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2 years ago

The area of the sector of a circle of radius r/2 and central angle 2θ is __________

Mathematics

1 answer:

olasank [31]2 years ago

6 0

S= 20/360 . Pi*(r square )
=0.055 * 3.14 * 4
= 0.7

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Sin tita= 0.6892.find the value Of tita correct to two decimal places

Anvisha [2.4K]

Answer:

$\theta \approx 6.28n + 2.38, \quad n \in \mathbb{Z}$

$\theta \approx 6.28n + 0.76, \quad n \in \mathbb{Z}$

Considering $\theta \in (0, 2\pi]$

$\theta \approx 2.38$

$\theta \approx 0.76$

Step-by-step explanation:

$\sin(\theta)=0.6892$

We have:

$\sin (x)=a \Longrightarrow x=\arcsin (a)+2\pi n \text{ or } x=\pi -\arcsin (a)+2\pi n \text{ as } n\in \mathbb{Z}$

Therefore,

$\theta= \arcsin (0.6892)+2\pi n, \quad n \in \mathbb{Z}$

$\theta = \pi -\arcsin (0.6892)+2\pi n, \quad n\in \mathbb{Z}$

---------------------------------

$\theta \approx 6.28n + 2.38, \quad n \in \mathbb{Z}$

$\theta \approx 6.28n + 0.76, \quad n \in \mathbb{Z}$

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2 years ago

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jarptica [38.1K]

Answer:

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The two men measure the angle of elevation to the highest point on the rock to be 22.6°. They

IgorC [24]

Answer:

15 m

Step-by-step explanation:

Refer to attached picture

The height = h
Angles of elevation 22.6° and 38.3°
Closer distance = d

Use tangent to solve

tan 22.6° = h/(d + 17) ⇒ h = (d + 17) tan 22.6° ⇒ h = 0.42(d + 17)
tan 38.3° = h/d ⇒ h = d tan 38.3° ⇒ h = 0.79d

Compare the equations above and find the value of d:

0.42(d + 17) = 0.79d
0.42d + 7.14 = 0.79d
0.79d - 0.42d = 7.14
0.37 d = 7.14
d = 7.14/0.37
d = 19.3 m

Now find the value of h:

h = 0.79d
h = 0.79*19.3
h = 15

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2 years ago

Which steps will translate f(x)=3^x to g(x)=3^x+1+4

Mars2501 [29]

The expression for g(x) is wrong, you skipped some signs and, apparentely, some parentheses. The rigtht expression for g(x) should be g(x) = 3(x+1) + 4. Note that g(x) = 3(x+1) + 4 it is the same that f(x+1) + 4. When you add a number to the argument, the graph of function is shifted that number of units to the left; and when you add a number to the function the graph shifts that number of units up. Therefore, the steps that will translate f(x) = 3x to g(x) = 3(x+1) + 4 is shift f(x) one unit to the left and four units up.
For the answer to the question on which steps will translate f(x) = 3x to g(x) = 3x + 1 + 4? The answer to this question is
f(x) = 3x one unit to the left and four units up

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2 years ago