2 years ago

Solve this inequality:-1/2x-3<-2.5

Mathematics

1 answer:

balandron [24]2 years ago

4 0

Answer:

X<1

Step-by-step explanation:

1/2X-3<-2.5

1/2X<-2.5+3

1/2X<0.5

2/1×1/2X<0.5×2/1

X<1

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0.75x+3=(6)(x)+(6)(−3)

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3 years ago

A plane is descending onto the runway with an angle of depression of 55°. If it has 2.8 miles to go before landing (hypotenuse),

nalin [4]

Answer:

Option C is correct

Step-by-step explanation:

Given: A plane is descending onto the runway with an angle of depression of 55°. Also, it has 2.8 miles to go before landing.

To find: current altitude of the plane

Solution:

Consider the attached image.

In ΔABC,

$\angle ACB=55^{\circ}$ (Alternate interior angles)

For any angle $\theta$ ,

$tan \theta$ = side opposite to angle/side adjacent to angle

$\tan C=\frac{AB}{BC}$

Put $\angle C=55^{\circ}\,,\,BC=2.8\,\,miles$

$AB=2.8\,\tan 55^{\circ}=3.999\approx 4\,\,miles$

So, the current altitude of the plane is 4 miles.

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