Therefore , the solution of the given problem of solution of trigonometry d = 33.977 m is the distance from the balloon's base to its apex..
Explain trigonometry.Trigonometry is a discipline of mathematics that examines relationships between triangles' degrees and sides. Trigonometry is used frequently in geometry because every straight-sided form may be broken down into a group of triangles. Trigonometry and other areas of mathematics, particularly calculus, real or complex, infinite series, logarithms, and infinite series, have a staggering amount of interrelationships.
Here,
Angle of elevation to the balloon's peak: = 28°
When the balloon is erect, a right triangle is formed by the horizontal distance to the balloon, l, the height of the balloon, h, and the distance to the top of the balloon, d.
Aside from the hypotenuse
l = The leg next to the provided reference angle
,h = The leg perpendicular to the specified angle,
Trigonometric ratios give us;
Cosx is equal to the product of the hypotenuse and adjacent lengths.
where we obtain;
Cos x equals l/d
=>Cos 28 = 30 m /d
=> d = 30m/Cos 28 ≈ 33.977
Therefore , the solution of the given problem of solution of trigonometry d = 33.977 m is the distance from the balloon's base to its apex.
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800 miles in 5 hours miles per hour
Which expression is equal to:
³ × ³ × ³ × ³ × ³ × ³ × ² × ³ ×
3
X
4
3
4
3 x 3 x 3 x 3 x 3 x 3 x 2 x 3 x 3 x 434 = 5,694,948
Ryan wants to use the distributive property to rewrite the addition problem shown so that the numbers left in the parentheses have no common factor except 1. Write an equivalent expression that has numbers in parentheses whose only common factor is 1. (54 + 72)
By finding a common factor, we can rewrite the expression as:
54 + 72 = 18*(3 + 4)
How to rewrite the expression?The distributive property says that we can write:
C*(A + B) = C*A + C*B
In this case, we want to rewrite the expression:
54 + 72
So the first thing we need to find is a common factor between these two numbers.
We can rewrite these as:
54 = 2*3*3*3
72 = 2*2*2*3*3
The maximum common factor between these two nmbers is:
2*3*3 = 18
Then we can rewrite:
54 = 18*3
72 = 18*4
Then we can rewrite the expression as:
54 + 72 = 18*3 + 18*4 = 18*(3 + 4)
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Q:write the equation of the line that is given slope an y-intercept?
Slope=Undefined y-intercept= -4
[tex]y = mx + b[/tex]
Answer:
y = mx - 4
Step-by-step explanation:
m is the slope, while -4 is the y intercept
y-5=-7/3(x-3) in standard form
Answer: The equation Y-5 = -7/3(X-3) in standard form is:
3Y - 15 = -7X + 21
Step-by-step explanation:
Need help :(( you can answer one or both of the questions
The graphs of lines a and b are shown on the coordinate
plane. Write the equation on the line provided for each line.
Then solve the system of equations using any method.
The equation of line a is.
The equation of line b is.
Solution
From the graph we got two equations of line -3x+ y -9 =0 and x+y-7 =0
and solution of these equations are x = -1/2 and y= 15/2
what is equation of line?An algebraic expression that represents a number of points which creates a line in the XY coordinate system or another coordinate plane.
What is the equation of lines shown in the graph?
we are given a graph containing two equations of line named a and b. The lines are plotted in XY coordinate system.
From the graph, we can detect two locations of point (5, 6) and (1, -6) for line a and detect two location of point (1, 6) and (6, 1) for line b.
As per the formula for equation of straight line, a line passes through two points can be written as y-y₁ = [(y₂-y₁) / (x₂-x₁)] × (x- x₁)
hence, line a can be written as (y- 6) = [(-6 -6) / (1-5)] × (x- 5)
y-6 = 3(x-5)
y-6 = 3x -15
y-3x -9 = 0
In the next, line b can be written as (y-6) = [(1-6) / (6-1)] × (x-1)
y-6 = -1(x-1)
y-6 = -x+1
x+ y -7 =0
now, we get two equations, -3x+ y -9 =0
x+ y - 7 =0
Solving these two equations by addition method, we get x= -1/2 and y = 15/2
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The table at the right shows data representing a polynomial function. Answer A, B, and C.
a) The degree of the polynomial is 5.
b) The second difference is -726 -126 -6 114 714
c) The difference when they are constant is 480.
What is a polynomial?
A polynomial is a mathematical equation that solely uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are sometimes known as indeterminates in mathematics.
y values: -999 -140 -7 0 1 116 945
1st difference 859 133 7 1 115 829
2nd difference -726 -126 -6 114 714
3rd difference 600 120 120 600
4th difference -480 0 480
5th difference 480 480
The degree of a polynomial is the number of difference where it is constant.
The degree of the polynomial function is 5.
The constant is the 5th difference which is 480.
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Input 8-2n
I’m getting confused
Thanks
Answer:
4,2,0
Step-by-step explanation:
the rule is subtract 2 so 0 and 8 , 1 and 6 , 2 and 4 , 3 and 2 , and then finally 4 and 0
3. Kyle has a notebook for each of his 13 classes. He puts 5 stickers on
each notebook. There are 10 stickers on each sheet. How many
sheets of stickers will Kyle need? Write an equation to solve. Use a
variable for the unknown.
The number of sheets of stickers that Kyle needs will be 7 sheets.
How to explain the equation?The equation simply has to do with the statement that illustrates the variables given. In this case, it is vital to note that two or more components are considered in order to be able to describe the scenario.
From the information, Kyle has a notebook for each of his 13 classes. He puts 5 stickers on
each notebook and there are 10 stickers on each sheet.
The number of sheets of stickers that Kyle needs will be:
= (13 × 5) / 10
= 65 / 10.
= 6.5
= 7 approximately
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An algebraic expression 2x² + 2xy is trinomial algebraic expression true or false
Answer:
False
Step-by-step explanation:
right!!
On Saturday morning, Wendy watched one and a half hours of her favorite shows on television. During the shows there were 27 commercials. What is the unit rate of commercials per hour? 9 hours per commercial 12 commercials per hour
14 commercials per hour 18 commercials per hour
The unit rate is 18 commercials per hour.
What is Division?A division is a process of splitting a specific amount into equal parts.
On Saturday morning, Wendy watched one and a half hours of her favorite shows on television.
During the shows there were 27 commercials.
We need to find the unit rate of commercials per hour.
To find this we have to divide 27 by number of hours
27/[tex]1\frac{1}{2}[/tex]
Convert [tex]1\frac{1}{2}[/tex] to improper fraction
27/(3/2)
When whole number is divided by fraction, the denominator is multiplied with whole number
27×2/3
54/3
18
Hence, the unit rate is 18 commercials per hour.
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Answer:18 commercials per hour
Step-by-step explanation:
(36)^-2 x (9)^-2 i need help
Answer: 1/104976
Step-by-step explanation:
You can get rid of negative exponents by flipping the number. So in this case, the expression would change to: 1/(36)^2 x (9)^2.
From there, simplify the expression. 36 squared is 1296. 9 squared is 81. Multiply those together to get 104,976.
1/104976 is your answer!
Shirt Prices
$50, $35, $48,
$31, $34
What is the median price of the five shirts?
Answer: 35 would be the median
Step-by-step explanation: Put the numbers in order and whichever one is the middle value is the median
Answer:
35
Step-by-step explanation:
The median is the middle price when listed from smallest to largest
31, 34, 35, 48, 50
The middle price is 35
The median is 35
A monomial with a degree of 3
The polynomial 4 · x³ is a monomial of degree 3.
What is a monomial?
In algebra there are two types of numbers: constants and variables. Constants are constant real numbers, while variables are real numbers that may represent more than a real number.
Polynomials are the result of combination of constants, variables and fundamental operators (addition, multiplication) and can be classified according to the number of terms:
Monomial - Polynomial with one term.
Binomial - Polynomial with two terms.
Trinomial - Polynomial with three terms.
Polynomial - Polynomial with four or more terms.
The grade of the polynomial is the maximum power that accompany a term in a polynomial in standard form. Then, we can bring an example of polynomial with a degree 3 below:
p(x) = 4 · x³
This is a monomial (polynomial with one term) with degree 3.
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What is the amount of < AGF?
Answer:
Angle AGF = 140
Step-by-step explanation:
180-40 = 140
mr doyle shares 1 roll of bulletin board paper equally with 8 teacher.The total length of the roll is 72 meters. How
50 POINTS Answer the following questions and draw a rough sketch of the function:
f(x)=-x^4+8x^3+8x^2-96x-144
What is the function’s general shape?
Does the function face up or down?
What is the function’s y-intercept?
If one of the factors is (−6), how would you show that on the graph?
The function's general shape is a downward-opening parabola.
The function faces down The function's y-intercept is -144x - 6 is a factorWhat is the function’s general shape?
From the question, we have the following parameters that can be used in our computation:
f(x)=-x^4+8x^3+8x^2-96x-144
Express properly
So, we have
f(x) = -x⁴ + 8x³ +8x² - 96x - 144
Next, we plot the graph (see attachment)
From the attached graph, we can see that the function opens down
This means that the general shape is a downward-opening parabola.
Does the function face up or down?The function faces down (as shown on the graph)
What is the function’s y-intercept?Here, we set x = 0
So, we have
f(0) = -(0)⁴ + 8(0)³ + 8(0)² - 96(0) - 144
Evaluate
f(0) = -144
So, the y-intercept is -144
How to show that one of the factors is (x - 6) on the graph?We start by setting the factor to 0
So, we have
x - 6 = 0
Solve for x
x = 6
From the graph;
When x = 6, y = 0
This means that x - 6 is a factor
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Which equation correctly solves the formula of r? 4πr^2h
The equation that correctly solves the formula of r is r = [tex]\sqrt{\frac{A}{4\pi } }[/tex]
How can the value of r be computed?The concept here is the concept of subject of the formula.
The variable being calculated is the formula's subject. On one side of the equals sign, it is identifiable as the letter on its own. For instance, the subject of the formula for the area of a rectangle is A = b h (area = base height).
The formula given was A=4πr^2h, then we can r the subject of the formula as
r^2 = A /4π
Then r = [tex]\sqrt{\frac{ A }{4\pi } }[/tex]
Therefore, option B iscorrect.
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missing options:
A) r = 4πA B) r = A 4π C) r = A 4π D) r = A 4π
You deposit $250 in an account that earns simple interest at an annual rate of 2.2%.
How much money is in the account after 4 years?
Therefore , the solution to the given problem of interest comes out to be $272.
What does interest mean?Simple interest is calculated by dividing initial capital by the interest rate, the duration, and other variables. The formula employed in marketing is simple return = principle + interest plus hours. This approach is the simplest way to calculate interest. Calculating interest as a percentage of the principle sum is the most common approach. For instance, he may only pay his portion of the interest if he borrowed $100 from a friend and agreed to pay it back with 5% interest. $100 (0.05) = $5. You should pay interest when you make loans, and you also must pay interest when you lend it. Usually, interest is calculated as a portion of a loan.
Here,
Given: $250 in principal
a 2.2% interest rate
and a 4-year term
To discover the basic interest:
Using this formula
Simple interest is equal to
=>P*R*T/100,
=> 250*2.2*4/100
=> 22.
Total amount after 4 years = 250 + 22 =272
Therefore , the solution to the given problem of simple interest comes out to be $272.
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How many days are in 800 hrs? Round your answer to the nearest tenth.
Answer:
800 hrs = 33.3 days
Step-by-step explanation:
1 day = 24 hours
800 hours = 800/24 = 33.33
Round to the nearest tenth:
33.3 days
Math I need help I’m very confused and I don’t understand I’m sorry it’s hard to see the photo I need answers.
For each of the following , find
the coordinates of a or b and : the x-intercept, the coordinates of C: the y-intercept the axis of symmetry,
the coordinates of the vertex,
The maximum or minimum value,
The graph's X-intercepts are ((9+55)/2,0) and ((955)/2,0), and its Y-intercept is (0,13).
what is coordinates ?When locating points or other geometrical objects precisely on a manifold, such as Euclidean space, a coordinate system is a technique that uses one or more integers or coordinates. Locating a point or item on a two-dimensional plane requires the use of coordinates, which are pairs of integers. Two numbers called the x and y coordinates are used to describe a point's location on a 2D plane. a collection of integers that represent specific locations. The figure often has two numbers. The first number denotes the front-to-back measurement, while the second number denotes the top-to-bottom measurement. For example, in (12.5), there are 12 units below and 5 above.
given
Axis of symmetry:
x=9 /2
Vertex (minimum point): (9/2,−55/2)
X-intercepts: ((9+√55)/2,0) and ((9−√55)/2,0)
Y-intercept: (0,13)
The graph's X-intercepts are ((9+55)/2,0) and ((955)/2,0), and its Y-intercept is (0,13).
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Tina paid for6 hours of canoeing and 1 life jacket rental with two twenty dollar bills. How much change did Tina get back
The amount of change that Tina got back would be = $10
How to calculate Tina's change after the bills payment?The amount of hours Tina spent in canoeing = 6 hours
The amount paid per hour for canoeing = $4
Therefore the total amount spent on canoeing = 6×4 = $24
The cost of the life jacket = $6
Therefore the total amount Tina spent = total amount spent on canoeing + cost of the life jacket.
That is; 24+6 = $30
The change Tina will receive from the two twenty dollars bills = (2×20) - 30
= 40-30 = $10
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Find the values at the 30th and 90th percentile for each data set
6283, 5700, 6381, 6274, 5700, 5896, 5972, 6075, 5993, 5581.
A raffle for 4 prizes is taking place. each person had to purchase a ticket to enter the raffle. If Lebron bought 4 tickets, Kobe 6 tickets, Jordan 7 and Diana Taurasi 7.
Round answer to the nearest thousandths (3 decimal places)
A). If the ticket gets put back into the raffle after each selections, what is the probability that Kobe wins the first prize and Dianna wins the second?
B) If each ticket can only be used once what is the probability that Kenton win first two prizes
C) What is the probability that Oberon wins first prize, Kobe the second, Jordan the 3rd and Diana the 4th, without replacement?
Raffles are chance-based contests in which participants compete to win exciting prizes.
How does a raffle work?To participate, all you need is a ticket with a number on it. Following the sale of all tickets, a drawing is conducted during which a random selection of tickets is made. If you chance to have the winning ticket, congratulations! a lot of engagement.
Raffles elicit a great deal of interest and support because people enjoy playing games of chance, especially when they have the possibility to win a significant prize.
high income. Your organisation has a strong possibility of making some big money from ticket sales if engagement is high!
low price. A virtual free raffle can be found online! A virtual raffle is the most cost-effective type of fundraising because you won't need to print actual tickets, reserve a location for the drawing, or buy refreshments.
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wht is the answer ???
The equation to represent the height of a glass slab is y=11x+2.
What is the equation of a line?The general equation of a straight line is y=mx+c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.
From the given table, we have (2, 24) and (4, 46).
Substitute (x₁, y₁)=(2, 24) and (x₂, y₂)=(4, 46) in m=(y₂-y₁)/(x₂-x₁)
= (46-24)/(4-2)
= 22/2
= 11
Substitute m=11 and (x, y)=(2, 24) in y=mx+c, we get
24=11(2)+c
c=2
Substitute m=11 and c=2 in y=mx+c, we get
y=11x+2
Therefore, the equation to represent the height of a glass slab is y=11x+2.
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Could you please help me
Refer to the diagram shown.
I need help with this please help me
Latisha plans to purchase her school pictures. The prints cost $108 plus any add-ons she wants to purchase. If she saves $18 per week, which solution represents how many weeks, w, it will take Latisha before she can purchase her school pictures?
The number of weeks w is given by the equation w = 6 weeks
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
Let the number of weeks be represented as w
The prints cost $108 plus any add-ons she wants to purchase
The amount saved by Latisha per week = $ 18
So , the total amount saved by Latisha for w weeks = 18w
Now , the equation will be
18w = 108 be equation (1)
On simplifying the equation , we get
Divide both sides of the equation by 18 , we get
w = 108 / 18
w = 6 weeks
Therefore , the value of w is 6
Hence , the number of weeks is 6 weeks
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(50 points) Need help asap (2nd and 3rd option are wrong)
The correct way to represent this end behavior is,
x ⇒ ∞, y ⇒ - ∞ and as x ⇒ - ∞, y ⇒ ∞.
What is the end behavior of a polynomial?A polynomial function's final behavior is how its graph behaves as x gets closer to positive or negative infinity.
The graph's final behavior is determined by a polynomial function's degree and leading coefficient.
By observing the graph when x is approaching negative infinity y is approaching positive infinity.
And, when x is approaching positive infinity y is approaching negative infinity.
This can be symbolically expressed as,
x ⇒ ∞, y ⇒ - ∞ and as x ⇒ - ∞, y ⇒ ∞.
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