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3 years ago

Please help me somebody anybody

Mathematics

1 answer:

denis-greek [22]3 years ago

4 0

"two less than 3/2 of a number (x) is no more than 5 1/2"
3/2x-2</5 1/2 (</ means less than or equal to)
simplify
1.5x-2 </5.5
+2 both sides
1.5x</7.5
÷1.5 both sides
x</5
circle is closed
arrow is to the left
(1st number line )

"the sum of two times a number (x) and -2 is at least 8"
2x+-2>/8 (>/ means greater than or equal to)
2x-2>/8
+2 both sides
2x>/10
÷2 both sides
x>/5
circle is closed
arrow is to the right
(4th number line)

"seven subtracted from 4 times a number (x) is more than 13"
4x-7>13
+7 both sides
4x>20
÷4 both sides
x>5
circle is open
arrow is to the right
(2nd number line)

"four added to 3 times a number (x) is less than 19"
3x+4 <19
-4 both sides
3x <15
÷3 both sides
x <5
circle is open
arrow is to the right
(3rd number line)

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right-angled triangle, and law of sine (for any type of triangles) :

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where the sides and the correlated angles are always opposite from each other.

and we know that the sum of all angles in a triangle is always 180°.

so, the angle at the foot of the radio tower is 90°.

the angle from the top of the shadow to the top of the tower is 78.5°.

so, the third angle (at the top of the tower) is

180 - 90 - 78.5 = 11.5°

and with the law of sine we get

height/sin(78.5) = 64/sin(11.5)

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