Answer:
The bird has to fly 7.5 m
Step-by-step explanation:
Please see diagram in attached image.
Notice that there is a right angle triangle that defines the situation, and you know two elements of such triangle;
1) one acute angle ([tex]15^o[/tex]), and
2) the side opposite to that angle.
What you need to find is the side adjacent to the angle, which is what the bird needs to fly horizontally to be above the fish. We named that "x".
The trig function that relates such triangle elements is the tangent:
[tex]tan(\theta)=\frac{opposite}{adjacent} \\tan(15^o)=\frac{2\,m}{x} \\x=\frac{2\,m}{tan(15^o)} \\x=7.46 \,\,m[/tex]
which rounded to the nearest tenth is: 7.5 m
1. fill in the blanks below and write and evaluate an example of a function part1: Ashley earns 17 per hour. define the variables and state which quantity is a function of the other. part 2: using the variables defined in part 1, write a function using notation that represents Ashley's income Part 3: Ashley's hours for the last two weeks were 35 hours and 29 hours. Using the function you wrote in Part II, determine her income for each of the two weeks. Show your work. (4 points) 37 Week 1: Ashley worked 35 hours. She earned __________. Week 2: Ashley worked 29 hours. She earned __________.
Answer:
See below
Step-by-step explanation:
Part 1 -
x: number of hours worked
y: total income
This is written as → y = f(x)
Part 2 -
y = 15*x
Part 3 -
f (35) = 15 × 35 = $525
f (29) 15 × 29 = $435
Week 1 - Ashley worked 35 hours with a total income of $525.
Week 2 - Ashley worked 29 hours with a total income of $435.
The population of Peru is 10904 the population of Franklin is 25248. The population of Franklin is percent more than the population of Peru
Answer:
132%
Step-by-step explanation:
The population of Peru = 10904
The population of Franklin = 25248.
Difference = 25248-10904=14,344
Expressing as a percentage of the population of Peru
[tex]\dfrac{14344}{10904} X 100[/tex]
=132%
Therefore, the population of Franklin is 132% more than the population of Peru.
Find the missing segment
Answer:
? = 9.
Step-by-step explanation:
According to the AA Theorem, the two triangles are similar.
[tex]\frac{30}{30 + 5} =\frac{54}{? + 54}[/tex]
30 (? + 54) = 54 * 35
30? + 1620 = 1890
3? + 162 = 189
3? = 27
? = 9
Hope this helps!
Marcus is saving up his money to buy a television that costs $395.50. Right now he has $85.00, and can save $29.00 each week. How many weeks will it take for Marcus to have enough money to buy the television?
Answer:
11 weeks
Step-by-step explanation:
He has 85 and can save 29 each week. This must be greater than the cost of the tv
85 + 29 w > 395.50
Subtract 85 from each side
85 -85 + 29 w > 395.50-85
29w >310.50
Divide by 29
29w/29 > 310.5/29
w >10.70689655
The number of weeks must be greater than 10.7 so rounding up
He must save for at least 11 weeks
what is the midpoint of the line segment with endpoints (-4 -3) and (-7 5) A. (1.5, -4) B. (-4,1.5) C. (1, -3.5) D. (-3.5, 1)
Answer:
given,
the points are(-4,-3) and (-7,5)
now, midpoint=
[tex] \frac{x1 + x2}{2} , \frac{y1 + y2}{2} [/tex]
or, midpoint =
[tex] \frac{ - 4 - 7}{2} ,\frac{ - 3 + 5}{2} [/tex]
therefore the midpoint is (-11/2,1)... ans
hope it helps..
It takes 6 apples to make a cake. How many whole cakes can I make if I have 57 apples?
Answer:
9.5 cakes
Step-by-step explanation:
Answer: You can only make 9 whole cakes
Step-by-step explanation:
You have 57 apples and you use 6 apples to make a cake .
To figure out the number of cakes you need to divide 57 by 6
You get 9 whole cakes with 3 apples left
What type of function is represented in the table? exponential linear quadratic logarithmic
Answer:
quadratic
Step-by-step explanation:
Linear function is represented by the data given on the table.
What is linear equation?" Linear equation is an algebraic expression in which highest exponent of the given variables is one. It represent a straight line."
General form of linear equation
y = ax + b
According to the data given in the table,
When x = 0 , y = -3 ,
Substitute the given values of x and y in general form of linear equation
- 3 = a × 0 + b
⇒ - 3 = b ____(1)
When x = 1 , y = 5
5 = a × 1 + b
5 = a + b ____(2)
Substitute the value of b in (2) we get,
5 = a + ( -3)
⇒ a = 8
Substitute the value of 'a' and 'b' in general form of linear equation and check whether it is true for other values of x and y.
y = 8x - 3
check for the x = 2
y = 8(2) -3
⇒ y = 13
Yes , it is correct.
When x =3
y = 8 (3) - 3
⇒ y = 21
It is correct.
Hence, we conclude that Linear function is represented by the data given on the table.
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Using the given points and line, determine the slope of the line. (-3, 0) and (2, 7) slope = - slope = - slope = slope =
Answer:
slope = [tex]\frac{7}{5}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 3, 0) and (x₂, y₂ ) = (2, 7)
m = [tex]\frac{7-0}{2+3}[/tex] = [tex]\frac{7}{5}[/tex]
Answer:
7/5
Step-by-step explanation:
m=y2-y1/x2-x1
7-0=7
2-(-3)=5
7/5
pls help me with number 10
Answer:
D
Step-by-step explanation:
Δ KLM is equilateral ( 3 congruent angles ), thus 3 sides are congruent
KM = LM = 5
Δ MJK is isosceles ( base angles are congruent ), thus
MJ = KM = 5 , substitute value
x + 1 = 5 ( subtract 1 from both sides )
x = 4 → D
x=4
Step-by-step explanation:
all sides are 5 on the bottom triangle and the top triangle has 2 sides that are equal and one equals 5. there for it becomes x +1=5. 4
Plz help me 2/3(6-9x)+15
Answer:
19-6x
Step-by-step explanation:
2/3(6-9x)+15
=4-6x+15
=19-6x
Answer:
19-6xSolution,
[tex] \frac{2}{3} (6 - 9x) + 15 \\ = \frac{2}{3} \times 6 - \frac{2}{3} \times 9x + 15 \\ = 4 - 6x + 15 \\ = 4 + 15 - 6x \\ = 19 - 6x[/tex]
Hope this helps...
Good luck on your assignment..
Will mark as Brainlist!
the pilot was scheduled to depart at 4:00 pm, but due to air traffic, her departure has been delayed by 16 minutes. Air traffic control approved a new flight plan that will allow her to arrive four times faster than she calculated in her original flight plan. Let x represent the time, in minutes, of her original flight. Create an equation that can be used to predict the number of minutes after 4:00 pm she will arrive at her destination.
y= 1/4x - 16
y = 4x − 16
y=1/4x + 16
y = 4x + 16
Answer:
y=1/4x + 16
Step-by-step explanation:
Answer:
cccccccccccccccccccccccccccc
C!
Triangle STV has vertices S (-3, -2) , T (-4, 3) and V (-2, 3). If (x, y) arrow (x+2, y-3), what are the vertices of its image?
Answer:
see below
Step-by-step explanation:
The mapping tells you how to find the vertices of the image:
(x, y) ⇒ (x +2, y -3)
S(-3,-2) ⇒ S'(-3 +2, -2 -3) = S'(-1, -5) . . . . . matches choice D
T(-4, 3) ⇒ T'(-4 +2, 3 -3) = T'(-2, 0)
V(-2, 3) ⇒ V'(-2 +2, 3 -3) = V'(0, 0)
Answer:
D
Step-by-step explanation:
Somebody please help me!!!
Answer:
512.
according to the instructions you are told to drag and carry the numbers in the box below to the correct destination in the sequence until the ninth value.
If its not correct drag to the trashcan to delete
Step-by-step explanation:
2, -4, 8, -16, 32, -64, 128, -256,512
that's the sequence to be filled in
A popular dance club allows 30 customers to enter per hour. The club has to keep their occupancy below 400 at any time during the day. Currently, the club has 130 customers. If none of the customers leave, how many more hours, x, can the club continue to accept new customers? Select the number line that includes the largest number of hours the club can continue to accept new customers without exceeding their occupancy
Answer:
largest # of hours is 9
Step-by-step explanation:
PLEASE HELP PLEASE triangle sériese!!!!!!!!
Answer:
1/4+1/16+1/64+1/256+1024
Sorry if i am wrong
If i am right please make me brainliest
Answer:
341/1024 (or) 0.333
Step-by-step explanation:
1st) 1/4 of 1 = 1/4
2nd) 1/4 of 1/4 = 1/16
3rd) 1/4 of 1/16 = 1/64
4th) 1/4 of 1/64 = 1/256
5th) 1/4 of 1/256=1/1,024
so 1/4+1/16+1/64+1/256+1/1024with the same common denominator is
256/1024+64/1024+ 16/1024+4/1024+1/1024=
341/1024
Help!!!!! I need help fast.
Answer:
[tex](x + 3)^2 + (y- 2)^2 = 4[/tex]
Step-by-step explanation:
A circle which has center at point(a,b) on coordinate plane and its radius is r, then its equation is represented by
(x-a)^2 + (y-b)^2 = r^2
______________________________________
In the problem
we have
center as (-3,2) while radius is 2 units.
Thus, it equation can be written based on above discussion as
a = -3, b = 2 r =2
[tex](x-a)^2 + (y-b)^2 = r^2 \\(x-(-3))^2 + (y- 2)^2 = 2^2\\(x + 3)^2 + (y- 2)^2 = 4[/tex]
thus, correct choice is option third.
Please Help! The figure is composed of a regular pentagon and a rectangle. What is the measure of each of the angles identified as x?
Answer:
[tex]x=36^{\circ}[/tex] is the required answer.
Step-by-step explanation:
The angles are Adjacent when they have a common side and a common vertex (corner point) and don't overlap. The Sum of adjacent angles is [tex]180^{\circ}[/tex]
[tex]x+108^{\circ}+x=180^{\circ}\\\\\Rightarrow x=36^{\circ}[/tex]
[tex]108^{\circ}[/tex] represents the internal angle of a pentagon.
Best Regards!
The value of x is,
⇒ x = 36
Since, We have to given that,
The figure is composed of a regular pentagon and a rectangle.
We know that,
Since, Sum of all the angles of a regular pentagon is, 540 degree
Hence, Each angle of a pentagon is,
⇒ 540 / 5
⇒ 108 degree
So, By given figure we get;
⇒ x + 108 + x = 180
(By linear pair angles)
⇒ 2x + 108 = 180
·⇒ 2x = 180 - 108
⇒ 2x = 72
⇒ x = 36
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What are the domain and the range of this function?
Answer:
domain: -5≤x<1
range: -4≤y<7
Step-by-step explanation:
The domain of the line segment will be [-5, 1) and the range of the line segment will be [-4, 7).
What is a linear equation?A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
A line segment in mathematics has two different points on it that define its boundaries. A line segment is sometimes referred to as a section of a path that joins two places.
The domain means all the possible values of x and the range means all the possible values of y.
From the graph, the domain of the line segment will be [-5, 1) and the range of the line segment will be [-4, 7).
More about the linear equation link is given below.
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If I have 2 circles, circle A has a radius of 2, and circle B has a radius of 3. What is the ratio of the radius of circle A to circle B? For some reason I am drawing a blank. I know this is super simple. I am wanting to say 1:1.5 but that doesn't sound right.
-402 + br – 11 = 0
Determine a possible value of b so that the quadratic has two complex solutions.
1)
12
2)
-14
3)
-16
4)
14
Answer:
2
Step-by-step explanation:
can somewon help me plz
Answer: s=36
Step-by-step explanation:
To solve for s, we can use our algebraic properties to solve.
[tex]\frac{1}{3}s+14=26[/tex] [subtract both sides by 14]
[tex]\frac{1}{3}s=12[/tex] [multiply both sides by 3]
[tex]s=36[/tex]
Answer:
The answer is s=36
Step-by-step explanation:
Solve this quadratic equation by completing the square.
x2 + 8x= 10
A. X=-8 + V10
B. x= -4 26
O C. X= -8 + V26
D. X=-4 + V10
SUBMI
DO
Answer:
B
Step-by-step explanation:
Find the perimeter Jose wants to put a fence around his rectangular garden. His garden measures 33 feet by 39 feet. How much fencing material does Jose need to enclose the garden? Question 2 options: a) 257.4 feet b) 1287 feet c) 144 feet d) 72 feet
Answer:
144
Step-by-step explanation:
2(39+33)
2(72)
144
=144
HELPPPP NOW Lisa paid $35.00 to join an online music service. If she purchases 18 songs each month at a cost of $0.75 per song, what will be the total amount she has spent after 4 months?
Answer:
$54 for 4 months $89 in total
Step-by-step explanation:
Lisa paid $35 at first
then she paid 0.75 per song which is 0.75 *18 = $13.5
Then just multiply 13.5 by 4 b/c of 4 months
The total amount Liza has spent after 4 months is $89.
What is an equation?Mathematically, an equation can be defined as a statement that supports the equality of two expressions, which are connected by the equals sign “=”. For example, 2x – 5 = 13.
Given that, Lisa paid $35.00 to join an online music service, she purchases 18 songs each month at a cost of $0.75 per song,
we need to find the total amount she paid after 4 months,
So, the cost of 18 songs = 0.75 x 18 = $13.5
The cost of 18 songs in 4 months = $54
Now, the total amount she paid = $54 + $35 = $89
Hence, the total amount Liza has spent after 4 months is $89.
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A pole that is 2.6 m tall casts a shadow that is 1.38 m long. At the same time, a nearby tower casts a shadow that is 49.25 m long. How tall is the tower? Round
your answer to the nearest meter.
Answer:
92.7
Step-by-step explanation:
1.38 ÷ 2.6 = .53076923
this means ↑that number is what percent shadows covers
49.25 ÷ .53076923 = 92.7 (roughly)
You are a young entrepreneur who ventures into selling milk tea. On the soft opening day, you sold all 50 glasses of classic and flavored milk tea, and bought in P4700. You need to determine how many glasses of classic milk tea and how many glasses of flavored milk tea were sold on that day if a glass of classic milk tea costs P100 and a glass of flavored milk tea is P80.
Answer:
35 glasses of classic milk tea
15 glasses of flavored milk tea
Step-by-step explanation:
You sold 50 glasses of classic and flavored milk tea.
c + f = 50
You made 4700 when classic tea costs 100 and flavored tea costs 80.
100c + 80f = 4700
Use this system of equation to solve. Use substitution. Rearrange the first equation so that it is equal to c. Then, plug the c-value into the second equation.
c + f = 50
c = 50 - f
100c + 80f = 4700
100(50 - f) + 80f = 4700
5000 - 100f + 80f = 4700
5000 - 20f = 4700
-20f = -300
f = 15
Plug the f-value into one of the equations and solve for c.
c + f = 50
c + 15 = 50
c = 35
35 glasses of classic milk tea and 15 glasses of flavored milk tea were sold.
Q1: What are rational exponents, and how are they related to integer exponents? Q2: How can the average rate of change be identified for a function? Q3: How do linear and exponential functions compare as the domain increases?
BOSE
Consider the quadratic function.
f(p) = p? – Sp-5
What are the values of the coefficients and the constant in the function?
a = -1, b = -8, c = -5
a = 1, b= -5, C = -8
a = 1, b = -8, c = -5
a = -1, b = -5, C = 8
Answer:
a = 1 ; b = -8 ; c = -5
Step-by-step explanation:
f(p) = p² - 8p -5
a = co-efficient of p² = 1
b = co-efficient of p = -8
c = constant = -5
To graph f(x) = 2x ^2+ 1, what would
you do to the graph of f(x) = x??
Answer:
Well you make a parabola 2 times more narrow.
move it up 1
Calculate the area and the perimeter of the figure
Answer:
Area: 5 cm squared
Perimeter: 12 cm
Step-by-step explanation:
The area is Length times Width, and there is 5 different sqaures in the figure.Each sqaure has an area of 1 by 1, which is 1. 1 times 5 is 5. So the area is 5. You can get the perimeter by adding all the side lengths together, 2+3+2+1+1+1+1+1=12. The perimeter is 12. Hope this helps.