The length and width of the rectangle is 2√5m and √5m respectively
<h3>Volume of a rectangle</h3>
The formula for calculating the volume of a rectangle is expressed as:
V = lw
where
l is the length
w is the width
h is the height
If base is twice its width, then l = 2w
Substitute
10 = w(2w)
10 = 2w²
5 = w²
w = √5 m
Since l = 2w
l = 2√5m
Hence the length and width of the rectangle is 2√5m and √5m respectively
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Multiply 5% by 229
So, .05 x 229 = 11.45
$11.45 tax
Answer:
x=5, y=-3, x=-4, y=9
Step-by-step explanation:
1. x=5, is a vertical line cutting the x axis at 5
2. y=-3 is a horizontal line cutting the y axis at -3
3. x= -4, is a vertical line cutting the x-axis at -4
4. y=9, is a horisontal line cutting the y-axis at 9
Answer:
576
Step-by-step explanation:
(2^2)(3^2)(4^2)
4*9*16
4*9=36*16
36*16
576
Answer:
a:c = 35:24
a:c = 20:27
a:c = 35:22
a:c = 28:27
Step-by-step explanation:
a:b = 7:3
Using cross products
3a = 7b
Divide by 7
3a/7 = b
Now we want
8b = 5c
Substitute in 3a/7 for b
8 (3a/7) = 5c
24/7a = 5c
Multiply by 7
24/7a *7 = 5*7c
24a = 35c
Divide by c
24 a/c = 35
Divide by 24
a/c = 35/24
a:c = 35:24
a:b = 4:9
Using cross products
9a = 4b
Divide by 4
9a/4 = b
Now we want
3b = 5c
Substitute in 9a/4 for b
3 (9a/4) = 5c
27/4a = 5c
Multiply by 4
27/4a *4 = 5*4c
27a = 20c
Divide by c
27 a/c = 20
Divide by 27
a/c = 20/27
a:c = 20:27
b:c = 5:11
Using cross products
11b = 5c
Divide by 11
b = 5c/11
Now we want
2a = 7b
Substitute in 5c/11 for b
2a = 7(5c/11)
2a = 35c/11
Multiply by 11
2a*11 = 35c
22a = 35c
Divide by c
22 a/c = 35
Divide by 22
a/c = 35/22
a:c = 35:22
b:c = 14:3
Using cross products
3b = 14c
Divide by 3
b = 14c/3
Now we want
9a = 2b
Substitute in 14c/3 for b
9a = 2(14c/3)
9a = 28c/3
Multiply by 3
9a*3 = 28c
27a = 28c
Divide by c
27 a/c = 28
Divide by 27
a/c = 28/27
a:c = 28:27