Answer:
4x+x=40
5x+40
x=8
8, 32
Step-by-step explanation:
Answer:
8 and 32 are the numbers
Step-by-step explanation:
4x + x = 40
4x + x= 5x
5x + 40
40/5= 8
x= 8
and
40-8= 32
x= 32
Consider the numbers z= sqr2 (cos 45º + i sin 45° )and w = 2(cos 90° + i sin 90).
Fill in the blanks to complete the statements.
In rectangular form, z - w = 1 - i
In polar form z-w=
= sqr2 (cos + i sin )
Answer:
RECTANGULAR FORM: z -w = 1- 1i
POLAR FORM: z-w = √2(cos135°+i sin135°)
Step-by-step explanation:
Find the image attached
Given the following complex numbers
z = √2 (cos 45º + i sin 45° )
w = 2(cos 90° + i sin 90).
The complex number in rectangular form is expressed as z = x+iy
(x, y) are the rectangular coordinates
Given
z = √2 (cos 45º + i sin 45° )
z = √2 (1/√2+ ( 1/√2)i )
z = √2(1/√2) + √2(1/√2)i
z = 1 + i .... 1
Also;
w = 2(cos 90° + i sin 90)
w = 2(0 + 1i)
w = 2(0) + 2i
w = 0+2i ....2
Take their difference:
z - w = 1 + i - (0+2i)
z-w = 1+i-0-2i
z-w = 1-0+i-2i
z-w = 1-i
Hence the values that goes into the box is 1.
z-w = 1 - 1i
In Polar form;
Get the modulus of the resulting complex number:
|z-w| = √1²+1²
|z-w| = √2
Get the argument:
[tex]\theta = tan^{-1}\frac{y}{x} \\\theta = tan^{-1}(\frac{-1}{1}) \\\theta = tan^{-1}(-1) \\\theta = -45^0[/tex]
Since tan is negative in the second quadrant, the angle will be 180-45 = 135°
The polar form of the complex umber is expressed as;
z-w = |z-w|(cosθ-isinθ)
z-w = √2(cos135°+i sin135°)
Answer: 1, 315, 315
Step-by-step explanation: right on edge
Write the following fractions in decreasing order: 4/7, 11/15, 2/3.
Answer:
11/15 4/7 2/3
Step-by-step explanation:
How far does th train go in 100 minutes
Answer:
it depends on the train
Step-by-step explanation:
Order the numbers from least to greatest
Answer:
1. sqrt of 7, sqrt of 22, 5
2. 2, sqrt 8, 3, sqrt 10
3. 2.5, sqrt 9, pi
4. pi, sqrt 10, 3.5
Step-by-step explanation:
???????????????????????
Answer:
x ≅ 7
Step-by-step explanation:
cos(67°) = x/18
x = 18cos(67°) ≅ 7
I will branilest this the correct answer
Which situation would require determining volume?
a. Rami wants to know how far it is around the border of his garden.
b. James wants to know how much dirt can fit into a box.
c. Aisha wants to know how much space her rug covers.
d. Eloise wants to know how tall her cabinet is.
Answer:
c. or d
Step-by-step explanation:
The answer is b. (James wants to know how much dirt can fit into a box)
This situation requires you to know the volume of the box so that you can know how much dirt to put in it.
Happy to help
you have been given an engine repair job that has a job time of 7 hours how many minutes should you allow for your job?
Answer:
[tex]Job\ Time = 420\ minutes[/tex]
Step-by-step explanation:
Given
[tex]Job\ Time = 7\ hours[/tex]
Required
Determine the job time in minutes
To do this, we simply convert the time to minutes.
[tex]1\ hour = 60\ minutes[/tex]
[tex]7\ hours = 7 * 60\ minutes[/tex]
So, we have:
[tex]Job\ Time = 7 * 60\ minutes[/tex]
[tex]Job\ Time = 420\ minutes[/tex]
Hence, the job time in minutes is 420 minutes
A sporting goods store sells 7 cans of tennis balls for every 3 tennis rackets. How many cans of tennis balls would be sold if 63 tennis rackets were sold?
need asap
Answer:
7×63=441
Step-by-step explanation:
441 cans of tennis
What is the opposite of 5/6?
Mrs. Barlow's math class took a test yesterday. Out of 70 students, 70% of them passed. How many of Mrs. Barlow's students passed the test?
Answer:
49 students passed the test
Step-by-step explanation:
70/100=0.07 - 1%
0.07*70=49
Javien purchases a video game for $19. The store charges him 8% sales tax on the purchase. How much will the store charge for the purchase, including the sales tax?
Answer:
$20.52
Step-by-step explanation:
19x0.08 (that's 8% or 8/100) = $1.52
$19+$1.52= $20.52 :)
Can u guys help me quick plz I will make brainliest (I need help with 32)plzzzz
Answer:
A
Step-by-step explanation:
Use one or more properties to rewrite each expression as an expression that does not use parentheses.
Answer:
b + 9
Step-by-step explanation:
Given:
(b + 3) + 6
Required:
Rewrite expression without the parentheses.
SOLUTION:
(b + 3) + 6
Eliminate the parentheses
b + 3 + 6
Add like terms
b + 9
Thus:
(b + 3) + 6 = b + 9
Find the value of x in the isosceles triangle shown below. 12 10 Choose 1 answer:
Answer:
please complete your question. where is figure.
4. Manuel, a son of a school janitor, does not ask for more. He has a daily
allowance of P10 a day which is 20% of his classmate's daily allowance. How
much is his classmate's daily allowance?
5. Carla, a grade six pupil
, has 24 sheets of art paper for his project in Math. If 6
sheets of art paper were used by Carla, what percent of the sheets of art paper
did she use?
Answer:
4. His classmate's daily allowance is of P100.
5. She used 25% of the sheets of art paper.
Step-by-step explanation:
4. Manuel, a son of a school janitor, does not ask for more. He has a daily
allowance of P10 a day which is 20% of his classmate's daily allowance. How much is his classmate's daily allowance?
An allowance of P10 a day is 20% of his classmate's allowance, that is, 20% of x. So
[tex]0.2x = 20[/tex]
[tex]x = \frac{20}{0.2}[/tex]
[tex]x = 100[/tex]
His classmate's daily allowance is of P100.
5. Carla, a grade six pupil , has 24 sheets of art paper for his project in Math. If 6 sheets of art paper were used by Carla, what percent of the sheets of art paper did she use?
She used 6 sheets, of the 24. So
[tex]P = \frac{6*100}{24} = \frac{100}{4} = 25[/tex]
She used 25% of the sheets of art paper.
WILL MARK BRAINLYIST!!
AND GIVE 20 POINTS!!
Use the slider to change the scale factor from 1 to 4. A
scale factor of 4 represent
a reduction
an enlargement
doubling
tripling
Answer:
B).Second choice an enlargement.
Step-by-step explanation:
Answer:
B. An Enlargement
Step-by-step explanation:
Hope this helps:)
Use the formula
d
=
(
r
−
c
)
t
to find
c
if
d
=
20
,
r
=
13
, and
t
=
4
.
Answer:
c = 8
Step-by-step explanation:
d=(r-c) t=?
20=(13-c)4=?
(13-c) * 4/ 4 =20/4
13-c=5
13-c-13=5-13
-c= -8
-c/-1 = -8/-1
answer is c=8
PQR is a translation of PQR. What are the rules?
Answer:
Step-by-step explanation:
Solve the equation: (again, watch your negative signs) 1/3 (x - 10) = -4
pls help me!...
Answer:
x = -22
Step-by-step explanation:
first you distribute the 1/3 to x and -10 and get
1/3x - 10/3 = -4
then add -10/3 to both sides and get
1/3x = -22/3
then divide both sides by 1/3 and get
x = -66/3
(-66/3 simplified is -22)
hope this helped lol
Pleaseee help I’m so close to passing math
Answer:
s=0.20p
Step-by-step explanation:
Tell me if I am wrong
Help fast functions help
C because there can't be two different outputs for the same input.
Help plz:)))I’ll mark u Brainliest
Answer:
The answer to the question provided is B.
__% of 80 is 40 What is the blank
Answer:
50
Step-by-step explanation:
40/80 = 1/2
1/2 ⇆ 0.5 ⇄ 50%
Verify identities Will give BRAINLIST do not give me trash!!
cot^2(x) - csc^2(x) = -1
show steps
Answer:
See proof below
Step-by-step explanation
cot^2(x) - csc^2(x) = -1
In trigonometry identity
cot^2x = cos²x/sin²x
Csc²x = 1/sin²x
Substitute into the original expression
cos²x/sin²x - 1/sin²x
Find the LCM
(Cos²x-1)/sin²x .... *
Recall that sin²x+cos²x = 1
Sin²x = 1-cos²x
-sin²x = -1+cos²x
-sin²x = cos²x-1 .... **
Substitute ** into *
(Cos²x-1)/sin²x
-sin²x/sin²x
= -1 (RHS)
Therefore cot^2(x) - csc^2(x) = -1 (Proved!)
A video game gives a special bonus when the player collects a coin if the player collects the coin at the
moment when the last digit of the milliseconds in the game's timer equals 1. Players don't see this timer, so
all 10 digits are equally likely, and there is a 1 in 10 chance that a player gets the bonus on any given coin
collected. Let C be the number of coins a player has to collect to first get the bonus. Assume that the last
digits are independent of each other.
Answer:
.07
Step-by-step explanation:
khan answer
Probabilities are used to determine the chances of events.
The probability that the player gets the bonus on the 4th coin is 0.0729
The probability (p) of getting a bonus is given as:
[tex]p = \frac 1{10}[/tex]
The probability (q) of not getting a bonus is calculated using the complement rule:
[tex]q = 1 - p[/tex]
So, we have:
[tex]q = 1 - \frac{1}{10}[/tex]
Take LCM
[tex]q =\frac{10 - 1}{10}[/tex]
[tex]q =\frac{9}{10}[/tex]
The event that the player gets the bonus on the 4th coin is represented as:
Event = qqqp
So, the probability is:
[tex]Pr = q^3p[/tex]
Substitute values for q and p
[tex]Pr = (9/10)^3 \times (1/10)[/tex]
Express as decimals
[tex]Pr = (0.90)^3 \times 0.10[/tex]
Multiply
[tex]Pr = 0.0729[/tex]
Hence, the probability that the player gets the bonus on the 4th coin is 0.0729
Read more about probability at:
https://brainly.com/question/7965468
HELP
Factor
6x^2+10x-4
Answer:
46x-4 i think
6x^2= 36x
36x + 10x = 46x
so 46x-4 is the answer
help with geometry PLEASE!
What is the area of the figure?
ignore that I've already clicked an option that was on accident.
Answer:
D i think
Step-by-step explanation:
Find the complement and supplement of the given angle 43 degrees
Answer:
The complement is 47° and the supplement is 137°.
Step-by-step explanation:
Complementary and Supplementary Angles
When the sum of two angles is equal to 90 degrees, they are called complementary angles. Similarly, if the sum of two angles is 180 degrees, they are called supplementary angles.
We are given an angle of 43 degrees. Its complementary angle is 90° - 43° = 47°, and its supplementary angle is 180° - 43° = 137°.
The complement is 47° and the supplement is 137°.
Find the value of x in the figure below:
Answer:
let remaining angle in heptagon be a.
a+64=180(linear pair)
a=116
again
x+155+90+163+a+121°=720(sum of interior angle of hexagon is (6-2)×180°)
x+529+a=720
x+116=720-529
x=191-116=75