Answer:
D. x2 = 52 + 32 – 2(5)(3)cos(140°)
Step-by-step explanation:
The equation measures the cyclist's distance, x, from the starting point will be x²=5²+3²-2(5)(3)cos(140°). Option B is corect.
What is the distance?Distance is a numerical representation of the distance between two objects or locations.
The distance can refer to a physical length or an estimate based on other factors in physics or common use. |AB| is a symbol for the distance between two points A and B.
Distance is measured in the meter, centimeter, miles, nautical mile, feet, etc. The unit of distance is most important to find it.
The distance, x, from the starting point is;
From the cos law ;
x² = a² +b²-2ab cosΘ
From the digrame it is obtained that;
a =5
b =3
Θ = 180 ° +70° -30°
Θ = 180°- 40°
Θ = 140°
Substitute the values;
x² = a² +b²-2ab cosΘ
x²=5²+3²-2(5)(3)cos(140°)
The equation measures the cyclist's distance, x, from the starting point will be x²=5²+3²-2(5)(3)cos(140°).
Hence option B is corect.
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Factor Completely
-m^3-2m^2-16m-32
Answer:
-(m+2)(m^2+16)
Step-by-step explanation:
What is the polar form of z?
6 StartRoot 2 EndRoot(cos(135°) + isin(135°))
6 StartRoot 3 EndRoot(cos(135°) + isin(135°))
6 StartRoot 2 EndRoot(cos(225°) + isin(225°))
6 StartRoot 3 EndRoot(cos(225°) + isin(225°))
Answer:
A
Step-by-step explanation:
edge
The polar form of z is 6√2(cos(135°) + isin(135°)).
What Is Polar Form of Complex Numbers?Complex numbers are represented in polar form as the complex number's modulus r and argument combined. Given as z = r cosθ + i r sinθ = r (cosθ + i sinθ). the polar form of the complex number z = x + iy with coordinates (x, y) is given. Polar coordinates of real and imaginary numbers in the coordinate system are used to express the polar form. A complex number in a two-dimensional coordinate system is A = x + i y
Given the point z
From the positive real axis, the angle to the point in the second quadrant is calculated (the x-axis). The only options that make sense for the second quadrant are the 135° angles, which fall between 90° and 180°.
The square root of the sum of the squares of z's components determines its magnitude:
|z| = [tex]\sqrt{x^{2} + y^{2} }[/tex]
here x = -6 and y = 6
|z| = √(-6²) + (6²)
z = 6√2
polar form is
z = 6√2(cos(135°) + isin(135°))
Hence the complex form is 6√2(cos(135°) + isin(135°)).
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The short sldes of a rectangle are 2 Inches. The long sides of the same rectangle are three less than an unknown
number of Inches.
If the area of the rectangle is 22 square Inches, what is the value of the unknown number?
inches
Answer:
33
Step-by-step explanation:
The area is 22, and to find area you do l*w
so 22/2=11
so 11*3=33
your unknown number is 33
i have some help plzzz
winner=brainllest
Answer:
b) 18
Step-by-step explanation:
600 - 150 = 450
25x = 450
x = 18
check
25 x 18 = 450
450 + 150 = 600
combine like terms:
Answer:
Step-by-step explanation:
Alex an make one sandwich in 45 seconds. If he made 34 sandwiches for the swim team, how many minutes would it take him?
Answer:
20 minutes
Step-by-step explanation:
34 times 45 secs equals 1190 secs,
since there is 60 secs in one minute you would divide,
1190/60 = 19.8333.. mins or 19 mins and 50 secs
Find the unit rate of the following:
(miles per hour)
22.75 miles in 3.5 hours =
Answer:
The unit rate is 6.5mph or 6.5 miles per hour.
Step-by-step explanation:
22.75/3.5 = 6.5
The endpoints of u are 0 (-2,9) and A(6,-3). What is the length of segment ?
A 14.5
B 14.4
C 14
D 13.9
Answer:
[tex]B.\ 14.4\ units[/tex]
Step-by-step explanation:
[tex]We\ are\ given\ that,\\Coordinates\ of\ Endpoint\ O=x_1,y_1=(-2,9)\\Coordinates\ of\ Endpoint\ A=x_2,y_2=(6,-3)\\As\ we\ know\ that,\\The\ length\ of\ line\ segment\ OA\ or\ u\ is\ the\ distance\ between\ its\ endpoints\\ O\ and\ A.\\Hence,\\The\ linear\ distance(d)\ between\ any\ two\ points\ on\ a\ cartesian\ plane,\\ is\ given\ by\ the\ Formula:\\d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\Hence\ here,\\[/tex]
[tex]In\ order\ to\ find\ the\ distance\ between\ O\ and\ A,\ we\ just\ need\ to\ plug\ in\\ its\ respective\ coordinates\ in\ the\ Formula\ above.\\Hence,\\Distance\ between\ O\ and\ A= \sqrt{(6-(-2))^2+(-3-(9))^2} \\Distance\ between\ O\ and\ A= \sqrt{(6+2)^2+(-3-9)^2}\\Distance\ between\ O\ and\ A= \sqrt{(8)^2+(-12)^2}\\Distance\ between\ O\ and\ A= \sqrt{64+144}\\Distance\ between\ O\ and\ A= \sqrt{208}\\Distance\ between\ O\ and\ A \approx 14.42\ or\ 14.4\ units[/tex]
29. My grandson makes wall hangings by stitching
together 16 square patches of fabric into a 4 x 4
grid. I asked him to use patches of red, blue,
green and yellow, but to ensure that no patch
touches another of the same colour, not even di-
agonally.
The picture shows an attempt which fails only
because two yellow patches touch diagonally.
In how many different ways can my grandson
choose to arrange the coloured patches correctly?
9514 1404 393
Answer:
168
Step-by-step explanation:
Below are shown the 7 different kinds of arrangements that can be made. Each of these can be permuted into 24 different arrangements by assigning colors in a different order than the one used here:
{1, 2, 3, 4} ⇒ {green, blue, red, yellow}
Then the total number of possible correct colorings is 7·24 = 168.
__
These colorings were found using a computer program that identified all 168 viable colorings, then eliminated permutations. It started by identifying ways to color 2 rows, then adding rows based on that.
_____
You'll notice that the last on the attached list most closely matches the one in the problem statement.
what is 8/66 simplified
Answer:
4/33 = 0.12121
Step-by-step explanation:
Answer:
8/66 reduced is 4/33
Step-by-step explanation:
In a company 70% of the workers are men if 1,080 of the workers aren't mentioned
Answer:
is there any more details?
Step-by-step explanation:
Answer:
any more details please?
find the slope of the line through (9,0) and (3,8)
Answer: 4/-3
Step-by-step explanation:
Slope (m) = ΔY /ΔX = 4 /-3
ΔX = 3 – 9 = -6
ΔY = 8 – 0 = 8
Find the volume of the sphere. Round to the nearest tenth.
r = 2
2/3 + 1/3 x 3/4 in simplest form
Answer:
11/12
Decimal form: 0.916 (the 6 is continuous)
Step-by-step explanation:
If you were to roll the dice one time what is the probability it will NOT land on a 2?
Answer:
5 / 6
Step-by-step explanation:
Given that:
Probability that a dice rolled once will not land on 2
Probability = required outcome / Total possible outcomes
Total possible outcomes = (1, 2, 3, 4, 5, 6)
Required outcome = 2
P(not land on 2) = 1 - p(land on 2)
P(land on 2) = 1/6
P(not land on 2) = 1 - 1/6
P(not land on 2) = 5/6
Tom and Jason both collect marbles Tom has collected 510 marbles and Jason has collected 842 marbles. How many marbles do they on together..?Estimate the total number of marbles nearest to hundred
Answer:
They had 1,352 marbles all together, rounded to the nearest hundred, 1,400.
Step-by-step explanation:
All we have to do is add the number of marbles they collected.
510 + 842 = 1,352
1,352 rounded to the nearest hundred is 1,400.
jake earned 30 points out of a total of 43 on his most recent math test. on his social studies test, jake scored 85 out of a possible 124 points.
on evict rest did jake score a higher percentage of the total? just your answer.
Answer: See explanation
Step-by-step explanation:
Your question isn't really clear but let me help.
For Maths test,
Point earned = 30
Total point = 43
Percentage = 30/43 × 100 = 69.77%
Social studies test
Point earned = 85.
Total point = 124
Percentage = 85/124 × 100 = 68.55%
From the above, we can see that Jake scored a higher percentage in the Maths test.
Can you find the slope and type the correct code?
The selling price of an item is $720. It is marked down by 30%, but this sale price is still marked up from the cost of $420. Find the markup from cost to sale price.
Answer:
$84
Step-by-step explanation:
720x30=21600
21600/100=216
216=markdown (as a number instead of a percentage)
Now subtract that like this
720-216=504
504= sale price
Then do this
504-420=84
Therefore it is $84
Hope you understand!
WILL GIVE BRAINIST!!!
AND 20 POINTS:)
Ummmm its not clear so
which of the following is slope of the line that passes through the points (-1 , 10 ) and (5,2)
Answer:
[tex]m=\frac{-4}{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (-1, 10)
Point (5, 2)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute [SF]: [tex]m=\frac{2-10}{5+1}[/tex]Subtract/Add: [tex]m=\frac{-8}{6}[/tex]Simplify: [tex]m=\frac{-4}{3}[/tex]Moreeeeee points. Hope you guys like
Answer:
Thank you very much :3
Have a great day!
also 1 + 1 is 2
Answer:
yeah I like that your free points and thanks
The 8th Grade wants to raise money for a field trip that costs $800. 15 students are in charge of fundraising. What is the minimum amount of money they each have to raise to achieve their goals (if they each raise the same amount of money)?
Answer: $54.35
Step-by-step explanation:
If each one of the 15 students raises the same amount, let's define this amount by the variable X, then the total amount they will collect is 15 times X, or:
15*X
And the minimum amount they need to collect is $800
Then we will have the inequality:
15*X ≥ $800
Now we can divide both sides by 15 to get the minimum amount that each student needs to raise:
(15*X)/15 ≥ $800/15
X ≥ $54.33...
Where we should round up the right number to $54.35, because we can not have a $0.0333... and if we round down, they would collect less than $800.
Then the inequality is:
X ≥ $54.35
This means that the minimum amount that each one of the 15 students needs to collect is $54.35
URGENT HELP!!!
what is the slope of this table?
Answer:
sorry i wish i could help but i can't understand that
Step-by-step explanation:
Answer:
y=-3x+1
Step-by-step explanation:
your welcome
What is the median of the following numbers?
6,4, 1,9,3,8,3,5, 10
Median = 5
Mean = 5.4444444444444
Mode: 3
Range = 9
Minimum = 1
Maximum = 10
How to find Median:
Arrange your numbers in numerical order. Then the second step is to have an odd number, divide by 2 and round up to get the position of the median number. The last step is to find the even number and if you have it, divide it by 2.
Answer: 5
Hope this helps.
HELP 50 PTS
(a) Write the expression in expanded form. log(7x^3/z)
(b) Write the expanded form as a simplified single log. 3log(5) + 2log(x) – log(25)
Step-by-step explanation:
log(7x³/z) = log(7) + log(x³) - log(z).
3log(5) + 2log(x) - log(25) = log(125) + log(x²) - log(25) = log(125x²/25) = log(5x²).
(3x — 3), (4y+4)°/60° Solve for y.
F a person is earning $34,923 per year, approximately how much should they be saving, including retirement and other savings?'
Answer:
$6,984.60 per year.
Step-by-step explanation:
Using a normal and very common budget, you should divide your monthly/annual salary into 3 main tiers, which are the following
50% = necessities (rent, food, bills, etc)30% = lifestyle choices (clothes, entertainment, hobbies, etc)20% = savings (retirement, emergency fund, etc.)If we go by this budget then we would need to turn the 20% into a decimal by dividing it by 100 and then multiply that decimal by the person's annual salary.
20% / 100 = 0.20
$34,923 * 0.20 = $6,984.60
Finally, we can see that the individual should be saving roughly $6,984.60 per year.
I NEED HELP PLEASE????!!!!!!!
Answer:
its c!!!!!!!!!!!!!!!!!!!!!!!!
Select the correct answer from each drop-down menu.
The quantity best expressed as -3.2 is BLANK. The quantity best expressed as +5.1 is BLANK.
Answers to first blank:
(3.2 feet above sea level)
(A withdrawal of $3.20)
(A profit of $3.20)
Second blank answers:
(A debt of $5.10)
(A withdrawal of $5.10)
(5.1 feet above sea level)
I need help ASAP plzzzz
Answer:
First one is a withdraw and the second one is above sea level
Step-by-step explanation:
Answer:
The quantity best expressed as -3.2 is a withdrawal of $3.20 The quantity best expressed as +5.1 is 5.1 feet above sea level