pasture technology to spread to 80% of the population of the ranchers
firstly we will resolve the ODE and apply partial fractions, integrate and exponentiate before inputting the given data. attached below is a detailed solution
The quotient of a number is -5 decreased by 9?
Corey need a 24 boards that are 47 1/2 inches long
A. How many feet a boards should he buy? Explains.
B. if you can only buy 8-fot boards, how many should he buy? explain
Answer:
Step-by-step explanation:
1 foot = 12 inches
47.5 inches × (1 foot)/(12 inches) = (47.5/12) feet
24 boards × ((47.5/12) feet)/board = 95 feet
:::::
(8 feet)/board × (12 inches)/foot = (96 inches)/board
96/47.5 = 2 remainder 1
An 8-foot board provides two 47.5" boards, with an inch wasted.
He needs to buy 12 of the 8-foot boards.
Pls help out need answers quick
Answer: answer is 8 because -5 + 1 = -4 then + 10 = 4
Answer:
see photos
Step-by-step explanation:
Plato/Edmentum
in the function y=2-5x, what is f(3)?
Answer:
- 13
Step-by-step explanation:
\begin{gathered}y = 2 - 5x \\ f(x) = 2 - 5x \\ f(3) = 2 - 5(3) \\ f(3) = 2 - 15 = - 13\end{gathered}
y=2−5x
f(x)=2−5x
f(3)=2−5(3)
f(3)=2−15 = −13