+18 pts
An observer (O) spots a plane (P) taking off from a local airport and flying at a 33° angle horizontal to her line of sight and located directly above a tower (T). The observer also notices a bird (B) circling directly above her. If the distance from the plane(P) to the tower (T) is 7,000 feet, how far is the bird (B) from the plane (P)? Round to the nearest whole number.
Help please !
Answers
Find attached to this answer, the appropriate diagram that would help us better understand the question
Answer:
10779 feet
Step-by-step explanation:
We would be using the Trigonometric function called Tangent to solve this question.
tan θ = Opposite side / Adjacent side
From the attached diagram,
θ = 33°
Opposite side = 7000 feet
Adjacent side = the distance of bird (B) from the plane (P) = unknown
tan 33° = 7000 feet / Adjacent side
Cross multiply
tan 33° × Adjacent side = 7000 feet
divide both sides by tan 33°
Adjacent side = 7000 feet / tan 33°
Adjacent side = 10779.054747 feet.
Approximately = 10779 feet.
Therefore, the distance of bird (B) from the plane (P) to the nearest whole number is 10779 feet.
Related Questions
Please help me with my question!!
Answers
Answer:
Step-by-step explanation:
y = 10x + 50
x ---> no of weeks
y - intercept = 50
help me agian (**) plzzzzzzzzzzzzzzzzzzzz
Answers
Answer:
130%
Step-by-step explanation:
1.3=
130/100=
130%
Hope this helps!
Answer:
130%
Step-by-step explanation:
To express a decimal as a percent, you need to multiply it by 100.
1.3×100=
130
1.3 as a percent is 130%
The diaper service where you work bills customers once a week. Each week, it charges 0.30 each for the first 75 diapers used, and .025 each for any additional diapers. How much should you bill a family that used 100 diapers last week?
Answers
Answer: The correct answer for this question is $6.55
Step-by-step explanation:
Hope this helps
Answer:
28.75
Step-by-step explanation:
which expression is equivalent to y^4 -100?
Answers
Answer:
Using the difference of squares this can be rewritten as (y² + 10)(y² - 10).
Answer:
(y² + 10)(y² - 10)
Step-by-step explanation:
y^2=y^4
Krishne wants to measure the mass and volume of a key. Which tools should she use?
Answers
Answer:
a balance and a beaker of water
hope it helps mark as brainliest
Answer:
water and beaker, and other science tools
Step-by-step explanation:
Which of the following lists of ordered pairs is a function?
O A. (2, 4), (0, 2), (2, -4), (5,3)
O B. (1,6), (2,7),(4,9), (0,5)
O c. (0, 2), (2, 3), (0, -2), (4,1)
O D. (1, 2), (1, -2), (3, 2), (3, 4)
Answers
Answer:
B
Step-by-step explanation:
A function cannot have more than one point on the same x coordinate. So, B is the only option that works.
*I WILL MARK YOU BRAINLIEST!!!!*
Answers
Answer:
I believe it's c.
Step-by-step explanation:
Starts and includes 2, goes until and includes 5.
Answer:
C
Step-by-step explanation:
Domain represents the possible x-values and the line on the graph only runs through x-values between 2 and 5.
Please help on this !!!!!!!!!!! Will mark brainliest answer !!!!!!!!!
Answers
Answer:
the smallest r is the 4r and the biggest r is the r^2
VERTEX (-2,-64)
Step-by-step explanation:
Answer:
smaller r = -10
larger r = 6
The ordered pair for the vertex of the parabola is [tex](-2,-64)[/tex]
Step-by-step explanation:
We have the function [tex]f(r)=r^2+4x-60[/tex]
In order to factor this quadratic equation, we need to look for two numbers that will
Add together to get 4
Multiply together to get -60
Lets look for the numbers that multiply to give us -60.
-1 and 60
1 and -60
2 and -30
-2 and 30
3 and -20
-3 and 20
4 and -15
-4 and 15
5 and -12
-5 and 12
6 and -10
-6 and 10
Now, we just need to determine which of these numbers will add together to get us 4.
Those two numbers would be -6 and 10.
This means that our factored form of this equation will be
[tex]f(r)=(r-6)(r+10)[/tex]
From this, we can find our roots, which are the solutions to the equation when it is equal to 0.
[tex](r-6)(r+10)=0\\\\r=-10, r=6[/tex]
These are our r values.
The vertex of a parabola will always be directly between the two roots.
The number that is between -10 and 6 is [tex]r=-2[/tex]
To find the y-value of the coordinate pair, we just need to plug -2 into our function.
[tex]f(-2)=(-2)^2+4(-2)-60\\\\f(-2)=4-8-60\\\\f(-2)=-64[/tex]
This means that the ordered pair for the vertex of the parabola is [tex](-2,-64)[/tex]
2y + 4(y + 1) = blank y + blank
Answers
[tex]2y + 4(y + 1)[/tex]
Expand the brackets.
[tex]2y + 4y + 4[/tex]
Add the like terms.
[tex]6y + 4[/tex]
6y+4Answer:
6 y + 4
Step-by-step explanation:
=> 2y+4(y+1)
=> 2y+4y+4
=> 6y+4
Factor the expression below x^2+12+36 A) (x-6)(x-6) B) (x+6)(x+6) C) (x-9)(x-4) D) (x+9)(x+4)
Answers
Answer:
Answer B
Step-by-step explanation:
when you simplify it u get x^2+12+36
Which of the following represents a function?
Answers
Answer: C, a set of coords is only a function if it passes the vertical line test
Step-by-step explanation:
This is essentially the vertical line test. No two sets can have the same x value because it will fail the vertical line test. In answer a, -4 correlates to two y values. It fails the line test
B easily fails the test just by visually looking at it. It fails the line test
C has different x values so this looks promising. It passes the line test
D has the number 5 correlating with multiple y values. It fails the line test
Which graph represents the function f(x) = 1/x+3
-2
Answers
Answer:
Step-by-step explanation:
To eliminate ambiguity please use parentheses when typing a function like this one. I'm going to assume that you meant
f(x) = 1 / (x + 3) - 2
Start with the graph of y = 1/x. Its vertical asymptote is the line x = 0. The graph never touches the x-axis.
Translating the entire graph 3 units to the left will give you the function
h(x) = 1 / (x + 3).
Translating the above graph 2 units down will give you the desired function g(x) = 1 / (x + 3) - 2.
Answer:
Graph B on Edge2022.
Have a great day.
Which equation represents the graphed function? A)-3x+2=y B)-2/3x+2=y C)3/2x-3=y D) 2x-3=y
Answers
Answer:
C) 3/2x-3=y
Step-by-step explanation:
-3 because that is the Y-intercept and 3/2 is the slope of the line. Y= mx +b is the formula and m is the slope and b is the y intercept.
The equation of given graph is y = [tex]\frac{-3}{2} x - 3[/tex]
Concept:The general equation of straight line is y = m x + x, wherem = slope of line and c = y interceptHow to solve the given question?Here, the slope of line , [tex]m = \frac{-3 - 0}{2-0} = \frac{-3}{2}[/tex]Y intercept, c = -3∴ the equation of the graphed line, y = [tex]\frac{-3}{2} x - 3[/tex]
Learn more about line here:
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Subtract 4x4 + 2x2 +5 from the sum of 2x4 – 4x² – 3 and 3x4 – 3x2 +9.
Answers
Answer:
10
Step-by-step explanation:
Evaluate the expression for
m = -3.
-4 |5+m |
Answers
Answer: the correct answer is -8
Step-by-step explanation:
Substitute the given value of m into the expression:
-4|5 + (-3)|.
Then evaluate using the order of operations:
-4|5 + (-3)|
= -4|2|
= -4(2)
= -8
Substitute the given value of m into the expression:
-4|5 + (-3)|.
Then evaluate using the order of operations:
-4|5 + (-3)|
= -4|2|
= -4(2)
= -8
What is the first step in evaluating an expression?The first step in evaluating an expression is to substitute the given value of a variable into the expression. Then you can finish evaluating the expression using arithmetic.
What is an example of evaluating expressions?A variable is a letter, for example, x, y, or z, that represents an unspecified number. To evaluate an algebraic expression, you have to substitute a number for each variable and perform the arithmetic operations. In the example above, the variable x is equal to 6 since 6 + 6 = 12.
Learn more about Evaluate the expression here: https://brainly.com/question/4541471
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Write a coordinate proof to prove that the segment that joins the vertex angle of an isosceles triangle to the midpoint of its base is perpendicular to the base .
Answers
Answer:
Given: An Isosceles Triangle ABC with a vertex at B.
Midpoint M of the base AC.
To Prove: BM is perpendicular to AC.
Proof:
Let the coordinates of the points of the isosceles triangle be given as:
A = (-k, 0)
Vertex, B = (0,a)
C = (k, 0)
Midpoint, M = (0,0)
Slope of the base segment, AC:
[tex]=\dfrac{dy}{dx} = \dfrac{0 - 0}{k - (-k)} = \dfrac{0}{2\cdot k}[/tex]
Slope of the base segment, AC= [tex]\dfrac{0}{2\cdot k}=0[/tex]
Slope of the segment that joins the vertex angle of an isosceles triangle to the midpoint of its base, BM.
[tex]\text{Slope of BM =} \dfrac{0 - a}{0 - 0} = \dfrac{-a}{0}\\[/tex]
[tex]\text{Slope of BM = } \dfrac{-a}{0}[/tex] = Undefined
Two lines are perpendicular if the gradient of one is a negative reciprocal of the other.
Since [tex]-\dfrac{a}{0}[/tex] is a negative reciprocal of 0 for arbitrary values of a, BM and AC are perpendicular.
This concludes the proof.
!!Will mark Brainliest!! The points in the table lie on a line. What is the slope of the line?
Answers
Answer:
-7/6
Step-by-step explanation:
Please help!- this is 20% of my grade so I can pass 7th grade
Answers
The Answer for the open ended is easy just compare how they are different( The Y from the do now and the Y from this chart)
2. Y=1/2
Find the missing exponet
Answers
can anybody help me on this please I will be giving 15 points..
Answers
Answer:
BC=[tex]\sqrt{95}[/tex]
Angle A (or BAC)=54.31466...
Angle C (or ACB)=35.68533...
Step-by-step explanation:
[tex]\frac{7}{\sin \left(\angle \:ACB\right)}=\frac{12}{\sin \left(90\right)}[/tex]
[tex]BC=\sqrt{12^2-7^2}[/tex]
[tex]\sqrt{12^2-7^2}=\sqrt{95}[/tex]
[tex]\frac{\sqrt{95}}{\sin \left(\angle \:BAC\right)}=\frac{12}{\sin \left(90\right)}\quad :\quad \angle \:BAC=54.31466[/tex]
[tex]\frac{7}{\sin \left(\angle \:ACB\right)}=\frac{12}{\sin \left(90\right)}\quad :\quad \angle \:ACB=35.68533[/tex]
Using the pythagorean theorem
[tex]AC^2=AB^2+BC^2\\BC=\sqrt{AC^2-AB^2}\\BC=\sqrt{12^2-7^2}\\BC=\sqrt{144-49}\\BC=\sqrt{95}[/tex]
[tex]sin A=\frac{BC}{AC}=\frac{\sqrt{95} }{12}\\A = sin^{-1}(\frac{\sqrt{95} }{12})\\A = 54.31[/tex]
[tex]A + C = 90\\C = 90-A\\C= 90- 54.31\\C = 35.69[/tex]
Which expression is equivalent to 100 n^2 -1?
a) (10n)^2 -(1)^2
b) (10n^2)^2 -(1)^2
c) (50n)^2 -(1)^2
d) (50n^2)^2 -(1)^2
Answers
Answer:
a
Step-by-step explanation:
100n^2 = (10n^2)
-1 = -(1^2)
Answer:
So we can ignore the endings because they all have to same endings. We know that 10^2 = 100 We see only 2 answers that have that a and b. But we also need to get the n to the power. So we power each number in the parenthesis by 2. Only A lets you power both 10 and n at the same time.
Answer : AWhich among the following is the largest rational number? -2/4 -2/3 -1/3 -4/5
Answers
Answer:
-1/3
Step-by-step explanation:
All of the other numbers are less than -1/3
Answer:
-1/3 is the largest rational number
Step-by-step explanation:
[tex]\frac{-2}{4}=\frac{-1}{2}=\frac{-1*15}{2*15}=\frac{-15}{30}\\\\\\\\frac{-2}{3}=\frac{-2*10}{3*10}=\frac{-20}{30}\\\\\\\frac{-1}{3}=\frac{-1*10}{3*10}=\frac{-10}{30}\\\\\\\frac{-4}{5}=\frac{-4*6}{5*6}=\frac{-24}{30}\\\\\\\frac{-24}{30}<\frac{-20}{30}<\frac{-15}{30}<\frac{-10}{30}\\\\\\\frac{-4}{5}<\frac{-2}{3}<\frac{-2}{4}<\frac{-1}{3}[/tex]
-1/3 is the largest rational number
35 points!
The loudness, L, measured in decibels (Db), of a sound intensity, I, measured in watts per square meter, is defined as L = 10 log StartFraction I Over I 0 EndFraction, where I 0 = 10 Superscript negative 12 and is the least intense sound a human ear can hear. What is the approximate loudness of a rock concert with a sound intensity of 10–1?
A.) 2 Db
B.) 22 Db
C.) 60 Db
D.) 110 Db
Answers
Answer:
22
Step-by-step explanation:
Im sure because my sister got the same question on a test and she put 22 and got it right
The loudness of a rock concert with a sound intensity of 10⁻¹ is 110 dB.
EquationAn equation is an expression used to show the relationship between two or more variables and numbers.
Given that:
L = 10log(I / I₀)
Where L is the loudness, I is the sound intensity and I₀ = 10⁻¹².
For I = 10⁻¹:
L = 10log(10⁻¹ / 10⁻¹²) = 110 dB
The loudness of a rock concert with a sound intensity of 10⁻¹ is 110 dB.
Find out more on Equation at: https://brainly.com/question/2972832
Alexandra and Austin applied to the same university. They looked up the average SAT score of students admitted to that university. Alexandra's SAT score was 40 points above the average score. Austin's SAT score was 330 points below the average score. Which expression represents the difference in their scores?
Answers
Answer:
x= (y+40)-(y-330)
Step-by-step explanation:
According to the information provided, the difference in their scores would be the result of subtracting Austin's SAT score from Alexandra's SAT score.
Then, as Alexandra's SAT score was 40 points above the average score this means that you have to add 40 to the average score to get her result. Also, as Austin's SAT score was 330 points below the average score, this means that you have to subtract 330 from the average score. With this you can write the expression:
x= difference in their scores
y= average score
x= (y+40)-(y-330)
0.3y-0.3=0.4-0.4y
A=7
B=-1
C=-7
D=1
Answers
Answer: The answer is D: 1 (Vote me brainliest)
Answer:
y=1
Step-by-step explanation:
0.3y-0.3=0.4-0.4y
+0.4y
0.7y-0.3=0.4
+0.3
0.7y=0.7
-----
0.7
y=1
f(x) = x + 2
g(x) = x - 4
(f g)(x) =
0 2x- 2
O x² – 8
o x² – 2x- 8
o x² + 2x - 8
Answers
Answer:
(fg)(x) = x^2 -2x -8
Step-by-step explanation:
(fg)(x) = f(x)·g(x) = (x +2)(x -4)
= x(x -4) +2(x -4) = x^2 -4x +2x -8
= x^2 -2x -8 . . . . matches the 3rd choice
Given: Lines y and z are parallel, and ABC forms a triangle.
Prove: m25 + m_2 + m26 = 180°
M
Answers
Answer: Brainliess plsssssss
The answer in this question is Alternate interior angles are congruent.
Step-by-step explanation:
Alternate interior angles are defined as when the two lines are crossed by another line which is called transversal, the pairs of angles on opposite sides of the transversal but inside the two lines are known as alternate interior angles.
If A = T, then SM ___ MO. > = < NEED HELP
Answers
Answer:
I'm not sure but I think the answer is >
Step-by-step explanation:
It looks rig but if I were u I wouldn't trust me
i just did the quiz, It's > !
Please answer this correctly
Answers
Answer:
4 days
Step-by-step explanation:
there are 8 pints in a gallon
Answer:
4 days.
please see the attached picture for full solution solution.
hope it helps
good luck on your assignment
A survey showed that the average daily expenditure ( in rupees) of 24 household of a city were 215 , 248 , 225, 237, 227, 240, 238, 215, 214, 249, 236, 244, 221, 219, 232, 216, 242, 220, (230, 238, 228, 225, 211,221. What is the frequency of the class interval 225 – 230 (EXCLUDING 230)
Answers
Answer:
The frequency of the class interval 225 – 230 is 4
Step-by-step explanation:
The frequency of the class interval can be seen as how many times that elements within the class interval appeared.
To do this we will have to count out all the numbers that are bigger than 225 but less than 230. These are the elements in this class (225 - 230).
They include:
225, 227 228, 225
Hence there are 4 elements in this class.
The frequency of the class interval 225 – 230 is 4