16 kilometers = 52493.4 feet
Formula: multiply the value in kilometers by the conversion factor '3280.8398950125'.
So, 16 kilometers = 16 × 3280.8398950125 = 52493.4383202 feet.
Exit Topic 8: MathXL for School: Topic Review
Triangle KLM has KL=30, KM = 25, and LM = 22. What is the area of the triangle?
The area of AKLM is about
The area of the triangle is given by Heron's formula A = 269.99 units² which is approximately 270 units²
What is Heron's formula?Heron's formula is used to calculate the area of a triangle in terms of the lengths of its sides. If a, b, and c are the lengths of the sides, then the area of the triangle is
Area of Triangle A = √ [ s(s - a) (s - b) (s - c) ]
where s is half the perimeter, or (a + b + c) / 2
Given data ,
Let the triangle be represented as ΔKLM
Now , the measure of side KL , a = 30
The measure of side KM , b = 25
The measure of side LM , c = 22
From Heron's formula , the half the perimeter s = (a + b + c) / 2
Substituting the values in the equation , we get
s = ( 30 + 25 + 22 ) / 2
s = 38.5
Now , Area of Triangle A = √ [ s(s - a) (s - b) (s - c) ]
Substituting the values in the equation , we get
Area of Triangle A = √ [ 38.5 ( 38.5 - 30 ) ( 38.5 - 25 ) ( 38.5 - 22 ) ]
On simplifying the equation , we get
Area of Triangle A = √ [ 38.5 ( 8.5 ) ( 13.5 ) ( 16.5 ) ]
Area of Triangle A = √ ( 72,894.9375 )
On further simplification , we get
Area of Triangle A = 269.99 units² ≈ 270 units²
Hence , the area of triangle is 270 units²
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Which pair of measurements is not equivalent?
O 25 g. 25,000 kg
O 16 g, 16,000 mg
O 140 mg, 0.14 g
O 5 kg. 5,000 g
The pair of measurements that is not equivalent is 25 g and 25,000 kg. Option A.
What is a unit of measurement?Unit of measurement is defined as every entity having its measures in dimensions, weight, and time. Such as for length we have a meter, for liquid we have liters, and so on.
Here,
The pair of measurements that is not equivalent is 25 g and 25,000 kg.
25 g is a relatively small amount of mass, while 25,000 kg is a very large amount of mass. Therefore, these two measurements are not equivalent.
The other pairs of measurements are equivalent because they involve conversions between different units of the same base unit. For example:
16 g and 16,000 mg, 1 g = 1,000 mg, so 16 g = 16,000 mg
140 mg and 0.14 g, 1 g = 1,000 mg, so 0.14 g = 140 mg
5 kg and 5,000 g, 1 kg = 1,000 g, so 5 kg = 5,000 g
Thus, the pair of measurements that is not equivalent is 25 g and 25,000 kg. Option A.
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Ahmad rented a truck for one day. There was a base fee of 20.95 , and there was an additional charge of 84 cents for each mile driven. Ahmad had to pay 221.7 when he returned the truck. For how many miles did he drive the truck?
The total number of miles Ahmad drove the truck is given by the equation A = 238.988 miles ≈ 240 miles
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
The base fee of the truck = $ 20.95
The cost for each mile driven = $ 0.84
The total amount Ahmad paid = $ 221.7
Let the total number of miles be A
Now , the equation will be
The total amount Ahmad paid = base fee of the truck + cost for each mile driven x total number of miles
Substituting the values in the equation , we get
221.7 = 20.95 + ( 0.84 )A
Subtracting 20.95 on both sides of the equation , we get
0.84A = 200.75
Divide by 0.84 on both sides of the equation , we get
A = 238.988 miles
Hence , the equation is A = 238.988 miles
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If you are told that a 20 kilogram object is raised by 10 meters, you know that Select an answer and submit. For keyboard navigation, use the up/down arrow keys to select an answer. a the force of gravity on the object is 20 kilograms. b the mass of the object is 20 kilograms. с the force of gravity on the object is 10 meters. d the mass of the object is 10 meters. e the acceleration of the object is 200 kilogram-meters.
If you are told that a 20 kilogram object is raised by 10 meters, you know that (b) the mass of the object is 20 kilograms.
The force of gravity, also known as gravitational force, is the force that attracts two objects with mass towards each other.
AS we all know that Mass refers to the amount of matter an object contains, and is measured in kilograms. Weight, on the other hand, refers to the force of gravity on an object, and is measured in newtons.
Now, let's look at the options provided.
Option b states that the mass of the object is 20 kilograms, which is correct. This means that the object contains 20 kilograms of matter, regardless of its location or gravitational force acting on it.
In conclusion, we can determine from the given information that the mass of the object is 20 kilograms. However, we cannot determine the force of gravity acting on the object without additional information.
To calculate the force of gravity on an object, we can use the formula
Fg = mg,
where Fg is the force of gravity, m is the mass of the object, and g is the acceleration due to gravity (approximately 9.81 m/s² on Earth).
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at what points does the curve intersect the paraboloid
The points where the curve intersect the paraboloid is (2, 0, 4).
To find the points of intersection, we set the two equations equal to each other and solve for x, y, and z.
Now, to find the point where the curve r(t) intersects the paraboloid z = x² + y², we can substitute the given value of t into the parametric equations of the curve.
The curve is defined as:
r(t) = t i + (2t - t²) k
where i and k are unit vectors in the x and y directions, respectively.
value of t is given.
Setting t = 2, we have:
x = 2
y = 2(2) - (2)² = 0
z = x² + y² = 4 + 0 = 4
So, the point of intersection is (2, 0, 4).
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_____The given question is incorrect, the correct question is given below:
At what point does the curve r(t)=ti+(2t−t2)k, where t= 2
intersect the paraboloid z=x²+y².
A group of statements that executes as a single unit is a(n) ____.
a. module
b. unit
c. bunch
d. block
The term that describes a group of statements that executes as a single unit is a "block". A block of code is a program that is grouped together and treated as a single unit. So, the correct option is D.
In computer programming, a block is a group of statements or declarations that are enclosed within a set of curly braces ({ }). The block serves as a single unit that is executed together. Blocks are used to organize code and to apply control structures, such as loops and conditional statements, to multiple statements.
A block can contain any number of statements, which can include variable declarations, function calls, loops, conditional statements, and other constructs. The statements within a block are executed in sequence, one after another, unless a control statement is encountered that alters the normal sequence of execution.
For example, a while loop in Java consists of a block of code that is executed repeatedly while a certain condition is true:
while (condition) {
// block of code to be executed while condition is true
}
In this example, the block of code inside the curly braces will be executed repeatedly while the condition specified in the while statement is true. The block can contain any number of statements, and these statements will be executed each time the loop iterates.
Another common use of blocks is to define functions or methods. A function or method is a block of code that can be called from other parts of the program, and can take inputs (arguments) and return outputs. For example, in Python, a function can be defined as follows:
def function(argument1, argument2):
# block of code to be executed in the function
return result
In this example, the block of code enclosed within the function definition is executed when the function is called. The function can take inputs (argument1 and argument2), which can be used within the function, and it can return a result using the return statement.
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If x= 44° and a = 32°, what is the measure of b?
60°
76°
120°
30°
The angle 'b' measure 120 degrees from the diagram.
Solving angles in circle geometryThe given diagram is a circle geometry. Given the following parameters
x= 44° and;
a = 32°
In order to determine the measure of angles 'b'. we will use the expression below;
x = 1/2(b + a)
44 = 1/2 (b- 32)
88 = b - 32
b = 88 + 32
b = 120 degrees
Hence the measure of the angle 'b' from the diagram is 120 degrees.
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The speed of a transverse wave is 25 m/s, if the source produces a disturbance that has a frequency of 200 Hz, what is the wavelength of the wave?
The wavelength of the wave is 0.125 m.
What is Wavelength?A periodic wave's wavelength is its spatial period, or the length over which its shape repeats. It is a property of both traveling waves and standing waves as well as other spatial wave patterns. It is the distance between two successive corresponding locations of the same phase on the wave, such as two nearby crests, troughs, or zero crossings.
A sinusoidal waveform's wavelength (λ) is determined by the equation
λ= ν/f,
where ν denotes the wave's phase speed (or magnitude of the phase velocity) and f denotes its frequency.
According to the given information,
Speed of transverse wave, ν = 25 m/s
Frequency, f = 200 Hz
We know the formula, λ= ν/f
By substituting the values, we get
λ = 25/200
λ = 0.125m
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This question is related to Physics.
Consider the graph of h(r) , which represents the height of a golfball seconds after it has been hit.
Time (in seconds)
Which best describes the domain for the function h(I) ?
The Domain is 0 ≤ x ≤ 4 and Range is 0 ≤ y ≤ 80.
What is Domain and Range?The range of values that we are permitted to enter into our function is known as the domain of a function. A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.
Given:
We know that the domain of a function is the set of values that we are allowed to plug into our function.
From the Graph the x values ranges from 0 to 4.
So, domain is 0 ≤ x ≤ 4.
and, the range is the corresponding output for the input
From the Graph the y values ranges from 0 to 80.
So, Range is 0 ≤ y ≤ 80.
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natural stone bridge forms over a river. water erodes the rock surface making a hole for water to pass through which enlarges over time.
the curve can be modelled by the equation h =-0.0159d² + 290 where h is the height and d is the width.
find the vertex.
what does the vertex tell you about the bridge?
what is the span of the the rainbow bridge?
Answer:
Step-by-step explanation:
The equation h = -0.0159d² + 290 models the curve of the natural stone bridge, where h is the height of the curve in feet and d is the width of the curve in feet.
To find the vertex of the curve, we need to use the formula x = -b / 2a, where x represents the x-coordinate of the vertex and a and b are coefficients of the quadratic equation. In this case, the quadratic equation is h = -0.0159d² + 290, so a = -0.0159 and b = 0. To find the vertex, we plug these values into the formula:
x = -b / 2a = 0 / (2 * (-0.0159)) = 0
So the x-coordinate of the vertex is 0, which means the vertex is at the point (0, 290).
The vertex tells us that the highest point of the bridge (the vertex) is at a width of 0 feet. This means that the bridge is tallest at its center, and the height decreases as the width increases in either direction. Additionally, since the coefficient of the squared term is negative, the parabolic curve is downward-facing, which indicates that the bridge curves downward as it extends outward.
To find the span of the rainbow bridge, we need to find the width of the bridge where the height is 0. This represents the point where the bridge intersects with the river. To do this, we set h = 0 and solve for d:
0 = -0.0159d² + 290
0.0159d² = 290
d² = 290 / 0.0159
d ≈ 77.36
So the width of the bridge where the height is 0 is approximately 77.36 feet. Therefore, the span of the rainbow bridge is approximately 154.72 feet (twice the width at the point where the height is 0).
A number is chosen at random from the first 100 positive integers. Find the probability that the number is either even or a perfect square. 11/20 1/20 3/5.
The probability that the number is either even or a perfect square is [tex]\frac{3}{5}[/tex]
Probability refers to potential.This branch of mathematics deals with the occurrence of a random event. The value's range is 0 to 1. Probability is a concept in mathematics that helps predict the likelihood of certain events. Probability generally refers to the degree to which something is likely to occur..we will understand the potential outcomes for a random experiment using this fundamental theory of probability, which is also applied to the probability distribution. Knowing the total number of outcomes is necessary before we can calculate the likelihood that a certain event will occur.
Total Number of Outcome = 100
Number of even numbers = 50
Number of perfect square = 10
[tex]Probability \:=\:\frac{Number\: of\: favourable\:outcome\:}{Number\: of\: total\:outcome\:}[/tex]
[tex]Probability=\frac{50}{100} +\frac{10}{100} = \frac{60}{100} =\frac{3}{5}[/tex]
Therefore, the probability that the number is either even or a perfect square is [tex]\frac{3}{5}[/tex]
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Pls helppppp its math and its pretty hard
A maintenance worker needs to wax a restaurant floor shaped like the image shown. A six-sided figure. There is a horizontal base of 35 feet then another horizontal base below it of 20 feet. The longest side is to the right and is 40 feet. The top is 30 feet. There is a perpendicular from the vertex of the top to the first base of 35 that is labeled 15 feet. If the wax cost $1.38 a square foot, how much will the wax cost to cover the floor? $1,224.75 $1,569.75 $2,104.50 $2,449.50
The total cost of wax to cover the floor is
B. $1569.75How to find the cost that will cover the floorThe area for of the floor is calculated and multiplied by the unit cost $1.38 to get the total cost
The floor is segmented and the area calculated and added together at last
1. Area of rectangle joining the right triangle
= 15 * (30 - 20)
= 150 square feet
2. Area of right triangle
= 1/2 * 15 * (35 - 10)
= 187.5 square feet
3. Area of the large rectangle
= 40 * 20
= 800 square feet
total area = 800 + 187.5 + 150 = 1137.5
cost of wax to cover the floor
= total area * unit cost
= 1137.5 * 1.35
= $1569.75
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complete question: image is attached
Answer:
The correct answer is B.
Step-by-step explanation:
I literally just took the test.
point q is located on the coordinate grid (9-73, -3,32) in which quadrant is point Q located?
Answer:
Quadrant III
Step-by-step explanation:
hope it helps :-)
can somebody help me here
After multiplying and adding given equations, new equations are
3x² + 2xy - 8y² = -273 and 4x - 2y = -32 respectively.
Solutions of the equations are x = -5 and y = 6.
What is linear equation?A linear equation is an equation in which the greatest power of a variable is always 1. Also called the 1 degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. where x is a variable, A is a coefficient, and B is a constant.
Given equations,
a) x + 2y = 7
b) 3x - 4y = -39
Multiplying both equations
(x + 2y)(3x - 4y) = (7)(-39)
Using Foil method (a+b)(c+d) = ac + ad + bc + bd
3x² - 4xy + 6xy - 8y² = -273
3x² + 2xy - 8y² = -273
Which is a new equation.
Adding both equations
(x + 2y)+(3x - 4y) = (7)+(-39)
Adding like terms, we get
4x - 2y = -32
Solving the equations (a) and (b)
a) x + 2y = 7
x = 7 - 2y
Substituting x in terms of y in equation (b)
b) 3x - 4y = -39
3(7 - 2y) - 4y = -39
21 - 6y - 4y = -39
-10y = -60
y = 6
then x = 7 - 2(6)
⇒ x = - 5
Hence, x = -5 and y = 6 are solutions of given equations.
3x² + 2xy - 8y² = -273 is the equation, after multiplying both equations.
4x - 2y = -32 is equation after both equations are added.
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Find X.
to
37°
39°
30°
Answer:123 degrees west
Step-by-step explanation: ngl i need them points but the degrees add up to 123 sine the is a prime number
Clark gets a savings account that earns an interest rate of 0.5%. Clark starts with principle balance of $120. Use the equation I = prt where I = interest earning, p = principle balance, r = interest rate, and t = time in years. How much interest is earned, in dollars, when t = 10?
Clark earns $6 in interest when t = 10 years, and with principle balance of $120.
What is Interest ?When someone borrows a particular amount of money, they must pay interest. This phrase is frequently used in relation to banks, loans, payments, and investments. It is connected to the percentage, rate, and duration for which the borrowed amount of money is owed.
Using the formula I = prt, we can calculate the amount of interest earned by Clark over a period of 10 years:
I = prt
I = (0.005)(120)(10)
I = 6
Therefore, when t = 10 years, Clark earns $6 in interest.
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7.
Find the circumference of the circle in terms of pi
OC -12.5
0 - 13.1
OC -14.3
OC - 42.9m
6.55
The circumference of the circle is 6.55π
How to determine the circumferenceThe circumference of a circle is given by the formula:
C = πd
Where d is the diameter of the circle.
We are given that the diameter is 6.55, so we can substitute this value into the formula to find the circumference:
C = π(6.55)
Evaluate
C = 6.55π
Hence, the circumference of the circle, in terms of pi, is approximately 6.55π
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Complete question
Find the circumference of the circle in terms of pi
Diameter = 6.55
[3] a recipe for cookies calls for 3 +
Cups of gusar cam t has already
put in 31 Cups,how many morecups
does she need to put i n !l
The number of more cups that she needs to put in will be 28 cups.
What is the solution to the equation?An answer to a formula is any variable value that fulfills the equal outcomes, that is, it tends to make the Left Hand Side (LHS) and Right Hand Side (RHS) of the formula equal. To solve an equation, you must locate the feasible solution) to that formula.
A recipe for cookies calls for 3 Cups of sugar. And t has already put in 31 Cups. Then the equation is given as,
t + 3 = 31
t = 31 - 3
t = 28 cups
The number of more cups that she needs to put in will be 28 cups.
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Does anybody understand this question? Please explain how you solved it Thank you
The difference between Monica’s age and her father’s age is 32 years.16 years ago her father was 9 times as old as Monica. Find Monica’s age and her father’s age
Monica's age is 20 years and her father's age is 52
What is Simultaneous equation?Simultaneous equations are two or more algebraic equations that share variables e.g. x and y . They are called simultaneous equations because the equations are solved at the same time. For example, below are some simultaneous equations: 2x + 4y = 14 4x − 4y = 4.
Represent Monica's age by x and her father's age by y
y -x = 32 equation 1
y-16= 9(x-16)
= y-16 = 9x -144
y-9x = -144+16
y - 9x = -128 equation 2
subtract equation 2 from 1
-x-( -9x )= 32-(-128)
8x = 160
x = 160/8
x = 20
substitute 20 for x in equation 1
y = 32+x
y = 32+20
y = 52
Therefore Monica's age is 20 and her father's age is 52
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2.
REASONING Write an equation in slope-intercept form of the line that passes
through the point (8, 2) and is parallel to the graph of the equation y = 4x - 3.
y
Grade 8: MRL CC 2022 Chapter 4>Section 4.7: Wri
Y
Answer:
y=4x-30
Step-by-step explanation:
A closed half-plane is the solution of a linear inequality that comes close to the boundary line.
O True
O False
Answer:false
Step-by-step explanation:
the sum of 3 times a number and 4 equals 6. Turn it into an equation.
Answer:
3x+4=6
Step-by-step explanation:
HELP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! NOW PLEASE YOU GET 25 POINTS
Which are the solutions to the following inequality?
−2(4y+4)+5y≤−35
Answer:
y ≥ 9
Step-by-step explanation:
−2(4y+4)+5y ≤ −35
-8y - 8 + 5y ≤ -35
-3y - 8 ≤ -35
-3y ≤ -27
y ≥ 9
A recent survey found that 75% of households had internet access and 80% of households had cable television. Also, it was reported that 70% of the households in the survey had both Internet and cable television. Determine the probability that a rabdomly selected household in the survey had either internet access or cable.
The required probability of the randomly selected households either having internet access or cable television is equal to 0.85.
Let us consider 'A' represents the number of house hold has internet access.
And 'B' represents the number of house hold has cable television.
P(A) = 75%
= 0.75
P(B) = 80%
= 0.80
Number of household has both internet access and cable television
= P( A∩B)
= 70%
= 0.70
Probability of randomly selected household either with internet access or cable are P( A∪B) :
P( A∪B) = P(A) + P(B) - P( A∩B)
Substitute the value we get,
⇒ P( A∪B) = 0.75 + 0.80 - 0.70
⇒ P( A∪B) = 0.85
Therefore, the probability of household having either internet access or cable television is equal to 0.85.
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Please help
Solve for x
[tex] \sf 36 \degree = 3x[/tex]
These angles are equal because they are vertically opposite to each other...[tex] \sf36 \div 3 = 3x \div 3 \\ \tt \: x = 12[/tex]
Solve for x. Round to the nearest tenth of a degree, if necessary.
L
6.5
Go
M
K
8.4
Using the cosine ratio, the value of x, to the nearest tenth, is: 39.3°.
How to Apply the Cosine Ratio?The cosine ratio is part of the trigonometric ratios, which is given as:
cos ∅ = length of adjacent side / length of hypotenuse.
Given the following:
Length of adjacent side = 6.5
Length of hypotenuse = 8.4
Reference angle (∅) = x
Plug in the values:
cos x = 6.5/8.4
x = cos^(-1)(6.5/8.4)
x = 39.3°
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TREES From point A,
the angle of elevation to the top of a pine tree is 42°.
From point B,
on the same side of the tree, the angle of elevation to the top of the tree is 50°.
If point A
and point B
are located 12
feet apart and are both at ground level, what is the approximate height of the tree to the nearest foot?
Answer:
44 ft
Step-by-step explanation:
To find the height of the tree, h, model the given scenario as a two right triangles and solve using the tan trigonometric ratio.
[tex]\boxed{\begin{minipage}{7 cm}\underline{Tan trigonometric ratio} \\\\$\sf \tan(\theta)=\dfrac{O}{A}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf O$ is the side opposite the angle. \\\phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\end{minipage}}[/tex]
See attached for a diagram modelling the given information.
Create two tan ratios using the given information, and rearrange each equation to isolate x.
Equation 1
Given:
θ = 42°O = hA = x + 12Therefore:
[tex]\begin{aligned}\implies \tan 42^{\circ}&=\dfrac{h}{x+12}\\\\ x+12&=\dfrac{h}{\tan 42^{\circ}}\\\\ x&=\dfrac{h}{\tan 42^{\circ}}-12\end{aligned}[/tex]
Equation 2
Given:
θ = 50°O = hA = x[tex]\begin{aligned}\implies \tan 50^{\circ}&=\dfrac{h}{x}\\\\ x&=\dfrac{h}{\tan 50^{\circ}}\end{aligned}[/tex]
To find the value of h, substitute equation 2 into equation 1 to eliminate x and solve for h:
[tex]\implies \dfrac{h}{\tan 50^{\circ}}=\dfrac{h}{\tan 42^{\circ}}-12[/tex]
[tex]\implies \dfrac{h}{\tan 50^{\circ}}-\dfrac{h}{\tan 42^{\circ}}=-12[/tex]
[tex]\implies \dfrac{h\tan 42^{\circ}-h\tan 50^{\circ}}{\tan 50^{\circ}\tan 42^{\circ}}=-12[/tex]
[tex]\implies \left(\dfrac{\tan 42^{\circ}-\tan 50^{\circ}}{\tan 50^{\circ}\tan 42^{\circ}}\right)h=-12[/tex]
[tex]\implies h=\dfrac{-12\tan 50^{\circ}\tan 42^{\circ}}{\tan 42^{\circ}-\tan 50^{\circ}}[/tex]
[tex]\implies h=44.1967977...[/tex]
Therefore, the approximate height of the tree to the nearest foot is 44 ft.
AABC transforms to produce AABC. Which transformation did NOT take place?
The transformation that did not take place is a dilation, as the side lengths for both triangles are constant.
What are transformations on the graph of a function?Translation: Translation left/right or down/up, changing the position of the figure.Reflections: Over one of the axes or over a line, changing the orientation of the figure.Rotations: Over a degree measure, changing the inclination of the figure.Dilation: Coordinates of the vertices of the original figure are multiplied by the scale factor, changing the side lengths of the figure.For this problem, the side lengths remain constant, hence a dilation did not take place.
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Find using Heron's Formula
Answer: look at the image for the answer
Step-by-step explanation: