Angle of elevation is angle measured from horizontal line to line of sight, The distance from the plane to the observer is 25,636 feet approx
What is angle of elevation?You look straight parallel to ground. But when you have to watch something high, then you take your sight up by moving your head up. The angle from horizontal line to the point where you stopped your head is called angle of elevation. See the figure where angle OPD is the angle when observer saw the plane. It is measured from the horizontal line OD.
Refer to the attached figure.
It is given that we have
Length of PD = |PD| = 21,000 feet
Angle ∠OPD = 55°
Assuming length of OP = |OP| = x feet, we get the sin ratio as
[tex]sin(55^\circ) = \dfrac{|PD|}{|OP|} = \dfrac{21000}{x}\\\\x = \dfrac{21000}{\sin(55^\circ)} \approx 25636.27 \approx 25636 \: \rm feet[/tex]
(tan 55° was calculated from online calculator)
Thus,
The distance from the plane to the observer is 25,636 feet approx.
Learn more about trigonometric ratios here:
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Answer:
B. 25,636 ft.
Step-by-step explanation:
Cause I'm Asian, I make the rules here...
what's this....?
5(x+9)=60
Answer:
Raquel has gross pay of $732 and federal tax withholdings of $62. Determine Raquel’s net pay if she has the additional items withheld: Social Security tax that is 6. 2% of her gross pay Medicare tax that is 1. 45% of her gross pay state tax that is 21% of her federal tax a. $600. 99 b. $610. 54 c. $641. 83 d. $662. 99.
Step-by-step explanation:
hello ur intro
283 is the same as the quotient of 97 and u
Answer:
283=97/u U=2.917
Step-by-step explanation:
if you have choices and more information, it would be helpful when answering questions
Layla read 6 books in the first two months she was a member of a book club. Which equation best represents y, the total number of books read in x number of months?
A. y = 6x
B. y = 2x
C. y = 3x
D. Not Here
Answer:
C
Step-by-step explanation:
So if we look at the information that we already know, Layla's reading to months ratio is, 6:2. But to find out the equation we want to find out how many books she reads in ONE month instead of two.
Divide 2/2, and for ratios if you divide one side you have to do the same thing to the other side, so we get, 3:1. Where Layla reads 3 books per 1 month.
Therefore the answer is C.
If we wanted to double check our answer we could substitute our information back in:
6=3×2
6=6
Since the equations equal each other, we know we got it correct.
What is the 4th equivalent fraction to
5/6
Answer:
20/24
Step-by-step explanation: Hope this helps
Nancy Drew runs an ice cream shop. She is determining how many employees should work next week and at what times. She is performing which management function?
The management function being performed by Nancy according to the description is; Scheduling/Planning
Management FunctionsManagement functions simply is a collection of the five broad activities that managers perform in a bid to achieve organizational goals which includes:
Planning,Organizing,Staffing,Directing, andControllingRead more on management functions;
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Can anyone help please
Answer:
Monday: 25
Tuesday: 121
Wednesday: 15
Step-by-step explanation:
Monday: square numbers
[tex] {1}^{2} = 1 [/tex]
[tex]2 {}^{2} = 4[/tex]
[tex] {3}^{2} = 9[/tex]
[tex] {4}^{2} = 16[/tex]
[tex] {5 }^{2} = 25[/tex]
[tex] {6}^{2} = 36[/tex]
Tuesday: add a power of 3
[tex] {3}^{1 } = 3[/tex]
[tex] {3}^{2} = 9[/tex]
[tex] {3}^{3} = 27 [/tex]
[tex] {3}^{4} = 81[/tex]
1+3=4, 4+9=13, 13+27=40, 40+81=121
Wednesday: one less than a power of 2
[tex] {2}^{1} - 1 = 2 - 1 = 1[/tex]
[tex] {2}^{2} - 1 = 4 - 1 = 3[/tex]
[tex] {2}^{3} - 1 = 8 - 1 = 7[/tex]
[tex] {2}^{4} - 1 = 16 - 1 = 15[/tex]
[tex] {2}^{5} - 1 = 32 - 1 = 31[/tex]
[tex] {2}^{6} - 1 = 64 - 1 = 63[/tex]
i dont know what to put can you help
Answer:
Step-by-step explanation:
m ∠ 1 = 42 °
m ∠ 2 = m ∠ 4 = m ∠ 9 = m ∠ 12 = ( 180° - 62° - 42° ) = 76 °
m ∠ 3 = m ∠ 6 = m ∠ 7 = 62 °
m ∠ 5 = m ∠ 8 = ( 180° - 62° ) = 118 °
m ∠ 10 = m ∠ 11 = ( 180° - 76° ) = 104 °
assuming all variables are positive, use properties of logarithms to write the expression as a sum or difference of logarithms or multiples of logarithms. log8 9x
[tex]\textit{logarithm of factors} \\\\ \log_a(xy)\implies \log_a(x)+\log_a(y) \\\\[-0.35em] ~\dotfill\\\\ \log_8(9x)\implies \log_8(9)+\log_8(x)[/tex]
I need help with this
find the value of x in the equation below.
PLEASE SHOW ALL YOUR WORK
-3x-5=-17
Answer: x=4
Step-by-step explanation:
-3x-5=-17
+5 +5
-3x=-12
/-3 /-3
x=4
Classify each pair of numbered angles. Drag and drop the descriptions into the boxes to correctly classify each pair of numbered angles. Each description may be used more than once. Two lines intersect. The largest angle has the equation (3x minus 52) degrees to define it and the second to largest angle has the equation (2x plus 2) degrees to define it. A straight line with another line coming out of it at an angle. The largest angle has the equation (10x minus 20) degrees to define it and the smaller angle has the equation (6x plus 8) degrees to define it.
(i) Pairs of neighboring angles are supplementary and opposite angles have the same measure.
(ii) The two angles formed by a line coming out of another line are supplementary.
How to analyze pairs of angles
(i) When two straight lines pass through each other, then two pairs of opposite angles are constructed. A pair with angles of [tex](3\cdot x + 52)^{\circ}[/tex] and another pair with angles of [tex](2\cdot x + 2)^{\circ}[/tex], each pair of angles with different measures are supplementary.[tex]\blacksquare[/tex]
(ii) When a straight line comes out of another straight line, from a point distinct to any endpoint of the former, then we construct two supplementary angles. The largest angle has a value of [tex](10\cdot x + 20)^{\circ}[/tex], whereas the smaller one has a value of [tex](6\cdot x + 8)^{\circ}[/tex]. [tex]\blacksquare[/tex]
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How I find a area of a trapezoid
Review the equation below. 2KClO3 Right arrow. 2KCl + 3O2 How many moles of oxygen are produced when 2 mol of potassium chlorate (KClO3) decompose? 1 2 3 6
Answer: 3 mol of O₂
Solution:
The Balance chemical equation is as follow,
2 KClO₃ → 2 KCl + 3 O₂
According to this equation on decomposition 2 moles of Potassium chlorate (KClO₃) produces 2 moles of Poatassium chloride (KCl) and 3 moles of oxygen gas (O₂).
Therefore, when,
2 moles of KClO₃ produces = 3 moles of O₂
So,
2 moles of KClO₃ will produce = X moles of O₂
Solving for X,
X = (2 mol × 3 mol) ÷ 2 mol
X = 3 mol of O₂
Using above method you can calculate any amount of O₂ or KCl produced by decomposing any amount of KClO₃.
Answer:
3 mol of O₂
Step-by-step explanation:
i got a hundred on Edge
ASAP!!! please help!!!!!!!!!!!!!!!!!!!!!
Answer:
1.5
Step-by-step explanation:
because if u divide 6 by 4 that will equal 1.5
Find the three consecutive square numbers whose sum is 149.
Answer:
36 + 49 + 64 = 149
6^+7^2+8^2
Hope This Helps!!!
Factor this trinomial: 6x^2 +19x+3
Please show all work, I give Brainliest.
Step-by-step explanation:
[tex]\implies \: {6x}^{2} + 19x + 3 \\ \implies {6x}^{2} + (18 + 1)x + 3 \\ \implies {6x}^{2} + 18x + x + 3 \\ \implies6x(x + 3) + 1(x + 3) \\ \implies(x + 3)(6x + 1)[/tex]
Sue Ellen owns 2/7 of a business. What percent of the partnership does she own?
Answer:
20%?
Step-by-step explanation:
I think im wrong but what u can do is u can convert the fraction into a decimal then get ur answer from there.
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Select all the expressions that are equivalent to 4-3.
A) -12
B) (-4) - (-4).(-4)
C) 2-6
D (1/4) • (1/4) • (1/4)
E) (1) · (1). (1)
F) 8-1/ 2 to the power of 2
G) 12
Answer:
See below.
Step-by-step explanation:
4*-3
A) -12
C) 2*-6
-hope it helps
The expressions that are equivalent to 4 × -3 are A) -12 and C) 2 × -6.
What is the expression?Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.
Option A is a straightforward multiplication of 4 and -3, which gives -12.
Option C (2 × -6) is equal to -12.
Option B can be simplified as follows: (-4) - (-4) · (-4) = (-4) - 16 = -20.
Therefore, option B is not equivalent to 4 × -3.
Option D is equal to 1/64.
Option E is equal to 1.
Option F is equal to 2, and option G is equal to 12.
Options B, D, E, F, and G are not equivalent to 4 × -3.
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A textbook store sold a combined total of 480 physics and history textbooks in a week. The number of physics textbooks sold was three times the number of history textbooks sold. How many textbooks of each type were sold?
Answer:
120 history textbooks
360 physics textbooks
Step-by-step explanation:
Physics textbooks = 3 times the amount of history textbooks
History textbooks = x
Physics textbooks = 3x
480 = x + 3x
= 4x
480/4 = x
x = 120
120 history books sold
480-120 = 360
360 physics textbooks sold
btw sorry if I didn't give enough working or help you understand it I'm not great at this kind of thing
Bryant types 1400 words in 25 minutes. How many words does he type per minute?
Answer:
56 words per minute
Step-by-step explanation:
1400÷25=56
Answer:
56 wpm
Step-by-step explanation:
can someone please help me
Answer:
1a. 58/99
1b. 53/90
1c. 29/50
Step-by-step explanation:
let's start with the easiest one
1.(c)
0.58 = 58/100 = 29/50
that is the simplest possible form, as 29 is a prime number and not a factor of 50.
1.(a)
0.585858585858... = 58×0.0101010101010101...
now, we know that 1/"double digit" (like 1/22) mostly produces a repeating pattern with a period length of 2 after the decimal point.
and we find
1/99 = 0.01010101010101...
so, our solution is
58 × 1/99 = 58/99
that is the simplest possible form, as 58 and 99 do not share any factors.
1.(b)
0.5888888888888... = 0.5 + 0.0888888888888... =
= 0.5 + 8×0.01111111111111... = 0.5 + 8×1/10 × 0.1111111111...
we know how to create 0.11111111111... :
1/9 = 0.111111111111111...
so, our solution is
0.5 + 8 × 1/10 × 1/9 = 0.5 + 8/90 = 5/10 + 8/90 =
= 45/90 + 8/90 = 53/90
this is the simplest possible form, as 53 is already a prime number and not a factor of 90.
sketch the graph of f(x)=-3^x and describe the end behavior of the graph.
Answer: 3-
Step-by-step explanation:
Find the coordinates of point C on AB that is = of the distance from A to B.
Answer:
We need to see the graph can u show me the graph
Step-by-step explanation:
?
What is the conversion factor for the relationship between millimeters and centimeters?.
Answer:
10 mm = 1 cm
Step-by-step explanation:
10 mm = 1 cm
__
The SI prefix "milli-" means 1/1000. The prefix "centi-" means 1/100. Consequently 1 cm = 0.010 m and 1 mm = 0.001 m.
There are 10 mm in 1 cm.
Adrian wants to buy a skateboard that costs $85 After 1 month, he has $4 in savings and plans to quadruple the amount he has saved each month for 4 months Will Adrian have enough money to buy the skateboard in 4 months?
1. What are the vertices of △′′′white up pointing triangle . e prime , f prime , g prime for each translation? a. ⟨,−⟩(△)=△′′′
Answer:
The coordinates of the vertices are ′(,−), e prime . open 1 comma negative 3 close comma ′(,−), f prime . open 5 comma negative 2 close comma and ′(,−). g prime . open 4 comma negative 8 close .
Step-by-step explanation:
Can someone help me please
Area of trapezium= 1/2 × (a+b) × h
= 1/2 × (12 + 8) × 8
= 1/2 × 20 × 8
= 10 × 8
= 80 cm^3
Hope it helps you
please help it would really help alot
Step-by-step explanation:
An appropriate estimation would be to the ones place.
[tex] \frac{36 \div 4}{40 \div 4} = \frac{9}{10} [/tex]
9/10 (90%) is closer to 1 than to 0.
The estimation for 36/40 is 1.
1/3 (33%) is closer to 0 than to 1.
The estimation for 1/3 is 0.
[tex] \frac{70 \div 10}{100 \div 10} = \frac{7}{10} [/tex]
7/10 (70%) is closer to 1 than to 0.
The estimation for 7/10 is 1.
1/8 (12.5%) is closer to 0 than to 1.
The estimation for 1/8 is 0.
yall HELP PLEASE What is the slope of the line segment?
Answer:
a. 5
Step-by-step explanation:
Taking two points, (0,0) and (1,5), find the slope using [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]. Plugging the two points in, we have [tex]\frac{5-0}{1-0}=5[/tex] as the slope.
Answer:
Slope = 5
Step-by-step explanation:
We will use 2 points on the line.
(1 , 5) and (2 , 10)
formula for slope = y2 - y1/x2 - x1
10 - 5/2 - 1
= 5/1
= 5
The slope is 5.