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inna [77]
3 years ago
5

The scale on the architectural plans for a new house is 1 in. equals 4 ft. Find the length and width (in ft) of a room that meas

ures 6 in. by 9 in. on the drawing. (For each answer, enter a number as an exact integer or decimal.)
Mathematics
1 answer:
Oksi-84 [34.3K]3 years ago
8 0

Answer: the actual length and width of the room is 24ft by 36ft

Step-by-step explanation:

The scale on the architectural plans for a new house is 1 in. equals 4 ft. This means that every 1 inch on the on the architectural plan represents 4 feet on the actual building.

Therefore, if the length of the room as measured on the drawing is 6 inches, the actual length of the room will be

6 × 4 = 24 feet

Also, if the width of the room as measured on the drawing is 9 inches, the actual width of the room will be

9 × 4 = 36 feet

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vladimir1956 [14]

Answer:

StartFraction StartRoot 3 EndRoot Over 3 EndFraction

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

we know that

In the right triangle XYZ

cos(Y)=\frac{ZY}{XY} ---> adjacent side divided by the hypotenuse

substitute the values

cos(30\°)=\frac{ZY}{4}

Remember that

cos(30\°)=\frac{\sqrt{3}}{2}

so

substitute

\frac{\sqrt{3}}{2}=\frac{ZY}{4}

ZY=(4)\frac{\sqrt{3}}{2}

ZY=2\sqrt{3}\ units

step 2

sin(Y)=\frac{XZ}{XY} --> opposite side divided by the hypotenuse

substitute the values

sin(30\°)=\frac{XZ}{4}

Remember that

sin(30\°)=\frac{1}{2}

so

\frac{1}{2}=\frac{XZ}{4}

XZ=2\ units

step 3

tan(Y)=\frac{XZ}{ZY} --> opposite side divided by adjacent side

substitute the values

tan(Y)=\frac{2}{2\sqrt{3}}

tan(Y)=\frac{1}{\sqrt{3}}

Simplify

tan(Y)=\frac{\sqrt{3}}{3}

so

StartFraction StartRoot 3 EndRoot Over 3 EndFraction

7 0
3 years ago
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Passing through the coordinate (10,12) parallel to y=6
erastova [34]

Answer:

y = 12

Step-by-step explanation:

A line parallel to y = 6 is, like y = 6, horizontal.  Such a line passing through (10,12) is y = 12.


7 0
3 years ago
Need help please answer this question
Aleks04 [339]

Answer:

C

Step-by-step explanation:

Substitute the given values for x and y into the expression

5 × (\frac{60}{6(5)}) - 1

= 5 × (\frac{60}{30}) - 1

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4 0
3 years ago
To increase or decrease an amount by 30% what single multiplier would you use?
Nataly_w [17]
100%-30%=70%
100%+30%=130%

to decrese by 30%, multiply by 70%
to increase by 30%, multiply by 130%

5 0
3 years ago
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(5n - 3) - (-2n + 7)
AleksandrR [38]

Answer:

7n-10

Step-by-step explanation:

=(5n-3) - (-2n) -7 [Bracket Opens]

=5n - 3 +2n -7 [- × - = +]

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