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3 years ago

Which of the lines below has a negative slope?

Mathematics

1 answer:

aleksandrvk [35]3 years ago

6 0

Well, negative slope has the word negative in it right? So, it will be the negative number. Answer: -5 (negative 5)

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When the sun has risen 32 degrees above the horizon, Sandy casts a shadow that is 9 feet 2 inches long. How tall is Sandy, to th

Makovka662 [10]

Answer:

The height of Sandy is 68.74 inches.

Step-by-step explanation:

It is given that the sun has risen 32 degrees above the horizon. It means the angle of elevation is 32°.

Let the height of Sandy be x.

Sandy casts a shadow that is 9 feet 2 inches long.

We know that 1 feet = 12 inches

Using this conversion, we get

Shadow = 9 feet 2 inches = 9(12)+2 = 110 inches

In a right angled triangle,

$\tan\theta =\frac{perpendicular}{base}$

In triangle ABC,

$\tan(\angle C)=\frac{AB}{BC}$

$\tan(32^{\circ})=\frac{x}{110}$

Multiply both sides by 110.

$110\tan(32^{\circ})=x$

$68.73562871=x$

$x\approx 68.74$

Therefore the height of Sandy is 68.74 inches.

8 0

3 years ago

I need help, do I have these pink dots in the right place?

irakobra [83]

Answer:

no, you actually don't.

Step-by-step explanation:

remember: x is how many to the left, and y is how many to the top.

reposition the dots and I will see if it is right the 2nd time.

hope this helped!

6 0

3 years ago

Read 2 more answers

For the years from 2002 and projected to 2024, the national health care expenditures H, in billions of dollars, can be modeled b

dmitriy555 [2]

Answer:

2019.

Step-by-step explanation:

We have been given that for the years from 2002 and projected to 2024, the national health care expenditures H, in billions of dollars, can be modeled by $H = 1,500e^{0.053t}$ where t is the number of years past 2000.

To find the year in which national health care expenditures expected to reach $4.0 trillion (that is, $4,000 billion), we will substitute $H=4,000$ in our given formula and solve for t as: