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3 years ago

ASAP ASAP HELP MARK AS BRAINLIEST

Mathematics

2 answers:

Softa [21]3 years ago

6 0

Answer: Width of 32 inches high school flag = 72 inches.

Height of 48 inches wide school flag = 21.3 inches

Step-by-step explanation:

Given : Washington Middle school's school flag has a height -width ratio of 12:27. (1)

Let x be the width of 32 inches high school flag.

Then height -width ratio = $\dfrac{32}{h}$ (2)

From (1) and (2) , we have

$\dfrac{32}{x}=\dfrac{12}{27}\\\\\Rightarrow\ x=\dfrac{27\times32}{12}=72$

Hence, width of 32 inches high school flag = 72 inches.

Let h be the height of 48 inches wide school flag.

Then height -width ratio = $\dfrac{h}{48}$ (3)

From (1) and (3) , we have

$\dfrac{h}{48}=\dfrac{12}{27}\\\\\Rightarrow\ h=\dfrac{12\times48}{27}=21.3333333333\approx21.3$

Hence, height of 48 inches wide school flag = 21.3 inches

Anna007 [38]3 years ago

4 0

Alright, imma help you. Imma work on it on a piece of paper. :D

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What does i^739 equal? explain how you found your answer.

Sophie [7]

<h3>Answer: -i</h3>

========================================================

Explanation:

i = sqrt(-1)

Lets list out the first few powers of i

i^0 = 1
i^1 = i
i^2 = -1
i^3 = i*i^2 = i*(-1) = -i
i^4 = (i^2)^2 = (-1)^2 = 1

By the time we reach the fourth power, we repeat the cycle over again (since i^0 is also equal to 1). The cycle is of length 4, which means we'll divide the exponent over 4 to find the remainder. Ignore the quotient. That remainder will determine if we go for i^0, i^1, i^2 or i^3.

For example, i^5 = i^1 because 5/4 leads to a remainder 1.

Another example: i^6 = i^2 since 6/4 = 1 remainder 2

Again, we only care about the remainder to find out which bin we land on.

-------------

Turning to the question your teacher gave you, we have,

739/4 = 184 remainder 3

So i^739 = i^3 = -i

<h3>-i is the final answer</h3>

--------------

Side notes:

if i^a = i^b, then a-b is a multiple of 4
Recall that the divisibility by 4 trick involves looking at the last two digits of the number. So i^739 is identical to i^39.

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