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3 years ago

HELP WITH THESE QUESTIONS PART 2... 1 Question

Mathematics

1 answer:

Lunna [17]3 years ago

7 0

Step-by-step explanation and Answers:

$(\frac{1}{\sqrt{10}},\frac{3}{\sqrt{10}})$ is in the format (cos, sin). So, adjacent = 1, opposite = 3, hypotenuse = $\sqrt{10}$

sin = $\frac{opposite}{hypotenuse}$ = $\frac{3}{\sqrt{10}}(\frac{\sqrt{10}}{\sqrt{10}})$ = $\frac{3\sqrt{10}}{10}$

cos = $\frac{adjacent}{hypotenuse}$ = $\frac{1}{\sqrt{10}}(\frac{\sqrt{10}}{\sqrt{10}})$ = $\frac{\sqrt{10}}{10}$

tan = $\frac{opposite}{adjacent}$ = $\frac{3}{1}$ = 3

csc = $\frac{hypotenuse}{opposite}$ = $\frac{\sqrt{10}}{3}$

sec = $\frac{hypotenuse}{adjacent}$ = $\frac{\sqrt{10}}{1}$ = $\sqrt{10}$

cot = $\frac{adjacent}{opposite}$ = $\frac{1}{3}$

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Simplify: -1/2(6n+4) +2n - 5

Maurinko [17]

Answer:

Step-by-step explanation:

$\frac{-1}{2}(6n+4)+2n-5 \\\\\frac{-1}{2}2(3n+2)+2n-5\\ -(3n+2)+2n-5\\-3n-2+2n-5\\-n-7$

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3 years ago

Algebra 2 (picture shown)

TEA [102]

Answer:

M(13)=14.3 gram

Step-by-step explanation:

Exponential Decay Function

The exponential function is used to model natural decaying processes, where the change is proportional to the actual quantity.

An exponential decaying function is expressed as:

$C(t)=C_o\cdot(1-r)^t$

Where:

C(t) is the actual value of the function at time t

Co is the initial value of C at t=0

r is the decaying rate, expressed in decimal

The element has an initial mass of Mo=970 grams, the decaying rate is r=27.7% = 0.277 per minute.

The equation of the model is:

$M(t)=M_o\cdot(1-r)^t$

$M(t)=970\cdot(1-0.277)^t$

Operating:

$M(t)=970\cdot 0.723^t$

After t=13 minutes the remaining mass is:

$M(13)=970\cdot 0.723^{13}$

Calculating:

M(13)=14.3 gram

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2 years ago

X - 3 = 7 pls help step by step explanation

PtichkaEL [24]

Answer:

x = 10

Step-by-step explanation:

First, to solve for x, you need to isolate the variable, meaning that it needs to be the only term on one side of the equation. To do this, we'll just cancel out the -3 by adding +3 on both sides of our equation.

x - 3 = 7

+3 +3

x = 10

Leaving us with our answer, x = 10

Hope this helped :)

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2 years ago

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Answer:

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2 years ago

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Answer:

Step-by-step explanation:

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2 years ago