Using the formula for angle of depression if the mirror is at a distance of 10.85 meters from the flagpole, then the height of the flagpole is 15.56 meters.
What is angle of depression?
An angle formed between a horizontal line and the line connecting an object and the observer's eye is referred to as the angle of depression. Two variables, namely height and distance, affect this angle.
The height of the school's flagpole = h
The distance from flagpole to mirror = 10.85 m
The distance from mirror to other side = 1.15 m
The height of Jevonte eyes' to the ground = 1.65 m
Let the angle of depression from Jevonte's point of view be represented by θ. Then apply the required trigonometric function -
tan θ = opposite / adjacent
tan θ = 1.65/1.15
tan θ = 1.4347
θ = tan^-1 (1.4347)
θ = 55.12°
For the given mirror, the angle of incidence is equal to that of reflection. Then apply the required trigonometric function -
tan θ = opposite / adjacent
tan 55.12° = h/10.85
1.4347 = h/10.85
h = 1.4347 × 10.85
h = 15.56
Therefore, the height value is obtained as 15.56 m.
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How do log graphs work?.
Answer:
On a logarithmic scale, numbers on the Y-axis don't move up in equal increments but instead each interval increases by a set factor – it's often 10 but could be a factor of 3 or 350 or 3,500, anything at all.
Step-by-step explanation:
7th grade question will give brainlist thingy pls answer asap
pls help!!!! (Statistics and two way tables)
Percentage of unemployment is 58.33 % in the total household of 60,000.
What is Percentage?Although the abbreviations "pct.", "pct.", and "pct." are also used, the percent symbol, "%," is most commonly used. A percentage is a number with no dimensions and no standard measurement.
The English word "percentage" is derived from the Latin phrase "per centum," which means "by the hundred." Percentages are fractions with a numerator of 100. In other words, it is a relationship in which the total value is always assumed to be one hundred.
Percentage calculation is the process of determining a percentage of a whole in terms of 100. There are two ways to calculate a percentage:
Using the unitary approach
by adjusting fraction's denominator to 100.
It should be noted that when the denominator is not a factor of 100, the second technique of percentage calculation isn't applied. In these situations, we employ the unitary technique.
Total number of household is 60000
Total number of household which is unemployed is 35000
Percentage of unemployment = (35000/60000) * 100 = 58.33 %
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The ma of a hydrogen atom i 1. 67 x 10^-24 gram. The ma of a carbon atom i 1. 99 x 10^-23 gram. A molecule of methane contain 4 atom of hydrogen and 1 atom of carbon. A) calculate the ma of one molecule of methane. Give your anwer in tandard form
b) calculate the number of molecule in 1 gram of methane. Give your anwer in tandard form to 3 ignificant figure
The mass of one molecule of methane is 2.658 × [tex] {10}^{-23} [/tex] and number of molecules of methane is 3.76.
Mass of one molecule of methane = mass of one carbon atom + 4×mass of one hydrogen atom
Mass of methane = 1.99 × [tex] {10}^{-23} [/tex] + 4 × 1.67 × [tex] {10}^{-24} [/tex]
Performing multiplication first
Mass of methane = 1.99 × [tex] {10}^{-23} [/tex] + 4 × 6 68 × [tex] {10}^{-24} [/tex]
Equating the exponents
Mass of methane = 1.99 × [tex] {10}^{-23} [/tex] + 0.668 × [tex] {10}^{-23} [/tex]
Performing addition
Mass of methane = 2.658 × [tex] {10}^{-23} [/tex]
Now, 2.658 × [tex] {10}^{-23} [/tex] is the weight of molecules number = 1
1 gram will have number of molecules = 1/ 2.658 × [tex] {10}^{-23} [/tex]
Number of molecules = 3.76
Thus, mass is 2.658 × [tex] {10}^{-23} [/tex] and 3.76 molecules are there.
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What is the equivalent of 2x²?.
The 2x²- 4, expression is equivalent to 2(x²-2) with the same variable and exponent we multiply with their constant value.
Distribution property: Multiplying numbers by the sum or difference is the same as multiplying each number in the sum or difference and then adding or subtracting. Example: 6(2+4)= 6(2) + 6(4)
Equivalent Expressions: Expressions are equivalent if they are equal to each other when contracted or expanded. Steps to write equivalent expression using distributive Property,
Step 1 : A list of all the elements with coefficient a
Step 2: List all the factors of constant b.
Step 3: Compare the factors identified in a and b and identify the factors they have in common.
Step 4: Choose one of the factors f such that f(ax/f + b/f). We have, f(x) = 2x² - 4 . Using the above steps,
=> 2x² - 4 = 2 × x × x - 2× 2
As we see, 2 is common factor in both
=> 2( x² - 2)
So, required expression is 2( x² - 2) .
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Complete question:
What is the equivalent of 2x² - 4?.
how do i evaluate the function p(x)=-x^5+11x^3+7 when x=3
To evaluate the function p(x) = -x^5 + 11x^3 + 7 when x = 3, you need to substitute 3 for x in the function and then perform the arithmetic operations.
p(3) = -(3)^5 + 11(3)^3 + 7
p(3) = -243 + 363 + 7
p(3) = 137
So, p(3) = 137
Cyrus plans a design to paint on his bass drum. He
starts with figure P and translates it 3 units to the
right to form figure P'. Then he reflects figure P'
across the y-axis to form figure P". Then Cyrus dilates
figure P" using a scale factor of 2 to form figure P"".
The center of dilation is at the origin. Draw figures
P', P", and P"" in the coordinate plane.
The figures P', P", and P"" have been drawn below in the coordinate plane. The solution has been obtained using transformation.
What is transformation?
An operation that manipulates a polygon or other two-dimensional object on a plane or coordinate system is known as a transformation.
The shape in two dimensions before any alteration is known as a pre-image or inverse image. The shape after transformation is the image.
Cyrus is planning a design to paint on his bass drum.
He starts with figure P and translates it 3 units to the right to form figure P'. This means he moves 3 units closer to the y-axis.
Then he reflects figure P' across the y-axis to form figure P".
Then he dilates figure P" using a scale factor of 2 to form figure P"". This means that the figure is twice of P".
The center of dilation is at the origin.
From this, the below figure has been obtained.
Hence, the figures of P', P", and P"" in the coordinate plane have been constructed.
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Which expression has a solution of 56 if r = 8?
8r
7r
6 r
9 r
Answer:
7r is the correct answer
Step-by-step explanation:
7 x 8 = 56
6. Find all the possible values for x.
The value of 'x' = 12°
What is a circle:A circle is a closed polygon and a two-dimensional object where every point in the plane is equally spaced from a central point. Examples are rings, discs, wheels, bangles, coins, etc.
In a circle angle at the center will always equal 360°. There is a number of circular items that we can observe in the real world.
Here we have
(x²)°, 10x°, and (5x+36)° angles made by 3 sectors in a circle
As we know the sum of the angles at the center of a circle = 360°
=> x² + 10x + 5x+36 = 360
=> x² + 15x +36 = 360
=> x² + 15x - 324 = 0
Now factorize the above equation for the 'x' value
=> x² + 27x - 12x - 324 = 0
=> x(x + 27) - 12(x + 27) = 0
=> (x + 27) (x - 12) = 0
=> (x + 27) = 0 or (x - 12) = 0 144 + 96
=> x = -27 x = 12
Here 'x' cannot be negative
Therefore,
The value of 'x' = 12°
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HELP ILL GIVE BRAINLY!!!! (LOOK AT THE PICTURE)
Answer:
30 seconds.
Step-by-step explanation:
Think of it this way:
20 seconds has a two and 2/3 has a two.
1/3 must be 10 seconds.
0/3 is 0 seconds.
Which means 3/3, the full length, will take 30 seconds.
On a map two points are 7cn apart the map has a scale of 1:10000 what is the actual distance
Answer:
700 meters.
Step-by-step explanation:
The actual distance between the two points can be determined by using the scale of the map. If the scale of the map is 1:10,000, it means that one unit of measurement on the map represents 10,000 units of the same measurement in reality.
Therefore, if the distance between the two points on the map is 7cm, the actual distance is 7cm * 10,000 = 70,000cm or 700 meters.
So, the actual distance between the two points is 700 meters.
A container of bead contain8 redbead, 7 yellow bead , and green bead. A bead will be drawn from the baket and replace 60 time what i a reaonable prediction for the number of time green or red bead i drawn
A reasonable prediction for the number of times a green or red bead will be drawn from the container of beads, after being replaced 60 times, would be 42.
A reasonable prediction for the number of times a green or red bead will be drawn from the container of beads, after being replaced 60 times, would be close to the proportion of green or red beads in the container. The container has 8 red beads and 6 green beads out of a total of 8 + 7 + 6 = 21 beads. The proportion of green or red beads is (8 + 6) / 21 = 14/21.
We can use this proportion to predict the number of times a green or red bead will be drawn from the container. By multiplying the proportion of green or red beads by the number of times the bead is replaced, we get (14/21) * 60 = 42.
In this scenario, we are using the concept of probability and proportion. The probability of drawing a green or red bead is 14/21, and by multiplying it by the number of trials (60), we get the expected number of times the green or red bead will be drawn. This concept is used in statistics and probability to make predictions based on the available data. It is important to note that this is only a prediction and actual results may vary.
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33. The value of a sports car is modeled by the expon ential function graphed at the right. After how many years will the value of the car be less than one-half of its original value?
Based on the given exponential graph, the value of car will be decreased by half after 2 years.
Exponential Function -The exponential function is a type of mathematical function that can be used to determine if anything is increasing or decreasing exponentially, such as population, money, or price.
Jonathan was reading a news story about the most recent bacterial growth study.
He had read that one bacteria had been used in an experiment. The bacterium doubled in size and had two by the end of the first hour. The number was four after the second hour.
he number of microorganisms was growing hourly. If this pattern holds, he wondered how many bacteria there will be in 100 hours. When he asked his teacher about the same thing, the concept of an exponential function was the response he received.
The value of y at x = 0 is 80,
So, the initial cost of car is 80 thousand dollars,
half the original value will be 40 thousand dollars,
Value with respect to 40 is 2 on the x - axis on the graph.
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Complete Question -
Ben can buy 5 notebooks for $6.75 at Store A or 3 notebooks for $4,50 at Store B Which store offers the better value
The store that offers the better value based on the unit rate is Store A.
What is the unit rate?The unit rate is the ratio of one item to the whole item.
The unit rate represents the average of a data set.
It is computed by dividing the total value by the number of units.
The cost of 5 notebooks at Store A = $6.75
The unit rate of notebooks at Store A = $1.35 ($6.75/5)
The cost of 3 notebooks at Store B = $4.50
The unit rate of notebooks at Store B = $1.50 ($4.50/3)
Thus, using the unit rate as the basis of consideration, we can conclude that Store A offers Ben a better value than Store B.
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Flagpole The world's tallest unsupported flagpole is a 282-ft-tall steel pole in
Surrey, British Columbia. The shortest shadow cast
by the pole during the year
is 137 ft long. To the nearest degree, what is the angle of elevation of the sun
when the shortest shadow is cast?
Check the picture below.
[tex]tan(\theta )=\cfrac{\stackrel{opposite}{282}}{\underset{adjacent}{137}}\implies \theta =tan^{-1}\left( \cfrac{282}{137} \right)\implies \theta \approx 64^o[/tex]
Make sure your calculator is in Degree mode.
In the data set below, what is the interquartile range?
99 89 75 57 57 46
Answer: IQR=32
Step-by-step explanation:IQR=Q3-Q1
which variable is it?
the first one or second one?
please help
Answer:
1
Step-by-step explanation:
The dependent changes because of the independent. So basically it depends on the independent variable
Answer:
The first one
Step-by-step explanation:
s is the independent variable and f is the dependent variable.
the number of host families depends on the number of students.
What is the molar mass of ammonia gas nh3 round to four significant figures?.
One nitrogen atom and three hydrogen atoms combine to form the chemical compound known as ammonia, which has the formula NH3. Ammonia's molar mass is 17.031 g per mole or NH3.
Ammonia's molar mass is 17.031 g per mole or NH3. Ammonia's chemical characteristics include a high degree of stability, the ability to burn in air, and the ability to combine with a platinum-rhodium catalyst at a temperature of about 800 °C to produce nitric oxide.The molar masses of all the individual atoms in NH3 must now be added in order to determine the molar mass of NH3. As you can see, NH3 is composed of 1 Nitrogen and 3 Hydrogen atoms. Consequently, the molecular weight of NH3 is equal to the molecular weight of one nitrogen (N) atom plus the molecular weight of one oxygen (O) atom.To learn more about molar mass here
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What is the formula of quadratic function at vertex form?.
The formula of quadratic function at vertex form is f(x) = a(x – h)² + k
The term vertex in math is referred as a point where two or more curved lines or edges meet.
Here as a consequence of this definition we know that the point where two lines meet to form an angle and the corners of polygons and polyhedral are vertices.
Here we need to identify the formula of quadratic function at vertex form
As we all know that If a parabola opens upward, then it has a lowest point.
Where as If a parabola opens downward, then it has a highest point.
Here this lowest or highest point is the vertex of the parabola.
Here we have take the parent function f(x) = x² has its vertex at the origin.
And now you can identify the vertex of other quadratic functions by analyzing the function in vertex form.
So, the vertex form of a quadratic function is written as
=> f(x) = a(x – h)² + k
Here a, h, and k are constants.
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Solve the system of equations below. Enter the value of the y value from your solution (in the case of a fraction or decimal solution, round your answer to the nearest tenth).
According to your solution of the given system of equations, the value of y is 7.
What are Systems of equations?Simultaneous equations, a system of equations Two or more equations in algebra must be solved jointly (i.e., the solution must satisfy all the equations in the system). The number of equations must match the number of unknowns for a system to have a singular solution.
There are four methods for solving systems of equations: graphing, substitution, elimination, and matrices.
Given a system of equation y = 2x + 11 and 3x + 2y = 8
From equation 1 we will substitute the value of y in the form of x in equation 2
=> 3x + 2(2x + 11) = 8
=> 3x + 4x + 22 = 8
=> 7x = 8 - 22
=> 7x = -14
=> x = -2
Substitute this value in equation 1
=> y = 2* -2 +11
=> y = -4 + 11
=> y = 7
therefore, the value of the y is 7 from your solution of the system of equations given.
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If a triangle ABC is at: A = ( 1, 5 ) B = ( 6, 9 ) C = ( - 2, - 3 ) and if it is translated right 4 and down 7, find the new point A '.
a. ( 3, 4 )
b. ( -5, 2 )
c. ( 6,- 7)
d. ( 5,- 2)
Answer:
answer is (d) (5, -2)
Step-by-step explanation:
When a triangle is translated, each point is moved the same distance in the same direction. To translate a point right, we add the amount of units to the x-coordinate, and to translate it down, we subtract the amount of units from the y-coordinate.
So for point A, the original coordinates are (1,5) and it is translated right 4 and down 7. The new coordinates of point A' will be (1+4, 5-7) = (5,-2)
Savannah uses 3.5 ounces of window cleaner on each window, She cleans more than 18 windows. Write an inequality that can be used to determine how much window cleaner Savannah uses.
The required inequality is 3.5x > 63 oz, where x represents windows Savannah cleans.
What is inequality?Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.
Let x be the number of windows Savannah cleans.
The amount of window cleaner Savannah uses can be represented by the equation:
3.5x = oz
To represent the inequality that Savannah uses more than 18 windows, we can write:
x > 18
This inequality states that the number of windows Savannah cleans (x) is greater than 18.
Combining both the equation and the inequality we can write
3.5x > 63 oz
It tells us that the amount of window cleaner Savannah uses (3.5x) is greater than 63 oz when she cleans more than 18 windows.
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Each square in the grid below has area 1. Find the area of the irregularly-shaped hexagon below.
The area of hexagon is 20 square units.
What is Polygon?polygon, in geometry, any closed curve consisting of a set of line segments connected such that no two segments cross
Hexagon is a six-sided polygon or 6-gon creating the outline of a cube.
Each square in the grid below has area 1 unit.
The total number of grids are 8×8=64 grids.
1 grid of area 1 unit.
As 20 grids are used to form the hexagon.
So the area of hexagon is 20 square units.
Hence, the area of hexagon is 20 square units.
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Answer: 20
Step-by-step explanation:
A 3.5 inch-by-5 inch image is being enlarged by
a scale factor of x. Express the area of the
enlarged image in terms of x.
side of image = 3.5 inch and 5 Inch
Area = 3.5 × 5 = 17.5 inch²
Now length is Enlarge by x
new length and Breadth are (3.5+x) and (5+x)
Area of new Image =(x+3.5)(x+5)
Area of new Image = x² + 5x + 3.5x + 17.5
Area of new Image = x² + 8.5x + 17.5
i hope it's helpful
A triangle with a perimeter of 24 meters was created from a triangle with a perimeter of 3 meters using a scale factor. What is the scale factor?
8:1
28:1
32:1
72:1
The scale factor for the triangle is 8 : 1.
The first option is the correct option.
What is a scale factor?The ratio of the scale of an original thing to a new object that is a representation of it but of a different size is known as a scale factor (bigger or smaller).
Given:
A triangle with a perimeter of 24 meters was created from a triangle,
with a perimeter of 3 meters using a scale factor.
Then the scale factor,
= Actual triangle / scale triangle
= 24 / 3
= 8/1
= 8: 1
Therefore, 8: 1 is the scale factor.
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Answer:
8:1
Step-by-step explanation:
help me please
√18x ^ 5 * y
Hey there!
Answer:
[tex]Given[/tex] → [tex]\sqrt{18x^5*y}[/tex]
[tex]Solution[/tex] → [tex]3x^2\sqrt{2x*y}[/tex]
Hope this helps! If you mark Brainliest, TYSM! :D
11 minutes left. Last question. Please Help. What is the turning point of the function? Be sure to type your answer with NO SPACES and include ( ) around your ordered pair.
The turning point of the function in this problem is given as follows:
(-5,2).
How to obtain the turning point of the function?The function for this problem is defined as follows:
[tex]f(x) = 2\sqrt[3]{x + 5} + 1[/tex]
The parent function is the cube root function, which has a turning point at (0,0).
The transformations are given as follows:
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What is calculus class 11?.
Calculus is a branch of mathematics that deals with the study of rates of change and accumulation of quantities.
It has two main branches: differential calculus and integral calculus.
Differential calculus studies the rate of change of a function, also known as its derivative. It deals with concepts such as limits, derivatives and their properties and applications, such as optimization problems.
Integral calculus, on the other hand, deals with the accumulation of quantities, also known as integrals. It studies the concept of definite and indefinite integrals and their properties and applications, such as finding areas and volumes, solving differential equations and computing path length.
Calculus has a wide range of applications in various fields, such as physics, engineering, economics, and many more. It's also a fundamental tool for most mathematical modeling and scientific research.
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How do you construct a triangle XYZ?.
A triangle is a 3 sided Polygon whose internal angle sum up to 180 degrees. It can be constructed by knowing those angles.
To construct a perfect triangle you can follow the following procedure have a brief idea on the angles of the triangle and if the angles are not available get to know about the length of each side of the triangle. If you know the each and every angle of the triangle you can proceed to the construction of triangle. Initially draw a baseline with the given dimension let us say this line is XY. Now from either left or right side of xy with the given angle draw a slanting line even if the length of the line is not known. From this from the other side draw another slanting line from the given angle and extend it up to the point where it touches the previous line. Now you have the triangle created for you. You can name the new point with the letter Z.
Now you have the triangle XYZ constructed.
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The middle school dance team had 3 separate car washes on Saturday to raise money for new uniforms. The Main Street location raised $50 more than the Back Street location. The Washington Street location raised $50 more than half the amount raised at the Back Street location. How much did the dance team raise at each location if they raised a total of $600?
HELP PLEASE
The amount of money that each team raised are;
Amount raised by Back Street location = $200
Amount raised by Main Street location = $250
Amount raised by Washington Street = $150
How to Solve Algebra Word Problems?We are told that the main street location raised $50 more than the Back Street location. Thus;
m.s = b.s + 50 ------(eq 1)
The Washington Street location raised $50 more than half the amount raised at the Back Street location. Thus;
w.s = ¹/₂b.s + 50 -------(eq 2)
Total raised = $600. Thus;
m.s + b.s + ws = 600 -------(eq 3)
-----------------------------
Plug in b.s + 50 for m.s and ¹/₂b.s + 50 for w.s in eq 3 to get;
(b.s + 50) + (¹/₂b.s + 50) + b.s = 600
Solve for b.s;
b.s + ¹/₂b.s + b.s + 50 + 50 = 600
(5/2)b.s + 100 = 600
(5/2)b.s = 500
b.s = $200 (amount raised by Back Street location)
m.s = b.s + 50
= 200 + 50
= $250 (amount raised by Main Street location)
w.s = (1/2)b.s + 50
w.s = 100 + 50
w.s = $150 (amount raised by Washington Street)
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