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2 years ago

What is the messure of N and the two angles; an-16 and 6n

Mathematics

1 answer:

AURORKA [14]2 years ago

7 0

Answer:

14, 96,84

Step-by-step explanation:

8n - 16 + 6n = 180 {Supplementary angles}

<u>8n + 6n</u> -16 = 180

Combine like terms

14n - 16 = 180

Add 16 to both sides

14n = 180 + 16

14n = 196

Divide both sides by 14

n = 196/14

n = 14

8n - 16 = 8*14 - 16 = 112 - 16 = 96

6n = 6 *14 = 84

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A certain forest covers an area of 2100 km^2. Suppose that each year this area decreases by 5.25%. What will the area be after 6

Neko [114]

Answer:

The area after 6 years is $1519.49km^2$

Step-by-step explanation:

Given

$a = 2100$ --- Initial Value

$r = 5.25\%$ --- Rate

Required

Determine the area after 6 years

Because the area reduces,, the following formula will be used to solve the question.

$y = a*(1 - r)^t$

Here

$t = 6$

So, we have:

$y = 2100*(1 - 5.25\%)^6$

Convert percentage to decimal

$y = 2100*(1 - 0.0525)^6$

$y = 2100*(0.9475)^6$

$y = 1519.47866516$

$y = 1519.49$ -- approximated

<em>The area after 6 years is </em> $1519.49km^2$ <em></em>

4 0

2 years ago

an actor gains 20pounds for a part and then losses 15 pounds during the filming of the movie to go along with the story.who do y

guajiro [1.7K]

Let the actor's initial weight be 'x'

He is then gaining 20 pounds. The clue is in the word 'gaining' as it means 'increasing' or in Mathematics can be related as 'plus'

The expression is: x+20

He then loses 15 pounds. The clue is in the word 'losses' as it means 15 pounds is to be subtracted from the last value

Last value is x + 20
The weight now is x + 20 - 15 = x + 5

7 0

3 years ago

Point A is at (5, 6) on the coordinate plane. It is reflected over the y-axis to create point B. Point A is then reflected over

Virty [35]

The area of the triangle which is formed as described is; 60.

<h3>What is the area of the triangle formed?</h3>

According to the task content, when Point A(5,6) is reflected over the y-axis, the point B formed is; (-5,6) and when reflected over both axis, the point C formed is; (-5,-6).

It therefore follows that the length of segments AB and BC which represents the base and height of the triangle formed are; 10 and 12 respectively.

Therefore, the area of the triangle is; (1/2) × 10 × 12 = 60.