Please help! "Create a real-life scenario involving an angle of elevation or depression. Draw an appropriate diagram and explain how to solve your example."
Answers
Answer:
Height of the kite = 86.60 meter (Approx)
Step-by-step explanation:
The angle of elevation to see a kite from a stone lying to the ground is 60 degrees. If a thread is tied with a kite and a stone, then that thread is 100 meters long, find the height of the kite.
Given:
Length of thread = 100 meter
Angle of elevation = 60°
Find:
Height of the kite.
Computation:
Using trigonometry application:
Height of the kite / Length of thread = Sin 60°
Height of the kite / 100 = √3 / 2
Height of the kite = [√3 / 2]100
Height of the kite = 50√3
Height of the kite = 86.60 meter (Approx)
Related Questions
Solve for x using the Quadratic Formula: x2 + 2x + 1 = 0 x equals negative b plus or minus the square root of b squared minus 4 times a times c, all over 2 times a
x = 2
x = 1
x = 0
x = −1
Answers
Answer:
x = - 1Step-by-step explanation:
x² + 2x + 1 = 0
Using the quadratic formula
[tex]x = \frac{ - b± \sqrt{ {b}^{2} - 4ac } }{2a} [/tex]
a = 1 , b = 2 , c = 1
We have
[tex]x = \frac{ - 2± \sqrt{ {2}^{2} - 4(1)(1)} }{2(1)} \\ \\ x = \frac{ - 2 ± \sqrt{4 - 4} }{2} \\ \\ x = \frac{ - 2 ± \sqrt{0} }{2} \\ \\ x = - \frac{2}{2} \\ \\ x = - 1[/tex]
Hope this helps you
You can factor this because it is already a perfect square. you can check this by seeing if half of b squared is equal to c.
In this problem
a=1
b=2
c=1
Half of b is 1
1 squared is 1
After that you just break it down
There’s 2 x so,
(x+_)(x+_)
The blank is just half of b which we already found to be 1
So,
(x+1)(x+1)
Also can be written as (x+1)^2
Set both parenthesis equal to 0
(In this case you only have to do it once since it’s the same value)
x+1=0
x=-1
Another way to factor is to see if there are two numbers that result in c when multiplied and result in b when added.
In this case it’s 1 and 1
So you just factor out the x and the ones
(x+1)(x+1)
Which will give you the same answer.
(If you get used to factoring, it’s quicker to use)
X=-1
What the correct answer now
Answers
Answer:
14.3
Step-by-step explanation:
first find length of VW
10/sin 119 = VW/ sin 26
VW = 5
angle V = 180 - 119 - 26 = 35
then area = 1/2 ab sin C
1/2 (10)(5) sin 35 = 14.33941.....
What happens to the diagonal of a rectangle when the rectangle is reflected across a line of symmetry? What does this suggest about the diagonals of rectangles?
Answers
When you reflect a diagonal over a line of symmetry, the diagonal will land perfectly on the other diagonal (and vice versa). This suggests that one diagonal is a mirror copy of the other.
Another way to put it: The vertex points of the rectangle will swap when we reflect over a line of symmetry. A diagonal is simply the opposite vertex points joined together. So this is why the diagonals swap places (because the vertices line up perfectly when you apply the reflection).
A shape with a line of symmetry will land on itself, when reflected across the line of symmetry. The true statements are:
The diagonals of the rectangle will land perfectly on each otherThe diagonals of a rectangle are lines of symmetryFrom the question, we understand that; the rectangle is reflected across the line of symmetry
When this is done, the half of the rectangle will land directly on the other half.
This means that, the diagonal of the rectangle will land perfectly on the other diagonal
The statement above suggests that, the diagonal of a rectangle is also a line of symmetry of the rectangle.
Read more about lines of symmetry and diagonals at:
https://brainly.com/question/1045307
A population of values has a normal distribution with μ = 47.2 and σ = 22.8 . You intend to draw a random sample of size n = 176 . Please show your answers as numbers accurate to 4 decimal places. Find the probability that a single randomly selected value is greater than 45.1.
Answers
Answer:
22.8
Step-by-step explanation:
The hourly revenue of a certain clothes manufacturer is represented by the function f(x) = -0.082x2 + 7.3x + 3.6 for the domain [0, 89]. According to this model, what is the maximum revenue this clothes manufacturer can have in an hour?
Answers
Answer:
166.07
Step-by-step explanation:
since the domain is [0,89] means the maximum amount is when x=89
vertex is where it reached the maximum amount:(44.512,166.07)
A jar contains only pennies, nickels, and dimes. The number of dimes is one more than the number of nickles, and the number of pennies is six more than the number of nickels. How many of each denomination are in the jar, if the total value is $4.80?
Answers
Answer:
Nickels=29
Dime=30
Pennies=35
Step-by-step explanation:
Nickels=$0.05
Dime=$0.10
Pennies=$0.01
Total value=$4.80
Let quantity of
Pennies=p
Nickels=n
Dimes=d
d=n+1
p=n+6
0.01 *[n + 6] + 0.05n + 0.10*[n+1] =4.80
Open parenthesis
0.01n+0.06+0.05n+0.10n+0.10=4.80
0.16n+0.16=4.80
0.16n=4.80-016
0.16n=4.64
n=29
Pennies=n+6
=29+6
=35
Dime=n+1
=29+1
=30
Find the ordered pairs.
{Y=(x+1)^2-5
{Y=2x
PLEASE HELP!!!
Answers
Answer:
[tex]\large \boxed{\sf \bf \ \ \text{The solutions are }(2,4) \text{ and } (-2,-4) \ \ }[/tex]
Step-by-step explanation:
Hello, this is the same kind of question that you have already posted( brainly.com/question/17141820).
I would suggest that you check my previous answer and try to apply the same logic here. When you try it if you have any question please let me know. It will be the more efficient way for you to learn how to solve it by yourself.
As I have already provided details for the previous question I will be more succinct here.
Again we can write y = y and then we have to solve the following.
[tex](x+1)^2-5=2x\\\\x^2+2x+1^2-5-2x=0\\\\x^2-4=x^2-2^2=(x-2)(x+2)=0\\\\x=2 \ \ or \ \ x=-2[/tex]
The solutions are (2,4) and (-2,-4)
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
The owner of a health food store is developing a new product that consists of peanuts and raisins. Raisins cost \$2.50$2.50dollar sign, 2, point, 50 per pound and peanuts cost \$3.50$3.50dollar sign, 3, point, 50 per pound. The owner wants to create 202020 pounds of the product that cost \$3.03$3.03dollar sign, 3, point, 03 per pound. Which of the following systems of equations can be used to determine the number of pounds of peanuts, ppp, and the number of pounds of raisins, rrr, that should be combined?
Answers
Answer:
9.4 pound of raisin and 10.6 pound of peanut is required to make 20 pound of product
Step-by-step explanation:
The cost of raisins is $2.5 per pound and the cost of peanut per pound is $3.50.
Let r represent the number of raisin pound and p represent the number of peanut pound. Since 20 pounds of a new product that consists of peanuts and raisins need to be produced, it can be represented by the equation:
p + r = 20 (1)
The new product would cost $3.03, therefore:
3.5p + 2.5r = 3.03(20)
3.5p + 2.5r = 60.6 (2)
We have to solve equation (1) and (2) simultaneously. First multiply (1) by 2.5 to get 2.5p + 2.5r = 50. Subtract 2.5p + 2.5r = 50 from equation (2):
p = 10.6 pound
Put p = 10.6 in equation (1)
10.6 + r = 20
r = 20 - 10.6 = 9.4
r = 9.4 pound
9.4 pound of raisin and 10.6 pound of peanut is required to make 20 pound of product
Answer:
p + r = 20
[tex]\frac{3.50p+2.50r}{20}[/tex] = 3.03
Step-by-step explanation:
The total cost of the product when the peanuts and raisins are combined is:
3.50p + 2.50r
To obtain the per pound cost, this expression needs to be divided by the number of total pounds, 20.
[tex]\frac{3.50p+2.50r}{20} =3.03[/tex]
**KA's explanation**
Solve for x 65 10 55 8
Answers
Answer:
Hey there!
60=0.5(55+5x+15)
120=5x+70
50=5x
x=10
Hope this helps :)
Answer:
Answer is 8
Step-by-step explanation:
Help me with this I’m confused
Answers
ok its 11 sqrt 6
because if sqrt 6 is x, and 5x +6x=11x
so its 11 sqrt 6
There are 30 children in a nursery at least one adult needs to be with eight children in the nursery work out the least number of adults needed in the nursery
Answers
Answer:
4 adults
Step-by-step explanation:
There will be 3 people handling eight children each and one person handling 6 children in a total of 30 children
Plz help urgently i dont know how to do it
Answers
Answer:
11
Step-by-step explanation:
1650/15/10 = 11
SOMEONE PLEAE HELP ME! Person who gets it correct will gain the BRAINLIEST!
Answers
Answer:
Third option is the right choice.
Step-by-step explanation:
[tex]y=a(b)^x[/tex] where "b", is the common ratio.
The common ratio for third table is constant for all the terms.
Best Regards!
Two sides of a square are divided into fourths and another side of the square is trisected, as shown. A triangle is formed by connecting three of these points, as shown. What is the ratio of the area of the shaded triangle to the area of the square? Express your answer as a fraction.
Answers
==========================================================
Explanation:
Let's say this is a 1 by 1 square. The area is 1*1 = 1 square unit. Whatever the area of the triangle is, we divide it over 1 and it will yield the same value as the area of the triangle. In other words, the area of the triangle will be the answer.
Along the top we have 3 ticks to indicate the top segment has been cut into 3+1 = 4 equal parts. The horizontal distance from the the vertical side of the triangle to the peak of the triangle is 3/4 units. This is because we travel 3 ticks out of 4 total. So this is the height when we consider the vertical segment of the triangle to be the base.
The base is 1 unit as it spans the original square's side length
base = 1
height = 3/4
area of triangle = (1/2)*(base*height)
area of triangle = (1/2)*(1*3/4)
area of triangle = 3/8
ratio of triangle area to square area = (triangle area)/(square area)
ratio of triangle area to square area = (3/8)/1
ratio of triangle area to square area = 3/8Answer:
3/8
Step-by-step explanation:
let side of square=x
Area of a square =x^2
height of a triangle= 3x/4 ( 4/4=1/4) since height is only 3x/4 from the square)
( base =x same side as a square)
Area of a triangle=1/2 bh=1/2(x*3x/4)= 3x^2/8
the ratio of shaded triangle to the area= (3x^2/8)/x^2=3x^2/8x^2=3/8
Which set of events is an example of dependent events?
A. Rolling an odd number, and then rolling an even number.
B. You choose a number from 1 to 50 from a hat, replace it, and then draw a second number.
C. You choose a marble from a bag, don't replace it, and then choose another marble.
D. You roll a 4, and then spin yellow on a spinner.
Answers
C.
Because the marble is not replaced and that affects the next event where another marble is chosen.
Dependent events:
It is the event where one event outcome is dependent on the other event outcome.
Independent events:
It is the event where one event outcome is not dependent on the other event outcome.
You choose a marble from a bag, don't replace it, and then choose another marble.
This is a dependent event.
Since we are not replacing the first marble outcome that is chosen, the next marble outcome is dependent on the first outcome.
Option C is the correct answer.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
We have,
Dependent events:
It is the event where one event outcome is dependent on the other event outcome.
Independent events:
It is the event where one event outcome is not dependent on the other event outcome.
Now,
A. Rolling an odd number, and then rolling an even number.
This is an independent event.
B. You choose a number from 1 to 50 from a hat, replace it, and then draw a second number.
This is an independent event.
C. You choose a marble from a bag, don't replace it, and then choose another marble.
This is a dependent event.
Since we are not replacing the first marble outcome that is chosen, the next marble outcome is dependent on the first outcome.
D. You roll a 4 and then spin yellow on a spinner.
This is an independent event.
Thus,
You choose a marble from a bag, don't replace it, and then choose another marble.
This is a dependent event.
Since we are not replacing the first marble outcome that is chosen, the next marble outcome is dependent on the first outcome.
Option C is the correct answer.
Learn more about probability here:
https://brainly.com/question/14099682
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Plz help I don't know what the answer is
Answers
Answer:
1) Is 180
2) Is 5
Step-by-step explanation:
Use the cubic model y = 10x3 − 12x to find the value of y when x = 9.
Answers
Answer:
7182
Step-by-step explanation:
All you shoud do is to replace x by 9
● y = 10 * 9^3 -12*9
● y = 7182
Consider the two functions given below. f(x)= -3x+5 g(x)= f(x)+9 What is the y-intercept of g? A. (0,9) B. (0,4) C. (0,14) D. (0,-5)
Answers
Answer:
C. (0, 14)
Step-by-step explanation:
g(x) = f(x) + 9
g(x) = -3x + 5 + 9
g(x) = -3x + 14
y = mx + b
b = 14
The value of y - intercept of the function are,
⇒ (0, 14)
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
the two functions given below.
⇒ f(x) = -3x+5
And, g(x) = f(x)+9
Hence, We get;
g(x) = f(x) + 9
g(x) = -3x + 5 + 9
g(x) = -3x + 14
So, The value of y - intercept of the function are,
⇒ y = 14
⇒ (0, 14)
Learn more about the function visit:
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do side lengths 8,7 and 15 create a triangle ?
Answers
Answer:
Yes
Step-by-step explanation:
To make a triangle the 2 smaller sides must join together to become greater than or equal to the biggest side.
8+7=15
Therefore,
side lengths 8, 7, and 15 do create a triangle.
Hope this helps
Answer:
No, this can cannot create a triangle because to create a triangle you need two sides greater than one of the side and since 8+7=15 and 15 cannot be equal to 15 and it had to be more than 15 or so.
Possible ways to create triangle
a+b>c
a+c>b
b+c>a
Step-by-step explanation:
Write an algebraic expression yo find the number of seconds in n minutes
Answers
Answer:
60n seconds
Step-by-step explanation:
In 1 min, there are 60 seconds
So,
1 min = 60 secs
For n minutes, it becomes:
=> 60n seconds
On your own sheet of paper, make a stem-and-leaf plot of the following set of data and then find the range of the data.
Answers
Answer:
Step-by-step explanation:
The given set of data is 83, 71, 62, 86, 90, 95, 61, 60, 87, 72, 95, 74, 82, 54, 99, 62, 78, 76, 84, 92.
Now the stem - leaf plot will be,
5 4
6 0 1 2 2
7 1 2 4 6 8
8 2 3 4 6 7
9 0 2 5 5 9
Since range of the data = Highest term of the data - Lowest term of the data
= 99 - 54
= 45
Therefore, range of the data set is 45.
The range of the data is 45.
The calculation is as follows:As we know that
Since range of the data = Highest term of the data - Lowest term of the data
= 99 - 54
= 45
Learn more: https://brainly.com/question/10046743?referrer=searchResults
Solve for x. (x+2)/3+(2x-4)/4=3
Answers
Answer:
x=4
Step-by-step explanation:
First you need to factor the equation. You can do this by multiplying the numbers by eachother so they have a denominatior of 12.
You would come out to have this...
((x+2)*4)/12 + ((2x-4)*3)/4=3
At this point you can combine the numerators over the common denominator.
((x+2)*4+(2x-4)*3)/12=3
You can now rewrite the equation into factored form.
5x-2/6=3
Multiply both sides of the equation by 6.
5x-2=18
move the terms not containing x to the right
5x=20
and divide by 5
x=4
Simplify $\dfrac{1}{\sqrt2+1}+\dfrac{1}{\sqrt2-1}.$[tex]Simplify $\dfrac{1}{\sqrt2+1}+\dfrac{1}{\sqrt2-1}.$[/tex]
Answers
Answer:
Step-by-step explanation:
common denominator
[tex](\sqrt(2)+1)(\sqrt(2)-1) = (\sqrt{2})^2-1^{2}=2-1 = 1[/tex]
Add with common denominator
[tex]\dfrac{1}{\sqrt2+1}+\dfrac{1}{\sqrt2-1}.[/tex]
[tex]= \frac{{\sqrt2-1}}{1} + \frac{\sqrt2+1}{1}[/tex]
[tex]=2* (\sqrt2)[/tex]
A car is new at the beginning of a calendar year. The time, in years, before the car experiences its first failure is exponentially distributed with mean 2.Calculate the probability that the car experiences
Answers
Complete question is;
A car is new at the beginning of a calendar year. The time, in years, before the car experiences its first failure is exponentially distributed with mean 2. Calculate the probability that the car experiences its first failure in the last quarter of some calendar year.
Answer:
Probability = 0.2052
Step-by-step explanation:
I've attached the explanation to this answer.
An airline company advertises that 100% of their flights are on time after checking 5 flights from yesterday and finding that these 5 were on time a) What is population of interest? b) What is the sample? c) Was this a representative sample? Explain. d) How should the company determine the percentage of their flights that are on time?
Answers
a) The population is all of the flights belonging to the particular airline. It's not all flights in general because the airline does not have control over a rival company's flight schedule.
------------------
b) The sample is the 5 airlines the company selected. Ideally the sample should represent the population as much as possible. The larger the sample, the more representative the sample is.
------------------
c) No, the sample is likely not representative because one day of flight does not represent the entire lifetime of all flights done so far for that company. This particular day could have been a very good day with good weather, which may explain why the 5 flights were all on time.
------------------
d) It would be better for the company to select the days at random and sample all of the flights for those particular days chosen. This is a cluster sample. Each cluster is a day. Also, I think more flights should be sampled. Five flights does not seem like enough.
2.) Calculate x, to the nearest tenth of a meter
Answers
Answer:
63.4°
Step-by-step explanation:
The following data were obtained from the question:
Opposite = 6 cm
Adjacent = 3 cm
Angle x =?
The value of angle x can be obtained as follow:
Tan x = Opposite/Adjacent
Tan x = 6/3
Tan x = 2
Take the inverse of Tan.
x = Tan¯¹ 2
x = 63.4°
Therefore, the value of angle x is 63.4°
Answer:
63.4°
Step-by-step explanation:
please solve the volume of the triangular prism
Answers
Answer:
V = 225 cm²
Step-by-step explanation:
The volume of a prism is the product of the base's area and the height
the base of this prism is triangular
the area of a triangle is given by the formula :
A = [tex]\frac{b*h}{2}[/tex]b is the base(6cm) and h the height (5cm)
A = [tex]\frac{5*6}{2}[/tex] A = 15 cm²So the volume is
V = 15*A V = 15*15 V = 225 cm²Answer:
225 cm³
Step-by-step explanation:
Area of cross-section × length = Volume of a triangular prism
Area of cross-section is the area of the triangle section.
Area of cross section:
5 × 6 × 0.5
30 × 0.5
= 15
Calculate volume:
15 × length
15 × 15
= 225
2^2(3-8)÷5-1 please help
Answers
Answer:
-5
Step-by-step explanation:
2^2*(3-8)÷5-1
4*(-5)÷4
-20÷4
=-5
Answer:
-5
Step-by-step explanation:
Firstly 2^2=4, 4(3-8)=4*(-5)= -20, -20/5 -1= -4-1= -5
find the value of n if (81)^5/n = 243
Answers
Answer:
N = 14348907
Step-by-step explanation:
81^5 = 3486784401
3486784401/243 = 14348907
Double Check
3486784401 / 14348907=243
So N = 14348907.
express 1023.4567 correct to 3 significant figures
Answers
Answer:
1020
Step-by-step explanation:
well, the first three significant figures stops at the 102, so round the 1023.4567 to a whole number which just becomes 1023
then, round the answer so you only have the 102, so you would round down since 4 or less, which 3 is less than 4, you round down, and you would get 1020
that last 0 is not a significant figure because it does not have a decimal point or any other number following after it--any 0s at the end of a number are not significant if there is no decimal point or other number after them.