MATHEMATICS MIDDLE SCHOOL

5. Diedre drew a quadrilateral with 4 rightangles and opposite sides of the samelength. Name all the kinds of polygons thatcould be Diedre's quadrilateral

Answers

Answer 1

Answer:

Answer:

Rectangle

Step-by-step explanation:

Given : Deidre drew a quadrilateral with 4 right angles and opposite sides of the same length.

To find : Name all the kinds of polygons that could be Deidre's quadrilateral ?

Solution :

Deidre drew a quadrilateral with 4 right angles and opposite sides of the same length.

Refer the attached figure below.

The right angles is at A,B,C ,D and

Opposite sides are equal AC=BD and AB=CD

This polygon is a rectangle.

As rectangle is a quadrilateral with four right angles. Opposite sides are equal in length.

Answer 2

Answer: A parallelogram , a quadrilateral, a square, and a rectangle

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Write 3^-2 in fraction form

Answers

Answer:

$(1)/(9)$

Step-by-step explanation:

Rule:

$a^(-n) = (1)/(a^n)$

Our problem:

$3^(-2) = (1)/(3^2) = (1)/(9)$

The value of 3 divided by 2 as a fraction is 3/2 = 1 ½

#1 What is the value of the expression 7–3? Answers: A. –21B. - 1/343 C.1/343 D. 343

#2What is the value of the expression 1/5^-5? Answers: A. 1/3125 B.1/25 C.25 D. 3125

#3What is the value of the expression 2/4^-3?Answers: A. 1/32 B. 1/6 C.128 D.256

#4 What value of k solves the equation? K^-2=1/64 Answers: A.1/8 B. 8 C. 32 D. 128

#5 What value of n solves the equation? 4^N= 1/64 Answers: A. –3 B. 3 C. 16 D. 256

Answers

First question

The given expression is

$7^(-3)$

Which can also be written as

$(1)/(7^3)= (1)/(343)$

Therefore the correct option is C.

The given expression is

$(1)/(5^(-5))$

Which can also be written as

$5^5 = 3125$

So the correct option is D

The given expression is

$(2)/(4^(-3))$

Which can also be written as

$2*4^3 = 2* 64=128$

And the correct option is C

The given equation is

$k^(-2) = (1)/(64) \n k^2 = 64 \n k^2 = 8^2 \n k=8$

So the correct option is B

The given equation is

$4^N = (1)/(64) \n 4^N = 4^(-3) \n N =-3$

And the correct option is A .

$\#1\ \ \ 7^(-3)= (1)/(7^3) = (1)/(343)\ \ \ \Rightarrow\ \ \ Ans.\ C\n \n \#2\ \ \ (1)/(5^(-5))=5^5=3125\ \ \ \Rightarrow\ \ \ \ Ans.\ D\n \n \#3\ \ \ (2)/(4^(-3))=2\cdot4^(3)=2\cdot 64=128\ \ \ \Rightarrow\ \ \ Ans.\ C\n \n\#4\ \ \ K^(-2)= (1)/(64) \ \ \Rightarrow\ \ \ (1)/(K^2) = (1)/(64)\n\n .\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ K^2=64 \ \ \Rightarrow\ \ K=8\ \ \Rightarrow\ \ Ans.\ B\n \n$

$\#5\ \ \ 4^N= (1)/(64)\ \ \Rightarrow\ \ \ 4^N=4^(-3)\ \ \ \Rightarrow\ \ \ N=-3\ \ \ \Rightarrow\ \ \ Ans.\ A$

How many times does 6 go into 22

Answers

6 goes into 22, three times. 6x3=18 with a reminder of 4

6x4=24

Square root of 96 factor tree

Answers

15/19 or 9.789. Is the answer

Answer:

√ 96

6 16

/\ /\

3 2 4 4

Final answer: 4√ 6

Step-by-step explanation:

follow steps above

Fresh pond has a population of 854 and it’s increasing by 3 people per year. Strawberry has a population of 427 and it’s increasing by 10 people per year. In how many years will the two villages have the same number of residents?