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BaLLatris [955]
2 years ago
13

Find the missing dimension use the scale factor 1:12 model 32 cm find the actual in m

Mathematics
1 answer:
gizmo_the_mogwai [7]2 years ago
6 0

Given:

The scale factor is 1:12.

Dimension of model = 32 cm

To find:

The actual dimension in m.

Solution:

Let x be the actual dimension.

The scale factor is 1:12 and the dimension of model is 32 cm.

\dfrac{1}{12}=\dfrac{32}{x}

On cross multiplication, we get

x=32\times 12

x=384\ cm

x=3.84\ m             [\because 1\ m=100\ cm]

Therefore, the actual dimension is 3.84 m.

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Choose the abbreviation of the postulate or theorem that supports the conclusion that WAS NOT. Given: WS = NT, AS = OT, S = T.
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Answer: The abbreviation that supports the conclusion is SAS


Step-by-step explanation:

Given WS=NT

AS=OT

S=T

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and an angle(S=T) equal

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Write the equation of the line perpendicular to y=5/6x+2/3 that passes through the point (-3,5)
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y=-6/5x+7/5

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Read 2 more answers
The top of the Boulder Dam has an angle of elevation of 1.2 radians from a point on the Colorado River. Measuring the angle of e
Nana76 [90]

Answer:

382.925 feets

Step-by-step explanation:

The solution diagram is attached below :

Converting radian measurement to degree :

radian angle * 180/π = degree angle

1.2 * 180/π = 68.755°

0.9 * 180/π = 51.566°

Height of dam is h:

Using trigonometry :

Tan θ = opposite / Adjacent

Tan 68.755° = h / x

h = x Tan 68.755° - - - (1)

Tan 51.566° = h / (155+x)

h = (155+x) tan 51.566° - - - (2)

Equate (1) and (2)

x Tan 68.755 = (155+x) Tan 51.566

x Tan 68.755 = 155tan 51.566 + x tan 51.566

x Tan 68.755 = 195.32311 + x Tan 51.566

x Tan 68.755 - x Tan 51.566 = 195.32311

x(tan 68.755 - tan 51.566) = 195.32311

x * 1.3120110 = 195.32311

1.3120110x = 195.32311

x = 195.32311 / 1.3120110

x = 148.87307

Using :

h = x Tan 68.755

h = 148.87307 * tan(68.755)

h = 382.92539

h = 382.925 feets

5 0
3 years ago
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