The number of night of work each performers will have equal amount is 1 night
How to find the time of work that the performers will have equal amount?The buskers gets permit which cost $30. They can make an average of $45 per night (n),
Therefore,
y = 45n - 30
Without a permit they may only make an average of $15 per night.
Therefore,
y = 15n
The number of night the money made are both equal.
45n - 30 = 15n
45n - 15n = 30
30n = 30
n = 30 / 30
n = 1
Therefore, the number of night of work each performers will have equal amount is 1 night
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Show that tanø+Cotø = Secø Cosecø
Answer:
True.
Keys:
Manipulate left/right sidesStep-by-step explanation:
[tex]\tan \left(\theta\right)+\cot \left(\theta\right)=\sec \left(\theta\right)\csc \left(\theta\right)\\\tan \left(\theta\right)+\cot \left(\theta\right)\\=\frac{\cos ^2\left(\theta\right)+\sin ^2\left(\theta\right)}{\cos \left(\theta\right)\sin \left(\theta\right)}\\=\frac{1}{\cos \left(\theta\right)\sin \left(\theta\right)}\\\\\sec \left(\theta\right)\csc \left(\theta\right)\\=\frac{1}{\cos \left(\theta\right)\sin \left(\theta\right)}[/tex]
What was shown throughout this problem?
We showed that two different sides are capable of taking the same form.
Let H be the set of real numbers less than or equal to eleven
Answer:
The answer would be Set: "S" = the set of natural numbers greater than 11.
Hope this helps!
one side of a square is represented
Answer:
therees nothing here to help you with?
Step-by-step explanation:
srry abt that but add the square number
Use the given right triangle to find ratios, in reduced form, for sin A, cos A, and tan A. 6 10
Answer:
1.0452
Step-by-step explanation:
10*sin6
10*0.1045
the answer is 1.0452
A motor boat can travel 45 km downstream in 2 h and 30 min; and 39 km upstream in 3 h and 15 min. What is the speed of the boat in still water? What is the speed of the current?
Answer:
c = speed of current = 3 km/hr
r = speed of boat in still water = 15 km/hr
Step-by-step explanation:
Use the formula distance = time x rate to set up these equations
45 = 2.5 (r+c)
39 = 3.25 (r-c)
(r + c) is the speed of the boat added to the speed of the current, downstream
(r - c) is the speed of the boat minus the speed of the current, upstream
Use one equation to isolate a variable then substitute it into the other equation to solve the system.
39/3.25 = r - c
12 + c = r
45 = 2.5 ( 12 + c + c )
18 = 12 + 2c
6 = 2c
c = 3
Then use the equation 12 + c = r from above
12 + c = r
12 + 3 = 15
r = 15 km/hr
Which criterion, if any, could prove the triangles are congruent?
Answer: None
Step-by-step explanation:
There is only one pair of angles and one pair of sides, which is not sufficient to prove triangle congruence.
Write the standard number.
3.6 * 10^-6
Answer:
The answer is 0.0000036.
Step-by-step explanation:
Move the decimal place 6 spaces to the left. I hope this helps! :)
Inaaya has a jar of coins containing only nickels, dimes, and quarters. A nickel is worth 5 cents, a dime is worth 10 cents, a quarter is worth 25 cents, and a dollar is worth 100 cents.
The ratio of the number of quarters to the number of dimes to the number of nickels in the jar is 9:3:1. The total value of all the coins in the jar is $18.20. How many coins does Inaaya have in her jar?
Answer: 91 coins
9 x 25 = 2.25 dollars
3 x 10 = 30 cents
1 x 5 = 5 cents
A bicycle wheel travels exactly 26/pi inches in I full rotation, what is the area, to the nearst square inch, of a circle the same size az the bicycle wheel?
The area, to the nearst square inch, of a circle the same size az the bicycle wheel is 531 inches².
What is the area of the circle?A circle is a bounded figure which points from its center to its circumference is equidistant.
Area of a circle = πr²
Where :
π = pi = 22/7
R = radius
The full rotation of the wheel is equal to the circumference of the wheel.
circumference of the wheel = 2 πr
26π = 2 πr
r = 13 inches
Area = 22/7 x 13³ = 531 inches²
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G.MG.3 Beth is going to enclose a rectangular area in back of her house. The house wall will form one of the four sides of the fenced in area, so Beth will only need to construct three sides of fencing. Beth has 48 feet of fencing. She wants to enclose the maximum possible area.
The maximum area of the rectangular path is when the length is 24 feet and the width is 12 feet.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let x represent the length and y represent the width. Hence:
There is 48 feet of fencing:
x + 2y = 48
x = 48 - 2y (1)
The area (A) is:
A = xy = y(48 - 2y)
A = 48y - 2y²
The maximum area is at A' = 0, hence:
48 - 4y = 0
y = 12
x = 48 - 2(12) = 24
The maximum area of the rectangular path is when the length is 24 feet and the width is 12 feet.
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In the diagram, points D and E are marked by drawing arcs of equal size centered at B such that the arcs intersect and . Then, intersecting arcs of equal size are drawn centered at points D and E. Point P is located at the intersection of these arcs.
Based on this construction, m∠ABP is
°, and m∠ABC is
°.
The measure of ∠ABP and ∠ABC are 32° and 64° respectively.
what is a bisector of an angle?Any line which divides an angle into two equal halves is a bisector of that angle.
Analysis:
Since the arcs at D and E are drawn with the same radius and arc using center D and E are intersected by line PB( which is the bisector of the full arc with center B) then ∠ABP = ∠PBC = 32°.
∠ABC = ∠ABP + ∠PBC
∠ABC = 32 + 32 = 64°
In conclusion, ∠ABP and ∠ABC are 32° and 64°
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Answer:ABP is 32 degrees, and ABC is 64 degrees
Step-by-step explanation: bi hope this helped if not sorry:)
3. The circumference of a circle is 607 cm. What is the diameter of the circle?
120 cm
30 cm
60 cm
90 cm
Answer:
the circumference is 30 cm,
Step-by-step explanation:
Hope it helps
Two adjacent rooms are rectangles, both of length 13 feet by 10 feet. Jerry wants to change the carpets in both rooms. How many square feet should he order?
Answer:
260 square feet
Step-by-step explanation:
The area of a rectangle is given by the formula ...
A = LW
The area of two same-size rectangular rooms will be double the area of one of them.
__
room areaEach room has an area of ...
A = LW = (13 ft)(10 ft) = 130 ft²
carpet orderThe order for carpet must be for 2 times the area of one room:
carpet order = 2 × 130 ft² = 260 ft²
Jerry should order 260 square feet of carpet.
Is anyone able to solve this equation? It’s urgent
Answer:
1500
Step-by-step explanation:
You can find the complete solution in the given attachment
Triangle \triangle ABC△ABCtriangle, A, B, C is reflected across line nnn to create \triangle A'B'C'△A
′
B
′
C
′
triangle, A, prime, B, prime, C, prime.
A triangle A B C. The length of side CA is sixty one units. The angle B is sixty seven degrees. The line n is to the right of triangle A B C. Triangle A prime B prime C prime is the image of triangle A B C after being reflected across line n. The length of side C prime B prime is fifty seven units. Angle A prime is fifty nine degrees.
A triangle A B C. The length of side CA is sixty one units. The angle B is sixty seven degrees. The line n is to the right of triangle A B C. Triangle A prime B prime C prime is the image of triangle A B C after being reflected across line n. The length of side C prime B prime is fifty seven units. Angle A prime is fifty nine degrees.
What is the measure of \angle C∠Cangle, C?
Answer: [tex]54^{\circ}[/tex]
Step-by-step explanation:
Because reflections are rigid motions, we know that [tex]\triangle ABC \cong \triangle A'B'C'[/tex], and thus [tex]\angle B \cong \angle B'[/tex].
It follows that since angles in a triangle add to 180 degrees, [tex]m\angle C'=180^{\circ}-59^{\circ}-67^{\circ}=\boxed{54^{\circ}}[/tex]
b) 9 11 13 15 17
Terms of
n, an expression for the nth term
Answer:
Tn= a+( n-1) 3
Tn= 9+(n-1)3
OMG SUPER HARD QUESTION I DONT KNOW
bob has 2 apples then he eats 1 apple how many apples does he have left
Answer:
1 apple
Step-by-step explanation:
unless you are a psycho who counts the one he ate as still in his possession,
therefore 2 - 1 = 1
hope this helps:)
Need one person help for math Plato class
Answer:
The answer is B. 13.7 inches
i hope this can help you! :)
Which function is shown in the graph below?
O y = logo 4x
O y = log₁x
O y = log3x
O y = log10x
The correct function shown in the graph is,
⇒ log₁₀ (ax) = 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).
It has been given that the point (3,1) is on the graph. For the point (3,1) to be on the graph, the following must hold true:
⇒ log₁₀ (ax) = 1
or , ax = 10¹ = 10
Thus, x = 10/a
So, in order for the point (3,1) to lie on the graph, of all the given options the closest we can get is when we have Option D, that is, when a = 3. That will make x = 3.33 and thus, .
⇒ log (3 × 3.33) = 0.99 ≈ 1
Thus, out of the given options only Option D seems to be the most probable answer.
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what is the quotient of 1/5 divide by (-5/7) =
Answer:
-7/25
Step-by-step explanation:
=(1/5) ÷ (-5/7)
Copy dot flip
=(1/5) * (-7/5)
=-7/25
NEED HELP ASAP!!! PLEASE
The linear function that has a different rate of change from y = -3x+4 is A, a function with a y-intercept of -4 that passes through the point (-3,-13)
What is an intercept?An intercept is the point where a straight line or a curve meets with the x or y axes.
Analysis:
The rate of change is the same as slope. The slope of y = -3x + 4 is -3,
All other functions Except A have a slope of -3.
for linear function A,
if y = mx + c, c = -4, x = -3, y = -13
-13= -3m - 4
-3m = -9
m = 3
In conclusion, linear function A with a y-intercept of -4 passing through the point (-3,-13) has a different rate of change from y = -3x + 4
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How should this model be completed to represent 1,881 ÷ 33?
Answer:
Check the attached image below
Photo is attached, please help! Will give brainliest.
Answer:0.124402866242
Step-by-step explanation:here’s my attempt: dv/dt=d/dt(4pi/3r^3). 100=d/dt((4pi/3)*(8+X*t)^3) at t=0. 100/(4(pi)*8^2)=x where x is the rate of change of the radius. Not 100% sure though
Calculate the area of a triangle with a base of 6 cm and a height of 12 cm
Answer:
36
Step-by-step explanation:
12 x 6 = 72 / 2 = 36 because the area of a triangle is base times height divided by 2
What additional information is needed to prove the triangles are congruent by the SAS postulate
Answer: [tex]\angle XWY \cong \angle ZWY[/tex]
Step-by-step explanation:
We know that [tex]\overline{WY} \cong \overline{WY}[/tex] by the reflexive property, so we need the included angles to be congruent (meaning [tex]\angle XWY \cong \angle ZWY[/tex]
PLEASE HELP ME!!! I WILL GIVE BRAINLEST
PLEASE
Answer:
7
Step-by-step explanation:
you just multiply from the least and once you get to the greatest, it should be 7
Translate then Solve for the variable:
The sum of two times a number and 10 is five times the difference of a number and six.
Solve for the variable then type the answer after rounding your answer to the nearest hundredths
The linear equation will be 2x + 10 = 5(x - 6). Then the value of the variable x will be 23.33.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
Translate then Solve for the variable:
The sum of two times a number and 10 is five times the difference between a number and six.
Let the number be x.
Then the equation will be
2x + 10 = 5(x - 6)
Then the value of x will be
2x + 10 = 5x - 60
5x - 2x = 60 + 10
3x = 70
x = 23.33
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Help me please it’ll be a big help
if g(X)=3x-5,then find g^-1(5),where g is one to one onto function
Answer:
g^-1(5)=10/3
Step-by-step explanation:
g(x)=3x-5
g(x)= y
g^-1( y)=x
3x-5=y
3x=y+5
x=y+5/3
g^-1(y)=y+5/3
g^-1(5)=5+5/3
g^-1(5)=10/3
ow many decimals numbers are there whose value equals the average of their digits?
For example, 2.3 has the digits 2 and 3. Their average is 2.5 -- so that doesn’t work. But there are some that do!
There are a few rules:
Answer:
Step-by-step explanation:
there are infinite numbers between 2 and 3 having average=2.5
2.49,2.51
2.48,2.52
2.47,2.53
2.46,2.54
.................
2.491,2.509
2.492,2.508
2.493,2.507
......................