The distance of the sailboat from the island at this time will be 131.78 miles.
How to calculate the distance?The distance of the sailboat from the island will be calculated by using the law of cosines. This will be:
a² = (18 × 4) + 200² - (2 × 72 × 200 cos 15°)
a² = 72 + 200² - (144 × 200 cos 15°)
a = 131.78 miles.
The angle that should be used by the sailboat to correct its course will be:
= 180° - (sin 15°/131.78)
= 180° - 22.95°
= 157.05°
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Solve for x: ___ degrees.
Answer:
63
Step-by-step explanation:
This is a cyclic quadrilateral, meaning that its opposite angles are supplementary. So, x=180-117=63.
Answer:the largest angle has a measure of _____degrees.
Answer:
depends mostly it'll b 180 degress
Step-by-step explanation:
A suit is on sale for 72% off. The sale price is $263.20.
What is the regular price?
Answer:
940
Step-by-step explanation:
To find the original price of something that been discount do the following:
Subtract the discount from 100 to get the percentage of the original price.Multiply the final price by 100.Divide by the percentage in Step One.Or we can do the following:
We shall consider the original price as x; hence the discount can be considered as (x−263.20). We can write the equation:
x · 72/100=x - 263.20
x · 18/25 = x - 263.20
Multiply both sides by 25
18x = 25(x - 263.20)
Open the brackets.
18x = 25x-6580
Add 6580 to each side.
6580 +18x = 25x
Subtract 18x from each side.
6580 = 7x
Subtract 7x from each side.
x = 940
Check Answer:
940 * 72% = 676.80
940 - 676.80=263.20
Hence, the regular price is 940.
~lenvy~
Step-by-step explanation:
The sale price ( The marked price ) :- $263.20
Discount :- 72%
Discount :- marked 100 ,Discount 72 ,Seliing ( Regular ) 28
Regular price :- 263.20 × 28 / 100
$ 73.69
Given f(x) and g(x) = f(x) + k, use the graph to determine the value of k.
Answer:
The answer should be 3 :)
Step-by-step explanation:
Pick a point on f(x) and count up until you hit the g(x) point :)
When i did this, i got 3 :)
Have an amazing day!!
Please rate and mark brainliest!!
A manager drew this box-and-whisker plot to represent the number of minutes each of the company's 360 employees took on their break.
Box-and-whisker plot ranging from 34 to 58 with ticks at increments of one half. Plot defined by points at 35, 37, 41, 49, 55
How many employees took a break that lasted between 37 and 41 minutes?
Select from the drop-down menu to correctly complete the statement.
About (blank) employees took a break that lasted between 37 and 41 minutes.
Answer:
90
Step-by-step explanation:
37 and 41 is only in the 25% percentile.
360 X .25 = 90
Plus, I took the K12 test and got it right.
The number of employees took a break that lasted between 37 and 41 minutes is 60.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.
We know that;
There are 360 employees in total and that they are evenly distributed along this plot. Therefore, we can divide 360 by the width of this plot to find how many employees are represented by one unit on this plot. The width of this plot is 58 - 34 = 24 units.
So, 360 / 24 = 15
This means that for every unit on this plot, there are 15 employees who took a break with that duration.
Now we can multiply this number by the width of the box to find how many employees took a break between 37 and 41 minutes. The width of the box is 41 - 37 = 4 units. So,
15 * 4 = 60
This means that there are 60 employees who took a break that lasted between 37 and 41 minutes.
Therefore, by the unitary method the answer will be 60 employees
Learn more about the unitary method, please visit the link given below;
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#SPJ3
Which expressions are equivalent to 4b
Choose all answers that apply:
b + 2(b + 2b)
3b + b
2(2b)
2(b + 2b) - 4b
ANSWER ASAPP PLSSSSSSSSSSSSSSSSSSSSSSSSSSs
[tex]3b+b=4b\\\\2(2b)=4b\\\\[/tex]
Someone pls
.
A
A
A
A
A
A
S
Answer:
7
Step-by-step explanation:
Degree of a polynomial is a variable's highest exponent
In this expression the degree is 7
Answer:
7
Step-by-step explanation:
If you used
P.E.M.D.A.S
Brainly please I worked so hard for this answer
Which is the equation of the line with slope 3 that contains point (-1,5)?
y-1 = 3(x + 5)
y - 1 = 3(x - 5)
y - 5= 3(x - 1)
y - 5= 3(x + 1)
Answer:
D
[tex]y-5=3(x+1)[/tex]
Step-by-step explanation:
We can see that the question is asking for the Point-Slope Form;
[tex]y-y_{1} =m(x-x_{1})[/tex]
The points go into the equation for [tex]y_{1}[/tex] and [tex]x_{1}[/tex]
[tex]y-5=m[x-(-1)][/tex]
M would be the slope;
[tex]y-5=3[x-(-1)][/tex]
Which basically is:
[tex]y-5=3(x+1)[/tex]
What is the answer? Please simplify!
Answer:
2/125 or 0.016
Step-by-step explanation:
0.1= 1/10
1/10^3 × 2^-4
2 × 1/5^3
2 × 1/125
2/125
The following refers to a purchase of a machine by a company on January 1, 2021:
Salvage Value: $7,500
Life: 6 years
Desired Rate of Return 4%
Interest Compounded: semi-annually
Maximum amount the company can pay $32,348
What is the semi-annual net cash flow the company must achieve in order for the purchase to be made?
The semi-annual net cash flow that the company must achieve in order for the purchase to be made is $5041.
How to calculate the cash flow?Maximum amount that can be invested = $32348.
Less: Present value of salvage value = $5927
Present value of cash inflow = $32348 - $5927 = $26421.
Net cash flow will be:
= $26421 / PV factor
= $26421/5.242
= $5041
In conclusion, the correct option is $5041.
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In circle O. AD and BE are diameters. The measure of arc AB is 55° and the measure of arc CD is 25° B с F D E What is the measure of BC ? 090 O 110 O 100 O 80
Answer:
100°
Step-by-step explanation:
the total of all angles around O on one side of AD is 180° (as that would represent a half-circle).
and the sum of the arc angles AB + BC + CD covers the whole 180°.
so, we have
180 = 55 + BC + 25
180 = 80 + BC
BC = 100°
The graph displays a linear function.
Answer:
[tex]y = -\frac{2}{3}x +0[/tex] OR [tex]y = -\frac{2}{3}x[/tex]
Step-by-step explanation:
First, find the slope (m) using two points (0,0) and (-6, 4)
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{4-0}{-6-0} \\\\m=\frac{4}{-6}\\\\m=\frac{2}{-3}\\\\m=-\frac{2}{3}[/tex]
[tex]y=mx+b[/tex]
[tex]y = -\frac{2}{3}x +b[/tex]
Now, we find b using (-6, 4)
[tex]y = -\frac{2}{3}x +b[/tex]
[tex]4 = -\frac{2}{3}(-6) +b\\\\4 = \frac{12}{3} +b\\\\4 = 4 +b\\\\-4 -4\\\\0=b[/tex]
[tex]y = -\frac{2}{3}x +0[/tex] OR [tex]y = -\frac{2}{3}x[/tex]
Hope this helps!
Paul leaves £4000 in the bank for two years. It earns compound interest of 5% per year. Calculate the total amount Paul's has in the bank at the end of the two year.
Pls give me working out and explanation !!!!
Answer:
£4400
Step-by-step explanation:
5% of 4000 is 200
200*2=400
4000+400=4400
£4400
What is the mean absolute deviation of the following set
of data?
9
2
9
9
5
4.
9
1
4
10
Answer:
3
Step-by-step explanation:
You want the mean absolute deviation of the set of numbers ...
{9, 2, 9, 9, 5, 4, 9, 1, 4, 10}
MADThe mean of this 10-number set of data is 6.2. The mean absolute deviation (MAD) is found by subtracting that from the members of the dataset, taking the absolute values of the result, and finding the means of those.
The attachment shows those calculations.
The MAD of this set of data is 3.
__
Additional comment
The period (decimal point) in the column of numbers suggests this is a 6-number dataset, and the last 4 numbers are answer choices. If that is the case, none of those answer choices is correct. That is why we assumed that this problem has a 10-number dataset.
When you're calculating this by hand, you only need to consider the values for which the deviation is negative. The MAD is twice their total absolute value, divided by the number of numbers in the dataset. Here, that is 2(4.2+2.2+5.2+2.2+1.2)/10 = 3. (Numbers 2, 5, 4, 1, 4 are less than the mean of 6.2.)
<95141404393>
When using synthetic division you must switch the signs in the divisor
Correct answer:
True
False
b a dddddddies hmuuuuuuuuuuuu XD
Which expression is equivalent to the following complex fraction?
Answer:
Option B
Step-by-step explanation:
Numerator:
[tex]\dfrac{3}{x -1 }-4 =\dfrac{3}{x-1}-\dfrac{4*(x-1)}{x-1}\\\\[/tex]
[tex]=\dfrac{3- 4x -4*(-1)}{x-1}=\dfrac{3-4x+4}{x-1}\\\\\\=\dfrac{-4x+7}{x-1} \: \textbf{ [Combine like terms]}[/tex]
Denominator:
[tex]2-\dfrac{2}{x-1}=\dfrac{2*(x-1)}{x-1}-\dfrac{2}{x-1}\\[/tex]
[tex]= \bf \dfrac{2x-2-2}{x-1}\\\\\\= \dfrac{2x-4}{x-1}\\\\= \dfrac{2*(x- 2)}{x-1}[/tex]
[tex]\dfrac{\dfrac{3}{x-1}-4}{2-\dfrac{2}{x-1}}=\dfrac{\dfrac{-4x+7}{x-1}}{\dfrac{2*(x-2)}{x-1}}[/tex]
[tex]\bf = \dfrac{-4x+7}{x-1}*\dfrac{x-1}{2(x-2)} \ \ \ \textbf{ [(x-1) in the numerator and denominator will be cancelled]}\\\\\\=\dfrac{-4x+7}{2(x-2)}[/tex]
If 14 is added to a number, the result is 40 less than twice the number. Find the number.
Answer:
Asher should be 61
Step-by-step explanation:
Help Picture below problem 17
Answer:
139°
Step-by-step explanation:
18°+23°+?= 180°{sum of angles on a triangle}
41°+?° = 180°
?° =180-41=139°
I did half the answer but what is e= ?
Answer:
See below.
Step-by-step explanation:
e=12c+6
e=12(1)+6
e=12+6
e=18
e=12(2)+6
e=24+6
e=30
e=12(3)+6
e=36+6
e=42
e=12(4)+6
e=48+6
e=54
-hope it helps
need help with this question please
Answer:
your answer is correct
Step-by-step explanation:
Which phrase best describes the relationship indicated by the scatter plot? A. Constant correlation B. negative correlation C. Positive correlation D. no correlation
How many different ways can 6 different positions be filled by 12 applicants?
Answer:665280
Step-by-step explanation:
12•11•10•9•8•7=665280
Help? Anything can help I’m in a rush
Answer: A vertical line from (-5 , 4 ) to (5 , 4)
Step-by-step explanation: The y axis is the vertical one. Go up 4 and draw a line connecting all the points with 4 in the coordinates.
Hope that helps :)
Answer:
Step-by-step explanation:
go up 4 lines on the y-axis then draw a straight line from left to right on y=4
I don't know if you can see the picture, but I drew a line on the picture you provided...
Please 5 stars if correct!!!
I hope this helps
Consider the expression 1.1(1.3)x+4Which of the following is an equivalent expression?
Answer:
the equivalent expression is 1.1(1.3)^4 ×(1.3)^x
Answer:
d
Step-by-step explanation:
i took the test
Help help her help help
Answer:
x = 12
Step-by-step explanation:
1. Subtract 9 from both sides:
x/6 = 2
2. Multiply both sides by 6:
x = 12
Answer:
9 + x/6 = 11
Always get rid of the constants first,
-9 -9(we subtract 9 from both sides because the inverse operation of addition is subtraction)
x/6 = 2
Isolate x by multiplying by 6 on both sides (because the inverse operation of division is multiplication)
*6 *6
x = 12
Answer choices:
y = x
y = 1/4x - 2
y = -x + 7/4
y = 7/4x - 2
Answer:
all in all it's y=x
Step-by-step explanation:
A (4,1); B (0,-2)
G=delta y
--------
delta x
1-(-2)
-------
4-0
3/4=G
3/4=y-1/x-4
4 (y-1)=3 (x-4)
4y-4=3x-12
4y=3x+4-12
y=3/4x-3
There are 150 boys and girls playing in the soccer tournament.50 of the students are wearing red.what percent of the of players are wearing red.
Answer:
1/3 or 33%
Step-by-step explanation:
You can first do: 50/150
Which is 5/15 simplified
And do the quick math:
1/3 or 33%
Sam buys a tent priced at $50 if the sales tax is 5% how much tax will Sam pay
tax will be = 50 x 5% = $2.5
the product of two consecutive odd number is 143 find those two odd numbers show ll workings
Answer:
11,13
11×13=143
Step-by-step explanation:
please mark me as brainlest
f(x) = x^1/2 is continuous for all x but not differentiable at x=0. is it True or False?
Answer:
it's true because the x=0 and that why it must be true FX may be the some I would say it's true