The height of a building is 72 m. Find the angle of elevation from a point on ground level that is 55 m away from the base of the building
Answers
Answer:
52.6 degrees
Step-by-step explanation:
tan^-1(72/55)
Angle of elevation is equals to 52°7'(approximately).
What is angle of elevation?
" Angle of elevation is the angle between the horizontal plane and line of sight from the point of observation."
Formula used
In a right angled triangle,
tanθ = ( opposite side) / adjacent side)
According to the question,
As shown in diagram
Height of the building (AB) = 72m
Distance between base of the building and point of observation
(BC)= 55m
Angle of elevation = θ
Substitute the value in the formula we have,
tanθ = AB / BC
= 72 / 55
⇒ θ = tan⁻¹ (72 /55)
= tan ⁻¹(1.3091)
= 52° 7' (approximately)
Hence, angle of elevation is equals to 52°7'(approximately).
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Related Questions
Michael deposits $8000 into an account that pays simple interest at a rate of 6%per year. How much interest will he be paid in the first 6 years?
Answers
Monty buys hats in bulk to sell at his store. His cost for each hate is $17. He marks up the hats 45%. What is the retail price per hat?
Answers
The required retail cost of the hat before the markup is 11.73.
Given that,
Monty buys hats in bulk to sell at his store. His cost for each hate is $17. He marks up the hats 45%. What is the retail price per hat is to be determined.
The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.
here,
Let the retail cost be x,
According to the question, the retail price is markup by 45%.
So the cost after mark up = x + 0.45x = 1.45x
And
17 = 1.45x
x = 17 / 1.45
x = 11.73
Thus, the required retail cost of the hat before the markup is 11.73.
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On a coordinate plane, a triangle is shown. It has points A prime (4, 2), B prime (8, negative 8), and C prime (4, negative 8).
What is the pre-image of vertex A' if the rule that created the image is ry-axis(x, y) → (–x, y)?
A(–4, 2)
A(–2, –4)
A(2, 4)
A(4, –2)
Answers
Answer:
The answer for this question would be A(-4,2) because the preimage of 4,2 would be A(-4,2).
Answer:
The answer would be option a) A(–4, 2)!
Step-by-step explanation:
Just got it right on Edge. - hope this helps :D
Find the M_ABC in the diagram below.
A
B
(16y-12)
(12y + 8)
E
Answers
Answer:
where is the diagram
Step-by-step explanation:
The length of a rectangle is eight centimeters less than twice its width. If the perimeter of
the rectangle is 20 centimeters, find its dimensions.
Answers
Answer:
width of given rectangle = 6 cm
length of given rectangle = 4 cm
Step-by-step explanation:
Let the breadth be x cm
given that
The length of a rectangle is eight centimeters less than twice its width
length of rectangle in terms of x = 2(breadth ) - 8 = 2x - 8
we know perimeter of rectangle is given = 2(l + b)
thus, perimeter of given rectangle is = 2 ( x + 2x - 8) = 6x - 16
also given perimeter of the rectangle is 20 centimeters
thus,
6x - 16 = 20
6x = 20 + 16 = 36
x = 36/6 = 6
Thus,
width of given rectangle = 6 cm
length of given rectangle = 2*6 - 8 = 4 cm
NEED HELP ASAP WILL GIVE 100 points to who anwsers! Celia simplified the expression Negative 4 x (1 minus 3) minus (2 x + 2). She checked her work by letting x = 5 in both expressions. Her work for the original expression is shown below. Negative 4 x (1 minus 3) minus (2 x + 2) = negative 4 (5) (1 minus 3) minus (2 (5) + 2) = negative 20 (negative 2) minus 12 = 40 minus 12 = 28. Celia knows that the simplified expression should also equal 28 when x = 5. Which shows Celia’s simpllifed expression? –6x – 1 –6x + 2 6x + 1 6x – 2
Answers
Answer:
6x-2
Step-by-step explanation:
Celia’s simplified expression:
6x - 2.
The last option is correct.
What is an expression?One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase.
Given Phrase:
Celia simplified the expression Negative 4 x (1 minus 3) minus (2 x + 2).
That means,
-4x(1 -3) - (2x +2).
She checked her work by letting x = 5 in both expressions.
That means,
-4(5)(1 -3) - (2(5) +2).
= 40 - 12
= 28.
To find the simplified expression:
-4x(1 -3) - (2x +2),
= 6x - 2.
Therefore, the required expression is 6x - 2.
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x^2+6x≤-5 with an explanation pls
Answers
Answer:
−5≤x≤−1
Step-by-step explanation:hope that helps :)))
x2+6x=−5
x2+6x−(−5)=−5−(−5)(Subtract -5 from both sides)
x2+6x+5=0
(x+1)(x+5)=0(Factor left side of the equation)
x+1=0 or x+5=0(Set factors equal to 0)
x=−1 or x=−5
Check intervals in between critical points. (Test values in the intervals to see if they work.)
x≤−5(Doesn't work in original inequality)
−5≤x≤−1(Works in original inequality)
x≥−1(Doesn't work in original inequality)
Answer:
−5≤x≤−1
8s+15-4s=7s +6 solve for s
Answers
[tex]\bold{Hello!}\\\bold{Your~Answer~Is~Below!}[/tex]
______________________________
[tex]\bold{Solution~Steps:}[/tex]
[tex]1.)~Combine~8s~and~-4s:[/tex]
[tex]\bold{8s+(-4s)=4s}[/tex][tex]2.)~Subtract~7s~from~both~sides:[/tex]
[tex]\bold{7s-7s=Cancels~out}[/tex][tex]\bold{4s-7s=-3s}[/tex][tex]3.)~Subtract~15~from~both~sides:[/tex]
[tex]\bold{15-15=Cancels~out}[/tex][tex]\bold{6-15=-9}[/tex][tex]4.)~Divide~both~sides~by~-3:[/tex]
[tex]\bold{-3s}[/tex] ÷ [tex]\bold{-3s=Cancels~out}[/tex][tex]\bold{-9}[/tex] ÷ [tex]\bold{-3=3}[/tex][tex]\bold{When~there~is~2~negatives~being~divided,~the~quotient~is~always~positive.}[/tex]______________________________
[tex]\bold{Answer:}[/tex]
[tex]\boxed{s=3.}[/tex]______________________________
[tex]\bold{Hope~this~helps,}\\\bold{And~best~of~luck!}\\\\\bold{~~~~~~~-TotallyNotTrillex}[/tex]
9. If m ABZ = m_ZBC Then Ray BZ is called А Z B с MLABZ + m_ZBC = M LABC O Adjacent Congruent Midpoint Angle Bisector Oline segment BZ Clear selec
Answers
what are the common factors of 24 and 36
a. 1,3,4,9,18
b. 1,2,3,4,6,12
c. 1,2,3,4,6,8,12
d .1,2,4,6,12
Answers
Can someone please answer and explain??
Answers
Answer:
no
Step-by-step explanation: 12/3 can be written as 4
This number can be written as a rational number, a natural number, and a whole number.
Therefore, 12/3 is not only a rational number.
round off 572 389 correct to three significant figure
Answers
572000 or 5.72×10^5
Step-by-step explanation:
depends on what format ur teacher prefers but both show 3 sig figs correctly so either is correct
GIVING BRAINIEST
what do I put in the box
Answers
Answer:
You actually have it right 9.
Step-by-step explanation:
I got a 100% on the quiz!
Mark me BRAINLIEST!!!
Find two numbers if their ratio is 9:11 and their difference is 6.
The numbers can be 27, 33 or __, __
Plz help I'm so dumb -_-
Answers
Please answer showing work on paper if you can.
Answers
Steps:
Simplify: 9-4x + 2x² + 8x' +1+ 6x2
A
4x + 3x² +15
B 4x3 + 8x2 + 10
C 5x + 8x2 +9
D 5x + 10x² + 7
Answers
Answer:
C
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
combine like terms
Which of the following equations represents a function (15 points)
Answers
Six friends arrive at a party their arrival increases the number of people at the party by 20% in total how many people are now at the party
Answers
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Suppose that the number of the people in the party is :
[tex]x[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
20 % of x equals :
[tex] \frac{20}{100} \times x = 0.2x \\ [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Thus ;
[tex]0.2x = 6[/tex]
[tex] \frac{2}{10}x = 6 \\ [/tex]
Multiply sides by 10
[tex]10 \times \frac{2}{10} x = 10 \times 6 \\ [/tex]
[tex]2x = 60[/tex]
Divided sides by 2
[tex] \frac{2}{2} x = \frac{60}{2} \\ [/tex]
[tex]x = 30[/tex]
There were 30 people in the party.
Thus there are ;
[tex]30 + 6 = 36[/tex]
People at the party now.
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
I’m so sorry when I asked my question before the picture didn’t load so here is what I needed help with. So sorry
Answers
Answer: 3.75
Step-by-step explanation:
Hope this helps
Write an absolute value equation with a vertex of (7,0) that passes through the point (2,-3)
Answers
Answer:
Not sure sorry!
Wish that I could help!
Step-by-step explanation:
Answer:
Wait do we actually have to answer it? XD
Step-by-step explanation:
Find the sum of integers from 33 to 47:
Answers
Answer:
Step-by-step explanation:There are formulas to work this out, but you can also suss out an answer by a liberal application of critical thinking.
Okay, you want to add 51 + 52 + 53 + … + 99 + 100, right? (The … represents all the numbers in between, in case you were wondering.)
Well, that’s a total of 50 numbers. And if you know anything about addition, you know that it doesn’t matter what order you add them.
So you could also say 51 + 100 + 52 + 99 + 53 + 98 + … and so on.
Let’s see what happens. 51 + 100 = 151. So far so good.
Then, 52 + 99 also equals 151. And 53 + 98 also equals 151. Since there are 50 numbers, that’s 25 pairs that are going to add up to 151.
151 + 151 + 151 + 151 + … (21 more instances of 151).
So we can simplify our workload a bit. Instead of adding up all the numbers by hand, we can just multiply 151 by 25.
151 x 25 = 3775
From that, we can work out a generic formula that will allow you to add any sequence of numbers…without actually adding.
Let a be the first number in the sequence, and let n be the last number in the sequence. The number of numbers is (n - a) + 1. (You have to add 1, because if you just subtract, it’s like you’re losing the lowest number in the sequence).
So…you get the sum by adding the first and last number in the sequence, and then multiplying that result by half of the total number of numbers.
(a+n)((n−a)+12)
an−a2+a+n2−an+n2
−a2+a+n2+n2
−a(a−1)+n(n+1)2
Let’s check to see if it works!
−51(51–1)+100(100+1)2
−51(50)+100(101)2
−2550+10,1002
75502
3775
Note that if the starting number were 1, the formula would simplify to n(n+1)2
Following are the calculation to the sum of integers:
Given:
33 to 47
To find:
Sum of integers=?
Solution:
Given numbers:
33 to 47
[tex]\to \bold{33,34,35,36,37,38,39,40,41,42,43,44,45,46,47}[/tex]
Using formula:
[tex]\bold{S = \frac{n(a + l)}{2}}[/tex]
[tex]n=15\\\\a=33\\\\l=47 \\\\ \bold{S = \frac{15(33 + 47)}{2}}\\\\[/tex]
[tex]\bold{= \frac{15(80)}{2}}\\\\\bold{= \frac{1200}{2}}\\\\\bold{= 600}[/tex]
Therefore, the sum of the integers "600".
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your hair is 5/16
inch long. Write this length as a decimal.
Answers
Answer:
0.3125
Step-by-step explanation:
in decimal form. Use our fraction to decimal calculator to convert any fraction to a decimal and to know if it is a terminating or a recurring (repeating) decimal.
Answer:
0.3125
Step-by-step explanation:
solve -3/5y=-9
What does y=?
Answers
Answer:
Step-by-step explanation:
3/5
Which of the following expressions is written in scientific notation? (math)
Answers
Answer:
I need the expressions
Find the midpoint of the segment with the following endpoints (4,2 ) and (1,8)
Answers
Answer:
2.5, 5
Step-by-step explanation:
slope=-2 y intercept=0
Answers
Answer:
Step-by-step explanation:
I am assuming you want an equation
y=mx + b
m is the slope, and b is the y intercept, so just fill in the info
y=-2x + 0
because it is just + 0, you can simply write:
y=-2x
Note: I'm not completely sure of what you're asking, but I hope this helps in some way, shape, or form!! If not, feel free to tell me what you need, and I will edit my response.
Which translation will change figure ABCD to figure A'B'C'D'?
Polygon ABCD is drawn in the 4th quadrant of a 6 by 6 grid. Point A is at the ordered pair 4, negative 2, point B is at the ordered pair 6, negative 4, point C is at the ordered pair 2, negative 5, and point D is at the ordered pair 2, negative 3. Polygon A prime B prime C prime and D prime is drawn in the 2nd quadrant. Point A prime is at the ordered pair negative 3, 4, point B prime is at the ordered pair negative 1, 2, point C prime is at the ordered pair negative 5, 1, and point D prime is at the ordered pair negative 5, 3.
7 units left and 6 units up
6 units left and 7 units up
7 units left and 5 units up
5 units left and 7 units up
Answers
Answer: 7 units left and 6 Units Up.
Step-by-step explanation:
All you have to do is measure the distance, on the chart which in my answer. Its right BTW I alr did it. ;)
The transformation of polygon ABCD to form A'B'C'D' is 7 units left and 6 units up thus option (A) will be correct.
What is the transformation of a graph?Transformation is rearranging a graph by a given rule it could be either increment of coordinate or decrement or reflection.
If we reflect any graph about y = x then the coordinate will interchange it that (x,y) → (y,x).
As per the given polygon,ABCD
A(4,-2),B(6,-4),C(2,-5),D(2,-3)
The transformed polygon A'B'C'D'
A'(-3,4),B'(-1,2),C'(-5,1),D'(-5,3)
The original polygon ABCD and its transformed A'B'C'D have been drawn below.
f we look then it is clear that the transformed image is not rotated about any axis.
Now consider a point A(4,-2) and A'(-3,4)
4 + x = -3 → x = -7 (7 units left)
-2 + y = 4 → Y = 6 (6 units up)
Hence "The transformation of polygon ABCD to form A'B'C'D' is 7 units left and 6 units up".
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In the figure shown, lines 1 and 2 are parallel. The figure shows two diagonal parallel lines Italic l 1 and Italic l 2 and a horizontal line Italic l 3 cuts the two diagonal lines at different points. On the intersection point on the left, the angle formed on the top left portion is labeled as 1, the angle formed on the top right portion is labeled as 2, the angle formed on the bottom left portion is labeled as 5, and the angle formed on the bottom right portion is labeled as 6. On the intersection point on the right, the angle formed on the top left portion is labeled as 3, the angle formed on the top right portion is labeled as 4, the angle formed on the bottom left portion is labeled as 7, and the angle formed on the bottom right portion is labeled as 8. The sum of the measures of angles 4 and 5 is 150 ° . What is the measure of angle 1?
A. 30 °
B. 75 °
C. 105 °
D. 115 °
Answers
A bowl contains 6 apples, 3 oranges and 5 pears. If five pieces of fruit are drawn without replacement, what is the probability of picking:
a) exactly 4 pears
b) at least 2 apples
c) how many apples would you expect to pick out of the 5 pieces of fruit?
Answers
Answer:
Step-by-step explanation:
4choose 2
please help
thanks in advance
Answers
Answer:
D. d=6.9r
Step-by-step explanation: