If we take a golden rectangle which has base equal to φ and height equal to 1, and we subdivide that rectangle into a square and a smaller rectangle using a single vertical edge, what are the dimensions of the smaller rectangle?

Q: Below are problems you have solved before. Cc 3. Given: mzB = 42° and MLACD = 7° %3D Prove: mza =…

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Q: 1 If A= find AB. 0 -1

A: Given,          A=100-1   and   B=055110001177

Q: perform the indicated calculations 3(3 + 3 + 2) in Z4

A: Z4 is a cyclic group of order 4.

Q: Find the two smallest positive solutions of 5sin(5x)=3

A: 5sin(5x)=3 sin(5x)=.6 sin(5x)=sin36.87°

Q: QUESTION 13 (11101), +(1111), = YOU MUST SHOW WORK FOR THIS QUESTION. (11110)2 (101100)2 (101101)2…

A: Second option is correct. See the attachment

Q: Prove that (RUS) (TUW), if we know as given from the problem that: RCT and SEW Justify each line of…

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Q: EX.2.48: Nine people are going on a skiing trip in 3 cars that hold 2, 4, and 5 passengers,…

A: Total People = 9 Cars can hold 2, 4 and 5 passengers respectively Possibility of sharing the cars…

Q: Discuss ARIMA and SARIMA using appropriate formulae.

A: ARIMA is one of the most popular and widely used statistical methods for time series forecasting.…

Q: 25. If mRU = (16x - 13)', mSE (11x - 24)', and M2STU = (3x + 1)', find mŠU %3D Iex-13. mSU=

A: By visuals, we can say that RS is diameter in this circle.

Q: How many elements are in Z5[i]/<1 + i>?

A: Given Data The expression is Z5[i]/<1+i>.   Consider the Z5[i]/<1+i> in the form of…

Q: Question 6 Compute comPpa given a = (2,0,- 2) andb=(0,-3,4>. %3D

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Q: If : = 4 cis e, find the modulus and the argument of iz

A: Formula used: The modulus of the complex number z=x+iy is given by z=x2+y and its argument is…

Q: Show that the series 3. + + 4 To t (-1) Lonverges absolutely.

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Q: Prove that if gcd(a,b)=1 then gcd(a+b,ab)=1.

A: Given, gcda,b=1 Let, d=gcda+b,ab This implies, da+b and dab This gives, dba+b⇒dab+b2Since,…

Q: A factory received a shipment of 11 lightbulbs, and the vendor who sold the items knows there are 3…

A: Given in the question: Total bulbs, N = 11 Defective bulbs, x = 3 Now we will calculate the sample…

Q: Question 8 If and then find 2 1-[-²3 -[] B= AxB 4

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Q: The Cosmoclock 21 Ferris wheel in Yokohama City, Japan, has a diameter of 100 mm. Its name comes…

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Q: (ii) AU(BnC)= (CUB)NĀ. %3D

A: Introduction :

Q: What other degree of rotation (less than 360o) from the Start point will result in Jack being the…

A: Given: Let us assume that the wall is at front. Jack had a 75 degree rotation. Let us assume that he…

Q: Problem 19.1. Prove that 2019 can not be represented as a sum of three fourth powers o integers…

A: Take the fourth power of integers from 1 to 7 and obtain that 74 is greater than 2019. Therefore, to…

Q: Question 7. Consider a linesegment of length 1. In the first step, remove the middle one- third…

A: Length of line segment removed in 1st step = 1/3 Length of line segment removed in 2nd step = 1/3 of…

Q: 2. The exact value of sec 57 is O2 2V3 -2 2V3 3

A:

Q: Suppose that two nondimensional quantities are exactly A chapter, express the four quantities (A+B),…

A: Given,          A=8.73       3 siginficant figuresB=1.389     4 siginficant figures

Q: EX#3: A baker added enough chips to the dough so that only 1% of the cookies will contain no chips.…

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Q: Without using the  L'hopital rule. Solve Questions 1,2 and 3.

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Q: Question 15 - of 25 Step 1 of 1 How many ways can Nick choose 2 pizza toppings from a menu of 7…

A: Here we want to find the number of ways 2 pizza topping  from menu of 7 topping.

Q: write out the first few lines of Pascal's triangle and then use it to expand (3x+2y)^4

A: To write: First few lines of pascals triangle and then use it to expand 3x+2y4. Calculation:…

Q: Suppose P(Xi=1)=pi=1-P(Xi=0),  i=1,2 if p1> p2 show that X1>( greater than equal to (st)) X2

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Q: Theorem = 7 K 51 M 25

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Q: 1337 i+1` Compute ()

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Q: 1. State and prove the full version of the Pythagorean Theorem

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Q: A lawn sprinkler is located at the corner of a yard. The sprinkler is set to rotate through 90 and…

A: The sprinkler turns by 90 degree, it means it covers the one fourth part of a circular area. Area…

Q: If A, B are 3 x 3 matric det(AB ') = 12 and a Then det(3A". (B)¯1)

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Q: when you come across an ( i^2) that should be converted to ______

A: when you come across an i2 that should be converted to ______

Q: and such that the sum of their squares is as small as possible. Give the sum of the squares.

A: Given problem:- 2. Using Lagrange multipliers, find three positive numbers whose sum is 18 and such…

Q: perform the indicated calculations 3 + 1 + 2 + 3 in Z4

A:

Q: Find Soluton for up (:) -5 Il6) %3D given 一 -3

A: The given problem is to solve the matrix differential equation with the given initial condition, we…

Q: A population of scores with p = 38 and CT = 6 is standardized to create a new population with p = 50…

A: As per the given information, we have to find the z scores for each value using the previous data…

Q: show that the Neumann problem 2 2 in du - 2 an 2 on does not have a solution.

A: We will use greens theorem

Q: Use the Base Chart method as shown in Module 3 page 64 to subtract:      513 - 245   F L U   5 1 3…

A: # the method shown in Module 3 Page 64 is not given , therefore solving as follows   513-245 we will…

Q: How did Pythagoras come up with the Pythagorean Theorem?

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Q: Problem 5. Use Gauss's Lemma to compute (), B), and (6). (If you use a

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Q: AA--I,

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Q: 12) a-:]- B-[:: ind AR 3 0 3 -2 1 Find AB. %3D -2 1 0 4-3

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Q: . A pendulum swings through an angle of 9o each second. If the pendulum is 14 cm in length  and the…

A: To find the area covered by each complete swing

Q: Question 4 Solve following system of equations of non-negative integers using methods of Commutative…

A: In this question,  We solve the system of non homogeneous equation .

Q: Question 4 5 4 - Given A = compute 2A 5 2

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Q: -1 3 -6,Compute A-5I,. 9. Let A=-8 7 -4 1 8

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Q: (5x – 8)°, In ANOP, mZN mZO = (x – 5)°, and mZP = (6x + 1)°. Find m2O. -

A: