The angle of depression of a boat from three quarters of a vertical pole is 35º. If the boat is 120 m from the foot of the pole, calculate the height of the pole.
Answers
Answer:
112 m
Step-by-step explanation:
The angle of depression from the pole position is the same as the angle of elevation from the boat position. So, the problem statement gives us an angle and horizontal and vertical legs of a right triangle. The relation between them is given by the tangent function.
Tan = Opposite/Adjacent
If we let (3/4h) represent the length of the side opposite the given angle, and 120 m the side adjacent, we have ...
tan(35°) = (3/4h)/(120 m)
Multiplying by the inverse of the coefficient of h, we get ...
h = (160 m)tan(35°) ≈ 112 m
The height of the pole is about 112 meters.
Related Questions
Ian says that if x < y, then | x | < | y |. Give one example where Ian's statement is true. Then provide one example that proves Ian's statement is not always true. hurry please! ill give brainliest
Answers
Solution:
Proving that Ian is not always true:
|x| < |y| (x and y must be positive)=> |-5| < |-4|=> 5 < 4 (False)Proving that Ian is sometimes true:
|x| < |y| (x and y must be positive)|4| < |5| 4 < 5 (True)This proves that:
If x and y are positive, Ian's statement will be true. If x and y are negative, Ian's statement will be false.If the exterior angle of a regular polygon is 7.2 degrees, what is the name of that polygon?
Answer choices:
25-gon
Heptagon
50-gon
Hexagon
Answers
A regular polygon with exterior angle of 7.2 degrees is a 50-gon.
Regular polygonRegular polygon are polygon that are equiangular. This simply means they are polygon with equal angles.
The formula to find the number of sides of a polygon using exterior angle is as follows:
exterior angle = 360 / nwhere
n = number of sides
Therefore,
7.2 = 360 / n
cross multiply
7.2n = 360
divide both sides by 7.2
n = 360 / 7.2
n = 50
The polygon has 50 sides. Therefore, it is a 50-gon
learn more on polygon here: https://brainly.com/question/12105506
Of the following, which statement or statements accurately reflect a way in which credit can be safer than cash? I. If your credit card gets stolen, you can cancel it and get your money back. II. It is harder to lose a single credit card than a large number of bills. III. If a merchant does not honor the agreement, you can call the credit company and dispute the charges. A. I and III b. II only c. III only d. I, II, and III.
Answers
The statements, which accurately reflect a way in which credit can be safer than cash are statement I and III. Option A is correct.
What is credit card way of payment?Credit card is the card issued by the bank which can be used to borrow funds from the bank in order to make the payment of different bills.
Lets, check all the statement.
I. If your credit card gets stolen, you can cancel it and get your money back-This statement is the correct. Whenever the credit card gets stolen or lost, it can be cancelled. This feature makes it safer than the cash.II. It is harder to lose a single credit card than many bills-No, it is easy to lose a single credit cart than many bills.III. If a merchant does not honor the agreement, you can call the credit company and dispute the charges-Yes, with the credit card, if the delivery of an item is not done, then one can easily call credit company to dispute the charges.Thus, the statements, which accurately reflect a way in which credit can be safer than cash are statement I and III. Option A is correct.
Learn more about the credit card here;
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Answer:
A
Step-by-step explanation:
edge
please answer
u dont need a explanation
Answers
The answer is D
Hope this helped
Determine whether it is possible to form a triangle with the given side lengths.
AB= 4 cm, BC= 6 cm, AC= 12 cm
Answers
Answer:
No, not possibleStep-by-step explanation:
According to triangle inequality, any side is less than the sum of the other two:
AB + BC > ACWe see contradiction with above when values substituted:
4 + 6 = 10 < 12It means we can't form a triangle with given sides
Find the common ratio of the geometric sequence. 9,-18, 36, -72
Answers
Answer:
according to me its just multiplying with the number ( -2)
like 9×(-2) = -18
36×(-2) = -72
r=-2
try to observe the following solution
Two angles of a triangle measure 75° and 40°. What is the degree measure of the third angle?
Answers
Answer:
the angles of a triangle always equal 180 so
75+40+x=180
115+x=180
-115
x=65
the other angle is 65
Hope This Helps!!!
65°
Step-by-step explanation:
let the third angle be x
so, sum of all angles of a triangle = 180°
x° + 75° + 40° = 180°
x + 115° = 180°
x = 180° - 115°
x = 65°
Hope it helps you!!30 points pls answer
Answers
So simplified it’s (x-5)^2+(y+7)^2=36
Priya spends $42 a week on coffee and donuts across 5 days. She
spends the same amount on doughnuts each day. If she spends 30 dollars on coffee, how much does
she spend on doughnuts each day?
Pls help
Answers
If she spends $42 a week on coffee and every day she spends the same amount (I don't see this in the question, only doughnuts.), then $30 can get her 30 : 42 = 5/7 of a week of coffee -> 5 days.
So, she spends 5 days on coffee -> she must also spend 5 days on doughnuts
And since she spends 30 dollars equally everyday, she spends 30 : 5 = $6 everyday on doughnuts
A bag contains 2 blue marbles, 2 red marbles, and 2 yellow marbles.
If Jenna randomly draws a marble from the bag (and puts it back) 15 times, how many times should she expect to pull a yellow marble?
Enter your answer as a number, like this: 42
Answers
Answer:
a number, like this 42
Step-by-step explanation:
you kinda told me to put that lol. no the answer should me 15
the mean of 6 numbers is 35 what is the sum of the mumbers
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[tex]35 * 6 = 210\\210 / 6 = 35mean[/tex]
Therefore, out of one of the many ways to solve this, I found 35.
solve the triangle
a
b
c
d
Answers
Answer:
B
Step-by-step explanation:
Use the Law of Cosines to find the measure of segment c:
[tex]c=\sqrt{a^2+b^2-2ab*cos(C)}\\\\c=\sqrt{12^2+13^2-2(12)(13)*cos(134)}\\\\c=\sqrt{313-312cos(134)}\\\\c=\sqrt{313-312(-.6946583705)}\\\\c=\sqrt{313-(-216.7334116)}\\\\c=\sqrt{313+216.7334116}\\\\c=\sqrt{529.7334116}\\[/tex]
c ≈ 23.01593821 km ≈ 23 km
Since c = 23 km, our only options are choices B and D. Now, let's find the measure of angle A to confirm. To do this we will use the Law of Sines:
[tex]\frac{sin(A)}{a} =\frac{sin(C)}{c} \\\\\frac{sin(A)}{12}=\frac{sin(134)}{23.01593821}\\\\sin(A)=12(\frac{sin(134)}{23.01593821})\\\\A=sin^{-1}[12(\frac{sin(134)}{23.01593821})]\\\\[/tex]
A ≈ 22.02726885° ≈ 22°
Since the measure of c = 23 km and the measure of angle A = 22°, the answer must be choice B.
Solve the system of equations. x + y = 8; y = x2 – 4
(3, 5) and (–4, 12)
(–3, 11) and (4, 4)
(4, 4) and (5, 3)
(12, –4) and (7, 1)
Answers
Answer:
(3, 5) and (-4, 12)
Step-by-step explanation:
To solve this system of equations, we'll use the substitution method.
Plug in the given y = x² - 4 into the other equation
x + x² - 4 = 8
Subtract 8 from both sides
x² + x - 4 = 8
- 8 - 8
x² + x - 12 = 0
Factor out the equation
x² + x - 12 = (x + 4)(x - 3) = 0
For the equation to be 0, x will have to equal -4 and 3
Now plug in the new x's into one of the original equations
We'll use y = x² - 4
y = (-4)² - 4 = 16 - 4 = 12
y = 3² - 4 = 9 - 4 = 5
When x = -4, y = 12, so one of the answers is (-4, 12)
When x = 3, y - 5, so one of the answers is (3, 5)
Answer:
A. (3, 5) and (–4, 12)
Step-by-step explanation:
I took the Algebra exam
4.1
Determine between which two whole numbers lies square root of 20
Answers
The square root of 20 is between 4 and 5.
Whole NumbersThey are the numbers represented by positive real numbers where the fractions and decimal numbers are not included.
For solving this question, you should list the whole numbers whose your square is less than 30. Your list must present the following numbers:
0 ⇒ 0²=0
1 ⇒ 1²=1
2 ⇒ 2²=4
3 ⇒3²=9
4 ⇒ 4²=16
5 ⇒ 5²=25
Note that 6²=36, it is greater than 30,because of this it is not in the previous list.
The question asks to determine between which two whole numbers lies the square root of 20. Therefore, from the previous list, it is possible to see that the value 20 is between 16 and 25. The square root of 16 and 25 is equal to 4 and 5, respectively.
Thus, the square root of 20 is between 4 and 5. You can check this results in your calculator:[tex]\sqrt{20}=2\sqrt{5}=4.47[/tex]
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Gabriel used the expression 2. 5x 2y – 2 to represent his total cost, and 28 – 2. 5x – 2y to represent the amount of change he should receive from $30. What was Gabriel’s error?
Answers
The error made by the Gabriel in calculating the change amount, is that he subtract the $2 instead of adding $2.
What is algebraic expression?
Algebraic expression are the expression which consist the variables, coefficients of variables and constants.
The algebraic expression are used represent the general problem in the mathematical way to solve them.
The expression used by the Gabriel to represent his total cost is,
[tex]2.5x+2y - 2[/tex]
As, Gabriel has to receive the change amount of $30. Thus, he has to subtract this amount from the total cost. This statement can be present as,
[tex]\rm Change=30-(2.5x+2y - 2)\\\rm Change=30-2.5x-2y + 2\\\rm Change=32-2.5x-2y[/tex]
Now, the expression used by him to represent the amount of change he should receive from $30 is,
[tex]28 -2.5x - 2y[/tex]
Hence, the error made by the Gabriel in calculating the change amount, is that he subtract the $2 instead of adding $2.
Learn more about the algebraic expression here;
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Anyone know how to do this ????
Answers
There you go. Hope this helps.
E. It costs $1.50 per hour to dry clothes at a laundromat. The rate per hour is $1.50 (slope) and the beginning point is 0 (y-intercept). Write a linear equation in y = mx + b form to represent the total cost.
Answers
Answer:
y=1.5x
b is the y intercept but it is 0 so no need to add it. y is the result
Each side of a sandbox is 4 feet long. It will cost $1.87 per square foot to replace the sand in the sandbox. What would be the total cost to replace the sand?
Answers
Answer:
$29.92
Step-by-step explanation:
area = 16
16 x 1.87 = total cost
You decide to treat your family to dinner. Everyone wants wings, so you open up your Uber Eats app. The bill comes out to $59. 99. There is a 3% service fee and you tip 20%. How much have you paid all together if there is also 7% tax?.
Answers
The paid amount including service fee, tip, and tax is $77.987.
what is the percentage?the percentage is value per hundred.
bill value = $59.99
service fee = 3% of $59.99 = 59.99*3/100 = $1.7997
tip = 20% of 59.99 = $11.998
tax = 7 % of $59.99 = $4.1993
total payment = 59.99+1.7997+11.998+4.1993 = $77.987
therefore, the paid amount including service fee, tip, and tax is $77.987.
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please help asap
I put a photo
Answers
Answer: try asking a parent or teacher
Step-by-step explanation: try asking a trusted adult or teacher to try to figure out how
Which statement is TRUE when interpreting the ratio of out-of-state fans attending the game to the total number of fans attending? A) 32 out of every 79 fans attending were out-of-state fans B) 47 out of every 79 fans attending were out-of-state fans C) more than 47 out of every 79 fans attending were out-of-state fans D) at least 32 out of every 79 fans attending were out-of-state fans
Answers
Answer:
i believe it is either A/B but i think A
Step-by-step explanation:
math... if u teach how to give brainiest I WILL GIVE BRAINLEIST
Answers
Answer:
C
Step-by-step explanation:
Because They Have $20. They need to have $160. 160-20= $140
**WILL GIVE BRAINLIEST! PLS HELP :)**
Answers
Answer:
a = 16
b = 10
c = 19
d = 3
Step-by-step explanation:
For a, we know that 60 is 12+a+a+a, and to find what a is, we subtract 12 from 60, so that 48=3a, so 48 is a times 3. dividing 48 by 3 gives a=16
For b, we know that 60 is 4(b+5), dividing both sides by 4, 15=b+5. Subtracting 5 from both sides, b=10
For c, we know that a+b+c=3(b+5), or 16+10+c=45, subtracting 26 from each side, c=19
For d, we know that 3c+d=60, or (19*3)+d=60. simplifying, 57+d=60. subtraction 57 from each side gives d=3
Kylie works at a local music store. The store receives a shipment of new CDs in a box. In the shipment, there are 10 country CDs, 5 rock CDs, 12 hip hop CDs, and 3 jazz CDs.
What is the probability that the first CD that Kylie pulls from the box will NOT be hip hop?
Answers
Answer:
Total number of CDs= 10+5+12+3=30
Number of jazz CD= 3
Total number of outcomes that Kyle will select a jazz CD from the box= 3C1= 3!/1!2!= 3
Total number of outcomes for any CD = 30C1 = 30!/1$29! =30
Hence, the probability of picking jazz CD =3/30 = 1/10 0.1
Now since, one CD is out, the total number of CD left = 29
No. of country CD= 10
Total number of outcomes that Kyle will select a country CD from the box= 10C1= 10!/1!9!= 10
Total number of outcomes for any CD(one is out) = 29C1 = 29!/1$28! =29
Hence, the probability of picking country CD =10/29 = 0.344827
Step-by-step explanation:
Question:
A baseball stadium has a fixed cost of $12,000 per night game. In addition, there is a total cost of $2 for each
fan that attends the game that evening. If the total cost to the stadium that night was $30,000, how many
people attended the game?
A
O 10,000
O 8,000
O 7,000
0 9000
Answers
Answer:
O 10,000
Step-by-step explanation:
because i guessed lol
Question is depicted below:
Answers
Solution:
Solve the system of equations to find the value of y.
10x + 10y = 405x + 3y = 8
10x + 10y = 402(5x + 3y = 8)
10x + 10y = 4010x + 6y = 16
4y = 24y = 6Substitute the value of y into any equation to find the value of x.
10x + 10y = 40=> 10x + 10(6) = 40=> 10x + 60 = 40=> 10x = -20=> x = -2Putting them in (x,y) form.
(x,y) ⇒ (x = -2,y = 6) ⇒ (-2,6)Find the equation of the line that contains the points (3,-2)
and (3,2).
A y = 2
By
B y = -2
C x= 3
D x = 0
Answers
Answer:
How do you find an equation of a line containing the point (3, 2), and parallel to the line y - 2 = (2/3)x? First, we must find the slope of the equation in the problem by transforming the equation to the slope-intercept form. The slope-intercept form of a linear equation is: y = mx + b Where m is the slope and b is the y-intercept value.
Step-by-step explanation:
which of the following represents the graph of the function f(x)=log3X+2
Answers
Answer:
Attached
Step-by-step explanation:
Graph the function.
f(x) = sin (pi*x/2)
Answers
Answer: is shown in the image blew
Step-by-step explanation:
Find a formula for the n th term, T n , of the following arithmetic sequence: − 10 , − 22 , − 34 , − 46 ,. . . Hence, or otherwise, find the value of the 40th term, T 40
Answers
Answer:
T(40) = -478
Step-by-step explanation:
The first term is -10, that means a = -10
The difference between to first and second term is -12.
Therefore, d = -12.
We may set up the A.S. equation now:
T(n) = a + (n-1)d = -10 + (n-1)(-12)
Now plug in n = 40:
T(40) = -10 + (40-1)(-12) = -478
