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anzhelika [568]
3 years ago
12

A weather station on the top of a mountain reports that the temperature is currently 0°C and has been falling at a constant rate

of 3°C per hour. What was the temperature 4.5 hours ago ?
Mathematics
1 answer:
schepotkina [342]3 years ago
3 0

Answer:

10.5 degrees Celsius

Step-by-step explanation:

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Tickets to a concert cost $24 before a 5% fee is added.How much are the tickets with the fee?
vagabundo [1.1K]

Answer:

$25.20

Step-by-step explanation:

10%= 2.4 because you divide 24 by 10

So 5%= half 2.4= 1.2

24+1.2=25.20

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A 12 ft ladder is leaning against a building. The ladder makes a 45 degree angle with the building how far up is the building do
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The ladder reach a height 8.485 ft.

Step-by-step explanation:

The ladder with the building made right angle triangle

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The height of the ladder reach is the vertical side of the Δ

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The shipping fee is 3.5% of the cost of the items. If the shipping fee is $15.00, the cost of the items is:
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A right pyramid with a regular hexagon base has a height of 3 units If a side of the hexagon is 6 units long, then the apothem i
Setler79 [48]

Answer:

Part a) The slant height is 3\sqrt{2}\ units

Part b) The lateral area is equal to 54\sqrt{2}\ units^{2}

Step-by-step explanation:

we know that

The lateral area of a right pyramid with a regular hexagon base is equal to the area of its six triangular faces

so

LA=6[\frac{1}{2}(b)(l)]

where

b is the length side of the hexagon

l is the slant height of the pyramid

Part a) Find the slant height l

Applying the Pythagoras Theorem

l^{2}=h^{2} +a^{2}

where

h is the height of the pyramid

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we have

h=3\ units

a=3\ units

substitute

l^{2}=3^{2} +3^{2}

l^{2}=18

l=3\sqrt{2}\ units

Part b) Find the lateral area

LA=6[\frac{1}{2}(b)(l)]

we have

b=6\ units

l=3\sqrt{2}\ units

substitute the values

LA=6[\frac{1}{2}(6)(3\sqrt{2})]=54\sqrt{2}\ units^{2}

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3 years ago
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