Answer:
[tex](\sqrt{2}, \frac{7\pi }{4})[/tex] or
[tex](\sqrt{2},5.5)[/tex] (using the angle in the radian form)
Step-by-step explanation:
Here, we want to write the given rectangular coordinate in its polar form
Mathematically, we start by identifying the quadrant in which we have the point
The point is located in the the fourth quadrant
We have the general polar coordinate form as;
(r,θ)
where;
[tex]r = \sqrt({x}^{2} +y^{2} )\\\\r = \sqrt({-1}^2+1^2) = \sqrt2[/tex]
We have the theta value calculated as;
theta = arc tan (y/x)
y = -1 and x = 1
theta = arc tan (-1/1)
theta = arc tan (-1)
theta = 45+270 = 315
So, we have the polar coordinate expression as;
[tex](\sqrt{2}, \frac{7\pi }{4})[/tex]
or in radians as;
[tex](\sqrt{2}, 5.5)[/tex]
Find the value of x.
Answer:
x = 5
Step-by-step explanation:
14x + 22x = 180
36x = 180
x = 5
Answer:
[tex]\huge\boxed{⎆Answer\hookrightarrow}[/tex]
The 2 angles in the given picture form supplementary angles. So, together they'll add up to 180°.
[tex]14x + 22x = 180 \\ 36x = 180 \\ x = \frac{180}{36} \\ x = 5[/tex]
⇻ The value of X is 5.
Find the equationFind the equation (in terms of
x
) of the line through the points (-4,-5) and (3,5) (in terms of x ) of the line through the points (-4,-5) and (3,5)
Answer:
Step-by-step explanation:
Given the following data;
Points on the x-axis (x1, x2) = (-4, 3)
Points on the y-axis (y1, y2) = (-5, 5)
To find the equation of line in terms of x;
First of all, we would determine the slope of the line;
Mathematically, slope is given by the formula;
[tex] Slope = \frac{Change \; in \; y \; axis}{Change \; in \; x \; axis} [/tex]
[tex] Slope, m = \frac {y_{2} - y_{1}}{x_{2} - x_{1}} [/tex]
Substituting into the equation, we have;
[tex] Slope, m = \frac {5 - (-5)}{3 - (-4)} [/tex]
[tex] Slope, m = \frac {10}{7} [/tex]
Slope, m = 10/7
Next, we find the equation;
y - y1 = m(x - x1)
y - (-5) = 10/7(x -(-4))
y + 5 = 10/7(x +4)
Define the Variable, state the equation and solve for unknown
One-fourth the sum of twice a number and 7 is the same as the product of 3 and a number.
Give the right answer or I will report you :)
Answer:
0.7
Step-by-step explanation:
Use the parameter (x) to express the unknown quantity. Now express the given information as an equation.
[tex]\frac{1}{4}(2x+7)=3x[/tex]
Inverse operations,
[tex]2x+7=12x[/tex]
[tex]7=10x[/tex]
[tex]x=0.7[/tex]
what's ur fav show I'm looking for recommendations
Answer:
rn its currently gossip girl and Miraculous...but im watching game of thrones rn and I AM OBSESSED
Step-by-step explanation:
Answer:
For Anime Shows, Danganronpa, Naruto, Fruits Basket, and Attack on Titan! I love them all.
And for like just TV shows, Miraculous
What is the area of the parallelogram shown below in square units? 9 units 20 units
Answer
160
Step-by-step explanation:
Answer:
A=180
Step-by-step explanation:
Base = 20
Height = 9
A = bh
A = 20 x 9
A = 180
Please Mark As Brainliest
Question 11:
A diesel train traveled to Johannesburg and back. The trip there took 6 hours and
the trip back took 9 hours. It averaged 23 miles per hour faster on the trip there
than on the return trip. Find the diesel train's average speed on the outbound (first
part traveling to Johannesburg) trip.
Answer:
69 miles per hour
Step-by-step explanation:
Given
Trip to:
[tex]t_1 = 6[/tex] --- time
[tex]s_1 = 23 + s_2[/tex]
Trip back
[tex]t_2 = 9[/tex]
Required
Determine the average speed to Johannesburg
Average speed is calculated as:
[tex]speed = \frac{distance}{time}[/tex]
Make distance the subject
[tex]distance = speed * time[/tex]
Since distance is constant, then:
[tex]s_1 * t_1 = s_2 * t_2[/tex]
This gives:
[tex](23 + s_2) * 6 = s_2 * 9[/tex]
Open bracket
[tex]138 + 6s_2 = 9s_2[/tex]
Collect like terms
[tex]9s_2 - 6s_2 = 138[/tex]
[tex]3s_2 = 138[/tex]
Solve for s2
[tex]s_2 = 138/3[/tex]
[tex]s_2 = 46[/tex]
Recall that:
[tex]s_1 = 23 + s_2[/tex]
[tex]s_1 = 23 + 46[/tex]
[tex]s_1 = 69[/tex]
Jonelle selects a student loan repayment plan with a 20-year term. One
downside is
 !!!MAJOR HELP AND NO LINKS AND IF YOU DONT KNOW BUT YOU STILL ANSWER, I WILL REPORT IF YOU SAY SOMETHING THAT IS NOT AN ANSWER!!!
Image above
Answer:
Its the second one because
Step-by-step explanation:4/6-473*329+4= y=x+3
Three potential employees took an aptitude test. Each person took a different version of the test. The scores are reported below. Demetria got a score of 85.185.1; this version has a mean of 61.1 and a standard deviation of 12. Vincent got a score of 299.2; this version has a mean of 264 and a standard deviation of 22. Tobias got a score of 7.26; this version has a mean of 7.1 and a standard deviation of 0.4.
Required:
If the company has only one position to fill and prefers to fill it with the applicant who performed best on the aptitude test, which of the applicants should be offered the job?
Answer:
Due to the higher Z-score, Demetria should be offered the job.
Step-by-step explanation:
Z-score:
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
In this question:
Whichever applicant had grade with the highest z-score should be offered the job.
Demetria got a score of 85.1; this version has a mean of 61.1 and a standard deviation of 12.
For Demetria, we have [tex]X = 85.1, \mu = 61.1, \sigma = 12[/tex]. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{85.1 - 61.1}{12}[/tex]
[tex]Z = 2[/tex]
Vincent got a score of 299.2; this version has a mean of 264 and a standard deviation of 22.
For Vincent, we have [tex]X = 299.2, \mu = 264, \sigma = 22[/tex].
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{299.2 - 264}{22}[/tex]
[tex]Z = 1.6[/tex]
Tobias got a score of 7.26; this version has a mean of 7.1 and a standard deviation of 0.4.
For Tobias, we have [tex]X = 7.26, \mu = 7.1, \sigma = 0.4[/tex].
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{7.26 - 7.1}{0.4}[/tex]
[tex]Z = 0.4[/tex]
Due to the higher Z-score, Demetria should be offered the job.
Determine the volume if the figures below round to the nearest hundredth
Answer:
48 m³
4,186.67 km³
Step-by-step explanation:
volume of pyramid =
⅓×6×6×4 = 48 m³
volume of ball =
4/3 × 3.14 × 10³ = 4,186.67 km³
5 + {[2 X (14 - 9)] - 1}
Answer:
14
Step-by-step explanation:
[tex] 5 + (2 \times (14 - 9) - 1) \\ = 5 + (2 \times 5) - 1 \\ = 5 + (10 - 1) \\ = 5 + 9 \\ = 14[/tex]
Solve For w
and X
x?
Answer:
w = 12.79
x = 5.81
Step-by-step explanation:
First, solve for w:
Find the last angle of the triangle. The sum of all the angles in a triangle is
180 degrees.
A+90+52=180, this gives you angle A as 38. Use this to find w
The cosine of an angle is equal to the ratio of the adjacent side to the hypotenuse.
Cos(B) = adj/hyp so Cos(B) = a/c rewrite as
c=10/Cos(B) or c = 10/0.61566147
c= 16.24
Now find the last side of the triangle using the Pythagorean theorem.
[tex]a^{2} +b^{2} =c^{2} \\or\\b^{2} = c^{2} -a^{2}[/tex]
which gives you b or in this case w = 12.79
You then need w for the 2nd triangle as well as the angle 31 and the angle next to 52, which is 180-52 = 128. The other missing angle x to the triangle is 180-31-128 = 21
The law of sines is based on the proportionality of sides and angles in triangles. The law states that for the angles of a non-right triangle, each angle of the triangle has the same ratio of angle measure to sine value.
sin(x)/x=sin(B)/b=sin(C)/c
sin31/b=sin(128)/12.79 = 8.359 then
sin21/x = sin31/8.359
therefor x = 5.81
5d what is d♀️♀️♀️♀️♀️♀️
Answer:
A Variable is a symbol for a number we don't know yet
Its called a constant
Plz help Desperate, question in photo
Answer:
The answer is 6 and 12
Step-by-step explanation:
1x3= 3
6×3= 18
2×3=6
4×3=12
Consider the arithmetic sequence:
3,5,7,9,..,
If n is an integer, which of these functions generate the sequence?
Choose all answers that apply:
a(n)=3+2n for n≥0
b(n)=3n for n≥1
c(n)=-1+2n for n≥2
d(n)=-6+3n for n≥3
[tex]a(n) = 3 + 2n[/tex] for [tex]n \ge 0[/tex] functions generate the arithmetic sequence.
What is arithmetic sequence?It is a "sequence where the differences between every two successive terms are the same" (or) In an arithmetic sequence, "every term is obtained by adding a fixed number (positive or negative or zero) to its previous term".
The first term of an arithmetic sequence is a, its common difference is d, n is the number of terms.
Arithmetic sequence formula is given as, [tex]a_{n} =a+(n-1)d[/tex].
Given arithmetic sequence
[tex]3, 5, 7, 9,.....[/tex]
n is an integer
[tex]a = 3[/tex]
By considering the above arithmetic sequence, we can say that each term in the sequence is in the form of 3 + 2n, where , n ≥ 0.
So, the correct option is A
[tex]a(n) = 3 + 2n[/tex] for [tex]n \ge 0[/tex]
Thus, [tex]a(n) = 3 + 2n[/tex] for [tex]n \ge 0[/tex] functions generate the arithmetic sequence.
Find out more information about arithmetic sequence here
https://brainly.com/question/15412619
#SPJ3
Find the missing side lengths, leave your answers as radical in simplest form. ( Please answer ASAP!)
Answer:
9) a = 8, b = 4√2
10) x = 7√2, y = 7
11) x = 5√2, y = 5
12) a = 10, b = 5√2
Step-by-step explanation:
You can notice all these triangles are special as 45° - 45° - 90° triangles. In 45° - 45° - 90° triangles, the hypotenuse is √2 times the sides. We can set up these equations and solve:
9)
a = 4√2 * √2
a = 8
Since the triangle is isosceles, the legs are the same length, so:
b = 4√2
10)
x = 7 * √2
x = 7√2
Since the triangle is isosceles, the legs are the same length, so:
y = 7
11)
x = 5 * √2
x = 5√2
Since the triangle is isosceles, the legs are the same length, so:
y = 5
12)
a = 5√2 * √2
a = 10
Since the triangle is isosceles, the legs are the same length, so:
b = 5√2
PQRS. is a rectangle . find angle OPS if angle QOR is given
Please give full explanation i will mark you as brain list plzz kuch bakwaas mat likhana warna report kar dungi
Answer:
[tex]\angle OPS = 142^\circ[/tex]
Step-by-step explanation:
Given
The attached rectangle
[tex]\angle QOR = 142^\circ[/tex]
Required
Determine [tex]\angle OPS[/tex]
[tex]\angle OPS = \angle QOR[/tex] --- vertically opposite angles
Hence:
[tex]\angle OPS = 142^\circ[/tex]
A right rectangular prism has a volume of 470.40 cm³. The length of the solid is 6.4 cm and the width is 9.8 cm.
What is the height of the right rectangular prism?
Answer: 720.3
Step-by-step explanation:
First you divide 6.4 by 9.8 then you divide by 470.40 to get 720.3
Hope this helps
I NEED HELP !! PICTURE IS UP THERE ^
In the figure below, m_2=81º. Find mZ1, mZ3, and mZ4.m 21 =21m 23 =34m 2 4 =
PLEASE HELP MEE IM STRUGGLING I DONT GET THIS AT ALL!!
Answer:
[tex]\angle 1 = 99^\circ[/tex]
[tex]\angle 3 = 99^\circ[/tex]
[tex]\angle 4 = 81^\circ[/tex]
Step-by-step explanation:
Given
[tex]\angle 2 = 81^\circ[/tex]
Required
Determine: [tex]\angle 1 . \angle 3 , \angle 4[/tex]
Solving for [tex]\angle 1[/tex], we have:
[tex]\angle 2 + \angle 1 = 180^\circ[/tex] --- angle on a straight line
So, we have:
[tex]\angle 1 = 180^\circ-\angle 2[/tex]
[tex]\angle 1 = 180^\circ-81^\circ[/tex]
[tex]\angle 1 = 99^\circ[/tex]
To solve for [tex]\angle 3, \angle 4[/tex], we have:
[tex]\angle 3 = \angle 1[/tex]
[tex]\angle 4 = \angle 2[/tex] --- Vertically opposite angles
So:
[tex]\angle 4 = 81^\circ[/tex]
[tex]\angle 3 = 99^\circ[/tex]
In A Quiz Team a Scores -30 , 10 , 40 .
Team B scores 30 , 10 , -10 In Three Rounds.
Which Team Scored More . By How much
Answer:
Team B scored more. By 10.
(Team A) -30 + 10 = -20 + 40 = 20
(Team B) 30 + 10 = 40 + -10 = 30
Pls help The question is in the photo pls put A B C OR D
Answer:
Ans option B --- A,B are rectangles
Step-by-step explanation:
using the pythagorean theorem, calculate the length of the missing sides (c1, c2, c3)
Answer:
the Pythagorean theorem states: a^2 + b^2 = c^2
1) in this case a=18 and b1=25
18^2 + 25^2 = c1^2
324 + 625 = c1^2
949 = c1^2
√949 = c1
cca. 30.8 = c1
2) in this case a=18 and b' = b2 - b1 = 40 - 25 = 15
in the picture im attaching i highlighted the triangles we are working with, and there you can clearly see that b' (the horizontal line at the bottom of the red tr.) is the difference between the lines b2 and b1
now you can use the same technique as in the first case, and the final answer will be cca. 23.4 = c2
3) in this case a=18 and b'' = b4 - b3 = 75 - 55 = 20
same thing as number 2, final answer cca. 26.9 = c3
If A = {2, 3, 4, 5} B = {4, 5, 6, 7} C = {6, 7, 8, 9} D = {8, 9, 10, 11}, find (A ∪ B) ∪ C
Answer:
(AUB)UC=2,3,4,5,6,7,8,9
put all these numbers inside curly bracket
Step-by-step explanation:
Convert from 12 hour times to 24 hour clock.
Sr. #
12 hour clock
24 hour clock
i.
7:20 am
3:25 pm
1:16 pm
iv.
12:51 am
ans
Answer: See explanation
Step-by-step explanation:
To convert from 12 hours time to 24 hours time, we've to add 12 to it in the afternoon. Also, the 12 hours clock uses a.m and p.m while the 24 hours doesn't
i. 7:20 am = 07:20
ii. 3:25 pm = 15:25
iii. 1:16 pm = 13:16
iv. 12:51 am = 00:51
PLZZZ HELPPP!! THIS IS TIMEDDD!!!! *look at picture*
A ABC is a dilation of A JHG centered at the origin.
Find the scale factor of the dilation.
A. 3
B. 4
C. 2
D. 8
Answer:
d
Step-by-step explanation:
One species makes up 40% of the apes in the zoo. Which species is it?
Answer:
The chimpanzee of course
Step-by-step explanation:
bottom text.
Answer:
chimpanzee
Step-by-step explanation:
total is 50 so 20*2 is 40%
Which value of x is a solution of x < -2?
A.
-3
B. -2
C.
-1
D. 0
Answer:
A
Step-by-step explanation:
-3<-2
I'm giving branliest if you just help me with this.
Answer:
x=180-35
x = 145,,,,,,,
Answer:
145°
Step-by-step explanation:
180 + x+ 35=360
x=360 - 215
x=145
What is the best way to gather information for each of the scenarios? Select Survey, Experiment, or Observational study for each scenario. Survey Experiment Observational study A director wants to know what his singers do before a performance. Survey – A director wants to know what his singers do before a performance. Experiment – A director wants to know what his singers do before a performance. Observational study – A director wants to know what his singers do before a performance. A director wants to know who his best soprano is. Survey – A director wants to know who his best soprano is. Experiment – A director wants to know who his best soprano is. Observational study – A director wants to know who his best soprano is. A director wants to know how verbally disciplining a singer affects the group. Survey – A director wants to know how verbally disciplining a singer affects the group. Experiment – A director wants to know how verbally disciplining a singer affects the group. Observational study – A director wants to know how verbally disciplining a singer affects the group. A director wants to know what musical is the most popular in the community. Survey – A director wants to know what musical is the most popular in the community. Experiment – A director wants to know what musical is the most popular in the community. Observational study – A director wants to know what musical is the most popular in the community.
Answer:
1. A director wants to know what his singers do before a performance. - Survey
2. A director wants to know who his best soprano is. - Observational Study
3. A director wants to know how verbally disciplining a singer affects the group. - Observational Study
4. A director wants to know what musical is the most popular in the community. - Survey
Step-by-step explanation:
I just took the same quiz :)
Help please! Much appreciated
Answer:
a. Sin B = 15/17
b. Cos B = 8/17
c. Tan B = 15/8
Step-by-step explanation:
Recall: SOHCAHTOA
Reference angle = B
Opp = 15
Adjacent = 8
Hypotenuse = 17
a. Sin B = Opp/Hyp (applying SOH)
Substitute
Sin B = 15/17
b. Cos B = Adj/Hyp
Substitute
Cos B = 8/17
c. Tan B = Opp/Adj
Substitute
Tan B = 15/8