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ch4aika [34]
2 years ago
8

A scale drawing of a house shows 9cm x10cm. If 6cm=12 ft, what are the actual dimensions?

Mathematics
1 answer:
Elenna [48]2 years ago
6 0

Answer:

18ft x 20ft

Step-by-step explanation:

(I'm kinda in a rush so I can't explain right now, sorry!)

Hope that helped though :)

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A pyramid has a rectangular base of length (3x + 1)cm and width xcm.
sergey [27]

Answer:

The dimension of the base of the Rectangle Pyramid is Length = 10 and Width = 8/3

Step-by-step explanation:

Given

Rectangle Pyramid

Base Length = 3x + 1

Base Width = x

Height = 12

Volume = 96

Required

Dimension of the base of the pyramid

Given that the volume of the pyramid is ⅓ of the base area * the height.

This is represented mathematical as

Volume = ⅓ * base area * height.

Where

Base area = width * length

Base area = (3x + 1) * x

Base area = 3x² + x.

So,

Volume becomes

Volume = ⅓ * (3x² + x) * 12.

Volume = (3x² + x) * 4

Substitute 96 for volume

96 = (3x² + x) * 4

Divide both sides by 4

96/4 = (3x² + x) * 4/4

24 = 3x² + x

Subtract 24 fr both sides

24 - 24 = 3x² + x - 24

0 = 3x² + x - 24

3x² + x - 24 = 0

Expand

3x² + 9x - 8x - 24 = 0

Factorize

3x(x + 3) - 8(x + 3) = 0

(3x - 8)(x + 3) = 0

3x - 8 = 0 or x + 3 = 0

3x = 8 or x = -3

x = 8/3 or x = -3

Recall that

Length = 3x + 1

Width = x

For any of the above expression, x can't be less than 0; so, x = -3 can't be considered.

Substitute x = 8/3

Length = 3x + 1

Length = 3(8/3) + 1

Length = 8 + 1

Length = 9

Width = x

Width = 8/3

Hence, the dimension of the base of the Rectangle Pyramid is Length = 10 and Width = 8/3

7 0
3 years ago
QUICKK
VLD [36.1K]
3x + 4(2) = 20
3x + 8 = 20
3x = 12
x = 4
(4,2)
You have y=2 then all you need to do is plug 2 into the y in the equation 3x + 4y = 20 and do the math to find x. Hope this helps
7 0
3 years ago
Use two points to enter an equation for the function. Give your answer in the form a (b^x). In the event
melomori [17]

Answer:

LOL i belive its 200 because i did this exact same thing yesterday for homework and got it right, good luck, i tried to give you the right answer so if its wrong then its the system!

Step-by-step explanation:

8 0
3 years ago
Kristin is 20 miles behind a truck that is driving 50 miles per hour. How long will it take her to catch up to the truck? How fa
creativ13 [48]
<span>t = 20/(r-50)</span>t=20/r-50 hours

8 0
3 years ago
Find the y-intercept and graph the equation y=15x​
icang [17]

The y-intercept is 0 because you can add it to the equation and it won't change your slope.

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