Answer:
3 uwuuuuuuuuuuuuuuuuuuuuuuuuuuuuu
Can someone please help me for questions 22 and 23???
Given w =StartRoot 2 EndRoot (cosine (StartFraction pi Over 4 EndFraction) + I sine (StartFraction pi Over 4 EndFraction) ) and z = 2 (cosine (StartFraction pi Over 2 EndFraction) + I sine (StartFraction pi Over 2 EndFraction) ) , what is w – z expressed in polar form?
StartRoot 2 EndRoot (cosine (StartFRaction pi Over 4 EndFraction) + I sine (StartFraction pi Over 4 EndFraction) )
StartRoot 2 EndRoot (cosine (StartFraction 3 pi Over 4 EndFraction) + I sine (StartFraction 3 pi Over 4 EndFraction) )
StartRoot 2 EndRoot (cosine (StartFraction 5 pi Over 4 EndFraction) + I sine (StartFraction 5 pi Over 4 EndFraction) )
StartRoot 2 EndRoot (cosine (StartFraction 7 pi Over 4 EndFraction) + I sine (StartFraction 7 pi Over 4 EndFraction) )Solve the following triangle using the Law of Sines.
(9 points)
Answer:
d) √2∠(7π/4)
Step-by-step explanation:
Sometimes the expression A(cos(α)+i·sin(α)) is written as A·cis(α). I prefer the notation A∠α, because it is more compact.
You are given ...
w = √2∠(π/4)
z = 2∠(π/2)
And you are asked to find the difference w-z in polar form.
__
In rectangular form, ...
w = √2∠(π/4) = √2(1/√2 +i/√2) = 1 +i
z = 2∠(π/2) = 2(0 +i·1) = 2i
Then the difference is ...
w -z = (1 +i) -(2i) = 1 -i
You may notice this is the conjugate of w, so will have the opposite angle:
w - z = w* = √2∠(-π/4) = √2∠(7π/4)
In the terms used by the problem statement, ...
w -z = √2(cos(7π/4) +i·sin(7π/4)) . . . . matches choice D
What is the equation of the blue line?
9514 1404 393
Answer:
y = 2
Step-by-step explanation:
A horizontal line has the equation ...
y = constant
The constant can be found by counting grid squares or reading the label on the y-axis where the line crosses.
The equation of the blue line is y = 2.
2. What is the probability that the third strike comes on the seventh well drilled?
Answer:
about a 5% chance
Step-by-step explanation:
That is, there is about a 5% chance that the third strike comes on the seventh well drilled.
Find cotθ, cosθ, and secθ, where θ is the angle shown in the figure.
Give exact values, not decimal approximations.
Answer:
[tex] \cos( \theta) = \frac{5}{8} \\ {8}^{2} = {5}^{2} + {opp}^{2} \\ {opp}^{2} = 64 - 25 = 39 \\ opp = \sqrt{39} \\ \sin(\theta) = \frac{\sqrt{39}}{8} \\ \tan(\theta) = \frac{ \sqrt{39} }{5} \\ \cot(\theta) = \frac{1}{\tan(\theta)} = \frac{1}{\frac{ \sqrt{39} }{5}} \\ \cot(\theta) = \frac{5}{ \sqrt{39} } \\ \csc( \theta) = \frac{1}{\sin(\theta)} = \frac{1}{\frac{\sqrt{39}}{8}} \\ \csc( \theta) = \frac{8}{ \sqrt{39} } \\ \sec( \theta) = \frac{1}{\cos( \theta) } = \frac{1}{ \frac{5}{8} } \\ \sec( \theta) = \frac{8}{5} [/tex]
For given angle [tex]\theta[/tex],
[tex]\bold{cot(\theta)=\frac{5}{6.24}}\\\\ \bold{cos(\theta)=\frac{5}{8}}\\\\ \bold{sec(\theta)=\frac{8}{5}}[/tex]
What is cosine of angle?In a right triangle, for angle Ф
cos(Ф) = adjacent side of angle Ф / hypotenuse
What is sine of angle?In a right triangle, for angle Ф
cos(Ф) = opposite side of angle Ф / hypotenuse
What is secant of angle?In a right triangle for an angle Ф,
sec(Ф) = 1 / (cos(Ф))
What is cotangent formula for an angle Ф?In a right triangle for an angle Ф,
cot(Ф) = cos(Ф) / sin(Ф)
What is Pythagoras theorem?For a right triangle,
[tex]c^2=a^2+b^2[/tex]
where 'c' represents the hypotenuse
'a' and 'b' be the other two sides of the right triangle
For given example,
The adjacent side of [tex]\theta[/tex] is 5 and the hypotenuse is 5.
[tex]\bold {cos(\theta)=\frac{5}{8}}[/tex]
We find the opposite side of the angle [tex]\theta[/tex] using Pythagoras theorem.
Let 'x' be the opposite side of the angle [tex]\theta[/tex] .
By Pythagoras theorem,
[tex]\Rightarrow 8^{2} =x^{2} + 5^{2}\\\\ \Rightarrow x^{2} =64-25\\\\ \Rightarrow x=\sqrt{39}\\\\ \Rightarrow x=6.24[/tex]
So, the opposite side of the angle [tex]\theta[/tex] is 6.24 units.
[tex]sin(\theta)=\frac{6.24}{8}[/tex]
So, the value of [tex]cot(\theta)[/tex] would be,
[tex]\Rightarrow cot(\theta)=\frac{cos(\theta)}{sin(\theta)}\\\\\Rightarrow cot(\theta)=\frac{\frac{5}{8} }{\frac{6.24}{8} } \\\\\Rightarrow \bold{cot(\theta)=\frac{5}{6.24}}[/tex]
Now we find the value of [tex]\bold{sec(\theta)}[/tex]
[tex]\Rightarrow sec(\theta)=\frac{1}{cos(\theta)}\\\\\Rightarrow sec(\theta)=\frac{1}{\frac{5}{8} }\\\\ \Rightarrow \bold{sec(\theta)=\frac{8}{5}}[/tex]
Therefore, for given angle [tex]\theta[/tex],
[tex]\bold{cot(\theta)=\frac{5}{6.24}}\\\\ \bold{cos(\theta)=\frac{5}{8}}\\\\ \bold{sec(\theta)=\frac{8}{5}}[/tex]
Learn more about cotθ, cosθ, and secθ here:
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Shown below are the scatter plots for four data sets.
Answer the questions that follow.
Solve for x
6(x+6)=4x−2
Answer:
x = -19
Step-by-step explanation:
6x + 36 = 4x - 2
6x + 36 - (4x - 2) = 4x - 2 - (4x - 2)
2x + 38 = 0
2x = -38
x = -19
What are the measures of Angles a, b, and c?
Show your work and explain your answers.
Answer:
∡a has a vertical angle sibling of 40°, and vertical angles are always congruent.
∡b is the 3rd angle in a triangle, the other two are 40° and 90°, recall all interior angles in a triangle add up to 180°.
∡c is a linear angle, namely an angle on the same flat-line as another, and linear angles always add up to 180°.
Step-by-step explanation:
yo someone pls help me
Answer:
3q+4+9=-14
(Simplify)
3q+13=-14
(Subtraction property of equality)
3q=-27
(Multiplication property of equality)
q=-9
Hope This Helps!!!
Answer:
[tex]q =( - 9)[/tex]
Step-by-step explanation:
Hey there,
[tex]3q + 4 + 9 = - 14[/tex]
[tex]3q + 13 = - 14[/tex]
[tex]3q = - 14 - 13[/tex]
[tex]3q = - 27[/tex]
[tex] \frac{3q}{ 3 } = \frac{ - 27}{3} [/tex]
[tex]q = - 9[/tex]
Hope this helps you.
Let me know if you have any other questions :-)
Which of the following is always true of a dependent system of two equations
Answer:
can I have the picture
I can't see
aolve the equation. 3/4x+3-2x = -1/4+1/2x+5
7. What is the value of the expression?
3/4 divided by 1/2
Answer:
3/4 / 1/2
3/4 * 2/1
6/4
1 2/4
1 1/2 or 1.5
In ANOP, NP is extended through point P to point Q, m_OPQ = (9x – 19)°,
mZPNO = (2x + 5), and mZNOP = (3x + 16º. Find mZNOP.
Answer:
The values of x and y are x = 6 and y = 9Step-by-step explanation:
MNOP is a parallelogram its diagonal MO and PN intersected at point A
In any parallelogram diagonals:
Bisect each other
Meet each other at their mid-point
In parallelogram MNOP
∵ MO and NP are its diagonal
∵ MO intersect NP at point A
- Point A is the mid-point pf them
∴ MO and NP bisect each other
∴ MA = AO
∴ PA = AN
∵ MA = x + 5
∵ AO = y + 2
- Equate them
∴ x + 5 = y + 2 ⇒ (1)
∵ PA = 3x
∵ AN = 2y
- Equate them
∴ 2y = 3x
- Divide both sides by 2
∴ y = 1.5x ⇒ (2)
Now we have a system of equations to solve it
Substitute y in equation (1) by equation (2)
∴ x + 5 = 1.5x + 2
- Subtract 1.5x from both sides
∴ - 0.5x + 5 = 2
- Subtract 5 from both sides
∴ - 0.5x = -3
- Divide both sides by - 0.5
∴ x = 6
- Substitute the value of x in equation (2) to find y
∵ y = 1.5(6)
∴ y = 9
The values of x and y are x = 6 and y = 9
Please help me, I'm on a test
Sara bought one bunch of lettuce for $1.60. How many bunches can she get if she has $24?
Answer:
38.40
Step-by-step explanation:
If you multiply 1.60 by 24 it will get you 38.40
Answer:
15 bunches
Step-by-step explanation:
So if each bunch of lettuce costs $1.60, you can divide that by 24, which is the amount of money you have, to get 15 bunches.
[tex]\frac{1.60}{24}[/tex] = 15
Elizabeth uses 33.15 ounces of granola for 15 servings of trail mix.
If each serving contains the same amount of granola, how much granola is in each
serving?
Answer:
Step-by-step explanation:
We have to do 33.15 / 15 to find how much is in each.
We change 33.15 into a fraction
We get 33 3/20
We do 33 3/20 / 15 = 33 3/20 * 1/15 = 663/20 * 1/15 = 663/300 = 2 63/300
Therefore, 2 63/300 ounces of granola is in a serving.
Determine if the ordered pairs represent a function.
{(1,5), (2,7), (3,9), (4,7)}
(yes or no)
Answer: No
Step-by-step explanation:
There's no noticeable pattern.
alguien me ayuda? porfa
Answer:
1. -2
2. -10
3. -30
4. -2
5 -21
6. -10
7. -1
8. -4
9. -170
10. -15
Step-by-step explanation:
graph the solution to the following equation: x+y= -8
If s = 36, what is the value of 2−s? −38 - 38 −34 - 34 34 34 38
Answer:
-34
Step-by-step explanation:
Substitute the value for the variable and evaluate.
[tex]2-s\\\\2-(36)\\\\2-36\\\\-34[/tex]
Answer:
38
Step-by-step explanation:
Will give brainliest answer
Answer:
I believe it's A)
Step-by-step explanation:
Ivan is curious if he can run faster than a rabbit.
He runs `90` feet in `5` seconds. The average rabbit can run at a speed of `35` feet per second.
Is Ivan faster than the rabbit?
Answer:
Step-by-step explanation:
Speed of rabbit per second = 35 ft
Ivan:
Speed in 5 seconds = 90 ft
Speed in 1 second = 90 ÷ 5 = 18 ft
No, Ivan is not faster than rabbit.
Solve the following system of equations graphically. Click on the graph until the correct solution of the system appears.
y = -3
x - y = 8
Putting y=-3 in second equation
[tex]\\ \sf\longmapsto x-(-3)=8[/tex]
[tex]\\ \sf\longmapsto x+3=8[/tex]
[tex]\\ \sf\longmapsto x=8-3[/tex]
[tex]\\ \sf\longmapsto x=5[/tex]
(x,y)=(5,-3)Solve for x. will give briniest
Answer:
x=12°
Step-by-step explanation:
property of triangles:
4x-2=180°-30°-100°=50°
[tex]4x+2=50[/tex]
[tex]4x=50-2=48[/tex]
[tex]x=\frac{48}{4} =12^{0}[/tex]
I hope this help you
Which line shows the first error in the solution? Three more than a number divided by 4 is -12. What is the number?
Explanation:
On the third line is where the student went from -12-3 to -9. This is not correct. Instead, it should be -12-3 turning into -15.
Think of it like being 12 feet under water (the number -12) and then moving 3 more feet deeper under water. You'll move down 3 to get to -15 to represent being 15 feet under water. Use a vertical number line if needed.
You can also compute -12-3 like 12+3 = 15, then just make everything negative. So -12-3 = -15
What is the perimeter of a rectangle with a length of 21 cm and a width of 37 cm?
Answer:
the awnser is 777 do length x width
d−21.4=87.9
il will give you brainlyest if you show your work
Answer:
d = 109.3
87.9 + 21.4 = 109.3
109.3 - 21.4 = 87.9
Answer:
d-21.4=87.9
Step-by-step explanation:
d=87.9+21.4
d=109.3
d=109.3/1
=109.3
The population of a town increases every year by 2% of the population
beginning of that year. The number of years by which the total increase of
population be 40% is
Answer:
Step-by-step explanation:
A = Pe^rt
A = 1.4P
r = 0.02
t = ?
e^0.02t = 1.4
ln both sides
0.02t = ln(1.4)
t = ln(1.4)/0.02
t ~ 16.8 years
1. A local charity is collecting food for the winter. They have asked 150
families to donate 5 cans of food. If 80% of the families donate 5 cans of
food, how many cans should the charity collect? *
The charity should collect 600 cans of food
Number of families that the charity asked to donate food = 150
80% of the families donated 5 cans of food
Number of families that actually donated 5 cans of food = (80/100) x 150
Number of families that actually donated 5 cans of food = 0.8 x 150
Number of families that actually donated 5 cans of food = 120
Number of cans donated by each family = 5
Number of cans donated by 120 families = 5 x 120
Number of cans donated by 120 families = 600
The charity should collect 600 cans of food
Learn more here: https://brainly.com/question/25458888
The difference between two numbers is 33 and the
ratio between them is 5 : 2. Find the numbers.
Answer:
55 and 22
Step-by-step explanation:
first let the numbers be x
5x-2x=33
3x=33
x=11
3(11)=33
5(11)=55
brainlist answer please
In a city of half a million, there are initially 800 cases of a particularly virulent strain of flu. The Centers for Disease Control and Prevention in Atlanta claims that the cumulative number of infections of this flu strain will increase by 40% per week if there are no limiting factors. Make a logistic model of the potential cumulative number of cases of flu as a function of weeks from initial outbreak, and determine how long it will be before 100,000 people are infected. (Round your answer to two decimal places.)
Using the logistic equation, it is found that:
The model is:[tex]P(t) = \frac{500000}{1 + 624e^{-0.4t}}[/tex]
It will take 10 days before 100,000 people are infected.The logistic equation for a population is given by:
[tex]P(t) = \frac{K}{1 + Ae^{-kt}}[/tex]
[tex]A = \frac{K - P(0)}{P(0)}[/tex]
In which:
K is the carrying capacity. P(0) is the initial value. k is the growth rate, as a decimal.In this problem:
Population of half a million, which is the carrying capacity, hence [tex]K = 50000[/tex].The strain increases by 40% per week, hence [tex]k = 0.4[/tex].Initially, there were 800 cases, hence [tex]P(0) = 800[/tex].Then:
[tex]A = \frac{500000 - 800}{800} = 624[/tex]
[tex]P(t) = \frac{500000}{1 + 624e^{-0.4t}}[/tex]
The time until 100,000 people are infected is t for which P(t) = 100000, hence:
[tex]P(t) = \frac{500000}{1 + 624e^{-0.4t}}[/tex]
[tex]100000 = \frac{500000}{1 + 624e^{-0.4t}}[/tex]
[tex]0.1 = \frac{1}{1 + 624e^{-0.4t}}[/tex]
[tex]0.1 + 62.4e^{-0.4t} = 1[/tex]
[tex]62.4e^{-0.4t} = 0.9[/tex]
[tex]e^{-0.4t} = \frac{0.9}{62.4}[/tex]
[tex]\ln{e^{-0.4t}} = \ln{\frac{0.9}{62.4}}[/tex]
[tex]-0.4t = \ln{\frac{0.9}{62.4}}[/tex]
[tex]t = -\frac{\ln{\frac{0.9}{62.4}}}{0.4}[/tex]
[tex]t = 10.6[/tex]
It will take 10 days before 100,000 people are infected.
A similar problem is given at https://brainly.com/question/25609786
