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guapka [62]
3 years ago
6

TASK 2

Mathematics
1 answer:
Snowcat [4.5K]3 years ago
4 0

Step-by-step explanation:

The required shape is a square.

Refer to the attachment.

The sides of a square are equal. So, the answer is a square.

[Drawing Courtesy- Brainly app]

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At the beginning of an environmental study, a forest covered an area of 1500 km2 . Since then, this area has decreased by 9.8% e
fredd [130]

Answer:

A(t)=(0.902)^t \cdot 1500 [km^2]

Step-by-step explanation:

In this problem, the initial area of the  forest at time t = 0 is

A_0 = 1500 km^2

After every year, the area of the forest decreases by 9.8%: this means that the area of the forest every year is (100%-9.8%=90.2%) of the area of the previous year.

So for instance, after 1 year, the area is

A_1 = A_0 \cdot \frac{90.2}{100}=0.902 A_0

After 2 years,

A_2=0.902 A_1 = 0.902(0.902A_0)=(0.902)^2 A_0

And so on. So, after t years, the area of the forest will be

A(t)=(0.902)^t A_0

And by substituting the value of A0, we can find an explicit expression:

A(t)=(0.902)^t \cdot 1500 [km^2]

8 0
4 years ago
SecA-1= secA(1-cosA)
horsena [70]

Answer by JKismyhusbandbae:

\mathrm{Manipulating\:left\:side}\\\sec \left(a\right)-1\\Express\:with\:sin,\:cos\\=-1+\frac{1}{\cos \left(a\right)}\\\mathrm{Simplify}\:-1+\frac{1}{\cos \left(a\right)}:\quad \frac{-\cos \left(a\right)+1}{\cos \left(a\right)}\\\frac{1-\cos \left(a\right)}{\cos \left(a\right)}\\\mathrm{Use\:the\:following\:identity:}\:\frac{1}{\cos \left(x\right)}=\sec \left(x\right)\\=\left(1-\cos \left(a\right)\right)\sec \left(a\right)\\\mathrm{We\:showed\:that\:the\:two\:sides\:could\:take\:the\:same\:form}\\

\Rightarrow \mathrm{True}

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P(2) is 14, because the <em>2</em> represents where the number in<em> t,</em> so you have to find the number under 2, so you get 14.
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