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o-na [289]
3 years ago
13

In sunlight, a vertical stick has a height of 4 ft and casts a shadow 2 ft long at the same time that a nearby tree casts a shad

ow 18 ft long. How tall is the tree?
9 ft

4 ft

0.4 ft

36 ft
Mathematics
1 answer:
marshall27 [118]3 years ago
6 0
Remark
Make up a proportion that relates the tree and its properties to the stick and its properties.

Givens
Stick height (s_h) = 4
Stick shadow(s_s) = 2
Tree shadow = t_s = 18
Tree height = x

Formula
s_h / s_s = x / t_s

Substitute and solve.
4/2 = x / 18  Cross multiply
4*18 = 2 * x
72 = 2x        Divide by 2
72/2 = x       
x = 36

The height of the tree is 36 feet.     
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Between which two consecutive whole numbers does the root of 59 lie​
IrinaK [193]

Answer:

Step-by-step explanation:

¿Entre que números naturales consecutivos se encuentra cada raíz?

Bueno en este caso debes empezar por el 1 en adelante, pero solo sucede en números impares consecutivos. Solamente debes sumar 1,3,5,7,9,11,13,15,17,19 ..... en adelante, y en cada suma de cada sucesión encontraras un cuadrado. Ojo solo sumando en orden, tampoco sumarás 3+9, ya que te dará 12 y 12 No tiene raíz.

1+3=4,√4=2

4+5=9, √9=3

9+7=16, √16=4

16+9=25, √25=5

25+11=36, √36=6

36+13=49, √49=7

49+15=64, √64=8

64+17=81, √81=9

81+19=100, √100=10

............................................................................................................

A SI CONSECUTIVAMENTE SIEMPRE OBTENDRÁS CADA RAÍZ  

¿Entre que números naturales consecutivos se encuentra cada raíz?

R= En los número impares consecutivos, comenzando por el 1 en adelante.

8 0
3 years ago
You purchased $132.49 worth of wheels and bearings for your skateboards. The ship charges $15 per skateboard to install them the
Leviafan [203]
4!
192.49-132.49=60

60/15=4
8 0
4 years ago
The perimeter of a rectangle is 324 feet. the ration of the width to the length is 1:2. find the length and width of the rectang
hjlf
If the ratio of the width to the length is 1 : 2 then, we can represent their respective lengths using x and 2x.

Width = x
Length = 2x

2(x) + 2(2x) = 324
2x + 4x = 324
6x = 324
x = 54
2x = 108

The width is 54 ft. and the length is 108 feet. Hope this helps!
8 0
3 years ago
2 + x = 19<br> what does x equal
murzikaleks [220]

Answer:

x = 17

Step-by-step explanation:

2 + x = 19

Subtract 2 on both sides to isolate the variable

2 - 2 + x = 19 - 2

x = 17

Check

We can check by distributing the "x" with 17 since thats what we got as the value.

2 + x = 19

2 + 17 = 19

19 = 19

CORRECT

Hope this helped!

Have a supercalifragilistix = 17cexpialidocious day!

3 0
3 years ago
Read 2 more answers
What is ...............?
scoundrel [369]
B. is the right option... hope it helps
.

4 0
3 years ago
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