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3 years ago

If A = 117 degrees, B = 12 degrees, and b = 12, find a. Round to the nearest tenth.

Mathematics

1 answer:

ludmilkaskok [199]3 years ago

5 0

Answer:

Step-by-step explanation:

a b

a 12

a * sin(12) = 12 * sin(117)

a = <u>12 * sin(117)</u>

sin(12)

a = 51.4

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Please help me!

marusya05 [52]

Answer:

Step-by-step explanation:

Nice summary problem.

<AEC

AEC = 360 - 243.5 = 116.5
The number of degrees in 1 rotation of a circle = 360o. You have accounted for 243.5 degrees. What is left over is the answer.

<EAD and <ECD

Both of these are tangents to a circle. Tangents meet radii at 90 degree angles.

<EAD = <ECD = 90 degrees

<ABC

<ABC is 1/2 the central angle. The Central angle is <AEC

< AEC = 116.5
<ABC = 1/2 * 116.5
<ABC = 58.25

<ADC

There are 2 ways of doing this. You should know both of them.

All quadrilaterals = 360 degrees. You know three of the angles. You should be able to find ADC

<ADC + 90 + 90 + 116.5 = 360 Add the four angles together.
<ADC + 296.5 = 360 Combine terms on the left
<ADC = 360 - 296.5 Subtract 238.25 from both sides
<ADC = 63.5 Answer

<em><u>Method Two</u></em>

<ADC = 1/2 (major Arc - Minor Arc) This formula is fundamental to circle / tangent properties. The Major arc is the larger of the two parts of the circumference of a circle. The Minor arc is the smaller.

<ADC = 1/2(243.5 - 116.5)
<ADC = 1/2(127)
<ADC = 63.5

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Which phrase best describes the translation from the graph y=(x-5)^2+7 to the graph of y=(x+1)^2-2

Helga [31]

Start from the parent function $f(x)=x^2$

In the first case, you are computing

$f(x-5)+7$

In the second case, you are computing

$f(x+1)-2 /tex] There are two translation going on: when you transform [tex] f(x) \to f(x+k)$ , you translate the function horizontally, $k$ units left if $k>0$ and $k$ units right if $k$ .

On the other hand, when you transform $f(x) \to f(x)+k$ , you translate the function vertically, $k$ units up if $k>0$ and $k$ units down if $k$ .

So, the first function is the "original" parabola $f(x)=x^2$ , translated $5$ units right and $7$ units up. Likewise, the second function is the "original" parabola $f(x)=x^2$ , translated $1$ units left and $2$ units down.