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Lina20 [59]
3 years ago
12

two ropes, ad and bd, are tied to a peg on the ground at point d. the other ends of the rope are tied to points, a and b, on a f

lagpole. angle adc measure 45 degrees and angle bdc measures 30 degrees. IF the distance between point d and the flagpole is 5*the square root of 3 what is the distance between points a and b on the flagpole?
Mathematics
1 answer:
grin007 [14]3 years ago
7 0
I guess C is the point where the flagpole touches the ground. If so:

ADC is a an isosceles right triangle. (ACD = 90, ADC = 45, then DAC=45).
So DC = AC = 5√3. Now let's consider the right triangle BCD:
ADC = 30, tan 30 = BC/DC:
tan 30 = BC/5√3, or tan30 = √3/3 → √3/3 = BC/5√3 and
BC =5. But AB = AC - BC
AB = 5√3 - 5
AB =5(√3 - 1) or AB = 3.66

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23

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3 years ago
The entire graph of the function g is shown in the figure below.
marusya05 [52]

The domain of the function is [-4, 4) and the range of the function is [-5, 2)

<h3>How to determine the domain and the range of the function?</h3>

<u>The domain</u>

As a general rule, it should be noted that the domain of a function is the set of input values or independent values the function can take.

This means that the domain is the set of x values

From the graph, we have the following intervals on the x-axis

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This means that the domain of the function is [-4, 4)

<u>The range</u>

As a general rule, it should be noted that the range of a function is the set of output values or dependent values the function can produce.

This means that the range is the set of y values

From the graph, we have the following intervals on the y-axis

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y = 2 (open circle)

This means that the range of the function is [-5, 2)

Read more about domain and range at:

brainly.com/question/10197594

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7 0
2 years ago
What is the measure of the missing angle?<br> 280<br> 78°
nlexa [21]

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2 degrees

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Hope this helps!

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3 years ago
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ollegr [7]

3(x-9)

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6 0
3 years ago
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BlackZzzverrR [31]

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.5*12*10 = 60

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60*50 = 3000

7 0
4 years ago
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