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3 years ago

On a coordinate grid, point A is located in the first quadrant. Point B is located at (2, - 1/2

Mathematics

1 answer:

Nookie1986 [14]3 years ago

8 0

Answer:

It's where point B is at (2,0.5)

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Janice has car insurance that she must pay four times a year. If each payment is $156, how much money should she set aside each

charle [14.2K]

Answer: 39

Step-by-step explanation:

156/4

4 payments

Total 156

So divide that and you will get 39

5 0

3 years ago

Picking a multiple of 5 from the integers between 1 and 40

Scilla [17]

Multiples of 5 end in 5 or 0 this would mean
5,10,15,20,25,30,35,40 are all multiples of 5

3 0

3 years ago

A hot air balloon is flying at an altitude of 800 feet. A passenger takes a picture of the top of a tree and estimates that the

nalin [4]

The height of the tree given the depression angle to the top and the base

is given by the tangent relationship of the two given angles.

Correct response:

The height of the tree is approximately <u>79.58 feet</u>

<h3 /><h3>Methods used for the calculation of the height of the tree</h3>

Given:

Altitude of the hot air balloon = 800 feet

Angle of depression to top of tree = 43°

Angle of depression to base of tree = 46°

Required:

Height of tree

Solution:

The horizontal distance of the balloon from the tree is given as follows;

$\displaystyle tan(46^{\circ}) = \frac{Altitude \ of \ balloon}{Horizontal \ distance \ from \ tree} = \mathbf{\frac{800 \, feet}{Horizontal \ distance \ from \ tree}}$

Therefore;

$\displaystyle Horizontal \ distance \ of \ balloon \ from \ tree = \frac{800 \ feet}{tan(46^{\circ})}$

$\displaystyle tan(43^{\circ}) = \mathbf{\frac{Height \ of \ balloon \ above \ tree}{\dfrac{800 \, feet}{tan(46^{\circ})} }}$

Therefore;

$\displaystyle Height \ of \ balloon \ above \ tree = tan(43^{\circ}) \times \frac{800 \, feet}{tan(46^{\circ})}$

Height of tree = Altitude of balloon - Height of balloon above tree

Therefore;

$\displaystyle Height \ of \ tree = 800 \, feet - tan(43^{\circ}) \times \frac{800 \, feet}{tan(46^{\circ})} \approx \underline{ 79.58 \, feet}$

Learn more about angle of elevation and depression here:

brainly.com/question/1978238

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2 years ago

Which situation can be modeled by an exponential growth function?

Whitepunk [10]

Answer:

I think the answer would be B) a concert allows 100 people to enter every 20 minutes

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3 years ago

The table below shows the cost of downloading songs from a website. Number of Songs Total Cost 8 $2.08 10 $2.60 14 $3.64 What is

algol13

Answer:

.26 per song

Step-by-step explanation:

8 0

3 years ago