Given :
A sailor is 30 m above the water in the crow's nest on a sailboat.
The sailor encounters an orca surface at an angle of depression of 15 degrees.
The crows nest is 20 m horizontally from the bow (front) of the boat.
To Find :
How far in front of the boat is the orca.
Solution :
Let, distance of boat front from the crow's nest is x.
So,
[tex]\dfrac{30}{20+x}=tan \ 15^{\circ}\\\\x=\dfrac{30}{tan \ 15^{\circ}}-20\\\\x=111.94-20\\\\x=91.94\ m[/tex]
Hence, this is the required solution.
What is the distance in coordinate units between 2+6i and -4+3i in the complex plane
Answer:
lafante
Step-by-step explanation:
Distance in co ordinate units is √27 .
Given,
2+6i and -4+3i in the complex plane
To get distance between these numbers we have to find modulus of their difference:
z = z1 - z2 = (-4 + 3i) - (6i + 2) = -6 -3i
So, distance
d = |(-6 -3i)|
Finding the magnitude of the complex plane obtained ,
= √-6² + (-3i)²
=√27 .
Thus the distance between two complex plane is √27 .
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HELP ASAPPPP Aleisha works for a company with over 1,000 employees, of whom 81% have pierced ears. Every year, each employee draws another employee's name and gives them a gift. Let T be the number of names Aleisha draws until she draws an employee's name who does not have pierced ears.
What type of variable is T?
a.Neither
b.Geometric random variable (Do until successful)
c.Binomial random variable (FIXED # of trials before experiment)
Answer: Geometric
Step-by-step explanation:
Because you do trails until it is successful
Sales tax is calculated as a percentage of the sales price. If sales tax is 6%, what is the sales tax on clothing that costs $180? (3 points)
a
$6.00
b
$9.80
c
$10.80
d
$18.60
Answer:
it is c $10.80
The sales tax on clothing that costs $180 is $10.80 with 6% sales tax. The correct answer is option c.
Given that:
The cost of cloth is $180.
Sales tax is 6%.
To calculate the sales tax on clothing that costs $180 at a rate of 6%, follow these steps:
Convert the sales tax rate to a decimal: 6% = 6/100 = 0.06
Sales tax can be calculated by using the formula given below:
Sales tax = Cost of clothing × Tax rate
Multiply the clothing cost by the sales tax rate to find the sales tax amount:
Sales tax = Cost of clothing × Tax rate
Sales tax = $180 × 0.06 = $10.80
Hence, the required value is $10.80. The correct answer is option c.
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The cost of using a telephone in a hotel meeting
room is $0.20 per minute. Which of the following
equations represents the total cost in dollars, for
h hours of phone use?
so its 12 dollars an hour
x means the cost
12(h)= x
Answer:
c = 0.20 (60h)
Step-by-step explanation:
The hotel charges $0.20 per minute to use the meeting‑room phone. This per‑minute rate can be converted to the hourly rate using the conversion 1 hour =60 minutes, as shown in the following equation.
[tex]\frac{0.20}{minute}[/tex] × [tex]\frac{60 minutes}{1 hour}[/tex] =[tex]\frac{0.20 * 60}{hour}[/tex]
Thus, the hotel charges 0.20×60 per hour to use the meeting‑room phone.
Therefore, the cost c, in dollars, for h hours of use is c=(0.20×60)h which is equivalent to c=0.20(60h).
Help me solve this problem please
Answer:
Step-by-step explanation:
d
What is the answer?
2500/x+20
=2500/(48.59)+20
Which steps should be followed to write an equivalent ratio to find 2% of 6700? Write 2% as the ratio StartFraction 200 Over 100 EndFraction. Write the equivalent ratio StartFraction question mark Over 6700 EndFraction. (100)(67) = 6700, so (20)(67) = 1340. Write 2% as the ratio StartFraction 20 Over 100 EndFraction. Write the equivalent ratio StartFraction 6700 Over question mark EndFraction. (20)(335) = 6700, so (100)(335) = 33,500. Write 2% as the ratio StartFraction 2 Over 100 EndFraction. Write the equivalent ratio StartFraction question mark Over 6700 EndFraction. (100)(67) = 6700, so (2)(67) = 134. Write 2% as the ratio StartFraction 2 Over 100 EndFraction. Write the equivalent ratio StartFraction question mark Over 6700 EndFraction. (100)(6.7) = 6700, so (20)(6.7) = 13.4
Answer:
Step-by-step explanation:
To evaluate the expression 2% 0f 6700, we can follow the steps;
2% = 2/100
6700 = 67(100)
2% of 6700 = 2/100 * 67(100)
The 10 at the numerator will cancel out that at the denominator
2/100 * 67(100) = 2(67)
2(67) = 134
Answer:
Write 2% as the ratio 2/100. Write the equivalent ratio_?_ . (100)(67)= 6700, so (2)(67)=134
6700
Step-by-step explanation: Just did it on edg 2020. IF THIS HELPS IT IS C.
7(y-2)=7y-14 I’m kinda confused
Answer:
Infinitely many solutions
Step-by-step explanation:
Equation:
7(y-2)= 7y - 14
1. Simplify each side
7y - 14 = 7y - 14
Infinitely many solutions
graph linear equations
I'm confused on how to do this problem... How do you do this problem the correct way because I can't figure it out
Describe how the value of the digit 2 changes in each place in the number 22.222.
Answer:
ones, ten, hundreds, thousands, ten thousand, ect.
on the right side of the decimal represents a part of a number Ex. .222 is equal to 222/1000 of a number.
Which ordered pair is in the solution y>=1/3x+4
A. (-6,1)
B. (1,-6)
C. (6,-1)
D. (-1,6)
6248 divided by 38
Quotient:
Remainder:
rotate the triangle through 180 degrees about the origin?
Answer:
Step-by-step explanation:
(1,1) ==> (-1,-1)
(4,2)==>(-4,-2)
(4,4)==> (-4,-4)
The triangle is shown below, after rotting 180 degrees about the origin.
What is a triangle?A triangle is a geometric figure with three edges, three angles and three vertices. It is a basic figure in geometry.
The sum of the angles of a triangle is always 180°
Given that,
The coordinates of the vertices of triangle = (1, 2), (4, 2) and (4,4).
When the triangle is rotated through 180 degrees about the origin,
The sing of the vertices changes.
The sign will be changed as.
(1, 2) = (-1, -2)
(4, 2) = (-4, -2)
(4, 4) = (-4, -4)
The triangle after rotating 180 degrees show.
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A small box of cereal contains 10 cups of cereal. A medium box of the same cereal contains 30% more cereal than the small box. How many cups of cereal does the medium box contain?
-------Cups
Answer:
13 cups
Step-by-step explanation:
If the small box has 10 cups, then:
(small) 10 cups = 100%
(medium) x cups = 130%
Now, cross multiply:
10 (130) = x (100)
1300 = 100x
x = 13
Another way to solve this is by turning 30% into a decimal:
30/100 = 0.3
10 (0.3) = 3
Now you have 30% of the 10 cups, but you need 30% more than the small box, so:
10 + 3 = 13 cups
Simplify 9 to the 2nd power\ 9 to the 7th power
Answer:
9^2/9^7 = 9^-5
Step-by-step explanation:
A fruit bowl contains 2 bananas, 5 oranges, and 4 apples in the simplest form, what is the ratio of apples to bananas in the fruit bowl?
Answer:
Ratio of apple to banana is 2:1
Step-by-step explanation:
To find ratio of x type of one thing and y type of other thing we divide
x by y and ratio is written as
ratio = x:y
_________________________________
Number of banana = 2
Number of apples = 4
Ratio of apple to banana = Number of apples :Number of banana
Ratio of apple to banana = 4:2
since 4 is divisible by 2 , to get the ratio in simplest form
we divide both numerator and denominator by 2
Ratio of apple to banana = 4/2:2 /2 = 2:1
Thus,
Ratio of apple to banana is 2:1
z=m-a-b, for a PLS ASAP
Answer:
a=m-b-z
Step-by-step explanation:
Answer:
a = -z + m -b
Step-by-step explanation:
Sorry my handwriting is a bit messy, but hopefully it helps. Have a great day!
2/5(10x+25)
Simplify
Brainly
Answer:
4x+10
Step-by-step explanation:
Solve the equation using the Properties of Equality.
1/2y +1/3 = 2/3
y= ?
What is the answer??
Answer:
A
Step-by-step explanation:
Chandler wants to start saving money for vacation. She currently has $300 in her bank account and plan to save $100 more each month until she reaches her goal of $1500. How long will chandler have to save until she can afford her vacation.
(write equation in y=mx+b)
help me please :)))))
Answer:
p=2/3 mn
p/n=2/3 m(
(3)p/n=2/3(3)m
3p/n=2m
3p/2n=2m/2
3p/2n=m (letter B)
d) 48 + (6 + 2) =
Please help I am stupid at maths!
Answer:
= 48 + 8
= 56
Step-by-step explanation:
hope its helps
good luck
WILL GIVE BRAINLIEST IF CORRECT
Answer:
la respuesta correcta es laC
han ku po ammo paumahin
URGENT!!! DUE IN A FEW MINS!1!1 PLS HELP ASAP GUYS
hehe lol jk
thx 4 showing up anyway
if this were a real question, i know you guys would have my back :-)
i l o v e y o u <3 LSKDJIGEFHJUKJJLOL
After completing the fraction division 5 divided by five-thirds, Miko used the multiplication shown to check her work. 3 times five-thirds = StartFraction 3 Over 1 EndFraction times five-thirds = StartFraction 15 Over 3 EndFraction or 5 Which is the most accurate description of Miko's work?
Step-by-step explanation:
5 divided by five-thirds can be written in the fractional form is as follows :
[tex]\dfrac{5}{\dfrac{5}{3}}[/tex]
It can be also written as :
[tex]\dfrac{5}{\dfrac{5}{3}}=5\times \dfrac{3}{5}\\\\=3[/tex]
He has done calculations as follows :
3 x 5/3=3/1 x 5/3 = 15/3 or 5
Miko was wrong in the first step where he multiplied 3 by (5/3). It should be 5 multiplied by (3/5). He has done multiplication incorrectly.
Answer: A
Step-by-step explanation: i took the test
The formula to convert °F to °C is C = C equals StartFraction 5 Over 9 EndFraction left-parenthesis F minus 32 right-parenthesis.(F – 32).
Convert 50°C to °F.
Answer: 122°F
Step-by-step explanation:substitute 50°C anywhere in the formula that has the C
There are 5 number cards labeled 1 through 5. What is the probability and its complement of randomly drawing a card from this set that is more than 47
Answer:
impossible you cant get one that is over 5 if it only goes to 5
Step-by-step explanation:
Can someone send me the answer to the question in the photo? (with solutions)
Answer:
This is so easy question .
I can do.
Are the lines parallel? y = x + 4 and y = x-2
A. yes, they have the same slope and a different y-intercept
B. no, they are not parallel
Answer:
A
Step-by-step explanation:
Remember that parallel lines have the same slope.
The y-intercept does not matter.
We have the two equations:
[tex]y=x+4[/tex]
And:
[tex]y=x-2[/tex]
The slope is the coefficient in front of the x.
In the first equation, we can rewrite it as:
[tex]y=(1)x+4[/tex]
Therefore, the slope of the first equation is 1.
Similarly, for the second equation, we can rewrite it as:
[tex]y=(1)x-2[/tex]
The slope of the second equation is also 1.
Therefore, since their slopes are equivalent, they are parallel.
Thus, our correct answer is A.