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ValentinkaMS [17]
3 years ago
6

A 6​-ft vertical post casts a ​16-in shadow at the same time a nearby cell phone tower casts a ​124-ft shadow. How tall is the c

ell phone​ tower?
Mathematics
1 answer:
Anna007 [38]3 years ago
5 0

Answer:

558.01 ft

Step-by-step explanation:

To obtain the height of cell tower :

Height of post / shadow of post = height of tower / shadow of tower

Shadow of post = 16 in = 1.333333 ft

6/ 1.3333 = height of tower / 124

6 * 124 = 1. 3333 * height of tower

744 = 1.3333 * height of tower

Height of tower = 744 / 1.3333

Height of tower = 558.01

Height of tower = 558.01 ft

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A train leaves at 1314 and arrives at 1508. It travelled at an average speed of 105 km/h.
Paraphin [41]

Answer: The train traveled 199.5 km

Step-by-step explanation:

We know the relationship:

Distance = Time*Speed

We know that the speed of the train was 105km/h

And we know that it leaves at 13:14, and arrives at 15:08.

Then the total amount of time that the train was traveling is:

T = (15 hours and 8 mins) - (13 hours and 14 mins)

= (15 - 13) hours and (8 - 14) mins

=  2 hours and (-6) mins.

We know that one hour has 60 minutes, then this is equal to:

T = 1 hour and 54 minutes.

But because the speed is kilometers per hour, we need to rewrite the 54 minutes in hours.

This can be done as follows:

1 hour = 60 minutes.

Then: 54 minutes = (54/60) hours = 0.9 hours.

Then:

1 hour and 54 minutes = 1.9 hours.

Now we know the speed and the time, then the distance can be calculated as:

Distance = speed*time = 105km/h*(1.9 h) = 199.5 km

The train traveled 199.5 km

3 0
3 years ago
Read 2 more answers
51. (08.02 MC) Box A has a volume of 48 cubic meters. Box B is similar to box A. To create Box B, Box A's dimensions were double
Vanyuwa [196]

Answer:

384 m³

Step-by-step explanation:

Let the dimension of box a be l,b, and h.

ATQ,

lbh = 48 .....(1)

If we double the dimension of box A, we get box B whose new dimensions will be 2l,2b and 2h.

Let V be the volume of box B.

V = (2l)(2b)(2h)

V = 8(lbh)

= 8(48) [from equation (1)]

= 384 m³

Hence, the volume of the box B is 384 m³.

7 0
3 years ago
The cross-sectional areas of a triangular prism and a right cylinder are congruent. The triangular prism has a height of 5 units
nydimaria [60]

Answer:

  The volume of the prism is equal to the volume of the cylinder

Step-by-step explanation:

For each solid figure, the volume formula is ...

  V = Bh

where B is the cross-sectional area and h is the height. The problem statement tells us B and h have the same values for both figures. Hence their volumes are the same.

5 0
3 years ago
Just need to know the answer thanks
enyata [817]
A) x=3   x=2
b) x=-8   x=-2

6 0
3 years ago
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17 + (9 + 10) = (17 + 9) + 10<br> A. True<br> O B. False
JulijaS [17]

Answer: Did you mean to rewrite that

Step-by-step explanation:

3 0
2 years ago
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