Question 1 (1 point) Question 1 Unsaved

Mathematics

1 answer:

QveST [7]2 years ago

7 0

en la cocina (where is the dishwasher? the kitchen)

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(3cosx-4sinx) + (3sinx+4cosx) = 5

Ksenya-84 [330]

(3 cos x-4 sin x)+(3sin x+4 cos x)=5
(3cos x+4cos x)+(-4sin x+3 sin x)=5
7 cos x-sin x=5
7cos x=5+sin x
(7 cos x)²=(5+sinx)²
49 cos²x=25+10 sinx+sin²x
49(1-sin²x)=25+10 sinx+sin²x
49-49sin²x=25+10sinx+sin²x
50 sin² x+10sinx-24=0

Sin x=[-10⁺₋√(100+4800)]/100=(-10⁺₋70)/100
We have two possible solutions:
sinx =(-10-70)/100=-0.8
x=sin⁻¹ (-0.8)=-53.13º (360º-53.13º=306.87)

sinx=(-10+70)/100=0.6
x=sin⁻¹ 0.6=36.87º

The solutions when 0≤x≤360º are: 36.87º and 306.87º.

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2 years ago

What is the total of 49 1/4+3 3/8

zepelin [54]

52 5/8 because 49 + 3 = 52 and 2/8 + 3/8 = 5/8

3 0

3 years ago

Read 2 more answers

Construct 98% confidence intervals based on the following data: 49, 38, 67, 69, 58, 70, 66, 85.

Orlov [11]

Answer:

May I have a little more context please?

Step-by-step explanation:

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3 years ago

Triangle PQR has vertices at the following coordinates : P(0,1) Q(3,2) R(5,-4) . Determine wether or not triangle PQR is a right

lord [1]

Here is my answer. Hope this help.

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3 years ago

A small town's population, P, can be modeled by the equation P (t) = 45,000(2.66), where t is the time in years. Is the statemen

ICE Princess25 [194]

A function assigns the values. The statement "The rate of population growth each year is 166%" is true.

<h3>What is a Function?</h3>

A function assigns the value of each element of one set to the other specific element of another set.

Given the function of the population for the town is $P (t) = 45,000(2.66)^t$ , where t is the time in years. Comparing the given function to the general function of the population,

P(x) = a(1+b)ˣ

Then, the value of b will be 166%.

Hence, the statement "The rate of population growth each year is 166%" is true.

Learn more about Function:

brainly.com/question/5245372

#SPJ1

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2 years ago