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Inga [223]
3 years ago
11

On a hike, Parker noticed that the temperature at the base of a mountain was 64°F. At a point on the mountain that was 2,000 fee

t above the base, the temperature was 58°F.
What is the average rate of change of temperature in °F/ft?
Mathematics
1 answer:
MArishka [77]3 years ago
7 0

Answer:

Step-by-step explanation:

Rate of change of Temperature with height can be given by:

\frac{dT}{dh} = \frac{T_{top} - T_{bottom}}{h_{top} - h_{bottom} }

\frac{dT}{dh} = \frac{58 - 64}{2000} = -0.003 Fahrenheit/ft

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Pavel [41]
5^2 + 12^2 = c^2
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3 0
3 years ago
A basketball court is 94 feet by 50 feet. Eight fans ca
IgorC [24]

Answer:

The entire floor can contain approximately 4178 fans

Step-by-step explanation:

The first step is to calculate the area of the basketball floor.

we can do this by multiplying the length by the breadth as such 94 X 50 = 4700 square feet.

The second step is to calculate the area occupied by 8 of the fans. We can do this by multiplying 3 ft by 3ft = 9 square feet.

From this, it will be easier to estimate the area occupied by only one fan. This can be got by dividing 9 square feet by 8.  

This is = 1.125 square feet.

To get the number of students it can occupy, we divide the total area of the court by the area occupied by one student.

4700/ 1.125 =4177.8 \approx 4178 fans

4 0
3 years ago
Please helppppp meeeeeee!!!!!!!!!!!!!!!!!!!!
LenKa [72]

Answer:

The option is C i.e 115°, 65°. proof is given below.

Step-by-step explanation:

Given:

ABCD is a quadrilateral.

m∠ A = 100 + 5x

m∠ B = 77 - 4y

m∠ C = 106 + 3x

m∠ D = 47 + 6y

To Prove:

ABCD is a parallelogram if opposing angles are congruent by finding the measures of angles.

m∠ A = m∠ C and

m∠ B = m∠ D

Proof:

ABCD is a quadrilateral and is a parallelogram if opposing angles are congruent.

∴ m∠ A = m∠ C

On substituting the given values we get

∴  100 + 5x  = 106 +3x

∴ 5x-3x=106-100\\\\2x=6\\\\x =\frac{6}{2} \\\\x=3

m∠ A = 100 + 5x = 100 + 5 × 3 =100 + 15 = 115°

m∠ C = 106 + 3x = 106 + 3 ×3 =106 + 9 = 115°

∴  m∠ A = m∠ C = 115°

Similarly,

∴ m∠ B = m∠ D

77 - 4y = 47 + 6y

10y = 77 - 47

10y =30

∴y=\frac{30}{10} \\y = 3\\

m∠ B = 77 - 4y =77 - 4 × 3 = 77 - 12 = 65°

m∠ D = 47 + 6y = 47 + 6 × 3 = 47 + 18 = 65°

∴ m∠ B = m∠ D = 65°

Therefore the option is C i.e 115°, 65°

5 0
3 years ago
A number minus 6 is few then 8
Alexandra [31]
7 I think is you answer
7 0
3 years ago
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Amber has a $100 Gift Card to her favorite Coffee Shop. Each time she visits the Coffee Shop, she will use the gift card to purc
AlladinOne [14]

Complete question is;

Amber has a $100 Gift Card to her favorite Coffee Shop. Each time she visits the Coffee Shop, she will use the gift card to purchase a $5.00 daily coffee.

What is the maximum number of daily coffee she can buy with the gift card?

Answer:

20 daily coffee

Step-by-step explanation:

We are told that she has a $100 Gift Card to her favorite Coffee Shop.

Also that she will use the gift card to purchase a $5.00 daily coffee.

Thus means that she spends $5.00 daily from the gift card.

Thus; to find maximum number of daily coffee will be;

Max daily coffee = Total gift card/daily gift card = 100/5 = 20

5 0
2 years ago
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