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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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You and your friend drive toward each other. The equation 50h = 190 – 45h represents the number h of hours until you and your fr
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C. 2 hours

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Divide 80 into two parts such that greater part is 4 times the smaller.
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Step-by-step explanation:

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3 years ago
What is the solution of the system x − 3y = –13 and 5x + 7y = 34? A. `x = (6)/(5)`, y = 4 B. `x = (7)/(2), y = (9)/(2)` C. `x =
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For this case we have the following system of equations:

x-3y = -13\\5x + 7y = 34

From the first equation we clear "x":

x = -13 + 3y

We substitute in the second equation:

5 (-13 + 3y) + 7y = 34

We apply distributive property:

-65 + 15y + 7y = 34

We add similar terms:

-65 + 22y = 34

We add 65 to both sides:

22y = 34 + 65\\22y = 99

We divide between 22 on both sides:

y = \frac {99} {22}\\y = \frac {9} {2}

We look for the value of the variable "x":

x = -13 + 3 \frac {9} {2}\\x = -13 + \frac {27} {2}\\x = \frac {-26 + 27} {2}\\x = \frac {1} {2}

Thus, the solution of the system is:

(x, y): (\frac {1} {2}, \frac {9} {2})

ANswer:

(x, y): (\frac {1} {2}, \frac {9} {2})

5 0
3 years ago
Read 2 more answers
2,8,9,7,6,x;the mean is 6
ANTONII [103]
X equals 4
2+8+9+7+6
=32
6*6
=36
36-32
=4
5 0
3 years ago
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