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3 years ago

Solve for x. round your answer to the nearest tenthTrigonometry

Mathematics

1 answer:

nlexa [21]3 years ago

5 0

Answer:

$\displaystyle x \approx 16.5$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Trigonometry

[Right Triangles Only] SOHCAHTOA
[Right Triangles Only] tanθ = opposite over adjacent

Step-by-step explanation:

Step 1: Define

Angle θ = 70°

Opposite Leg = x

Adjacent Leg = 6

Step 2: Solve for x

Substitute in variables [tangent]: $\displaystyle tan70^\circ = \frac{x}{6}$
[Multiplication Property of Equality] Isolate x: $\displaystyle 6tan70^\circ = x$
Rewrite: $\displaystyle x = 6tan70^\circ$
Evaluate: $\displaystyle x = 16.4849$
Round: $\displaystyle x \approx 16.5$

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Under which condition does a country with a small GDP have a large per capita income? if it has a large population if it has a s

ratelena [41]

Per capita means per head or per person.

now, if a country has a small GDP hmmm say for the sake of example, $1000, and it has 1000 residents, then the per capita is $1000/1000 or a buck each.

now, $1000 is a really tiny GDP, but, if the population is say hmm 20 folks only, then the per capita amount is $1000/20, or $50 per person, now, that's a large "per capita" figure, more so than $1 per person, even though the GDP never changed, it was all along $1000.

so, if the population is comparitively small, the per capita is large, I think a good example of that is Switzerland.

sidenote:

bear in mind that per capita figures are very misleading, since you could have a tiny portion of the population making huge amounts and others making little, like in the US, and the per capita is very inaccurate to reflect the economy wealth distribution.

7 0

3 years ago

Read 2 more answers

Find the area of a rectangle that has the length of 2x-3 and the width of x .Someone painted an interior area of the rectangle a

Svet_ta [14]

Answer:

The area that was not painted is $(2x^{2}-6x+6)\ units^{2}$

Step-by-step explanation:

step 1

Find the area of the rectangle

we know that

The area of a rectangle is equal to

$A=LW$

In this problem we have

$L=2x-3$

$W=x$

substitute

$A=(2x-3)x\\A=(2x^{2}-3x)\ units^{2}$

step 2

Find the area that was painted

$A=(3)(x-2)\\A=(3x-6)\ units^{2}$

step 3

Find the area that was not painted

Subtract the area that was painted from the total area of rectangle

$A=(2x^{2}-3x)-(3x-6)=(2x^{2}-6x+6)\ units^{2}$

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3 years ago

Factor 15x3 – 5x2 + 6x – 2 by grouping

Tanzania [10]

5x2(3x-1)+2(3x-1)factoring furhter gives(5x2+2)(3x-1)

8 0

3 years ago

Help please thanks so much

suter [353]

Answer:

4/6 0r 2/3

Step-by-step explanation:

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3 years ago

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Let R be the event that a randomly chosen person lives in the city of Raleigh. Let O be the event that a randomly chosen person

Anit [1.1K]

Answer:

P(O|R)

Step-by-step explanation:

The conditional probability notation of two events A and B can be written as either P(A|B) or P(B|A).

The '|' sign is read as 'given'. So, P(A|B) is read as the probability of event A given event B which implies that it is the probability that event A will occur given that event B has already occurred.

In the question,

Event R = Person lives in the city of Raleigh

Event O = Person is over 50 years old

The statement says, 'given that the person lives in Raleigh' which means that event R has already occurred and we need to find the probability of event O (the randomly chosen person is over 50 years old).

Hence, this statement can be given in conditional probability notation as

P(O|R)

7 0

2 years ago

Solve for x. round your answer to the nearest tenthTrigonometry ​

Solve for x. round your answer to the nearest tenthTrigonometry