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Anna35 [415]
2 years ago
11

Find the value of x. Round to the nearest tenth. 27° х 34° 11 X = [ ?

Mathematics
1 answer:
Mumz [18]2 years ago
8 0

Answer:

{ \tt{from \: sine \: rule : }} \\ { \bf{ \frac{ \sin(A) }{A}  =  \frac{ \sin(B) }{B} }} \\  \\ { \bf{ \frac{ \sin(34 \degree) }{x}  =  \frac{ \sin(27 \degree) }{11} }} \\  \\ { \bf{x =  \frac{11 \times  \sin(34 \degree) }{ \sin(27 \degree) } }} \\  \\  { \tt{x = 13.5}}

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Answer:

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2 years ago
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Y^3-8y^2+19y=12<br>Solve​
Sliva [168]

Answer:

Step-by-step explanation:

steps are below

step 1

y^3-8y^2+19y=12  equation

step 2

y^3-8y2+19y(-12)=12(-12)  minus 12 from both sides

y^3-8y^2+19y-12=0

step 3

(y-1)(y-3)(y-4)=0  add brackets

step 4

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step 5

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3 0
3 years ago
What is the maximum area for a rectangle whose perimeter is 48 meters?
MakcuM [25]

Answer:

12m²

Step-by-step explanation:

For a rectangle, with length L and width W,

the perimeter is given as

Perimeter,

P = (2 x Length)  + (2 x Width)

P = 2L + 2W

It is given that the perimeter is 48, hence

48 = 2L + 2W   (divide both sides by 2)

24 = L + W

or

L = 24 - W -----> eq 1

Also realize that the Area of a Rectangle is given by

A = L x W  -----> eq 2

Substituting eq 1 into eq 2,

A = (24 - W) x W

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In this case, b = 24 and a = -1

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5 0
3 years ago
In a circle with a radius of 12.6 ft, an arc is intercepted by a central angle of 2 radians
Gennadij [26K]

<em><u>Question:</u></em>

In a circle with a radius of 12.6 ft, an arc is intercepted by a central angle of 2π/7 radians.

What is the arc length?

Use 3.14 for π and round your final answer to the nearest hundredth.

Enter your answer as a decimal in the box.

<em><u>Answer:</u></em>

<h3>Arc length is 11.30 feet</h3>

<em><u>Solution:</u></em>

Given that,

Radius of circle = 12.6 feet

Central angle = \frac{2 \pi }{7} radians

To find: Arc length

<em><u>The arc length of a circle of radius "r" when central angle given in radians is:</u></em>

s = r \times \theta

Where,

s is the arc length

r is the radius

\theta is the central angle in radians

<em><u>Substituting the values we get,</u></em>

s = 12.6 \times \frac{2 \times \pi }{7}\\\\s = 12.6 \times \frac{2 \times 3.14 }{7}\\\\x = 11.304 \approx 11.30

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7 0
3 years ago
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andrew11 [14]

Answer:

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Explanation:

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8 0
2 years ago
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