(1 - cot theta) ^ 2 + (1 + cot theta) ^ 2 = 2cosec ^ 2 theta
[tex]\text{L.H.S}\\\\=(1 - \cot \theta )^2 + (1 + \cot \theta)^2 \\\\=(1-\cot \theta + 1 + \cot \theta)^2 - 2(1 -\cot \theta)(1 + \cot \theta)\\\\=2^2 - 2(1 - \cot^2 \theta)\\\\=4-2+2 \cot ^2 \theta\\\\=2+2 \cot^2 \theta\\\\=2(1 + \cot^2 \theta)\\\\=2 \csc^2 \theta\\\\=\text{R.H.S}\\\\\text{Proved.}[/tex]
Solve the following question: 4(5x-2)=2(9x+3)
Let's solve this problem step by step:
⇒ on one side, I solve the equaiton
⇒ on the other side, I give you the property that I use to solve the
equation
⇒ you don't need to write down those properties if your teachers
didn't ask you for it
[tex]4(5x-2)=2(9x+3)\\[/tex] | Given equation
[tex]20x-8=19x+6[/tex] | Distributive Multiplication over subtract/add
[tex]x=14[/tex] | Subtraction Property of Equality
Answer: x = 14
Definition of Properties:
Distributive Property of Multiplication over subtraction/addition: it says that the product of a number and the difference/adding of two other numbers is equal to the difference/sum between the products of the distributed number.Subtraction Property of Equality: if the same value is subtracted from two equal sides, the differences remain the sameTickets for a concert are sold at a rate of 370 tickets per hour. At this rate, how long will it take to sell all the tickets for a 2100-seat auditorium?
Answer:
5 hours and 42 mins
Step-by-step explanation:
19. A soccer field is a rectangle 90 meters wide and 120 meters long. If you were
asked to run from one corner to the other corner diagonally across, what is the
distance?
a. 150 meters
b. 1500 meters
c. 15 meters
d. 200 meters
208 ,204 ,200 45th term
Answer
32
Step-by-step explanation:
This is an example of an arithmetic sequence as the difference between the first 3 terms is constant. We can see that 4 is constantly being subtracted.
is the formula for an arithmetic sequence.
= nth term
a = the first term in the sequence
n = term you are looking for (in this case 45)
d = common difference between the terms (in this case -4)
How can logistic regression be used as a classifier? Group of answer choices Logistic regression can be used as a classifier by limiting the domain of the logistic function to positive real numbers only. Logistic regression can be used as a classifier by using a threshold on the outcome of the logistic function and using this threshold to classify the inputs. Logistic regression can be used as a classifier by expanding the range of the output of the logistic function. Logistic regression can be used as a classifier by removing the nonlinear relationship between input and output.
Logistics regression can be used as a classifier by Logistic regression can be used as a classifier. The second option is correct.
What is logistics regression?This is a predictive type of analysis. What is done here is that this type of analysis helps in the description of data and the probability of events happening.
It is based on a given set of independent variables in the regression equation.
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What percent of 4c in each expression?
0.04c
Answer:
1%
Step-by-step explanation:
0.04c multiplied by 100 is 4.
Answer:
1%
Step-by-step explanation:
Mostly because you see 0.04c is exactly 1% of 4c. Which means a hundred 0.04c will be required to get 4c.
[tex]12x ^{2} + 4x + 20[/tex]
I'm really struggling with finding the greatest common factor.
could someone please explain in simple terms?
The GCF is 4
The polynomial factors to [tex]4(3x^2+x+5)[/tex]
==========================================================
Further explanation:
Ignore the x terms
We're looking for the GCF of 12, 4 and 20
Factor each to their prime factorization. It might help to do a factor tree, but this is optional.
12 = 2*2*34 = 2*220 = 2*2*5Each factorization involves "2*2", which means 2*2 = 4 is the GCF here.
We can then factor like so
[tex]12x^2 + 4x + 20\\\\4*3x^2 + 4*x + 4*5\\\\4(3x^2 + x + 5)[/tex]
The distributive property pulls out that common 4. We can verify this by distributing the 4 back in, so we get the original expression back again.
The polynomial inside the parenthesis cannot be factored further. Proof of this can be found by looking at the roots and noticing that they aren't rational numbers (use the quadratic formula).
What is the sum of the interior angles of the polygon shown below?
Answer:
30600
Step-by-step explanation:
A gas station offers a lucky draw to customers.
each time you spend more than $20 on gas, you can make a draw to win a prize.
the probability of winning a prize is 1/12
suppose you buy gas 4 times. what is the probability of you winning a prize each time?
Answer/Step-by-step explanation:
Given:
A gas station offers a lucky draw to customers. Each time you spend more than $20 on gas, you can make a draw to win a prize. The probability of winning a prize is 1/12 suppose you buy gas 4 times.
To Find:
what is the probability of you winning a prize each time?
Solve:
Since, it given that you buy gas 4 times. Thus that means:
1/12 × 1/12 × 1/12 × 1/12 or 1/12⁴
Now solving it:
1/12 × 1/12 × 1/12 × 1/12 = 1/20736
Which also means (0.0048%) in decimal form since, 1 divide by 2076 equal to 0.0048%
Kavinsky
Calculate the missing balances in Jane's check register.
Check # Date Transaction Deposit Withdrawal Balance
341 6/11 dress shop $71 99 $279 66
342 6/15 nail salon $41 50 $
6/20 graduation money $200 00 $
Day 6/11 = $6,920
Day 6/15 = $6,505
Day 6/20 = $6,305
Calculation of missing balancesDay 6/11 Jane deposited=$7,199She withdrew $279 to buy clothes
Therefore her final balance= $6,920
Day 6/15 from her balance, she made her nails in a nail salon for $41 5.Therefore, her balance is
= $6,920 - $415
= $6,505
Day 6/20 Jane withdrew her graduation money at the prize of $200Therefore her balance is
= $6,505 - $200
= $6,305
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Root of 3 time the root of
5
Answer:
root of 15 or in decimal form 3.87 (rounded)
Step-by-step explanation:
You just multiply both together
answer the question
Answer:
A. 20.5
Step-by-step explanation:
The measure of an inscribed angle is half the measure of the intercepted arc. For example, If the intercepted arc is 11 then the Inscribed angle is 1/2 or 5.5! hope this helps ya!
This figure shows the dimensions of an A frame house.
What is the volume of the house?
Enter your answer in the box.
V =
ft³
879+29 do you know what it is
Answer:
908
Step-by-step explanation:
879+29=908
CAN U HELP ME PLS I'LL MARK U BRAINLIST
Answer:
64
Step-by-step explanation:
Find the value of k so that the remainder is 2 for (x^4- 12x^3+3x^2– kx - 4) = (x+1).
Answer:
the answer is k=-4 hope this helps
PLS HELP I WILL GIVE BRAINIEST If triangle BCD were rotated over the y-axis from point (0, 0), what would be the coordinates of the new triangle's vertices?
A. (0, -1) , (-4, -3), (-2, -1)
B. (-1, 0), (-5, -2), (-3, 4)
C. (1, 0), (5, 2), (3, 0)
D. (1, 0), (1, -2), (-3, -4)
The coordinates of the new triangle's vertices are (0, -1), (-4, -3), and
(-2, -1). Hence option A is true.
Used the rule of a point (x, y) when rotated over the y-axis of 90° clockwise rotation from point (0, 0),
(x, y) → (y, - x)
Given that the triangle BCD is shown in the image.
Here, the coordinates of the vertices of BCD are,
B = (1, 0)
C = (3, - 4)
D = (1, - 2)
Now apply the rotation rule, the coordinates of the new triangle's vertices are;
B' = (0, - 1)
C' = (- 4, - 3)
D' = (- 2, - 1)
Therefore, the option A is true.
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the value of -1/4 (3.2)
Answer:
-0.8
Step-by-step explanation:
We can change -1/4 to -0.25. Now, we just multiply and get -0.8
Hope this helped you! I would appreciate a Brainliest if this helped you! Thank you and have a good day!
Mr. Jones grades 12 exams
in 2 hours. At that rate,
how many hours would it
take to grade 48 exams?
Answer:
8 hours
Step-by-step explanation:
12/2= 6
He grades 6 exams per hour
48/6= 8
it would take 8 hours to grade 48 exams
Bonus:
it takes him 10 minutes to grade an exam. That doesnt matter for this question but it's good 2 know
Answer:
8 hours
Step-by-step explanation:
To solve this it seems you need to set up a proportion.
12/2=48/x
cross multiply the 2 and 48.
2•48=96.
divide by the remaining number to get x.
96/12=8.
Can someone help me with this please?
A bag contains 12 movie tickets and 8 concert tickets. You randomly choose 1 ticket and do not replace it. Then you randomly choose another ticket. Find the probability that both events A and B will occur. Round your answer to the nearest tenth.
Event A: The first ticket is a concert ticket.
Event B: The second ticket is a concert ticket.
about ___%.
Graph the inequality
y≤2
Answer:
straight line on 2 on the y axis
Step-by-step explanation:
Its just a straight line on 2 on the y axis
Peter is planting a rectangular garden. The length is 15 yards longer than the width. Jorge is planting a square garden. The sides of Jorge's garden are equal to the width of Peter's garden. What is the ratio of the area of Peter's garden to the area of Jorge's garden? Use this ratio to find the ratio of the areas if the width of Peter's garden is 32 yards.
x + 32/x ; 32/15
x-32/x ; 32/15
x+15/x ; 47/32
x-15/x ; 47/32
If the width of peter's garden is 32 yards, the ratio of the areas is 47: 32
Area of a rectangle.area of rectangle = lw
where
l = lengthw = widthTherefore,
Peter rectangular garden
l = 15 + xJorge is planting a square garden. The sides of Jorge's garden are equal to the width of Peter's garden.
Therefore,
x = side of Jorge gardenThe ratios are as follows;
(15 + x)x : x²
Therefore, if the width of peter's garden is 32 yards, the ratio of the areas is as follows:
(15 + 32)32 : 32²
1504: 1024
752: 512
376: 256
94:64
47: 32
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Answer:
(x+15)/x; 47/32
1.5. a + b + c + d + e is this expression a monomial/ binomial/ trinomial/ polynomial
Answer:
polynomial
Step-by-step explanation:
because poly=more than 1
mono=1
bi= 2
tri=3
Examine the ordered pairs in this function.
(8,5), (-3,8), (11,-1), (10,-5), (4,4)
True or False: This relation IS a function.
True
False
Answer:
True
Step-by-step explanation:
A relation is a function when each input has exactly one output. Looking at the coordinates given, none of the inputs(x-values) are repeated. Therefore, the relation is a function.
Read the excerpt from "A Century Ride.” Lizzie Dunlop patted the small lady’s shoulder soothingly. "There, there, little iceberg,” she said, "let it all be buried! It’s forgotten. You shall never be worried about it again. You are here to enjoy every moment of your holiday, and to tell me the news of civilization, and to take rides across the prairie. What a blessing we have a decent road for the velocipede—I beg pardon—bicycle! You must have lots of grit to mount that scary machine; and—oh! Maude! How can you want to be a surgeon? I should die if I saw a man cut up and mangled; but you are a marvel!” Which phrase from the excerpt is most like the modern language used in writing? There, there little iceberg You are here to enjoy every moment You must have lots of grit I should die if I saw a man cut up
The phrase in the excerpt that is most similar to the modern language used in writing is "You are here to enjoy every moment".
What is modern language?It corresponds to a language that is in current use in society, being a term used to differentiate a language that is still used for communication from a language that is not used anymore today, such as Latin.
Therefore, the phrase relates to the values of modern society with regard to the use of words and the message that the author wants to convey to readers.
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Answer:
b
Step-by-step explanation:
20 cm
10 cm
Find the area of this figure.
[?] square centimeters
6 cm
Answer:
260 cm^2
Step-by-step explanation:
Area of rectangle = 20 x 10 = 200 cm^2
Area of triangle = 6 x 20 /2 = 60 cm ^2
Area of figure = 200 + 60 = 260 cm^2
Find the volume of the composite space figure to the nearest whole number.
2 mm
9 mm
16 mm
Not drawn to scale
A. 1306 mm³
B. 450 mm³
C. 797 mm³
• D. 514 mm³
The geometry is defined by the combination of rectangular prism and half-cylinder. Then the volume of the composite geometry will be 796.94 cubic mm.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
The graph is given below.
The geometry is defined by the combination of rectangular prism and half-cylinder. Then the volume of the composite geometry will be
Volume = [(πr²/2) + a x b] x h
Volume = [(π x 4.5²/2) + 9 x 2] x 16
Volume = [10.125π + 18] x 16
Volume = 48.808 x 16
Volume = 796.938
Volume ≅ 796.94 cubic mm
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HELP PLEASE !!!!!!!!
Answer:
Graph B
Step-by-step explanation:
Point-line graphs are usually used to compare data over a course of time, and bar graphs are more commonly used to compare statistics between different data sets (in this case it is between different countries)
Please help me answer these
Answer:
98
Step-by-step explanation:
b(c(3))
b(3(3)-2)
2(3(3)-2)^2
2(9-2)^2
2(7)^2
2(49)
98