Answer:
True.
Step-by-step explanation:
given equation: (tan x - 1)/(tan x + 1) = (1 - cot x)/(1 + cot x)
1. manipulate the right side by using trigonometric identities
(tan(x) - 1)/(tan(x) + 1) = (-cos(x) + sin(x))/(cos(x) + sin(x))
2. manipulate the right side by using trigonometric identities
(-cos(x) + sin(x))/(cos(x) + sin(x)) = (-cos(x) + sin(x))/(cos(x) + sin(x))
Both sides of the equation are now equal -> (tan x - 1)/(tan x + 1) = (1 - cot x)/(1 + cot x) is true.
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Answer:
Step-by-step explanation:
To find each probability you will state the probability of the first event happening and multiply it by the chance of the second event happening.
P(2 Nickels): 6/10 x 5/9 = 30/90 (1/3 chance)
P(2 Dimes): 4/10 x 3/9 = 12/90 (4/30 chance)
P(1 nickel and 1 dime): 6/10 x 4/9 = 24/90 (8/30 chance)
I hope this helps :D
WXYZ is a parallelogram. Find the measure of angle Z
Given:
The figure of a parallelogram.
To find:
The measure of angle Z.
Solution:
We know that, the consecutive interior angles of a parallelogram are supplementary angles, it means there sum is 180 degrees.
In the given figure angle W and angle Z are supplementary angle. So,
[tex]m\angle W+m\angle Z=180^\circ[/tex]
[tex](18b-11)^\circ+(9b+2)^\circ=180^\circ[/tex]
[tex](27b-9)^\circ=180^\circ[/tex]
[tex](27b-9)=180[/tex]
Adding 9 on both sides, we get
[tex]27b=180+9[/tex]
[tex]27b=189[/tex]
[tex]b=\dfrac{189}{27}[/tex]
[tex]b=7[/tex]
Now,
[tex]m\angle Z=(9b+2)^\circ[/tex]
[tex]m\angle Z=(9(7)+2)^\circ[/tex]
[tex]m\angle Z=(63+2)^\circ[/tex]
[tex]m\angle Z=65^\circ[/tex]
Therefore, the correct option is C.
A rectangle’s length is three times its width, w. Its area is 243 square units. Which equation can be used to find the width of the rectangle?
a. w2 = 3(243)
b. 3w2 = 243
c. 4w2 = 243
d. 3w2 = 3(243)
please im on a timed test
Answer:
b) 3w² = 243
Step-by-step explanation:
area = L x w
L = 3w
substitute for L:
243 = 3w x w = 3w²
3w² = 243
yeah i need help anyone?
Answer:
A
Step-by-step explanation:
A secant is a line that goes through a circle at two points.
Answer:
A
Step-by-step explanation:
a straight line that cuts a curve in two or more parts.
Consider this diagram of quadrilateral ABCD, which is not drawn to scale.
Which two statements must be true based on the information indicated by the diagram?
A. AC=~ BD
B. Triangle ABC =~ Triangle CDA
C.AB =~ DC
D. Angle ABD =~ Angle DBC
Option A,Option B and Option C is correct
What is parallelogram?
Parallelogram is 4 sided closed figure with opposites parallel and equal
Given,AB=CD
AD=BC
Since, its opposite sides are equal, it is a parallelogram.
∴ΔABD≅ΔBCD
AC= BD(By CPCTC)
B. Triangle ABC =~ Triangle CDA ( Since its a parallelogram)
C.AB =DC(Given)
D. Angle ABD =~ Angle DBC(wrong)
Therefore,Option A,Option B and Option C is correct
Learn more about quadrilaterals
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Answer:
( B ) △ABC ≅ △CDA
( C ) AB ≅ DC
Step-by-step explanation:
Khan Academy;
ABC = CDA, but ≅ means approximately which is also true.
AB = DC, because the distance matches.
I need to find the diameter of a circle and the line in the middle is 3/5 cms
Answer:
1.2
Step-by-step explanation:
There are 2 lines in the middle of the circle. Im guessing by you saying "The line in the middle" You must mean the radius your trying to find the diameter so, the radius is half of the diameter so to find the diameter you do the radius x 2 in this case 3/5x2 equals 1.2 :)
I Hope this helps!!
Tell which value of the variable is the solution of the equation 30 = 6w W = 3, 5, 6, 8??
Answer: w=5
Step-by-step explanation: Hope this help
I am the number that is 5,000 greater than the smallest number u can make using six of the digits what number am I?——————————————
Only can use 1 8 3 4 9 6 2 7 I think..
12,351,789
ignore this ------
12346789
+ 5000
----------------
12351789
5 + 5
A)3
B)6
C)10
;D
Answer:
C) 10
Step-by-step explanation:
lol
Why is it important to know the background of a poet.
Answer:
To understand their poems better
Step-by-step explanation:
First you have a general knowledge on why the author made the poem
Second you now have more info to use in order to understand the poems
Third is the same reason why there are people in history books.
I need help fast and for real no bots
Answer: d. 201.06
Step-by-step explanation:
To find area of a circle we use the equation 2pi(r) or in this case 2*pi(16)= 804.25in^2 but since we are looking for the shaded region which is 1/4 or one-fourth of the circle so divide 804.25/4 to get 201 or specifically 201.06
A carpet cleaner charges $50.97 to travel to the customers house and $15.11 per room cleaned. In the carpet cleaner charged $96.97 how many rooms did he clean?
May someone please help me with this :)
Answer: It would be option D :)
Step-by-step explanation: the formula for volume in a cylinder is π r squared times height. You plug those in and that’s your answer!
When building a house, the number of days required to build varies inversely with the number of workers. One house was built in 20 days by 28 workers. How many days would it take to build a similar house with 14 workers?
Answer: 152 days
Step-by-step explanation:
Answer:
152 days
Step-by-step explanation:
Hope it helps u
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When light arrives and leaves a reflecting surface the angle with the line perpendicular to the surface is what?
Answer:
the angle of reflection is the angle between the reflected wave and the "normal" (the perpendicular line to the reflecting surface).
Step-by-step explanation:
Answer:
The angle which the light leaves or bounces off a surface is angle of reflection.
Step-by-step explanation:
has two types of light rays. The incoming ray and the outgoing, or reflected, ray. The angle between the incident ray and an imaginary perpendicular line drawn to the surface of the mirror is called the angle of incidence.
In the expression 8k + 5. which best describes what 8 represents?
Answer:
it represents a variable
Step-by-step explanation:
The number 8 is the coefficient of the variable k.
What is a coefficient?A coefficient in mathematics is a multiplicative factor in a polynomial term, a series term, or an expression. It is typically a number, but it can also be any expression. They may also be referred to as parameters if the coefficients are variables in and of themselves.
Given that the expression is 8k + 5. In the given expression the number 8 is the coefficient of the given expression.
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Write the Recursive form and next of the following sequence
8,10,12,14,16...
Answer:
Step-by-step explanation:
The recursive form is a(n + 1) = a(n) + 2, with a(1) = 8.
The next term is a(6) = a(5) + 2, which heere is a(6) = 16 + 2 = 18
Explain the error in the solution below. What
additional step needs to be completed?
log x - log5^3 = 2log5^3
log x = 3log5 ^3
log x = log5 3^3.
x = 27
Answer:
x = 1953125
Step-by-step explanation:
log x - log 5^3 = 2 log 5^3
log x - 3 log 5 = 6 log 5
log x = 9 log 5 = log 5^9
x = 5^9
x = 1953125
The average final exam score for the statistics course is 77% and the standard deviation is 8%. A professor wants to see if the average exam score will be higher for students who are given colored pens on the first day of class. The final exam scores for the 17 randomly selected students who were given the colored pens are shown below. Assume that the distribution of the population is normal. 75, 78, 74, 89, 76, 92, 81, 87, 77, 79, 75, 81, 52, 80, 98, 72, 78 What can be concluded at the 0.05 level of significance
Answer:
There is not enough evidence to support the claim that average score for those given colored pen is greater than 77
Step-by-step explanation:
Given the data : 75, 78, 74, 89, 76, 92, 81, 87, 77, 79, 75, 81, 52, 80, 98, 72, 78
Using calculator :
Sample mean, xbar = 79.06
Sample standard deviation = 9.85
Sample size, n = 17
H0 : μ = 77
H1 : μ > 77
The test statistic : (xbar - μ) ÷ (s / sqrt(n))
(79.06 - 77) ÷ (9.85 / sqrt(17))
2.06 ÷ (9.85 / sqrt(17))
= 0.8623
The Pvalue from Tscore :
Pvalue = 0.20063
Since pvaue is > α ; we fail to reject the null ` There is not enough evidence to support the claim that average score for those given colored pen is greater than 77
A 12ft basketball hoop casts an 8 ft shadow. Find the length of the shadow of a 4 ft tall fence.
Set up a ratio of height over shadow for each :
12/8 = 4/x
Cross multiply:
12x = 32
Divide both sides by 12:
X = 2 2/3 feet
The shadow is 2 2/3 feet.
Mr. Bennett wants to evaluate the cost of a warehouse. He
estimated the warehouse to be 400 feet long and 150 feet
wide. The actual dimensions of the warehouse are 320 feet
long and 100 feet wide. What was the percent error in
Mr. Bennett's calculation of the area of the warehouse?
Round to the nearest hundredth.
I NEED HELP
Answer:
-46.677%
Step-by-step explanation:
The computation of the percent error is shown below:
As we know that
Area of the warehouse = length × width
Based on estimated values, the area is
= 400 × 150
= 60,000
And, based on actual values, the area is
= 320 × 100
= 32,000
Now the percent error is
= (32,000 - 60,000) ÷ 60,000 × 100
= -46.677%
Function notation ? G (x)=x-3 ; find g(-6) .. how do I answer this?
Answer:
The value of g(-6) will be "-9".
Step-by-step explanation:
The given function is:
⇒ [tex]g(x)=x-3[/tex]
then,
⇒ [tex]g(-f)=?[/tex]
On putting the value "-6" at the place of "x", then we get
⇒ [tex]g(-6) = (-6)-3[/tex]
⇒ [tex]=-6-3[/tex]
⇒ [tex]=-9[/tex]
Thus the above is the correct solution.
2+2x+x2 but x=5 need help
Answer:
22
Step-by-step explanation:
Answer:
6x
Step-by-step explanation:
because i said so 2+2+2=6 and x=5 but two x=10
Find the vertex of the parabola whose equation is y = -2x2 + 8x - 5.
A-(2, 27)
B-(2, 19)
C-(2, 3)
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how to read a q q q q q q q q q q q q q q q q q
Your read from left to right. Read intensively if you want to practice the fundamentals and learn vocabulary. Intensive reading is focused more on individual details of what you’re reading.
hope this helped <3
Answer:
This is how to read a
Pronounce it with your mouth open as in "ah" then smile with an "ee" sound. Say "Ay" and that's how you say A or "Ah"
How to read Q? Just pronounce it as "Kyuu" or when reading it say "Ck" with a sharper sound.
Hope this helped!
7x-12+3x+28=180 degrees
Please help ASAP
Answer:
180 degrees
Step-by-step explanation:
i think im not sure??????? i hope im right
you put it in the question
Each day that a library book is kept past its due date, a $0.30 fee is charged at midnight. Which ordered pair is a viable solution if x represents the number of days that a library book is late and y represents the total fee?
(–3, –0.90)
(–2.5, –0.75)
(4.5, 1.35)
(8, 2.40)
Answer:
The last option is correct
This is the equation: f(x)=x^2
e) Is f(x) symmetric? If so, what is the equation of the line of symmetry?
f) Does f(x) have a maximum or minimum? If so, at what point?
g) What are the x-intercept(s) of f(x)?
Answer:
e) yes, symmetric around the y-axis
f) minimum at (0,0)
g) x-intercept at 0
Step-by-step explanation:
What is the difference between a monomial and a polynomial?
Answer:
Is that your answer
Dot plot A is the top plot. Dot plot B is the bottom plot.
According to the dot plots, which statement is true?
The mean of the data in dot plot A is less than the
mean of the data in data plot B.
The median of the data in dot plot A is greater than the
median of the data in dot plot B.
The mode of the data in dot plot A is less than the
mode of the data in dot plot B.
The range of the data in dot plot A is greater than the
range of the data in dot plot B.
Please help I’m giving BRAINLIEST
Answer:
The median of plot A is greater that the median of plot B
Step-by-step explanation: the median on plot A is 45 and the median on plot B is 15
1)The mean of the data in plot A is greater than the
mean of the data in plot B.
2) The median of the data in plot A is greater than the
median of the data in dot plot B.
3) The range of the data in plot A is greater than the
range of the data in plot B.
What is the median?
The median is the middle number in a sorted, ascending, or descending, list of numbers.
Let us arrange the data of plot A in ascending order:
30,35,35,40,40,40,40,45,45,45,45,50,55,55,60
Number of observations = 15
Mean of the plot A = 44
Median will be the middle observation i.e. 8th observation i.e. 45
Let us arrange the data of plot A in ascending order:
5,5,5,10,10,10,10,15,15,15,20,20,25,30,35
Number of observations = 15
Mean of the plot B = 15.33
Median will be the middle observation i.e. 8th observation i.e. 15
Therefore,1)The mean of the data in plot A is greater than the
mean of the data in plot B.
2) The median of the data in plot A is greater than the
median of the data in dot plot B.
3) The range of the data in plot A is greater than the
range of the data in plot B.
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