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
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).
Learn more about angle of elevation here
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Please help ASAP!! Geometry
Answer:
Step-by-step explanation:
Vertical Angles are two angles whose sides form two pairs of opposite rays (straight lines).
So, looking at the chart in the picture and description ^:
1) Corresponding
2) Vertical
3) Alternate Exterior
4) Alternate Interior
5) Consecutive Interior
Can't clearly read the numbers for 6 and 7.
Answer:
Step-by-step explanation:
Quick question
Select True or False. (1 point)
The expression 4x − 2(5x − 1) is equivalent to the expression 2 + 6x.
True
or
False
Answer:
False
Step-by-step explanation:
Let us evaluate the problem using the proper order of operation:
4x − 2(5x − 1)
To solve this problem, we use the order of operation called PEMDAS;
P - Parentheses
E - Exponents
M - Multiplication
D - Division
A - Addition
S - Subtraction
Now, since operations inside the parentheses are of the utmost priority, let us solve this;
4x − 2(5x − 1)
= 4x - 10x +2
= -6x + 2 or 2 - 6x
We see that the solution give is false.
Help me on this 2 : ?
Answer:
2:7
Step-by-step explanation:
At the park, a statue stands on a marble base. The statue and marble base have a total height of 59.4 inches. The height of the marble base is 16.09 centimeters. Given that 1 inch is equal to 2.54 centimeters, what is the height of the statue?
Answer:
134.786 centimeters
Step-by-step explanation:
First you need to convert inches to cm by doing 59.4x2.54=150.876 then you subtract 16.09 from that. Your answer would be 134.786 centimeters
how do simplify -15.6/-4
The answer is -3.9
Step-by-step explanation:
Cam wrote four statements using absolute value. Which of Cam's statements is incorrect?
A
|-8|= 8
В.
|5|= 5
C.
|-31| = 3
D.
-|7|= -7
Explain how to find the sum −8.46+5.31.
Answer:
-3.15
Step-by-step explanation:First you must line them up
- 8 . 4 6
+ 5 . 3 1
-------------------
Then you add
- 8 . 4 6
+ 5 . 3 1
-------------------
3 . 1 5
You get three becuase -8 + 5 is 3.
Hope this helps :)
5)40 is 77% of what number.
6) in Minnesota sales tax is 6.875%.what is the total (including tax) on items that total $178.46?
Answer:
5. 34% 6. $190.73
Step-by-step explanation:
trust man just trust
Answer:
5) 52
6) $190.73
Step-by-step explanation:
5)
Let the unknown number be x.
40 is 77% of x
40 = 0.77x
Divide both sides by 0.77
x = 52
Answer: the number is 52.
6)
We first calculate the amount of tax which is 6.875% of $178.46.
6.875% of $178.46 =
= 0.06875 * $178.46
= $12.27
The amount of tax is $12.27.
Now we add the amount of tax to the price before tax.
$178.46 + $12.27 = $190.73
PLEASE SOLVE QUICKLY I WILL MAKE YOU BRAINLIEST!!!
solve for both X and Y, please do it fast it's due soon!!! thankyou!!
Answer:
x=25°, y=18°
Step-by-step explanation:
Solved! Here is the explanation. As we have supplementary angles, we have a total of 180° of angles. Angle BXD is a right angle, so 2x+40°=90°. 2x=50°, and then we have x=25°. Now, to figure out y, we have to look at angle BXA. In this case, 5y=90°. y=18°. So, x=25° and y=18°. Hope this explanation helps!
An art student uses a roll of wallpaper to decorate two gift boxes. The student will use 3 1 3 yards of paper for one box and 5 6 yard of paper for the other box. The paper must be cut into pieces that are 1 6 yard long. How many pieces will the student cut to use for the gift boxes?
Answer:
25 pieces
Step-by-step explanation:
Given
[tex]Box_1 = 3\frac{1}{3}[/tex]
[tex]Box_2 = \frac{5}{6}[/tex]
[tex]Pieces = \frac{1}{6}[/tex] yard
Required
Determine the number of pieces
First, we need to determine the total yards of paper
[tex]Total = Box_1 + Box_2[/tex]
[tex]Total = 3\frac{1}{3} + \frac{5}{6}[/tex]
[tex]Total = \frac{10}{3} + \frac{5}{6}[/tex]
[tex]Total = \frac{20 + 5}{6}[/tex]
[tex]Total = \frac{25}{6}[/tex]
Divide by the size of the pieces to get the number of pieces
[tex]Number = Total/Pieces[/tex]
[tex]Number = \frac{25}{6} / \frac{1}{6}[/tex]
[tex]Number = \frac{25}{6} * \frac{6}{1}[/tex]
[tex]Number = \frac{25}{1} * \frac{1}{1}[/tex]
[tex]Number = 25[/tex]
Charlie is reading about animal hearts in a kids science magazine. He learns that a nestling (young) Striped Horned Owls heart weighs approximately 1.072 grams and blue whale's heart weighs 400 lbs. He is eager to share what he learned with his friends over lunch the next day and tells them that a blue whale's heart and a striped horned owl's heart are two orders of magnitude apart. Do you agree with Charlie's statement? Explain.
Answer:
Charlie's statement is incorrectStep-by-step explanation:
Given that the owls heart weighs 1.072 grams
and the Whale's heart weighs 400lbs
let us convert from pounds to grams to have a uniform unit
400lbs = 181,437grams
Now when two readings or quantities are two orders apart it means that they differ by a factor of 100
let us solve for the difference between the two hearts
181,437grams- 1.072 grams= 181 435.928 grams
the difference is more than two orders, hence the statement is not correct
What is shaded in here?
Answer:
4/100 is the fraction
Step-by-step explanation:
there are four blue blocks shaded out of the 100
-\dfrac23p+\dfrac15-1+\dfrac56p−
3
2
p+
5
1
−1+
6
5
p
Answer:
p=3
Step-by-step explanation:
5 +5 =10 p÷3(4+6) =py
=p3
35+7x=-3(-5-4x) what is the answer?
Answer:
-5x=-50
x=-10
Step-by-step explanation:
Tran earns $16 per hour and is paid a flat fee of $46 each week. At
the end of the week her total salary can be represented by the
equation y=16x + 46, where x is the number of hours, and y is the
total weekly salary. Write this relationship in functional notation, as a
function S(h), where S(h) represents the salary for h number of hours.
Answer:
[tex]S(h)=16h+46[/tex]
Step-by-step explanation:
We just need to substitute the variables here! You already have the equations so instead of [tex]x[/tex] for hours, we use [tex]h.[/tex] And since it's a function the result is not [tex]y[/tex] but rather [tex]S(h)[/tex].
So we get the answer of: [tex]S(h)=16h+46[/tex]
Solve 8x-3y=14 for y
Answer:
see the photo
Step-by-step explanation:
hope this helps
Is -5 a solution to the equation 6x + 5 = 5x + 2x? Explain?
Ok last one my sis needs help on lol again I’m doing my homework and cAnT HeLp rn pls just help lol
Answer:
Part A: 15.55
Part B: 0.45
Step-by-step explanation:
Part A:
The giraffe is already 14.29 so when you add the length of its tongue (equation 14.29 + 1.26) then that would equal 15.55
Part B:
The giraffe is trying to eat some leaves that are 16 feet above the ground so you would subtract 16 - 15.55 to see how much farther it needs to reach, so the answer is 0.45.
(This is what I got, I apologize if I get this wrong. If I messed up on something, someone please correct me, thank you and have a nice day!)
Answer:
Part A: It can reach 15.55 feet.
Part B: Need to reach 0.45 feet farther to get to the leaves of a 16 feet tree.
Step-by-step explanation:
giraffe + tongue = reach
14.29 + 1.26 = 15.55
tree height - giraffe reach = extra distance
16 - 15.55 = 0.45 feet
4. Show that Polygon A is congruent to Polygon B.
A is equivalent to B because if you flip or reflect A, then translate A it overlaps.
1. Draw A's reflection below it: as if you flipped it.
2. Take the drawing and draw it mirroring B
3. Once you draw the second drawing if you moved, translated, it it would fit over the shape of the B polygon.
Morgan scored 41 points in 3 games. How many points did she score in 1 game?
Answer:
She is averaging 14 points a game, or close to it.
17. Fruit drink A consists of 6% pure fruit juice and drink B consists of 15% pure fruit
juice. How much of each kind of drink should you mix together to get 4 L of a 10%
concentration of fruit juice?
Answer: drink A should be mix in all while B should be 3% only
Step-by-step explanation:
Answer:
2.22 liters of 6% drink should be mixed with 1.78 liters of 15% drink to get 4 liters of 10% drink.
Step-by-step explanation:
Hope this helped!
HEY CAN ANYONE PLS ANSWER DIS MATH QUESTION!!!!!!!!!!!!
Answer:
A is the answer, i.e at the cost, c of $250.
Step-by-step explanation:
0.08c = 0.05c + 7.5
0.08c - 0.05c = 7.5
0.03c = 7.5
c = 7.5/0.03 = 250
Help how do I find the missing sides in this special triangle
The length of a car is 15 2/5 meters. What is the length of 7 cars?
Answer:
107 4/5. This is because 2/5 is 0.4 and 15 times 7 is 105.
What is sin 60 degrees?
Answer:
A
Step-by-step explanation:
guys help ME OUT
Compare the rental car costs, C(200) and T(200). Which car company, Speedy or Tom's Car Rentals, offers a better price for a one day rental, given that the car will be driven exactly 200 miles?
Answer:
Tom's Car Rentals
Step-by-step explanation:
S: 0.10(200) + 41 = 61
T: 0.25(200) = 50
It is evident that Tom's Car Rentals holds the better deal.
This is what I said on my homework:)
A number "s" is subtracted from seven. When the result is divided by three, the quotient is two. What is the number?
Answer:
13.
Step-by-step explanation:
Here's the equation you can write:
s-7/3=2
s-7=6
s=13
Michelle has a 1 2/3 pound box of cereal. She wants to make equal servings that completely use all of the cereal. Which of these servings amounts would have no left over cereal?
A. 1/12 lb
B. 1/10 lb
C. 1/8 lb
D. 1/5 lb
Answer:
A) 1/12 lb.
.. (1 2/3)/20 = 1/20 + (2/3)*(1/20)
.. = 1/20 + 1/30
.. = 3/60 + 2/60
.. = 5/60 = 1/12
decrease £240 by 10%
Answer:
216
Step-by-step explanation:
240 - 240(.10)
= 240 - 24
= 216
Alternative method:
240(.90) = 216