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umka21 [38]
3 years ago
7

A pole that is 2.8 m tall casts a shadow that is 1.21 m long. At the same time, a nearby tower casts a shadow that is 48.75 m lo

ng. How tall is the tower? Round
Mathematics
1 answer:
DanielleElmas [232]3 years ago
8 0

Answer:

112.81 m.

Step-by-step explanation:

The pole and the tower and their shadows form 2 similar triangles so their corresponding sides are in the smae ratio.

Therefore we have the relation:

1.21 / 48.75 = 2.8 / x   where x is the height of the tower.

Cross multiplying:

x = 2.8 * 48.75 / 1.21

= 112.81 m

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6 0
3 years ago
Read 2 more answers
1 A can in the shape of a cylinder has a diameter of 6 centimeters and a height of 10
Ronch [10]

Answer:

radius r = 3 cm

height h = 10 cm

volume V = 282.743339 cm^3

lateral surface area L = 188.495559 cm^2

top surface area T = 28.2743339 cm^2

base surface area B = 28.2743339 cm^2

total surface area A = 245.044227 cm^2

In Terms of Pi π

volume V = 90 π cm3

lateral surface area L = 60 π cm^2

top surface area T = 9 π cm^2

base surface area B = 9 π cm^2

total surface area A = 78 π cm^2

Step-by-step explanation:

Cylinder Formulas in terms of r and h:

Calculate volume of a cylinder:

V = πr2h

Calculate the lateral surface area of a cylinder (just the curved outside)**:

L = 2πrh

Calculate the top and bottom surface area of a cylinder (2 circles):

T = B = πr2

Total surface area of a closed cylinder is:

A = L + T + B = 2πrh + 2(πr2) = 2πr(h+r)

Agenda: r = radius

h = height

V = volume

L = lateral surface area

T = top surface area

B = base surface area

A = total surface area

π = pi = 3.1415926535898

√ = square root

8 0
3 years ago
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Factor-
Nastasia [14]

Hello from MrBillDoesMath!

Answer:

See Discussion section below

Discussion:

2x^2 + 5x + 3  = (2x+3)(x+1) which is Choice 3


3x^2+10x+4  =-1/3 (-3 x + sqrt(13) - 5) (3 x + sqrt(13) + 5)

I don't think any of the provided choices are right!


8x^2+10x-3 = (2x+3)(4x-1) which is Choice 2


6x^2-7x-4 = -1/24 (-12 x + sqrt(145) + 7) (12 x + sqrt(145) - 7)

I don't think any of the provided choices are right!


2x^2+x-28  =  (2x-7)(x+4) which is Choice 2


Thank you,

MrB

4 0
3 years ago
What is the remainder when 2x^3−9x^2+11 is divided by x−6?
zheka24 [161]

Answer:

119

Step-by-step explanation:

Given f(x) divided by (x - h) then the value of f(h) is the remainder, thus

f(6) = 2(6)³ - 9(6)² + 11

     = 2(216) - 9(36) + 11

     = 432 - 324 + 11

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8 0
2 years ago
2+2x=45<br><br> Solve for x<br><br> 10 pts
Volgvan

2+2x=45

-2

0+2x = 43

2x = 43

-2

0+x=41

X=41

3 0
3 years ago
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