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3 years ago

Solve for x in the triangle A 1.7 B 2.6 C 2.7 D 3.0

Mathematics

2 answers:

11Alexandr11 [23.1K]3 years ago

3 0

Answer:

Step-by-step explanation:

Given 2 sides and the included angle use the Cosine rule to solve for x

x² = 1.6² + 1.1² - (2 × 1.6 × 1.1 × cos78° )

= 2.56 + 1.21 - ( 3.52 × cos78° )

= 3.77 - 0.7318

= 3.0382

Take the square root of both sides

x = $\sqrt{3.0382}$ = 1.7 → A

Jet001 [13]3 years ago

3 0

Answer:b

hope this helps

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Suppose that poaching reduces the population of an endangered animal by

Sedbober [7]

Answer:

38.26 years.

Step-by-step explanation:

We have been given that the population of an endangered animal by reduces 8% per year. the current population of the animal is 1700. When the population of this animal falls below 70, its extinction is inevitable.

Let us write the model for population of this animal (y) after x years.

Since we know that an exponential decay function is in form: $y=a*(1-r)^x$ , where,

a= Initial value.

r = Rate in decimal form.

Let us convert our given rate in decimal form.

$8\%=\frac{8}{100}=0.08$

Upon substituting a= 1700 and r = 0.08 in exponential function, we will get the model of animal population as:

$y=1700*(1-0.08)^x$

$y=1700*(0.92)^x$

Let us find, when the animal population will face extinction by substituting y=70 in our function.

$70=1700*(0.92)^x$

$\frac{70}{1700}=\frac{1700*(0.92)^x}{1700}$

$0.0411764705882353=0.92^x$

Let us take natural log of both sides of our equation.

$ln(0.0411764705882353)=ln(0.92^x)$

$ln(0.0411764705882353)=x*ln(0.92)$

$-3.1898882879949483163=x*-0.0833816089390511$

$x=\frac{-3.1898882879949483163}{-0.0833816089390511}$

$x=38.2564971890460849445284\approx 38.26$

Therefore, the population of the animal will face extinction after 38.26 years.

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4 years ago

A community college in Hawaii has a student-to-faculty ratio of 14 to 1. How many faculty members are at the college if it has 4

Allushta [10]

4200/14 = 300 faculty members

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3 years ago

87.5% of 64 = 38 48 58 56

Dafna11 [192]

87.5% of 64 is 0.875 • 64 = 56

Hope this helps.

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4 years ago

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Step-by-step explanation:

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2 years ago

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m_a_m_a [10]

5/5 as a percent would be 100%

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3 years ago