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2 years ago

9

The blueprints of a house show that a wall is 21 feet long. If the blueprints have a map scale of 1.5 inches = 3 feet, how long

is the model wall

1 answer:

Lyrx [107]2 years ago

6 0

Answer:

10.5 inches

Step-by-step explanation:

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A room is 30m long , 24m broad and 18m high. Find (a) Length of the longest rod that can be placed in the room. (b) Its tolal su

melomori [17]

Answer:

Part a) The length of the longest rod that can be placed in the room is 42.43 m

Part b) The total surface area is $SA=3,384\ m^2$

Part c) The volume is equal to $V=12,960\ m^3$

Step-by-step explanation:

Part a) Find the length of the longest rod that can be placed in the room

The room is in the shape of a rectangular prism, so the longest rod that can be placed in the room is equal to the diagonal of the rectangular prism

Let

d -----> diagonal of the base of the room

D ----> diagonal of the rectangular prism

step 1

Find the diagonal of the base

Applying the Pythagoras Theorem

$d^{2}=30^{2}+24^{2}$

$d^{2}=1,476$

$d=\sqrt{1,476}\ m$

step 2

Find the diagonal of the rectangular prism

The legs of the diagonal of the rectangular prism are the diagonal of the base and the height of the room

Applying the Pythagoras Theorem

$D^{2}=(\sqrt{1,476})^{2}+18^{2}$

$D^{2}=1,476+324$

$D^{2}=1,800$

$D=42.43}\ m$

Part b) Find the total surface area

we know that

The total surface area of the room is equal to

$SA=2B+PH$

where

B is the area of the base of the room

P is the perimeter of the base of the room

H is the height of the room

so

$SA=2[(30)(24)]+2[30+24](18)$

$SA=1,440+1,944$

$SA=3,384\ m^2$

Part c) Find the volume

we know that

The volume of the room is equal to

$V=BH$

where

B is the area of the base of the room

H is the height of the room

so

$V=[(30)(24)](18)$

$V=12,960\ m^3$

5 0

2 years ago

(1/4+5/4)²+3/4= what's the awnser <br><br><br><br><br><br><br><br>

LUCKY_DIMON [66]

The answer is 3

Hope this helps

4 0

2 years ago

Read 2 more answers

A pancake recipe uses 1/4 cup of all-purpose flour and 1/4 cup of rice flour. What is the ratio of all-purpose flour to rice flo

inna [77]

Answer:

1:1 ratio

Step-by-step explanation:

a 1:1 ratio happens when the amount of the item is the same as the other. 1/4 cup of all purpose flour is the same amount as 1/4 rice flour so the recipe uses a 1:1 ratio

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2 years ago

Please answer it quickly the question is below!!! 40 points!!!!

andrew-mc [135]

Answer:

187.5 ft

Step-by-step explanation:

50 ft x 3.75 = 187.5

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2 years ago

Which number is between 6 1/8 and /64?

gayaneshka [121]

I think the answer is D but I’m not sure

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2 years ago