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4 years ago

PLEASE HELP FAST

Mathematics

1 answer:

Rzqust [24]4 years ago

8 0

Answer:

a)2 is a factor of 12

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

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

$SA=1,440+1,944$

$SA=3,384\ m^2$

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

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

$V=12,960\ m^3$

5 0

3 years ago

Please answer and explain!!!

slega [8]

F(3) means x =3 and x = 3 > -1 (f(x) = x^2 if x > -1)
so
f(3) = x^2 = 3^2 = 9

Answer
C . 9

6 0

3 years ago

Let X be a random variable that is equal to the number of times a 5 is rolled in three rolls of a fair 5-sided die with the inte

Svetradugi [14.3K]

Answer:

Step-by-step explanation:

Note: If you have any queries related the answer please do comment. I would be very happy to resolve all your queries.

Firstly we will make PMF

For X=0, P=(4/5)^3=64/125

For X=1, P=C(3,1)*(1/5)*(4/5)^2=3*16/125=48/125

For X=2, P=C(3,2)*(1/5)^2*(4/5)=3*4/125=12/125

For X=3, P=C(3,3)*(1/5)^3=1/125

So,

E[X^2]=1*48/125+2^2*(12/125)+3^2/125=0.84

E[X]=48/125+12/125*2+1/125*3=0.6

So,

E[X]^2=0.36

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3 years ago

Simplify 24 ÷ (-2)(3) + 7Simplify 24 ÷ (-2)(3) + 7

Mnenie [13.5K]

Solving the expression $24\div (-2)(3) + 7$ we get -29

Step-by-step explanation:

We need to simplify $24\div (-2)(3) + 7$

Solving:

$24\div (-2)(3) + 7$

Using DMAS rule

$=24\div(-2)*(3)+ 7$

$=-12*3+ 7$

$=-36+7$

$=-29$

So, solving the expression $24\div (-2)(3) + 7$ we get -29

Keywords: Solving the expression

Learn more about Solving the expression at:

#learnwithBrainly

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3 years ago

Plot the following wing points on a number line 2/3, 1/6 & 4/10

V125BC [204]

1/6 then 4/10 then 2/3

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3 years ago