Two Identical Buildings stand parallel on opposite sides of a road. Find the angle of depression from A to B
Answers
Answer:
8.7°
Step-by-step explanation:
The above problem can be represented by a right angled triangle with height of 7 m, hypotenuse = AB.
The base of the triangle is gotten by finding the diagonal of the road. That is using Pythagoras theorem:
base² = 43² + 15²
base² = 2074
base = 45.54 m
Using trigonometric function to find angle A:
tan(A) = base / height
tan(A) = 45.54 / 7
tan(A) = 6.506
A = tan⁻¹ (6.506)
A = 81.3°
Angle of depression = 90° - A = 90 - 81.3
Angle of depression = = 8.7°
Related Questions
The perimeter of a certain pentagon is 10.5 centimeters. Four sides of this pentagon have the same
length, in centimeters, h, and the other side has a length of 1.7 centimeters, as shown below.
Answers
P = 1.7 + 5h = 10.5
Calculating for h from the generated equation will give us an answer of 1.76 cm.
20 POINTS
Layla and Cayden are racing at the playground. The playground is rectangular and has a length of 82 meters and a width of 50 meters. Cayden will run around the entire perimeter of the rectangular playground while Layla will run diagonally across the playground twice. (She will end where she started). Cayden runs 3 meters per second and Layla runs 2 meters per second.
A: Who will finish first?
B: How much faster will that person's finish time be?
HELP PLEASEEEEEEEEEEEEEEEEEEEEEEE
FOR THE SECOND TIME I ASKED THIS QUESTION ;-;
Answers
factor the expression using GCF
69 + 84
Answers
NEED HELP NOW!!
Does this graph show a function? Explain how you know
A. No; there are y values that have more than one x value.
B. No, the graph fails the vertical line test.
C. Yes; there are no yvalues that have more than one x-value.
D. Yes; the graph passes the vertical line test.
Answers
Answer:
i am not sure to my answer
my answer is letter D
Answer:
yes answer is d.. this is clear
An airplane is flying at a constant speed, described by the equation d=575t, where d represents the distance, in miles, that the airplane travels at this speed in t hours.
What does the 575 tell us in this situation?
How many miles does the airplane travel in 2 hours?
Answers
Answer:
nope
Step-by-step explanation:
Answer:
1150 distance traveled in 2 miles
Step-by-step explanation:
575+575 for 2 miles
1150 distance traveled
What is the sum of 2/11’ 2/7’ and 1/11’?
Answers
To solve this addition of fractions we are gonna apply the fraction rule which is;
a/c + b/c = (a + b)/c
2/11 + 1/11 = (2 + 1)/11
= (2 + 1)/11 + 2/7
Now add the numerators 2 + 1
= (2 + 1)/11 + 2/7
= 3/11 + 2/7
Now we find the least common multiple
The least common multiple of 11 and 7 is 77.
But before that we cross multiply the numerators.
3 * 7 = 21
2 * 11 = 22
Now the ajustes fraction is;
21/77 + 22/77
Apply the fraction rule which is;
a/c + b/c = (a + b)/c
= (21 + 22)/77
Now we add the numerators.
43/77
Therefore the answer in fraction is 43/77 and in decimal form it is 0.55841
On Saturday moming, Owen earned $27. By the end of the afternoon he
had earned a total of $60. Enter
an equation, using x as your variable, to determine whether Owen earned $33 or $37 on Saturday
afternoon.
Answers
-27 -27
x=33
Owen earned $33
From a distance of 43 feet from the base of a building the angle of elevation to the top of the
building is 64º. Estimate the height of the building to the nearest foot.
A) 21 feet
B) 39 feet
C) 88 feet
D) 19 feet
Answers
Answer: B 39 ft I think
Step-by-step explanation:
Max and Sasha exercise a total of 20 hours each week. Max exercises 15 hours less than 4 times the
number of hours Sasha exercises. The system of equations shown below represents this situation, where
x represents the number of hours Max exercises and y represents the number of hours Sasha exercises.
How many hours do Max and Sasha exercise per week?
(x + y = 20
x - 4y =-15
Max exercises
hours a week and Sasha exercises
hours a week.
Answers
Answer:
Max exercises 13 hours a week, and Sasha 7.
Step-by-step explanation:
To find the number of hours each of them exercises during the week, we solve the system of equations.
In the second equation:
[tex]x = 4y - 15[/tex]
Replacing in the first equation:
[tex]x + y = 20[/tex]
[tex]4y - 15 + y = 20[/tex]
[tex]5y = 35[/tex]
[tex]y = \frac{35}{5}[/tex]
[tex]y = 7[/tex]
So Sasha exercises 7 hours per week.
Max:
[tex]x + y = 20[/tex]
[tex]x + 7 = 20[/tex]
[tex]x = 13[/tex]
Max exercises 13 hours a week.
if 10 milligrams are contained in 2 milliters, how many milligrams are contained in 28 milliliters
Answers
Answer:
140
Step-by-step explanation:
If there is 10 milligrams for 2 milliliters that means, for ever 1 milliliter there is 5 milligrams. So all we have to do is multiply amount of milliliters by 5. So 28x5=140
Pleas Mark Brainliest
American Sign Language
In general, Deaf culture is more open about honestly expressing emotion than other cultures.
a. True
b. False
Answers
Answer:
false ignore this I needed to write something else to hand it in
What’s the answer pls
Answers
35 * .06 = 2.1
35 + 2.1 = 37.1
Please help me. I have no idea what to do!!
Answers
Answer:
It's the first option.
Step-by-step explanation:
It is turned down so the one half is negative (-1/2)
parabola will be in the form of a(x-h)^2 + k. (-h, k) is your vertex, in this case that is (15,25). so in the equation, you will have
-1/2(x-15)^2 + 25. first one.
Hope this helps!
What number makes the equation true? Enter the answer in the box
Answers
Answer:
6
Explanation:
8 x 6 = 48
48 ÷ 6 = 8
What is the measure of 2X?
х
1240
Select the best answer from the choices provided.
A.56
B.66
C.114
D.124
Answers
Alex’s monthly take home pay is $2,500. What is the maximum bad debt payment he can maintain without being in credit overload?
A): $250
B): $325
C): $475
D): $500
Answers
Answer:
it's d I agree with other person that answered
The solution is Option D.
The maximum bad debt payment Alex can maintain without being in credit overload is given by the equation A = $ 500
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the maximum bad debt payment Alex can maintain without being in credit overload be A
Let the take home pay of Alex be = $ 2,500
The percentage of maximum debt payment be = 20 %
Now , the equation will be
Maximum bad debt payment Alex can maintain without being in credit overload A = take home pay of Alex x percentage of maximum debt payment
Substituting the values in the equation , we get
Maximum bad debt payment Alex can maintain without being in credit overload A = 2500 x ( 20/100 )
On simplifying the equation , we get
Maximum bad debt payment Alex can maintain without being in credit overload A = 2500 x 0.20
Maximum bad debt payment Alex can maintain without being in credit overload A = $ 500
Therefore , the value of A is $ 500
Hence , the Maximum bad debt payment is $ 500
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ6
Type the correct answer in each box,
For the sequence (-10,-5, 0, 5, 10, 15, 20,...), the index starts at 1,
In the sequence, the index of I Is 1. When n = 5, the corresponding term in the sequence is
Answers
Answer:
The [tex]n^{th}[/tex] sequence aₙ = -15 +5n
The fifth term of the sequence
a₅ = 10
Step-by-step explanation:
Step(i):-
Given sequence
-10,-5,0,5,10,15,20,.....
The first term = -10
The difference of two terms in the given sequence is equal
d = -5-(-10) = -5 + 10 = 5
d = 0 -(-5) = 5
The given sequence is in arithmetic progression
Step(ii):-
The [tex]n^{th}[/tex] sequence
[tex]a_{n} = a+(n-1) d[/tex]
aₙ = -10 +(n-1) 5
aₙ = -10 + 5n -5
aₙ = -15 +5n
Step(iii):-
The [tex]n^{th}[/tex] sequence aₙ = -15 +5n
put n = 5
a₅ = -15 + 5(5) = -15 +25 = 10
Final answer:-
The [tex]n^{th}[/tex] sequence aₙ = -15 +5n
The fifth term of the sequence
a₅ = 10
Answer:
The sequence starts with -10, and the index starts at 1. So, the index of -10 is 1.
n = 5 refers to the fifth term of the sequence, which is 10.
Step-by-step explanation:
Plato Answer
Cali bought a sweater priced a $60. If the sales tax is 9% what is the total purchase price of the sweater?
Answers
Answer:
65.4
Step-by-step explanation:
60*.09 = 5.4
60+5.4 = 65.4
3х + 5 + 2х
Simplifying variable expressions
Answers
Answer:
3
х
+
5
+
2
х
5
х
+
5
Solution
5
х
+
5
Step-by-step explanation:
Genie has 100 feet of fence with which to make a rectangular cage for her rabbit. If she uses the wall of her house as one side
Answers
Answer:
-2(15)²+100(15) = -450+1500 = 950 ft²Step-by-step explanation:
(she has enough fence for this) I hope it's help youwhat is the equation in slope-intercept form, of the line prependicular to y= -3/5x +6 that passes through the point with coordinants (12,25)
Answers
Answer:
y=5/3x+5
Step-by-step explanation:
change slope in equation given to the negative reciprocal since the line is perpendicular:
-3/5 to 5/3
put values into point slope form y-y1=m(x-x1)
y1 = y in the point given, which is 25
m = slope, which is 5/3
x1 = x in point given, which is 12
y-25=5/3(x-12)
then solve for slope intercept form y=mx+b to get
y=5/3x+5
At what corridnate point do y= 1/2 x + 4 and x + 4y = 4 intersect.
Answers
Answer:
(-4;2)
Step-by-step explanation:
1. if y=1/2 x+4, then 2y=x+8; it is possible to re-write as x-2y+8=0;
2. if x+4y=4, it is possible to re-write it as x+4y-4=0;
3. if x-2y+8=0 and x+4y-4=0, then x-2y+8=x+4y-4; ⇒ -2y+8=4y-4; ⇒ 6y=12; ⇔ y=2.
4. if y=2, then it is possible to substitute its value into any equation given in the condition:
x+4y=4 (substitution y=2); ⇒ x+8=4; ⇒ x= -4.
5. finally x= -4; y=2. It means (-4;2)
PS. the suggested solution is not the only way to resolve this task.
Bob built birdhouses to sell at the craft fair for $8.00 each. He had to spend $40 for materials . Which inequality represents the number of bird houses he must sell to make more than $ 200?
Answers
Answer:
8x - 40 > 200
Step-by-step explanation:
2,325 divided by 15 equals what I’m really confused ?)
Answers
Answer:
155
Step-by-step explanation:
A pair of jeans is on sale 20% off. The sale price is $32. What is the regular price?
Answers
Saved amount: $8.00
Brainliest plz plz plz
Answers
Answer:
10/12
Step-by-step explanation:
Help pls thank u 48 points
Answers
Answer: x = -160/7
You're welcome!!!
A market research firm studied the waiting time to order drinks during breakfast time at drive-thru in two coffee shop chains. For a sample of 30 locations of chain A, the sample standard deviation of waiting time was 21.2 seconds, and for a sample of 28 locations of chain B, the sample standard deviation was 31.4 seconds. Do these data suggest that the waiting time is more consistent in chain A
Answers
Answer:
Yes
Step-by-step explanation:
Given that :
CHAIN A:
Sample size n1 = 30
Sample standard deviation of waiting time s1 = 21.2
CHAIN B:
Sample size, n2 = 28
Sample standard deviation of waiting time s2 = 31.4
Null hypothesis H0: s1 = s2
Alternative hypothesis H1: s1 < s2
Test statistic ; Ftest : s1² / s2²
Ftest = 21.2^2 / 31.4^2
= 0.4558399
P value from F statistic : = 0.02 (using p value calculator)
Since the pval < 0.05
Then we reject the Null ; Chain A waiting time is more consistent
HELPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answers
2x+2x+2x= 180 (that’s how much a triangle is)
6x=180 divide both sides by 6
x= 30
each side is 60 degrees
What is the equation of the line that contains point (6, 4) and is parallel to line m?
A) y=-2x+16
B)y=2x-8
C)y=-1/2x+7
D)y=1/2x+1
PLEASE HELPPP !!
Answers
Answer:
d?.............................