A blimp is flying directly above a football field. The angle of depression to the base of one goal post is 40o. The angle of depression to the base of the other goal post is 72o. If the goal posts are 360 feet apart, how high is the blimp flying
Answer:
237.65 feet
Step-by-step explanation:
From the diagram attached,
Let the height of the blimp above the ground be h
From triangle A of the diagram,
tan18° = (360-y)/h
h = (360-y)/tan18°..................... Equation 1
Also
From triangle B in the diagram,
tan50° = y/h
h = y/tan50°.............................. Equation 2
Equation equation 1 and equation 2
(360-y)/tan18° = y/tan50°
tan50°(360-y) = tan18°(y)
1.19(360-y) = 0.325(y)
428.4-1.19y = 0.325y
428.4 = 0.325y+1.19y
1.515y = 428.4
y = 428.4/1.515
y = 282.8
Substituting the value of y into equation 2
h = 282.8/tan50°
h = 282.8/1.19
h = 237.65 feet.
The stemplot shows the snowfall, in inches, in US cities during December.
Use this graphic to answer the question.
Use the drop-down menus to complete the statements about the snowfall amounts shown in the stemplot.
This distribution of snowfall amounts is
. There appears to be one outlier in snowfall amount at
inches.
This distribution of snowfall amounts is skewed to the right
When are data skewed to the rightData is said to be skewed to the right or positively skewed, when the tail of the distribution extends more towards the right side of the data. This means that there are a few larger values or outliers that pull the mean or median towards the higher end of the scale, resulting in a longer tail on the right side of the distribution.
In a positively skewed distribution majority of the data is concentrated towards the lower values.
Considering the stemplot the majority of the data is in the lower values
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Answer:
to the second part
18.7 inches
23.160 divided by 10
Answer:
2.316 would be your answer.
Step-by-step explanation:
Simply move the decimal 1 place to the right, and remove the 0 after the 6.
can someone please help because if I don't get my work don then I'm gonna get in trouble :(
Joshua drove his car a distance of 417.7 miles, and it required 14.2 gallons of gasoline (petrol). How many liters of fuel will it take to go 100 kilometers?
Hint: Start with 100 km.
100km1×...continueconversion...=numberofLiters
Use the following facts:
417.7 miles = 14.2 gallons for this car
1 km = 0.6214 mi
1 gal = 3.8 L
Answer:
6L
Step-by-step explanation:
What is 20000000 in standard form
Answer:
twenty million
Step-by-step explanation:
there are 7 zeros so the "20" part would be one number then there would be a comma and the 3 zeros and then another comma then the other 3 zeros
A RESEARCH DEPARTMENT PRODUCED THE MARGINAL COST FUNCTION
C (X) =300- x/2 ,0 ≤ X ≤ 900
Where (c') x is in dollars and x is the independent variable C(0) =0.
Find the increase in cost C (x) if X increases from 300-310.
a.1475
b.1455
c.1555
d.2000
Answer: The correct answer would be D
Step-by-step explanation:
I’m just guessing ;)
Find the area of a triangle with a base of 19 yd and height of 14 yd.
What is the meaning of "\( \mathbb{N}=\bigcap \left \{X:X inductive \right \}\)"?
The meaning of \(\( \mathbb{N}=\bigcap \left \{X:X inductive \right \}\) is that the set of natural numbers is the intersection of all inductive sets.
What does the set show ?The set of natural numbers is inductive because it satisfies both of these conditions. The set is non-empty because it contains the number 1. And if x is a natural number, then x+1 is also a natural number.
In other words, a set is inductive if it satisfies the following two conditions:
The set is non-empty.If x is an element of the set, then x+1 is also an element of the set.The concept of an inductive set is important in mathematics because it allows us to define the set of natural numbers.
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What is the probability that it will land on tails twice and heads once?
Answer:
3/8
Explanation:
I just know :) (;
8.
Find the arc length of a central angle of 7pi/3 in a circle whose radius is
3inches
\(\textit{arc's length}\\\\ s = r\theta ~~ \begin{cases} r=radius\\ \theta =\stackrel{radians}{angle}\\[-0.5em] \hrulefill\\ \theta =\frac{7\pi }{3}\\ r=3 \end{cases}\implies s=(3)(\frac{7\pi }{3})\implies s=7\pi \implies s\approx 21.99~in\)
Kay loves to save coins. She has a piggy bank that she has been filling for a long time with only dimes and nickels. Recently, her piggy bank was filled to the brim so Kay counted her coins and she discovered that she had $10. She also noticed that she has 11 less dimes than nickels. How many coins were in Kay's bank?
The total number of coins that were in Kay's bank are 137 coins.
How to determine the number of coins?In order to determine the number of dimes and nickels, we would assign a variables to the unknown numbers and then translate the word problem into algebraic equation as follows:
Let d represent the number of dimes.Let n represent number of nickels.Since she has 11 less dimes than nickels, an equation which models this situation is given by;
n = d + 11 ....equation 1.
Note: 1 nickel is equal to 0.05 dollar and 1 dime is equal to 0.1 dollar.
Additionally, the coins are worth 10 dollars;
0.1d + 0.05n = 10 ....equation 2.
By solving both equations simultaneously, we have:
0.1d + 0.05(d + 11) = 10
0.1d + 0.05d + 0.55 = 10
0.15d = 9.45
d = 63 dimes.
For nickels, we have:
n = d + 11
n = 63 + 11
n = 74
Now, we can determine the total number of coins;
Total number of coins = n + d
Total number of coins = 74 + 63
Total number of coins = 137 coins.
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Find the surface area of the pyramid.
A drawing of a square pyramid. The length of the base is 4.5 meters. The height of each triangular face is 6 meters.
The surface area of the pyramid is 74.25 square meters.
What is surface area?Surface area is the total area that the surface of an object occupies. It is the sum of the areas of all the faces, sides, and curved surfaces of an object. Surface area is usually measured in square units, such as square meters, square feet, or square centimeters.
What is pyramid?A pyramid is a polyhedron with a polygonal base and triangular faces that meet at a common vertex (known as the apex). Pyramids are named according to the shape of their base.
In the given question,
The area of the base is simply the area of a square, which is:
Area of base = length x width = 4.5m x 4.5m = 20.25 square meters
To find the area of each triangular face, we first need to find the length of the slant height (the height of the triangle).
We can use the Pythagorean theorem to do this:
h²= (1/2 x base)² + height²
h² = (1/2 x 4.5)² + 6²
h² = 2.25 + 36
h² = 38.25
h = √38.25
h = 6.18 meters (rounded to two decimal places)
Now that we know the slant height, we can find the area of each triangular face:
Area of one triangular face = (1/2 x base x height) = (1/2 x 4.5 x 6) = 13.5 square meters
Since there are four triangular faces on a square pyramid, we need to multiply this by 4 to find the total area of the triangular faces:
Total area of triangular faces = 4 x 13.5 = 54 square meters
Finally, we can find the surface area of the pyramid by adding the area of the base and the area of the triangular faces:
Surface area = Area of base + Total area of triangular faces
Surface area = 20.25 + 54
Surface area = 74.25 square meters
Therefore, the surface area of the pyramid is 74.25 square meters.
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IF YOU DONT KNOW THE ANSWER DONT ANSWER I NEED AN A ON THIS IN ORDER TO PASS MATH SO PLS HELP IF YOU CAN IF NOT DONT
Answer these questions below
1) Which year had the greatest range
2) What was the range of that year
3) Which year had the greatest median amount
4) what was the median for that year
5) Which year had the greatest IQR
6) What was the IQR for that year
7) Which year shows a more symetrical distibrution
Answer:
1) 2019
2) 120-50=70
3) 2018
4) 100
5) 2018
6) 120-80=40
7) 2018
Step-by-step explanation:
1) 2019
2) 120-50=70
3) 2018
4) 100
5) 2018
6) 120-80=40
7) 2018
How to use Pascal’s triangle to find x^2 using the difference quotient formula
Using Pascal's triangle and the difference quotient formula, we expand (x + h)^2 and simplify the expression to (2hx + h^2) / h. As h approaches 0, the term h becomes negligible, and we are left with 2x, which represents the derivative of x^2.
To use Pascal's triangle to find x^2 using the difference quotient formula, we can follow these steps:
1. Write the second row of Pascal's triangle: 1, 1.
2. Use the coefficients in the row as the binomial coefficients for (x + h)^2. In this case, we have (1x + 1h)^2.
3. Expand (x + h)^2 using the binomial theorem: x^2 + 2hx + h^2.
4. Apply the difference quotient formula: f(x + h) - f(x) / h.
5. Substitute the expanded expression into the formula: [(x + h)^2 - x^2] / h.
6. Simplify the numerator: (x^2 + 2hx + h^2 - x^2) / h.
7. Cancel out the x^2 terms in the numerator: (2hx + h^2) / h.
8. Divide both terms in the numerator by h: 2x + h.
9. As h approaches 0, the term h becomes negligible, and we are left with the derivative of x^2, which is 2x.
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Gonna be posting more questions
Answer:
$0.10 more
Step-by-step explanation:
How many possible outcomes are there when a coin is flipped 10 times?
From the given data, when a coin is flipped once, there are two possible outcomes: heads or tails. Therefore, the total number of possible outcomes when a coin is flipped 10 times is:
2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 = 1024
Flipping a coin is often used as a randomization method in various situations, such as in games, decision-making, or statistical experiments. The coin can land either heads up or tails up, which are the two possible outcomes.
So, there are 1024 possible outcomes when a coin is flipped 10 times.
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Which expression is equivalent to 5y^3/(5y)^-2
Answer:
5^3 y^5
125 y^5
Step-by-step explanation:
5y^3/(5y)^-2
Distribute the exponent in the denominator
5y^3/(5 ^-2 y^-2)
A negative exponent in the denominator brings it to the numerator
5y^3 5 ^2 y^2
Combine like terms
5 * 5^2 * y^3 5^2
We know that a^b * a^c = a^(b+c)
5^(1+2) * y^( 3+2)
5^3 y^5
125 y^5
A test of significance uses evidence provided by sample data to assess whether a claim about a ___________ is supported or refuted.
Answer:
parameter
Step-by-step explanation:
Find formula for g(x) if it is known that g(x-3)=2x-6
9514 1404 393
Answer:
g(x) = 2x
Step-by-step explanation:
Replace x in the given function with x+3.
g((x+3) -3) = 2(x+3) -6
g(x) = 2x +6 -6
g(x) = 2x
The graphs below show the number of faulty products, y, produced by a company for the first eight months since production started. Both graphs show the same information.
To support her discussion, it would be best for Alex to use Graph A for her presentation. Alex should use this graph for her presentation because the number of faulty products appears to decrease less on this graph.
What is a steeper slope?In Mathematics and Geometry, a steeper slope simply means that the slope of a line is bigger than the slope of another line. This ultimately implies that, a graph with a steeper slope has a greater (faster) rate of change in comparison with another graph.
In order to determine an equation with a declining line, we would have to determine the slope of each line graphically and then taking note of the line with a negative rate of change (slope) because it indicates a decreasing function.
In this context, we can reasonably infer and logically deduce that Graph A is more suited for Alex's presentation because the number of faulty products appears to decrease less on it.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
I’m having this weird math issue, I’ve tried to find the right answer and even used a calculator but didn’t get it correct?
Answer:
-2
Step-by-step explanation:
You first get the sqrt for everything.
64-25•2
------------
3-10
Then multiply the 25 and 2 first because of PEMDAS.
So
64-50
---------
3-10
Then subtract from both top and bottom.
14/-7
Then divide.
-2
Hope this helps
Brainliest would be appreciated.
Answer:
6²• 11 ehh tell me if I'm wrong ^^
In the case of Regression Analysis, the dependent variable must be ________; in multiple discriminant analysis, the dependent variable is______ in nature.
a. Metric; nonmetric
b. Metric; nominal
c. Nominal; categorical
d. Categorical; nonmetric
b. Metric; nominal
In the case of regression analysis, the dependent variable must be metric; in multiple discriminant analysis, the dependent variable is nominal in nature. (Option B)
Regression analysis refers to a collection of statistical methods which are used for the estimation of relationships between a dependent variable and one or more independent variables. It can used to assess the strength of the relationship between variables and for modeling their future relationship. In regression analysis the dependent variable is metrically scaled (where distance between values can be calculated). Multiple discriminant analysis is a regression technique used in statistics to group objects into categories for analysis. In multiple discriminant analysis the dependent variable is nominally scaled (where characteristics can be distinguished).
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testing flint's water ap stats according to epa refulations, if more than 10% homes unsafe significance test for a population proportion
False. If more than 10% of his high-risk homes exceed this limit, the Water Framework will need to take action.
EPA's lead and copper rule specifies a maximum cutoff of 15 for each billion (ppb) of lead in drinking water. If 10% or more of high-risk household tap water tests exceed this activity level, the water framework is considered in violation of the standard and will do everything possible to reduce lead levels. is needed. This does not guarantee that your water supply will be considered "hazardous," but it does mean that it exceeds the most extreme limits for lead proposed by the EPA.
The EPA requires lead levels in waterframes to be kept below 15 ppb to limit potential health risks.
This 10% of leads is called "Activity Level". EPA suggests that water frames respond to lead levels below 15 ppb to limit potential health opportunities, but assumes levels above 15 ppb are not considered hazardous. increase
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The complete question is:
According to EPA regulations, if more than 10%of homes in a city have high lead content in their water(>15 parts per billion), the city’s water supply is unsafe?
Write 0.84 as a fraction. Do not try to simplify the answer
Explanation:
Since 0.84 is a decimal number, a direct fraction representation is by turning it to a whole number and divide it by a multiple of 10 (in this case 100).
In other words transform it to a percentage.
help please plase please ples ples ples
Answer:
7
Step-by-step explanation:
From the graph....you can see g(-2) = -3 ( see attached diagram below)
then f(-3) = 7 ( because -3 is less than -2. ... so it = 7)
\(f(g(-2))=7.\)
Step-by-step explanation:When asking for \(f(g(-2))\) they are basically asking you to evaluate the function \(g(x)\) for -2, find a y value, and plug in that value as x in \(f(x).\)
Let's do it step-by-step:
1. Find the value of g(-2).
G(x) is given as a graph, therefore, you will have to see what value of axis y marks the graphic when you make x=-2. Check the attached image. As you may notice, the value that function g(x) generates for x= -2 is y= -3. Hence, g(-2)= -3.
2. Substitute the value into f(x).
F(x) is a piecewise function, so we'll need to determine the group the value fits into and calculate with the expession that corresponds for that value. Our value is -3, this value is less than -2, therefore, the function we'll have to use is \(f(x)=7\).
3. Determine the value of f(-3).
Since f(x)= 7 for our value (-3), the result is 7.
4. Express your answer.
\(f(g(-2))=7.\)
PLEASE HELP ON QUESTION ASAP !
hi ! I really need help understanding paragraph and I've also added a question about paragraph by me down below . Would like explanation in simple words.
If answers correct I'll rate you five stars a thanks and maybe even brainliest
Paragraph I needed help understanding:
If two or more cells are connected together side by side, the voltage across them is sum of the voltage of each cell. This is because both cells are pushing same way.
My Question about paragraph:
If the sum lets say was 4.5v would every individual cell be worth 4.5 as it says in question ' voltage across them is the sum of voltage of each cell ' or are they each a different value? And how would we be able to find value?.
(q2) A civil engineer wants to find out the length of a rod which stretches for 1 meter and can be given by the function x=2y^((3)/(2)) Find the length of the rod.
The Length of the rod is 3/5 meters.
The civil engineer wants to find the length of a rod that stretches for 1 meter and can be given by the function x=2y^(3/2).
To find the length of the rod, we need to integrate the function x=2y^(3/2) with respect to y. Integrating both sides of the equation,
we have:'int dx = int 2y^(3/2) evaluating the left-hand side gives x = 2/5 y^(5/2) + C, where C is the constant of integration. To find the value of C,
we use the given information that the rod stretches for 1 meter. At y = 0, x = 0 since the rod has no length when it is not stretched. At y = 1, x = 1 since the rod stretches for 1 meter.
Therefore, we have:1 = 2/5 (1)^(5/2) + C1 = 2/5 + CC = 3/5 Substituting C = 3/5 back into the equation for x,
we have:x = 2/5 y^(5/2) + 3/5
The length of the rod is given by the value of x when y = 1. Substituting y = 1,
we have:x = 2/5 (1)^(5/2) + 3/5 = 3/5
The length of the rod is 3/5 meters.
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Instructions: Use the ratio of a 30-60-90 triangle to solve for the variables. Leave your answers as radicals in simplest form.
If you are using a screen-reader, please consult your instructor for assistance.
x=
y=
Using the ratio of the sides, we have:$x\sqrt{3} = 12\sqrt{3}$ (opposite the $60^{\circ}$ angle is 12$\sqrt{3}$)$x = 2\sqrt{3}\cdot6$ (the hypotenuse is $2x = 12\sqrt{3}$)Simplifying, we have:$x = 12\sqrt{3}$. Therefore $x=y=12\sqrt{3}$, which is our answer
In a 30-60-90 triangle, the sides have the ratio of $1: \sqrt{3}: 2$. Let's apply this to solve for the variables in the given problem.
Instructions: Use the ratio of a 30-60-90 triangle to solve for the variables. Leave your answers as radicals in simplest form. x=y=Let's first find the ratio of the sides in a 30-60-90 triangle.
Since the hypotenuse is always twice as long as the shorter leg, we can let $x$ be the shorter leg and $2x$ be the hypotenuse.
Thus, we have: Shorter leg: $x$Opposite the $60^{\circ}$ angle: $x\sqrt{3}$ Hypotenuse: $2x$
Now, let's apply this ratio to solve for the variables in the given problem. We know that $x = y$ since they are equal in the problem.
Using the ratio of the sides, we have:$x\sqrt{3} = 12\sqrt{3}$ (opposite the $60^{\circ}$ angle is 12$\sqrt{3}$)$x = 2\sqrt{3}\cdot6$ (the hypotenuse is $2x = 12\sqrt{3}$)Simplifying, we have:$x = 12\sqrt{3}$
Therefore, $x=y=12\sqrt{3}$, which is our answer.
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10 points and brainliest.
two people need to answer or i won't be able to give brainliest
Fifteen students completed 80 puzzles. How many puzzles would 1 student complete? Round the answer to the nearest tenth.
1.6
0.2
5.3
15.0
5.3
80/15=5.3
which means each person completed 5.3 puzzles