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Veronika [31]
2 years ago
14

Tan2(θ) − 3 = 0 Find all solutions for the given equation.

Mathematics
1 answer:
kondaur [170]2 years ago
4 0
Hello :
tan²(θ) = 3.. equi : tan(θ) = √3  or tan(θ) = -√3
1 ) tan(θ) = √3
tan(θ) = tan(<span>π/3)
</span>θ = π/3 +kπ  k in Z
2)tan(θ) = -√3
tan(θ) = tan(-π/3)
θ = -π/3 +kπ  k in Z


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The depth of a lake in Lexington changes over time due to rainfall and evaporation. A few months ago, the depth was 1,300 feet.
SVETLANKA909090 [29]

Answer:

The Depth of the lake had increased by 19%.

Step-by-step explanation:

Given:

Depth of lake few months ago = 1300 ft

depth of lake currently = 1547 ft

We need to find the percent of increase in depth of lake.

Solution:

First we will find the increase in depth of lake.

Increase in depth of lake can be calculated by subtracting Depth of lake few months ago from depth of lake currently.

framing in equation form we get;

increase in depth of lake = 1547-1300= 247\ ft

Now to find the percent of increase in depth of lake we will divide  increase in depth of lake from Depth of lake few months ago and then multiply by 100.

framing in equation form we get;

percent of increase in depth of lake = \frac{247}{1300}\times 100 =  19\%

Hence the Depth of the lake had increased by 19%.

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3 years ago
70% of a school budget is spent on teachers, 10% on other staff, and the rest on energy and resources. A Write the ratio of the
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What is the inequality??
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Step-by-step explanation:

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2 years ago
The monthly charge for a waste collection service is 1830 dollars for 100 kg of waste and 2460 dollars for 135 kg of waste. (a)
Ulleksa [173]

Answer:

C=18w+30

Step-by-step explanation:

We are given that The monthly charge for a waste collection service is 1830 dollars for 100 kg of waste

So, (x_1,y_1)=(100,1830)

We are also given that The monthly charge for a waste collection service is 2460 dollars for 135 kg of waste.

So, (x_2,y_2)=(135,2460)

We are supposed to find a linear model for the cost, C, of waste collection as a function of the number of kilograms, w.

So, we will use two point slope form :

Formula : y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)

Substitute the values

y-1830=\frac{2460-1830}{135-100}(x-100)

y-1830=18(x-100)

y-1830=18x-1800

y=18x-1800+1830

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So, Replace y with C and x with w

C=18w+30

So, a linear model for the cost, C, of waste collection as a function of the number of kilograms, w is C=18w+30

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2 years ago
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