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Anestetic [448]

3 years ago

9

Find the area of the circle.leave your answer in terms of

1 answer:

valkas [14]3 years ago

3 0

D=2.r

3.6m=2r

3.6m DIVITE BY 2=1.8

Answer it is (d) 1.8

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From an observation deck, Matt spots two deer to the right of the observation deck, standing 108 feet apart in a field below. Th

TEA [102]

Answer:

The height of the observation deck is approximately 47.266 feet.

Step-by-step explanation:

We include a geometrical representation of the statement in the image attached below. Let be O the location of the observation deck, and A and B the locations of the two deers, which are 108 feet apart of each other. By knowing that sum of internal angles within triangle equals 180º. The angles O, B and A are now determined:

$\angle O = 36.283^{\circ}-15.333^{\circ}$

$\angle O = 20.950^{\circ}$

$\angle B = 180^{\circ}-90^{\circ}-(90^{\circ}-15.333^{\circ})$

$\angle B = 15.333^{\circ}$

$\angle A = 180^{\circ}-\angle O - \angle B$ (1)

$\angle A = 180^{\circ}-20.950^{\circ}-15.333^{\circ}$

$\angle A = 143.717^{\circ}$

By the law of Sine we determine the length of the segment OB:

$\frac{AB}{\sin O} = \frac{OB}{\sin A}$ (2)

$OB = \left(\frac{\sin A}{\sin O}\right)\cdot AB$

If we know that $\angle A = 143.717^{\circ}$ , $\angle O = 20.950^{\circ}$ and $AB = 108\,ft$ , then the length of the segment OB is:

$OB = \left(\frac{\sin 143.717^{\circ}}{\sin 20.950^{\circ}} \right)\cdot (108\,ft)$

$OB \approx 178.747\,ft$

Lastly, we determine the height of the observation deck by the following trigonometric identity:

$d = OB\cdot \sin B$ (3)

If we know that $OB \approx 178.747\,ft$ and $\angle B = 15.333^{\circ}$ , then the height of the observation deck is:

$d = (178.747\,ft)\cdot \sin 15.333^{\circ}$

$d\approx 47.266\,ft$

The height of the observation deck is approximately 47.266 feet.

8 0

2 years ago

Is 1.356356356 a rational number

Ierofanga [76]

Yes 1.356356356 is a ration number because it repeats.

4 0

3 years ago

What is the solution w + 1 < -3

likoan [24]

$w+1\ \textless \ -3\\
w\ \textless \ -4$

6 0

2 years ago

If you had 4x-1 animals and 2x+4 people in your house with a total of 15 living beings, how many pets are there? *

Dvinal [7]

X=2

Explanation:
6x+3=15
6x=15-3
6x=12
X=2

4 0

2 years ago

Read 2 more answers

Solve for (g).<br><br> −3+5+6g=11−3g<br><br> g= ?

Zina [86]

Answer:

g=1

Step-by-step explanation:

Given equation is \[−3+5+6g=11−3g\]

Simplifying, \[2+6g=11−3g\]

Bringing all the terms containing g to the left hand side and the numeric terms to the right hand side,

\[6g + 3g=11−2\]

=> \[(6 + 3)g=9\]

In other words, \[g=\frac{9}{9}\]

Or, g = 1

The given equation is satisfied for g=1.

Validation:

Left hand side of the equation: -3+5+6 = 8

Right hand side of the equation: 11-3 = 8

3 0

3 years ago