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Andreas93 [3]
3 years ago
12

A blueprint of a building has a scale of 3/4 inch = 10 feet. The actual height of the building is 48 feet. Determine the height

of the barn on the blueprint.
Mathematics
2 answers:
lara31 [8.8K]3 years ago
8 0

Step-by-step explanation:

3/4" on the blueprint correlates to 10' in reality.

the building (or barn) is 48' high.

so, what is the factor of this compared to the normed 10' ?

10×f = 48

f = 48/10 = 4.8

alright !

now ask we need to do is: apply this factor now to the blueprint scale :

3/4 × 4.8 = 3/4 × 4 8/10 = 3/4 × 4 4/5 = 3/4 × 24/5 =

= 3×24 / 4×5 = 72/20 = 18/5 =3 3/5"

the building/barn is therefore 3 3/5" tall on the blueprint.

koban [17]3 years ago
5 0

Answer:

3.6 inches

Step-by-step explanation:

→ Divide 48 by 10

48 ÷ 10 = 4.8

→ Multiply by 3/4

3/4 × 4.8 = 3.6 inches

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KengaRu [80]

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Step-by-step explanation:

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3 years ago
Write a linear equation based on given information. Through (5,-5) and (4,0)
Katena32 [7]

For this case we have that by definition, the equation of the line of the slope-intersection form is given by:

y = mx + b

Where:

m: It is the slope of the line

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We have the following points:

(x_ {1}, y_ {1}) :( 5, -5)\\(x_ {2}, y_ {2}) :( 4,0)

We find the slope:

m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {0 - (- 5)} {4-5} = \frac {5} {- 1} = - 5

Thus, the equation is of the form:

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We substitute a point and find b:

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Finally, the equation is:

y = -5x + 20

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y = -5x + 20

6 0
3 years ago
In this diagram, ABAC – AEDF. If the<br> area of ABAC = 6 in?, what is the<br> area of AEDF?
shepuryov [24]

Answer:

2.7 in²

Step-by-step explanation:

similar triangles have the same angles, and all side lengths (or other distances) of one triangle have the same scaling factor to the side lengths of the other triangle.

so, we know the relation between the 2 baselines is 2/3, as this is the factor to turn the baseline of the large triangle into the baseline of the smaller triangle.

in other words

EF = BC × 2/3

2 = 3 × 2/3

correct

how do we calculate the area of a triangle ?

Area = baseline × height / 2

from BAC we know

Area = 6

baseline = 3

height = ?

6 = 3 × height / 2

12 = 3 × height

height = 4

aha !

now, EDF has a height too that we need to calculate is Area. and this height has the same scaling factor compared to the larger triangle as the side lengths : 2/3

so, for EDF we know

Area = ?

baseline = 2

height = 4 × 2/3 = 8/3

therefore, the area is

Area = (2 × 8/3) / 2 = (16/3) / 2 = 8/3 = 2.66666... ≈ 2.7

the shirt answer would be :

we know from the 2 baselines that the scaling factor for each distance is 2/3.

for the area we need to multiply 2 distances, so that means we have to multiply both by 2/3. and so on the formula for the area we have to use 2/3 × 2/3.

2/3 × 2/3 = 4/9

=>

Area small = Area large × 4/9 = 6 × 4/9 = 24/9 = 8/3 ≈ 2.7

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