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ivanzaharov [21]
3 years ago
13

The graph shows the altitude, a, of a plane, in feet, after t minutes. What is the rate of ascent of the airplane?

Mathematics
1 answer:
alexira [117]3 years ago
4 0

The rate of ascent is also known as the slope. To find the slope, we will follow the steps below.

Step 1) Choose two points on the line

Point 1: (4, 500)

Point 2: (8, 1000)

Step 2) Use the slope formula to find the slope

m = (y2 - y1) / (x2 - x1)

m = (1000 - 500) / (8 - 4)

m = 500 / 4

m = 125 feet per minute

Hope this helps! :)

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A fruit stand has to decide what to charge for their produce. They need $5.30 for 1 apple and 1 orange. They also need $7.30 for
Aneli [31]

Answer:

A fruit stand has to decide what to charge for their produce.

They need $ 5.30 for 1 apple and 1 orange.

They also need $ 7.30 for 1 apple and 2 oranges.

TO DETERMINE

To put this information into a system of linear equations.

TO find a unique price for an apple and an orange

EVALUATION

Let the price of an apple = x and price of an orange = y

So From the first condition that they need $ 5.30 for 1 apple and 1 orange we get

\sf{x + y = 5.30}x+y=5.30 - - - - Equation 1

Again from second condition that they need $ 7.30 for 1 apple and 2 oranges we get

\sf{x + 2y = 7.30}x+2y=7.30 - - - - Equation 2

So the required Set of linear equations are

x + y = 5.30

x + 2y = 7.30

Equation (2) - Equation (1) we get

y = 2

From Equation (1) we get

x = 5.30 - 2 = 3.30

Hence price of an apple = $ 3.30

The price of an orange = $ 2

7 0
2 years ago
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Triangle P Q R is shown. Angle Q R P is a right angle. Angle R P Q is 30 degrees and angle P Q R is 60 degrees. Given right tria
mote1985 [20]

Answer:

The correct option is option (c).

Sin \ P= \frac {RQ}{PQ}

Step-by-step explanation:

Right angled triangle:

  • One angle must be 90° and other two angles are acute angle.
  • The hypotenuses is the longest side of the triangle and opposite right angle.
  • It follows the Pythagorean Theorem.

Given that,

∠QRP= 90°, ∠RPQ= 30°, ∠PQR = 60°

we know that,

sin \theta =\frac{Opposite }{Hypotenuse}

for sin P , the opposite is QR.

The hypotenuse is PQ.

Therefore,

Sin \ P= \frac {RQ}{PQ}

5 0
3 years ago
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2(15+3m)-7<br><br> Plz explain and answer
Alekssandra [29.7K]
6m+23

You have to use distributive property, so 15x2=30 and 2x3m= 6m. You then subtract 30 from 7 and get 23. 


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3 years ago
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Goran made 6 identical necklaces, each having beads and a pendant. The total cost of the beads and pendants for all 6 necklaces
Tema [17]
    6b + 6p = 33.60              ; b=2.90

6(2.90) + 6p = 33.60

17.40 + 6p = 33.60
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    6p = 16.20
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      p = 2.70

ANSWER: each pendant costs $2.70
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3 years ago
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