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Lena [83]
3 years ago
5

30 meter building casts a shadow the distance from the top of the building to the tip of the shadow is 37 M find the length of t

he shadow
Mathematics
1 answer:
Pavlova-9 [17]3 years ago
3 0

Answer:  22 meters

<u>Step-by-step explanation:</u>

Draw a picture of a right triangle and label the height as 30 meters and the hypotenuse as 37 meters.  Use the Pythagorean Theorem to find the base (the length of the shadow).

a² + b² = c²

x² + 30² = 37²

x²          = 37² - 30²

x²          = 1369 - 900

x²          = 469

√x²       = √469

        x = 21.656

        x ≈ 22

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forsale [732]

The volume of titanium is 20.86 cubic inches

<em><u>Solution:</u></em>

The volume is given by formula:

volume = \frac{mass}{density}

From given,

Density of titanium = 4.51 g/cm^3

Mass = 3.4 lb

Let us convert the mass to grams

1 pound = 453.592 grams

Therefore, 3.4 pound is equal to:

3.4 \text{ pound } = 3.4 \times 453.592 \text{ grams }\\\\3.4 \text{ pound } = 1542.2128\text{ grams }

Now substitute the values into formula:

volume = \frac{1542.2128}{4.51}\\\\volume = 341.95 cm^3

Let us convert cubic centimeter to cubic inches

1 cubic centimeter = 0.0610237 cubic inches

Therefore,

341.95\ cm^3 =  0.0610237 \times 341.95\ in^3 = 20.86\ in^3

Thus volume of titanium is 20.86 cubic inches

6 0
3 years ago
PLS HELP ASAP I AM TIMED DON TGUESS EXPLAIN ANSWER
Scrat [10]
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3 0
3 years ago
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It takes 2/3 of an hour to paint 2/5 of a room. How long does it take to paint 2/5 of a room?
Lubov Fominskaja [6]

It will take 40 minutes.

To solve, divide 60 by 3. 60 is how many minutes there are in a minute. 3 is how long it takes to paint 2/5 of the room. We do not need to use the number 2/5 in this situation. Now back to 60 divided by 3. The answer is 20 minutes. Now multiply 20 by 2 to get 2/3 of an hour. Therefore, it takes 40 minutes to paint 2/5 of a room.

8 0
3 years ago
To convert a capacity of 8.7 gallons to quarts, which ratio could you multiply by? remember that 1 gallon = 4 quarts.
Papessa [141]
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3 0
3 years ago
Let f ( x ) = 2 x − 1 , g ( x ) = 3 x , and h ( x ) = x ^2 + 1 , what is h( h ( 5) ) ?
strojnjashka [21]
First you would solve for h(5) by plugging in 5 as your x, then solving it.

h(5) = 5^2 + 1
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Next you would multiply the 26 by the individual h, which is basically h(1).

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Lastly you multiply your h(1) value by the h(5) value to get your answer.

h(1) • h(5) = 26 • 2
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