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Zinaida [17]
3 years ago
13

The graph shows the altitude of a helicopter over time. A graph measuring altitude and time. A line runs through coordinates (0,

10,000) and (15, 4000) and shows a decrease in altitude as time increases What is the slope of the line and what does it mean in this situation? The slope is –2000 . This means that the helicopter descends 2000 ft each minute. The slope is –400 . This means that the helicopter descends 400 ft each minute. The slope is 400. This means that the helicopter ascends 400 ft each minute. The slope is 2000. This means that the helicopter ascends 2000 ft each minute. 1 2 3 4 5
Mathematics
1 answer:
TiliK225 [7]3 years ago
4 0

We can calculate for the slope of the line using the formula:

m = (y2 – y1) / (x2 – x1)

 

From the given values:

m = (4,000 – 10,000) ft / (15 – 0) min

m = -400 ft/min

This means that the altitude is decreasing by 400 ft per minute.

 

 

> The slope is –400 . This means that the helicopter descends 400 ft each minute.

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Travka [436]
The max occurs when length=width

so
perimiter=16
and L=W
P=2(L+W)
16=2(L+L)
16=2(2L)
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the dimentions are length and width are 4 meters
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6 0
3 years ago
because an item is slightly dameged, a stock clerk reduced the price by $6. this represents 15% reduction.what was the original
Paul [167]

Answer:

$40

Step-by-step explanation:

6 = .15x

6 / .15 = 40

8 0
3 years ago
Chelsea bought a computer on Monday for $1,300. Its value is predicted to decrease by $250 per year. Her brother George also bou
Elenna [48]

Answer:

The correct answer is B. George’s computer is expected to have a value of $25 greater.

Step-by-step explanation:

Since Chelsea bought a computer on Monday for $ 1,300, and its value is predicted to decrease by $ 250 per year, while her brother George also bought a computer on Monday, and the function g (x) = 1,100 - 175x predicts how the value of his computer is expected to change after x years, to determine whose computer is expected to have a greater value when it is 3 years old, and how much greater will it be, the following calculation must be performed:

Chelsea:

1,300 - (250 x 3) = X

1,300 - 750 = X

550 = X

George:

1,100 - (175 x 3) = X

1,100 - 525 = X

575 = X

Therefore, George’s computer is expected to have a value of $ 25 greater.

7 0
3 years ago
Given: KL ║ NM , LM = 45, m∠M = 50° KN ⊥ NM , NL ⊥ LM Find: KN and KL
Mice21 [21]

Answer:

KL=45\tan 50^{\circ}\sin 50^{\circ}\approx 41.08\\ \\KN=45\sin 50^{\circ}\approx 34.47

Step-by-step explanation:

Given:

KL ║ NM ,

LM = 45

m∠M = 50°

KN ⊥ NM  

NL ⊥ LM

Find: KN and KL

1. Consider triangle NLM. This is a right triangle, because NL ⊥ LM. In this triangle,

LM = 45

m∠M = 50°

So,

\tan \angle M=\dfrac{\text{opposite leg}}{\text{adjacent leg}}=\dfrac{NL}{LM}=\dfrac{NL}{45}\\ \\NL=45\tan 50^{\circ}

Also

m\angle LNM=90^{\circ}-50^{\circ}=40^{\circ} (angles LNM and M are complementary).

2. Consider triangle NKL. This is a right triangle, because KN ⊥ NM . In this triangle,

NL=45\tan 50^{\circ}

m\angle KLN=m\angle LNM=40^{\circ} (alternate interior angles)

m\angle KNL=90^{\circ}-40^{\circ}=50^{\circ} (angles KNL and KLN are complementary).

So,

\sin \angle KNL=\dfrac{\text{opposite leg}}{\text{hypotenuse}}=\dfrac{KL}{LN}=\dfrac{KL}{45\tan 50^{\circ}}\\ \\KL=45\tan 50^{\circ}\sin 50^{\circ}\approx 41.08

and

\cos \angle KNL=\dfrac{\text{adjacent leg}}{\text{hypotenuse}}=\dfrac{KN}{LN}=\dfrac{KN}{45\tan 50^{\circ}}\\ \\KN=45\tan 50^{\circ}\cos 50^{\circ}=45\sin 50^{\circ}\approx 34.47

3 0
3 years ago
Read 2 more answers
Simplify the following expressions.<br> (x^-8/y^11)^-2<br><br> Please
kobusy [5.1K]

Answer:

y ^22  x ^16

hope this helps

3 0
4 years ago
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