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3 years ago

Some help figuring out the answer?? Also explain a little how you got there

Mathematics

1 answer:

ipn [44]3 years ago

6 0

9514 1404 393

Answer:

x = 10·cos(θ) -4·cot(θ)

Step-by-step explanation:

Apparently, we are to assume that the horizontal lines are parallel to each other.

The relevant trig relations are ...

Sin = Opposite/Hypotenuse

Cos = Adjacent/Hypotenuse

If the junction point in the middle of AB is labeled X, then we have ...

sin(θ) = 4/BX ⇒ BX = 4/sin(θ)

cos(θ) = x/XA ⇒ XA = x/cos(θ)

Then ...

BX +XA = AB = 10

Substituting for BX and XA using the above relations, we get

4/sin(θ) +x/cos(θ) = 10

Solving for x gives ...

x = (10 -4/sin(θ))·cos(θ)

x = 10·cos(θ) -4·cot(θ) . . . . . simplify

_____

We used the identity ...

cot(θ) = cos(θ)/sin(θ)

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4 sin ^ 2 x- 4 sin x + 1 = 0

m_a_m_a [10]

$4\sin^2x-4\sin x+1=(2\sin x-1)^2=0\implies \sin x=\dfrac12$

This happens for $x=\dfrac\pi6+2n\pi$ and $x=\dfrac{5\pi}6+2n\pi$ where $n$ is any integer.

8 0

3 years ago

n 2000 the population of a small village was 2,400. With an annual growth rate of approximately 1.68%, compounded continuously,

Nitella [24]

Answer:

The population would be 3358

Step-by-step explanation:

Since, exponential growth function if the growth is compound continuously,

$A = Pe^{rt}$

Where,

P = initial population,

r = growth rate per period,

t = number of periods,

Given,

The population in 2000, P = 2,400,

Growth rate per year = 1.68% = 0.0168,

Number of years from 2000 to 2020, t = 20,

Thus, the population in 2020,

$A=2400 e^{0.0168\times 20}$

$=2400 e^{0.336}$

$= 3358.4136$

$\approx 3358$

6 0

3 years ago

Question 8

mafiozo [28]

Answer

Step-by-step explanation:

8 0

3 years ago

When 0.5 and the number n are multiplied the result is 2.5 what is the value of n

tresset_1 [31]

first form an equation to solve the problem

<em>bring 0.5 over to the other side and divide it by 2.5</em>

<em>the answer is </em>

<em>so,</em>

hope that helps :)

8 0

3 years ago

Please help quickly, if someone answers quickly I'll give them Brainly.

denis-greek [22]

1. A

I hope this helped! This is because the division of numbers and factors are equal to this.

6 0

3 years ago

Read 2 more answers