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3 years ago

If cos(90-θ)=BC/CA, write the ratio of cosθ?

Mathematics

1 answer:

IrinaVladis [17]3 years ago

6 0

Answer:

Solution given:

cos(90-θ)=BC/CA

we have

cos(90-θ)=Cosθ

ratio of cosθ is BC/CA

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A city’s population, P, is modeled by the function P(x) = 78,500( 1.02 )x where x represents the number of years after the year

Levart [38]

Population 78500
Increased by 2%

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4 years ago

If a simple harmonic motion is described by x = 3 cos(πt), starting from t = 0 s, what is the first occurrence of a value of t f

poizon [28]

Answer:

The first occurence of t for which x = 0 is t = 0.5.

Step-by-step explanation:

The harmonic motion is described by the following equation.

$x(t) = 3\cos{\pi t}$

What is the first occurrence of a value of t for which x = 0?

This is t when $x(t) = 0$ . So

$x(t) = 3\cos{\pi t}$

$3\cos{\pi t} = 0$

$\cos{\pi t} = \frac{0}{3}$

$\cos{\pi t} = 0$

The inverse of the cosine is the arcosine. So we apply the arcosine function to both sides of the equality.

$\arccos{\cos{\pi t}} = \arccos{0}$

$\pi t = \frac{\pi}{2}$

$t = \frac{\pi}{2 \pi}$

$t = \frac{1}{2}$

$t = 0.5$

The first occurence of t for which x = 0 is t = 0.5.

3 0

3 years ago

A party rental company has chairs and tables for rent. The total cost to rent 3 chairs and 5 tables is $39 . The total cost to r

IrinaVladis [17]

3c + 5t = 39....multiply by -3
9c + 7t = 63
----------------
-9c - 15t = - 117 (result of multiplying by -3)
9c + 7t = 63
---------------add
- 8t = - 54
t = -54/-8
t = 6.75 <=== tables are 6.75

3c + 5t = 39
3c + 5(6.75) = 39
3c + 33.75 = 39
3c = 39 - 33.75
3c = 5.25
c = 5.25/3
c = 1.75 <=== 1.75 per chair

7 0

4 years ago

What is the area of the trapezoid?

tensa zangetsu [6.8K]

Answer:

24 square units

Step-by-step explanation:

For Trapezoid

a = 8

b = 4

h = 4

Area of Trapezoid