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Luden [163]
3 years ago
9

A compass draws all points that are equidistant from a fixed point, thereby creating a Locus of points for a circle

Mathematics
1 answer:
sergey [27]3 years ago
3 0
Answer is true hope this helps
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(9CQ) Find the distance from the balloon to the soccer fields.
almond37 [142]

Answer:

The distance from the balloon to the soccer fields = 3.6 miles ⇒ answer (b)

Step-by-step explanation:

* Let the hot air balloon  at point A , the soccer fields

  at point B and the football field at point C

∵ The measure of the angle of depression to the

   soccer fields is 20° 15'

∴ The measure of angle B = 20° 15'

∵ The measure of the angle of depression to the

   football field is 62° 30'

∴ The measure of angle C = 62° 30'

∵ The sum of measures of the interior angles of any triangle = 180°

∴ The measure of angle A = 180 - (20° 15' + 62° 30') = 97° 15'

* The distance between the balloon and the soccer field

  is represented by the side AB of triangle ABC

- Use the sin Rule to find the length of side AB

∵ a/sin(A) = b/sin(B) = c/sin(C)

- a is the side opposite to angle A, b is the side opposite

 to angle B and c is the side opposite to angle C

∵ AB = c ⇒ opposite to angle C

∵ The distance between the two fields = 4 miles

∴ BC = 4 miles

∵ BC = a ⇒ opposite to angle A

∴ 4/sin(97° 15') = c/sin(62° 30')

∴ c = (4 × sin(62° 30')) ÷ sin(97° 15')

∴ c = 3.6 miles

∴ The distance from the balloon to the soccer fields = 3.6 miles

   answer (b)

4 0
3 years ago
Whats 90 divided by 2 times 5
Allisa [31]

Answer:

225

Step-by-step explanation:

90 divided by 2 is 45, 45 times 5 is  225

4 0
3 years ago
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Every 3 days Marco fills up his car with gas. Every 8 days he washes his car. On what day will Marco fill his car with gas and w
stiks02 [169]
I the week starts on Monday he will fill Monday and Saturday and on each Monday he will wash his car
7 0
3 years ago
Simplify: 4x^2+36/4x•1/5x
user100 [1]
\frac{4x^2+36}{4x}* \frac{1}{5x}  = \frac{4(x^2+9)}{20x^2} = \frac{x^2+9}{5x^2}
3 0
3 years ago
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54 ÷ (−6)<br><br><br> A. 9<br><br> B. -9<br><br> C. -8
sp2606 [1]

Answer:

Option B, -9

Hope this helps!

6 0
3 years ago
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