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andreev551 [17]
3 years ago
14

PLEASE HELP ME I BEG

Mathematics
1 answer:
Kay [80]3 years ago
8 0

Answer:

see explanation

Step-by-step explanation:

Using the trigonometric identity

• 1 + cot²x = csc²x

Consider the left side

csc^{4} x - cot^{4} x

Factorise as a difference of squares

= (csc²x - cot²x)(csc²x + cot²x)

= (1 + cot²x - cot²x)(csc²x + cot²x)

= csc²x + cot²x

= csc²x + csc²x - 1

= 2csc²x - 1 = right side ⇒ verified




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The actual perimeter of the park is \boxed{\bf251{\text{ meters}}}.

Further explanation:

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The perimeter of the park is on a map 0.251{\text{ meters}}. The measured perimeter of the park is 1000 times as large.  

Calculation:

The distance of the closed figure is called as the perimeter.

The perimeter of the attached Figure 1 can be calculated as,

\begin{aligned}{\text{Perimeter}}&=a+a+b+b\\&=2\left({a+b}\right)\\\end{aligned}

Here, x,y{\text{ and }}z is the length of the shape.

From place value chart, 10 tens is equal to 1 hundreds.

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\dfrac{5}{{100}}=0.05

One thousandths can be written in the form of decimal as follows:

\dfrac{1}{{1000}}=0.001

Therefore, the number 0.251 can be written as,

\begin{aligned}0.251&=\frac{2}{{10}}+\frac{5}{{100}}+\frac{1}{{1000}}\\&=0.2+0.05+0.001\\&=0.251\\\end{aligned}

On the map the perimeter of the park is 0.251{\text{ meters}}.

Let {\text{P}} be the actual perimeter of the park.

The actual perimeter of the park can be calculated as follows,

\begin{aligned}{\text{P}}&=0.251\times1000\\&=251{\text{ meters}}\\\end{aligned}

Thus, the actual perimeter of the park is \boxed{\bf251{\text{ meters}}}.

Learn more:

1. Learn more about problem on function brainly.com/question/1632445

2. Learn more about problem on triangle brainly.com/question/7437053

3. Learn more about problem on range and domain of functions brainly.com/question/3412497

Answer details:

Grade: Middle school

Subject: Mathematics

Chapter: Numbers

Keywords: Perimeter, park, map,  , measured, 1000 times large, distance, closed figure, length, shape, place value chart, hundreds, tenths.

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