Find the dimensions of a rectangle (in m) with perimeter 84 m whose area is as large as possible. (Enter the dimensions as a comma-separated list.)

Q: What is the perimeter of rectangle HIJK?

A: From the given graph we have coordinates of triangle as H(-9,-5), I(-9,-7), J(0,-7) and K(0,-5)

Q: A circular swimming pool has a diameter of 24 ft, the sides are 5 ft high, and the depth of the…

A: The volume of the cylinder is V=πr2h. Here, r is the radius, and h is the height. The mass is…

Q: We need to find all the whole numbers that have remainder 1 upon division by 4 and write our answer…

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Q: How many 1 x1 ×1 cubes are in the following rectangular prisms? For each problem, write an…

A: For cube or cuboid  We represent volume as =l×b×h

Q: Use the left to right addition method as outlined in the module to add the numbers. For the middle…

A: Explanation of the answer is as follows

Q: The width, labeled x in the figure, is (Type an integer or decimal.) feet The length, labeled 250 -…

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Q: What are the errors in the division promblem below?

A: Given that 25÷89. The above problem should have solved as follows. 25÷89=25×98=215×984=920

Q: Find the sum of n terms of an AP whose nth term is given by an=5-6n

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Q: A box with a square base and no top is to be made from a square piece of carboard by cutting 7 in.…

A: It is known that, the volume of a cuboid is V=l×w×h where l, w, h are the length width and height of…

Q: Find the smallest positive integer that leaves a remainder of 1 when divided by 2, a remainder of 2…

A: Let N be such a number N=10a+9:  N+1 = 10a+10 N=9b+8: N+1 = 9b+9 N=8c+7: N+1 = 8c+8 N=7d+6 and so on…

Q: the greatest common divisor of 313.517 and 512.35 is

A: Concept: The division algorithm of EuclidThis procedure only applies to positive numbers. To find…

Q: The frame on a picture is 18 in by 22 in outside and is of uniform width. Using algebraic methods,…

A: to find the width of the frame

Q: perform the indicated divisions. (4a2 - 8ab + 4b2)/(a - b)

A: (4a2 - 8ab + 4b2)/(a - b)

Q: 14. Fill in the squares using the digits 4, 5, 6, 7, 8, and 9 exactly one time each to make the…

A: In this problem, 6 digits are given. We have to make two 3-digit numbers using those exactly once.…

Q: Find the difference between (643), and (64), . .a O (565), .b O None of these .c O (546), 7 .d O…

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Q: A box with a square base and no top is to be made from a square piece of carboard by cutting 7 in.…

A: Given:- A box with a square base and no top is to be made from a square piece of cardboard by…

Q: John wanted to take his nephew fishing on this man-made pond. If there are 16 whole squares that…

A: Option D is correct answer. 11 Detailed explanation given below.

Q: A circular swimming pool has a diameter of 20 ft, the sides are 6 ft high, and the depth of the…

A: Given:     d = 20      r = d/2 = 20/2 = 10    Limit : 0 to 5

Q: implified?

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Q: Did and smpify fl4)? d simplifyfl4? X-2 2lWhel o the bamavin of this Finchion?

A: Given query is to find the value of function at x = 4

Q: In the diagram below, ABCD is a rectangle with side lengths AB = 3 and BC = 11, and AECF is a…

A: Properties of rectangle Opposite sides are parallel and equal. Each interior angle has measure of…

Q: (b) Draw a picture of a rectangle that has a length of 5 units and a width of 7 units. Then explain…

A: There are given a rectangle that has a length of 5 units and a width of 7 units. We have to prove…

Q: Any n consecutive integers will include a number that is divisible by n.

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Q: What is the largest number x such that x<200 and x has exactly 4 factors?

A: Factors:    Number that are multiplied together to get a product                              Factor…

Q: 1. How many squares are in the figure?

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Q: The CDC has started studying a new COVID - 21 virus that grows by 24% every hour. If a students desk…

A: We can solve it by using the concept of compound interest where interest is added again and again…

Q: Explain why the finclion H2)=52"- 6+ . (a) is entire ?

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Q: multiply or divide as indicated, and express answers in reduced form. 5/6 ÷ 11/13

A: Consider: 56÷1113. Multipliy and divide as indicated. Simplify by applying a÷b =a×1b 56×1311

Q: Perform the indicated operation.  (8x3+12x2+16x+13)÷(4x+2)

A: Given,

Q: o the di

A: The division using the c-strips:

Q: Until recently, all area codes had a 0 or a 1 as the middle digit and the first digit could not be 0…

A: Given The middle digits of the area code are  0 and 1 The first digit of the area code could not be…

Q: The product of any four consecutive integers is divisible by 24.

A: We will use basic knowledge of integers and congruences to solve this question.  The question says…

Q: that if 3 divides the sum of the digits of n, then 3|n

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Q: A jar of nickels and dimes ce of each are there?

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Q: find the decisative 8x*+ 8X +4

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Q: Find the largest valuc of integer value ofk such that 1 (24 - 1) < 900. 5+7++

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Q: How many squares are there in a 6x6 magic square?

A: Answer is 91.

Q: Determine the nth-term formula for the number of square tiles in the nth figure. a, a2 az a5

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Q: Which set of terms has 8 as their GCF?

A: Given: - The number of 8 as their GCF. To choose: - The set of terms has  8 as their GCF. 1 63, 18,…

Q: Find the difference between (643), and (64), . a O (565), None of theseb0 .c O (546), .d O (545),

A: We have to find difference 6437 and 647 First we will change 6437 and 647 into decimal 6437…

Q: What is the greatest common divisor of 1701 and 3769? show your complete solution.

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Q: 1745

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Q: Use the multiplication principle to solve the problem.How many different 7-digit phone numbers are…

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Q: 3. Consider the checkerboard below. How many squares of all sizes appear on this checkerboard?

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Q: By arranging the following information in a nine-square table, find the frequencies of the remaining…

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Q: simplify by removing the inner parentheses first and working outward. 4x2 - [2x2 - (5x2 - 6)]

A: Given: 4x2 - [2x2 - (5x2 - 6)]

Q: The area of the shaded region is 64x square inches. 14 in. O True O False 22 in.

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Q: Simplify: (2x + 4) + (3x + 3) O 6x +18x + 12 O 5x + 7 O 6x + 12 O 6x + 12

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Q: A circular swimming pool has a diameter of 20 ft, the sides are 5 ft high, and the depth of the…

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Q: Perform the indicated operation and express in lowest terms. 8p - 8 4p2 9p - 9

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