The length of an Australian flag is twice its width and the diagonal length is 45cm. A. if x cm is the width of the flag, find the length in terms of x.
B. draw a diagram of the flag marking in the diagonal. mark the length and the width in terms of x.
C. use Pythagoras theorem to write an equation relating the lengths of the sides to the length of the diagonal.
D. solve the equation to find the dimensions of the Australian flag. round your answer to the nearest cm

Answers

Answer 1
Answer:

A. 2x B. draw a rectangle with a line ad label accordingly C. W^2 + D^2 =L^2

D. 45= 15= w 30= l


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using the autonomous equation 2 discuss how it is possible to obtain info about the llocation of points of inflection

Answers

Answer:

The autonomous equation refers to a differential equation where the independent variable is absent. In such equations, the information about the location of points of inflection can be obtained by analyzing the second derivative of the equation. Points of inflection occur where the second derivative changes sign. By finding the critical points of the second derivative and determining their nature (whether they are minima, maxima, or points of inflection), we can identify the location of points of inflection.

How would I complete this equation?

(7a+3)+(-a-5)= -16

Answers

(7a+3)+(-a-5)=-16
Combine like terms:6a-2=-16
Add 2 to both sides: 6a=-14
Divide both sides by 6: a=-14/6
Simplify: a=-7/3
(7a+3)+(-a-5)=-16
6a-2=-16
6a=-14
a=-2.3333333333

What is the answer
(x³)^4

Answers

Answer:

the answer is x^12

Step-by-step explanation:

multiply 3 by 4 and you get 12

Answer:

Step-by-step explanation:

x^3^4

x^12  multiply the powers

Rewrite the fraction in simplest form.
24/36

Answers

24:2 = 12, 12:2 = 6, 6:3= 2
36:2 = 18, 18:2 = 9, 9:3= 3
So the answer is 2/3
make sure you divide the top and bottom number with the same number :D

Joshua does not want to spend more than $22 on a long-sleeve shirt. Which description of shirt prices would keep joshua within his spending limit, not including tax? Select all that apply a- 15% off %25 b- 30% off 32% c-19.65 plus 2.35 shipping fee d- 20.45 plus a $1.60 shipping fee

Answers

Answer:

the answer is C

Step-by-step explanation:

19.65 + 2.35 is exactly 22, not including tax

Answer:

A and C

Step-by-step explanation:

A. 15% off $25

15% = 0.15

0.15 x 25 = 3.75

25 - 3.75 = 21.25

22 or under? Yes

B. 30% off $32

30% = 0.30

0.30 x 32 = 9.60

32 - 9.60 = 22.40

22 or under? No

C. $19.65 plus a 2.35 shipping fee

19.65 + 2.35 = 22

22 or under? Yes

D. $20.45 plus a $1.60 shipping fee

20.45 + 1.60 = 22.05

22 or under? No

Even though this is late, the other answer did not mention A being the answer as well so I hope this helped!

An item regularly priced at $80 is on sale for 20% off. There is a 3% sales tax. What is the sale price before sales tax?

Answers

Answer:

The answer is $64.

Step-by-step explanation:

An item regularly priced at $80 is on sale for 20% off.

This amount becomes:

0.20*80=16 dollars

So, price after discount is 80-16=64 dollars

Given is that there is a 3% sales tax.

So, sales tax must have been applied to $64 before final bill.

And we have to tell the sale price before tax, so the answer is $64.

Therefore, the answer is $64.

the sale price before the sale tax is $ 60 and the sales taxes will be $ 180