Answer:
TRUE
Step-by-step explanation:
A complex number is represented as z = x + iy
Given the complex number -5i, this can also be written as;
z = 0-5i
Get the modulus
|z| = √0²+(-5)²
|z| = √25
|z| = 5
Get the argument
theta = arctan(y/x)
theta = arctan(-5/0)
theta = arctan(-∞)
theta = -90degrees
Since tan is negative in the 2nd and fourth quadrant
in the fourth quadrant, theta - 360 - 90
theta = 270 degrees
Express in polar form;
z = |z|(cos theta + i sintheta)
z = 5(cos270°+ison270°)
Hence the statement given is TRUE
Answer:
truue
Step-by-step explanation:
just did the quiz on edg
Gloria come las dos quintas partes de un pastel y luego le da a su hermano la cuarta parte de lo que le queda.
Me ayudas?
Answer:
3/20 I think
Step-by-step explanation:
Mindy's dog, Rex, weighed 80 pounds a year ago. Now he weighs 92 pounds. What is the percent increase in his weight?
Answer:
the answer is 13% I hope it helps
Answer:
B. 15%
Step-by-step explanation:
What is the range of the data set? {43.2, 46.8, 44.5, 46.8, 44.2, 41.9, 45.8, 46.9, 41.2, 46.8, 44.1}
Answer:
the range of this answer is 5.6
All the sides of a quadrilateral measure 5 cm. What else must be true about this shape? Select all that apply. a.The diagonals are congruent. b.The diagonals are perpendicular. c.Consecutive angles are congruent. d. Opposite angles are congruent.
Answer:
a.The diagonals are congruent.
d. Opposite angles are congruent.
Step-by-step explanation:
From the above question, we are told that:
All the sides of a quadrilateral measure 5 cm.
This means this quadrilateral is a square.
The properties of a square states that:
1) Opposite sides of a square are equal each other or congruent.
2) Opposite angles are equal each other or congruent
3) Consecutive angles of a square are supplementary angles which means that they add up to 180.
4) A square has two diagonals and they are congruent or equal to one another.
Therefore, the correct options are options a and d
On a cm grid, point P has coordinates (3,-1) and point Q has coordinates (-5,6) calculate the shortest distance between P and Q
Answer:
10.63cm
Step-by-step explanation:
The formula for calculating the distance between two coordinate is expressed as;
D = √(x2-x1)²+(y2-y1)²
Given the coordinates (3, -1) and (-5, 6)
D = √(-5-3)²+(6-(-1))²
D = √(-5-3)²+(6+1)²
D = √(-8)²+(7)²
D = √64+49
D = √113
D = 10.63cm
Hence the shortest distance between P and Q is 10.63cm
HELP!!!! IT'S DUE TONIGHT!!!!!!!!!!!!
What is the measure of arc AC? Pls explain and I will mark brainliest!
Answer:
D. 146°Step-by-step explanation:
Arcs in the circle sum to 360°
Arc AB = 2*∠C = 2*(48°) = 96°Arc BC = 138° - givenArc AC = 360° - (96° + 118°) = 146°Mikayla caught a value pack of crackers for $6.72. The value pack had 24 individually wrapped crackers packages. Solve 24x = $6.72 to find the cost per package in dollars.
Answer:
0.28$
Step-by-step explanation:
divide
Infrared, ultraviolet and visible light are
all part of the electromagnetic spectrum.
The basic difference between them is
their
source
speed
wavelength
Temperture
can you help me please
Answer:
437.3 ft
Step-by-step explanation:
By sine rule:
[tex] \frac{x}{ \sin(90 - 29) \degree} = \frac{500}{ \sin \: 90 \degree} \\ \\ \frac{x}{ \sin 61 \degree} = \frac{500}{1} \\ \\ x = 500\sin 61 \degree \\ \\ x = 500 \times 0.8746197071 \\ \\ x = 437.309854 \\ \\ x = 437.3 \: ft[/tex]
Answer:
437.3 ftStep-by-step explanation:
ΔA = 90° - 29°
= 61°
sin A = perpendicular ÷ hypotenuse
sin 61° = x ÷ 500 ft
0.8746 = x ÷ 500 ft
x = 500 × 0.8746
x = 437.3 ft
plz follow me
calculate 41% 0f 51kg
Answer:
20.91kg
Step-by-step explanation:
Amount = .41 * 51 = 20.91kg
A window washer on a ladder looks at a nearby building 102 ft away, noting that
the angle of elevation to the top of the building is 13.7° and the angle of
depression to the bottom of the building is 4.4°. How tall is the nearby building?
ok
The building nearby is blank feet tall.
(Round the final answer to the nearest foot as needed.
Answer:
about 32.71 feet
Step-by-step explanation:
see attached picture
The height of the building is 32.7 ft.
Given that, a window washer on a ladder looks at a nearby building 102 ft away, noting that the angle of elevation to the top of the building is 13.7° and the angle of depression to the bottom of the building is 4.4°.
We need to find the height of the building.
How do you find height and distance?So if we know the height of the object and the linear distance, we can easily find out the angle by trigonometric formula. It is given by tan = Height / distance.
Now, tan 4.4°=x/102
⇒x=7.84 ft
tan 13.7°=y/102
⇒y=24.86 ft
Height of the building=x+y=7.84+24.86=32.7 ft
Therefore, the height of the building is 32.7 ft.
To learn more about trigonometric ratios visit:
https://brainly.com/question/23130410.
#SPJ2
Y=x(4)/2+3x(3)-2x-12
Answer:
[tex]\displaystyle y' = -2x^3 + 9x^2 - 2[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/CoefficientsCalculus
Derivatives
Derivative Notation
Derivative of a constant is 0
Basic Power Rule:
f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹Step-by-step explanation:
Step 1: Define
[tex]\displaystyle y = -\frac{x^4}{2} + 3x^3 - 2x - 12[/tex]
Step 2: Differentiate
Basic Power Rule: [tex]\displaystyle y' = -\frac{4x^{4 - 1}}{2} + 3 \cdot 3x^{3 - 1} - 1 \cdot 2x^{1 - 1}[/tex]Simplify Exponents: [tex]\displaystyle y' = -\frac{4x^3}{2} + 3 \cdot 3x^2 - 1 \cdot 2[/tex]Divide: [tex]\displaystyle y' = -2x^3 + 3 \cdot 3x^2 - 1 \cdot 2[/tex]Multiply: [tex]\displaystyle y' = -2x^3 + 9x^2 - 2[/tex]Identify the term that completes the equation.
XZ2=(WZ)(?)
Answers:
WZ
XW
XZ
YZ
Answer:
1: b. YZ, see "geometric mean theorem" in Wikipedia
2: a. sin Y = 7.4/10.9 ≈ 0.68, sine = opposite/hypotenuse
3: c. tan P = 8.5/16 ≈ 0.53, tangent=opposite/adjacent
4: a. AC = 11.7, sine = opposite/hypotenuse, sin(43) = 8/AC
5. KM = 10.68 use Pythagorean Theorem
measure of angle M = 35 degrees, use definition of tangent
measure of angle K = 55 degrees, M and K are complementary angle
Step-by-step explanation:
i hope this help
The term that completes the equation is YZ.
Option D is the correct answer.
We have,
From the figure,
∆WXY and ∆XYZ
∠WXY = ∠XZY = 90
∠ZYX = ∠XYW (common angle)
∆WXY ≅ ∆XYZ
And,
∆WXY and ∆WXZ
∠WXY = ∠WZX = 90
∠YWX = ∠XWZ (common angle)
∆WXY ≅ ∆WXZ
Now,
From (1) and (2),
∆XYZ ≅ ∆WXZ
This means,
The corresponding sides are proportional.
We can write as,
YZ/XZ = XZ/ZW
XZ² = WZ x YZ
Thus,
The term that completes the equation is YZ.
Learn more about triangle congruency here:
https://brainly.com/question/12413243
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help me, please !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1
Answer:
The first one is the answer
Describe a time when you use math outside of school ( pls I need help with this writing prompt)
Answer:
Counting my money
Step-by-step explanation:
Answer: You use it in gardening if you need to plant or sow new seeds or seedlings you need to make a row or count them out or even make holes. So even without thinking you are doing math. Measuring skills is always needed, and calculations of the essence when doing something new in the garden. You also use in it the kitchen Every ingredient has to be measured and sometimes you need to multiply or divide to get the exact amount you need.
y+8=x/2 linear or nonlinear
answer : linear
source: trust me people
Explain how you can use slope-intercept form to write an equation of a line given its slope and y-intercept
Substitute the slope for
and the y-intercept for
in the slope-intercept form
Answer:
Step-by-step explanation:
example
we are given: slope = 5, y-intercept = 9
y=mx+b
we just plug it in
y=5x+9
11=p-7-3p
Please help me
Answer:
p=-9
Step-by-step explanation:
11= p-7-3p
you can slove p-3p now which is -2p, then add -7 to both sides.
18=-2p
then divide by -2
p=-9
Mrs. Cho is bringing cans and bottles to a recycling center. For a type A can, she gets 5 cents. For type B can, she gets 10 cents. She knows that she has redeemed at least 11 cans but has no more than 95cents. What are the possible combinations?
Answer:
One possible solution be -
Mrs. Cho is brings type A cans = 10
Mrs. Cho is brings type B cans = 3
Step-by-step explanation:
Let us assume
Mrs. Cho is brings type A cans = x
Mrs. Cho is brings type B cans = y
As given,
For a type A can, she gets 5 cents and For type B can, she gets 10 cents
As we have x Type A cans and y Type B cans
And she has redeemed no more than 95 cents
⇒5x + 10y ≤ 95 .......(1)
Also given,
She has redeemed at least 11 cans
⇒ x + y ≥ 11 ........(2)
∴ we get
x + y ≥ 11
5x + 10y ≤ 95
By applying graphical method , we get
The equations become
5x + 10y = 95 .......(1)
x + y = 11 ........(2)
Table for equation (1) -
x y
0 9.5
19 0
Table for equation (2) -
x y
0 11
11 0
The two lines intersect at point (3, 8)
So the possible combinations are in the shaded portion which is covered by both the lines.
One possible combination is ( 10, 3) which lies in the shaded region.
So,
Mrs. Cho is brings type A cans = x = 10
Mrs. Cho is brings type B cans = y = 3
Three houses are sold for:
£187000, £253000 and £141000
The company earns 2% commission on
each house.
What is the total commission earned?
Answer:
11,620$
p-by-step explanation:
Help with some of my homework, please and thank you
Answer:
C is right
Step-by-step explanation:
:))
PLEASE HELP!! 20 POINTS!
- ✓ 81+ ✓–49 + ✓ 25+ ✓-1
Answer:
Step-by-step explanation:
=-9+7i+5+i
=-4+8i
Answer:
It's indeterminate; because a negative number can't have an rational root when goes under an even radical.
Robin can run 1.71 kilometers in 10 minutes. How far can she run in 1.5 hours?
Answer:
I think is 15.39 kilometers
Step-by-step explanation:
1 hour=60 minutes +.5 hours =90 minutes = 9 x 1.71 = 15.39
Pedro read
1/4
of a book in the morning, and he read some more at night. By the end of the day, he still had
1/3
of the book left to read. How much of the book did Pedro read at night? write you answer as a mixed number!! Your help means the world to me. ill mark brainly! 16 points!
9514 1404 393
Answer:
5/12
Step-by-step explanation:
Since Pedro had 1/3 of the book remaining at the end of the day, he had read a total of 2/3 of the book. If n represents the amount read at night, you have ...
1/4 + n = 2/3
3 +12n = 8 . . . . . multiply by 12
12n = 5 . . . . . . . .subtract 3
n = 5/12 . . . . . . divide by 12
Pedro read 5/12 of the book at night.
_____
Since Pedro reads only a fraction of the book, it is not a "mixed number."
__
The solution is equivalent to finding the difference ...
2/3 - 1/4
= 8/12 - 3/12 = 5/12
Lines De and AB are parallel.
D
C
E
B
А
Which angles represent alternate interior angles?
angles A and C
angles B and D
angles C, D, and E
angles B and C
Answer:
option 2
angles B and D are the alternate interior angles
lines DE and AB being parallel lines and and line BC being the transversal
Answer:
The answer is B and D
Step-by-step explanation:
Confirmed
The movie club is having a new member sale, so Mindy signs up. The equation -0.4x + 0.05y - 1.25 = 0 relates y, the total cost, and x, the number of months. What is the y-intercept of the line represented by the equation?
Answer:
Y intercept : ( 0 , 25 )
Step-by-step explanation:
Answer:
(0, 25)Step-by-step explanation:
We need to convert function to slope-intrcept form y=mx+b, where:
-0.4x + 0.05y - 1.25 = 0 {multiply both sides by 20}
-8x + y - 25 = 0 {add (8x+25) to both sides}
y = 8x + 25 ⇒ b = 25
Therefore y-intercept of the line is (0, 25)
Solve for x, please!
Answer:
45
Step-by-step explanation:
Answer:
30 + 70 + 2x-10=180
90+2x=180
2x=180-90
x=90/2
x=45
X=45
Hope it helps
i need help now pleaseeee
Answer:
y=75° (opposite angle of parallelogramare equal)
x+8=16(opposite sides are equal)
x=16-8
x=8
Answer:
y=75
x=8
Step-by-step explanation:
Hope this helped!
The population of a city decreases by 1.6% per year. If this year's population is 320,000, what will next year's population be, to the nearest individual?
Answer:
314,880
Step-by-step explanation:
If the population decreases by 1.6% per year, this means the population is 98.4% of the population of the previous year. What this means is we can multiply the current population, 320,000, by 98.4/100, as 98.4/100 is equivalent to 98.4%. This gets us 314,880.
Answer:
314880
Step-by-step explanation: