DESDE LA PARTE ALTA DE UN MURO DE 8M DE ALTURA SE OBSERVA LAS PARTE BAJA Y ALTA DE UN EDIFICIO CON ANGULOS DE ELEVACION Y DEPRESION DE 37 Y 45 RESPECTIVAMENTE. CALCULA LA ALTURA DEL EDIFICIO A.18 B.14 C.12 D.24 E.16
Answers
Answer:
The height of the building is approximately 18 meters.
Step-by-step explanation:
The question is:
FROM THE HIGH PART OF A WALL OF 8M HEIGHT, YOU CAN SEE THE LOW AND HIGH PART OF A BUILDING WITH ELEVATION AND DEPRESSION ANGLES OF 37° AND 45° RESPECTIVELY. CALCULATE THE HEIGHT OF THE BUILDING A.18 B.14 C.12 D.24 E.16
Solution:
Consider the diagram below.
Consider the triangle ABC.
Compute the value of y as follows:
[tex]tan\ 37^{o}=\frac{AB}{BC}[/tex]
[tex]0.754=\frac{8}{y}[/tex]
[tex]y=\frac{8}{0.754}[/tex]
[tex]=10.61\\\approx 11[/tex]
Thus, the length of side AD is also 11 meters.
Now consider the triangle AED.
Compute the value of x as follows:
[tex]tan\ 45^{o}=\frac{AE}{ED}[/tex]
[tex]1=\frac{11}{x}[/tex]
[tex]x=11[/tex]
Then the height of the building is:
[tex]\text{Height of the Building}=x+8[/tex]
[tex]=11+8\\=19[/tex]
From the options provided it can be concluded that the height of the building is approximately 18 meters.
Related Questions
Joe and Nate went for a walk. The system representing each boy’s progress is graphed below. A graph titled Joe and Nate's progress has minutes since noon on the x-axis and miles from Joe's house on the y-axis. A line labeled Joe's progress goes through (10, 1) and (20, 2). A line labeled Nate's Progress goes through (0, 5) and (30, 3). Which statements about the system and scenario are true? Check all that apply. Nate starts 5 miles away from Joe’s house and gets closer as he walks because the y-intercept is 5 and his distance is decreasing. Nate walks at a negative speed because the slope of his line is negative. Joe walks at 1 mile per hour because the line representing his progress rises 1 for every 1 it runs. Nate walks at rate of 2 miles every 30 minutes because the difference in distance is 2 miles for every 30 minutes of time. Joe is walking faster than Nate because his line is steeper, meaning the distance he travels is changing more quickly.
Answers
Answer:
A,D E
Step-by-step explanation:
I took the quiz-ur welcome.
Dont forget to rate and thanks!
Answer:
A,D E
Step-by-step explanation:
the amount $3:80 is 4% of what price?
Please in need the answer asap
$7.80
$15.20
$95.00
$97.20
Answers
Answer: C) $95
Step-by-step explanation:
4% is 4/100. Thus, simply divide 3.80 by 4/100 to get $95.00.
Hope it helps <3
What are the solution(s) to the quadratic equation 40 – x2 = 0?
O x= +2/10
O x = +4/10
O x = +2/5
O x = +4,5
Help please it’s timed :)
Answers
Answer:
The answer is 2 root 10.
hope it helps..
Answer:
x = ±2[tex]\sqrt{10}[/tex].
Step-by-step explanation:
40 - x^2 = 0
Subtract 40 from both sides
-x^2 = -40
Divide both sides by -1
x^2 = 40
Find the square root of both sides
x = ±[tex]\sqrt{40}[/tex]
x = ±[tex]\sqrt{2 * 2 * 2 * 5}[/tex]
x = ±[tex]\sqrt{2^2 * 2 * 5}[/tex]
x = ±2[tex]\sqrt{2 * 5}[/tex]
x = ±2[tex]\sqrt{10}[/tex]
Hope this helps!
the domain of y=x^3 is
Answers
Answer:
This is a basic cubic function- thus the domain is all real numbers. You could think about domain as the possible x values for a graph. Since this cubic function extends from x=negative infinity to x=positive infinity, the range is all real numbers, or (-infinite, infinite) if you are told to write in interval notation.
Hope this helps!
The domain of [tex]y= x^{3}[/tex] are all real numbers, or R due to the fact that [tex]x^{3}[/tex] is a polynomial, which means its domain is R too.
Solution:
The domain of a particular expression is all real numbers except in the place where expression is undefined. The domain of any graph includes all the x-values that are solutions.
Interval Notation:
(-
Set-Builder Notation:
{x|x ∈R}
Determine the domain from the graph:
Thus, the domain of is:
(−∞,∞), {x|x∈R}
Learn more about the domain of polynomial:
https://brainly.com/question/12324899
Which of the following represents the translation of M (8,-2) along vector<-5, 1 > and its reflection
across the y-axis?
Answers
Step-by-step explanation:
M(8.-2), M'(x,y) , [tex]$$\overrightarrow{v}[/tex] =(-5,1)
[tex]$$\overrightarrow{MM'} = $$\overrightarrow{v}[/tex]
--> x - 8 = -5 --> x= 3
---> y+2 = 1 --> y =-1
so M'(3,-1) and its reflection y-axis is (-3,-1)
The correct representation of given transformations is [tex]\bold{M(8,-2)\rightarrow M'(3,-1)\rightarrow M''(-3,-1)}[/tex]
What is translation?"A translation is a geometric transformation where a geometrical figure is moved from one location to another location without changing its size, shape or orientation."
What is vector?"A vector is a quantity or phenomenon that has magnitude and direction."
To find the vector from point P(a ,b) and Q(m, n)
[tex]\overrightarrow{PQ}= < m-a,n-b >[/tex]
We have been given that, the translation of M (8,-2) along vector<-5, 1 >
Let (x, y) represents the translated point along <-5, 1>
This means, <-5, 1> = <x-8, y-(-2)>
⇒ x - 8 = -5
⇒ x = -5 + 8
⇒ x = 3
Also, y + 2 = 1
⇒ y = 1 - 2
⇒ y = -1
So, the translated point is (3, -1)
The reflection of (3, -1) along y-axis is (-3, -1) .
Hence the correct representation of transformations is[tex]\bold{M(8,-2)\rightarrow M'(3,-1)\rightarrow M''(-3,-1)}[/tex] that is, option (C)
Learn more about geometric transformation here:
https://brainly.com/question/15222136
#SPJ2
3(4-2) help please thank you
Answers
Explanation:
3(4-2) = 3(2) = 6
━━━━━━━☆☆━━━━━━━
▹ Answer
6
▹ Step-by-Step Explanation
Follow PEMDAS:
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
3(4 - 2)
3(2)
= 6
Hope this helps!
CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
. A law firm is run by four partners (A; B; C; D) . Each partner has one vote and decisions are made by majority rule, but in the case of a 2-2 tie, the coalition with A (the senior partner) wins.
Answers
Answer:
1) (ABCD) (ABC) (ABD) (ACD) (BCD) (AB) (AC) (AD)
2) A= 0.5000; B = 0.1667; C = 0.1667; D = 0.1667
Step-by-step explanation:
The questions are missing and should be
1) List all the winning coalitions in this voting system and the critical players in each.
2) Find the Banzhaf power index of this law firm.
1) Any combination of three partners, four partners, or a combination with two partners containing A is a winning coalition:
(ABCD) (ABC) (ABD) (ACD) (BCD) (AB) (AC) (AD)
2) The Banzhaf power index for each partner is given by the number of outcomes that said partner has a swing vote, divided by the number of possible swing vote situations.
Partners B, C, D will only have swing votes (change the outcome of the voting) when they are all in the same coalition, or when they are alone in a coalition with partner A:
[tex]B_B=2\\B_C=2\\B_D=2[/tex]
As for partner A, they will only be powerless to change the outcome when all of the other partners are in the same coalition (2 out of 8 possible combinations):
[tex]B_A=6\\[/tex]
The Banzhaf power index for each partner is:
[tex]B=\frac{2}{2+2+2+6}=0.1667\\C=\frac{2}{2+2+2+6}=0.1667 \\D=\frac{2}{2+2+2+6}=0.1667 \\A=\frac{6}{2+2+2+6}=0.5000[/tex]
In the exam paper there are 12 questions. You will be rewarded 5 marks for each correct answer and will be deducted 2 marks if answered wrongly. Now Thurka scored 32 marks in the exam. So how many questions she did wrongly?
Answers
Answer:
Thurka got 8 questions right and 4 wrong.
Step-by-step explanation:
Thurka got "x" questions right and "y" questions wrong, therefore the sum of these questions must be equal to the total number of questions in that exam, which would be 12, therefore:
[tex]x + y = 12[/tex]
Since for each right question Thurka got 5 marks and for each wrong one 2 marks, then the total score can be written as:
[tex]5*x - 2*y = 32[/tex]
Solving the system of equations would give us the number of right and wrong questions.
[tex]\left \{ {{x + y=12} \atop {5*x-2*y=32}} \right.[/tex]
[tex]\left \{ {{2*x + 2*y=24} \atop {5*x - 2*y=32}} \right.[/tex]
[tex]7*x = 56\\x = \frac{56}{7} = 8[/tex]
[tex]y = 12 - x = 12 - 8 = 4[/tex]
Thurka got 8 questions right and 4 wrong.
Deshaun is fertilizing his garden. The garden is in the shape of a rectangle. Its length is 14 feet and its width is 11 feet. Suppose each bag of fertilizer covers 22 square feet. How many bags will he need to cover the garden?
Answers
Answer:
length x width = area
14 x 11 = 154
154 / 22 = 7 fertilizer needed
Hope this helps
Step-by-step explanation:
Find the Measure of Angle C.
Answers
Answer:
42 degrees
Step-by-step explanation:
The triangle is a right triangle and the angles must equal 180
so 48 plus 90 equals 138 and 180 minus 138 equale
42
Answer:
66
Step-by-step explanation:
First, he needs to run to the store. To get to the store from his apartment, he can walk 1.2 miles North and 0.5 miles East along the sidewalks. Or, he can cut through the city to get from his apartment to the store along a single straight line. Walking on the sidewalks, Henry walks 6 miles/hour. Cutting through the city, Henry can only walk 3.5 miles/hour.
Answers
Answer:
If Henry walks along the sidewalks, he will walk 1.7 miles in total. It will take him 17 minutes to reach the store and another 17 minutes to come back.
If Henry cuts through the city, he will walk √(1.2² + 0.5²) = 1.3 miles in total. It will take him 22.3 minutes to reach the store and another 22.3 minutes to come back.
Even though Henry will need to walk a longer distance if he walks along the sidewalks, he will be able to reach the store and back back in a shorter time than if he cuts through the city.
Gear A makes 2 revolutions for every 5 revolutions gear B makes. If gear A makes 36 revolutions in 1 minute, then how many revolutions does gear B make in 1 minute?
Answers
This month the company reported an increase in profit of 25%. If the company made $45,000 last month, how much did they make this month? A. $5,400 B. $5,625 C. $54,000 D. $56,250
Answers
Answer:
D. $56,250
Step-by-step explanation:
Calculate the increase.
45000 × (1 + 25%)
45000 × 1.25
= 56,250
They made $56,250 this month.
Answer:
D
Step-by-step explanation:
At a certain time of day, a 30-foot building casts a 10 foot shadow. How tall is a person who casts a 2 foot shadow? A. 4 feet B. 5 feet C. 6 feet D. 7 feet
Answers
Answer:
6 ft
Step-by-step explanation:
We can use ratios to solve
30 ft tall x ft tall
------------------ = ------------------
10 ft shadow 2 ft shadow
Using cross products
30 * 2 = 10x
60 = 10x
Divide by 10
60/10 = 10x/10
6 =x
Sheila either walks or cycles to school
The probability thats she walks to school is 0.65
If she walks the probability she is late is 0.4
If she cycles, the probability she is late is 0.1
Work out the probability that on any day Sheila will not be late to school
Answers
Answer: 0.705
Hello!
________________________
Sheila either walks or cycles to school the probability that she walks to school is 0.705
Step-by-step explanation:
Probability she walks and is not late = 0.65 * 0.60 = 0.39.
Probability she cycles and is not late = 0.35*0.9 = 0.315
Therefore P(not late) = 0.39 + 0.315 = 0.705
Hope this helped you!
II NEED THIS ASAP WILL GIVE BRAINLIEST Which number line correctly shows –3 – 1.5? A number line going from negative 4.5 to positive 4.5. An arrow goes from 0 to negative 3 and from negative 3 to negative 4.5. A number line going from negative 4.5 to positive 4.5. An arrow goes from 0 to 3 and from 3 to 4.5. A number line going from negative 4.5 to positive 4.5. An arrow goes from negative 3 to negative 1.5 and from 0 to negative 3. A number line going from negative 4.5 to positive 4.5. An arrow goes from negative 1.5 to 1.5 and from 0 to negative 1.5.
Answers
Answer:
An arrow that goes from 0 to negative 3 and from negative three to 4.5
Give me brainliest,5stars,and thanks plz!
Answer:
arrow goes from negative 3 to negative 1.5 and from 0 to negative 3
Step-by-step explanation:
Can someone help me please
Answers
Answer:
[tex]a_{n} = 12 -3(n-1)[/tex]
Step-by-step explanation:
[tex]a_{1} = 12\\a_{n} = a_{n-1} - 3[/tex]
we have to find formula for nth term of series for this problem
[tex]a_{1} = 12\\a_{2} = a_{2-1} - 3 = a_{1} -3 = 12 -3 = 9\\a_{3} = a_{3-1} - 3 = a_{2} -3 = 9 -3 = 6[/tex]
Thus, we see series is 12, 9 ,6
Thus, we can see that series is decreasing by unit of 3.
and we know that when there is in increase or decrease in series by a a constant number then series is arithmetic progression series.
Hence, this is a decreasing AP series
In AP
nth term is given
nth term = a+(n-1)d
where a is the first term
d is the common difference
common difference is given by = nth term - (n-)th term
lets take 2nd and 1st term to get common difference.
d = 9-12 = -3
(note: this was obvious by looking at series itself that d is -3 as series was decreasing by 3 unit)
a = 12
thus, nth term = a +(n-1)d
nth term = 12 +(n-1)(-3)
nth term = 12 -3(n-1)
writing this in form of [tex]a_{n}[/tex]
[tex]a_{n} = 12 -3(n-1)[/tex] Answer
Find the surface area of a cylinder with radius r = 6 and height h = 14.8 to the nearest tenth of a square cm. Use π = 3.14
Answers
Answer:
783.7 square units
Step-by-step explanation:
The formula for the surface area of a cylinder is ...
A = 2πr^2 + 2πrh = 2πr(r +h)
Using the given numbers, the area is ...
A = 2(3.14)(6)(6 +14.8) = 783.7 . . . square units
Answer:
About 783.7 square cm.
Step-by-step explanation:
The formula for the surface area of a cylinder is (2 * pi *r^2) + (2 * pi * r * h).
(2 * 3.14 * 6^2) + (2 * 3.14 * 6 * 14.8) = (2 * 3.14 * 36) + (2 * 3.14 * 6 * 14.8) = 6.28 * 36 + 6.28 * 88.8 = 226.08 + 557.664 = 783.744.
So, the surface area of the cylinder is about 783.7 square centimetres.
Hope this helps!
Write these as normal numbers.
a)
5.1 x 108
b)
9.6 x 10°
c)
2.44 10
d)
5.023 1010
Answers
Answer:
Step-by-step explanation:
5.1 × 108 = 550.8
9.6 × 10^0
10^0 = 1
9.6 × 1 = 9.4
2.44 × 10 = 24.4
5.023 × 1010 = 5073.23
Below is the graph of a polynomial. which statement about this graph is true?
Answers
Answer:
c: the point -2,-4 is minimum
Step-by-step explanation:
PLEASE HELP MEEEEEEEEEEEEEEEEE
Answers
Answer:
A- 5 banners
B- 2 banners
C- 2 banners
D- Shade banner 2
1. Solve 2r - 15 = -9r + 18.
a.) r = -0.3
b.)r = -3
c.)r = 0.3
d.)r = 3
Answers
Answer:
D
Step-by-step explanation:
11r = 33
r = 3
Answer
D
Step-by-step explanation:
cancel out -9r on the right side by adding it to the left side. so then you get 11r-15=18 . then add 15 to the right to get 11r by itself . you'll get 11r=33 . divide both sides by 11 and you'll get r=3 ! :)
The table below shows the possible outcomes of rolling a six-sided number cube and flipping a coin. What is the probability of getting a number less than 3 and a tails?
Answers
Answer: the probability of getting a number less than 3 and tails is P 1/6
Step-by-step explanation:
Assuming that the dice and the coin are normal ones, we can expect that the probability for each outcome is about the same.
For the coin we have 2 outcomes, heads and tails, then each outcome has a probability of 1/2
The dice has 6 outcomes, and each outcome has a probability of 1/6.
Then the probability of rolling a number less than 3 is equal to the probability of rolling a 1 plus the probability of rolling a 2.
P1 + P2 = 1/6 + 1/6 = 2/6 = 1/3.
The probability of getting tails with the coin is 1/2.
Now, the joint for both events is equal to the product of the probabilities of each event, this is:
P = (1/3)*(1/2) = 1/6
Answer:
1/6
Step-by-step explanation:
got it right on edge
Which point is a solution to the system;
2x + 2y = 18
-2x - 2y=-6
a
(3,5)
None of these
b
С
d
(1, 2)
(0,3)
(9,0)
e
Answers
Answer:
None of the listed
Step-by-step explanation:
[tex]Solve-for ;x -in\\ 2x+2y =18\\x = 9-y\\Substitute , 9-y -for ,x- in -2x-2y=-6\\-2(9-y)-2y =-6\\18+2y-2y=-6\\18 = -6\\The -statement- is -false \\Answer ; No -Solution[/tex]
While calculating HCF using index notation, we choose ____________ index of common prime factors.
Answers
Answer:
power index
Step-by-step explanation:
Prime factor index form is expression of a number as product of its prime number. Here the prime factor is listed only once. It is necessary to insert the required power index to solve for the HCF
Your friend says she used a common
denominator to find fractions
equivalent to 2/3 and 8/9 and Is your friend correct explain
correct? Explain.
Answers
Step-by-step explanation:
An equivalent fraction can be found by either multiplying the numerator and denominator by the same number or dividing the numerator and the denominator by the same number.
Ishah spins a fair 5-sided spinner. She then throws a fair coin List all the possible outcomes she could get Ishah spins the spinner and tosses the coin. Work out the probability that she will get a 2 and a head PLZ HELP ITS URGENT WHO EVER WILL GIVE GOOD ANSWER WII GET 50 POINTS AND WOULD BE MARKED AS BRAINLIST
Answers
Answer:
The answer is 2/10 :P
Step-by-step explanation:
We have To list all the possibilities first ! : 1 head, 2 head, 3 head, 4 head, 5 head, 1 tail, 2 tails, 3 tails, 4 tails and 5 tails ! ;)
We have in total 10 possibilities !
So if we want to work out the probability that she will get a 2 and a head, the answer has to be 2/10 because we have 10 possibilities !
I hope I helped you ! :P
very easy trig with pic
Answers
Answer:
1st Option
Step-by-step explanation:
Pythagorean Theorem: a² + b² = c²
Step 1: Find the missing leg
2² + b² = 6²
b² = 36 - 4
b = √32
Step 2: Find cosA
cosA = √32/6
cosA = 4√2/6
cosA = 2√2/3
Ming took a cab across town. His fare was $ 2 2 $22dollar sign, 22, and he leaves an 1 8 % 18%18, percent tip. What is the total amount Ming pays the cab driver?
Answers
Answer: $25.96
Step-by-step explanation:
Fare = $22
Percent tip = 18%
Hi, to answer this question, first we have to multiply the fare paid by the tip percentage in decimal form (divided by 100 ):
Mathematically speaking:
22x (18/100) = 22 x 0.18 = $3.96 (tip amount)
Finally, we have to add the tip amount and the fare:
22 +3.96 = $25.96
Feel free to ask for more if needed or if you did not understand something.
Answer:
ur answer is in the calculator
$25.96
Step-by-step explanation:
multiply $22 by 1.18 or 118 percent
This grid follows two rules.
Rule 1 The sums of each row are equal.
Rule 2 The products of each column are equal.
The grid below follows the same two rules.
Work out the missing numbers.
a =
b =
c =
d =
Answers
Answer:
a = 4,
b = 12
c = 10
d = 15
Step-by-step explanation:
Since the product of each column is equal, therefore,
b*5 = 60
b = 60 ÷ 5 = 12
c*6 = 60
c = 60 ÷ 6 = 10
Since the sum of each column are equal, therefore,
12 + 10 + a = 5 + 6 + d
22 + a = 11 + d
Think of a number you can add to 22, and another number you can add to 11, which will make both sides equal. Add both numbers, whenmultiplied together should give you 60.
Factors of 60 are:
(a, d)
(1, 60) => 22 + a = 11 + d => 22+1 = 11+60 (incorrect)
(2, 30) => 22 + a = 11 + d => 22+2 = 11+30 (incorrect)
(3, 20) => 22 + a = 11 + d => 22+3 = 21+20 (incorrect)
(4, 15) => 22 + a = 11 + d => 22+4 = 11+15 => 26 = 26 [CORRECT]
(5, 12) => 22 + a = 11 + d => 22+5 = 11+12 (incorrect)
(6, 10) => 22 + a = 11 + d => 22+6 = 11+10 (incorrect)
Therefore,
a = 4,
d = 15