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igomit [66]
3 years ago
5

Vis inversely proportional to r, when r = 3, V= 10.

Mathematics
1 answer:
guapka [62]3 years ago
8 0

Answer:

Constant of proportionality = 30

Example: r = 6, V = 5

Step-by-step explanation:

Inverse proportion: V*r = constant

Given r=3, V=10, constant = V*r = 30

Example:

r = 6, V = 30/6 = 5

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V=Bh, where B is the area of the base and h is the height of the prism.

V = (1/2 x 12.6 x 1.6) x 10.75
V = 108.36 cubic mm

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8 0
3 years ago
Read 2 more answers
Evaluate 0.1m+8-12n0.1m+8−12n0, point, 1, m, plus, 8, minus, 12, n when m=30m=30m, equals, 30 and n=\dfrac14n= 4 1 ​ n, equals,
Rom4ik [11]

Answer:

8

Step-by-step explanation:

We are required to evaluate:

0.1m+8-12n

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0.1m+8-12n=0.1(30)+8-12(\frac{1}{4})\\=3+8-\frac{12}{4}\\=3+8-3\\=8

8 0
2 years ago
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A^2-a+12=0 I need the roots
kumpel [21]

Answer:

a = 1/2 (1 ±sqrt(47))

Step-by-step explanation:

a^2-a+12=0

We will complete the square

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a^2-a+12-12=0-12

a^2-a=-12

The coefficient of a = -1

-Divide by 2 and then square it

(-1/2) ^2 = 1/4

Add it to each side

a^2 -a +1/4=-12 +1/4

(a-1/2)^2 = -11 3/4

(a-1/2)^2= -47/4

Take the square root of each side

sqrt((a-1/2)^2) =sqrt(-47/4)

a-1/2 = ±i sqrt(1/4) sqrt(47)

a-1/2= ±i/2 sqrt(47)

Add 1/2 to each side

a-1/2+1/2 = 1/2± i/2 sqrt(47)

a =  1/2± i/2 sqrt(47)

a = 1/2 (1 ±sqrt(47))

8 0
2 years ago
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Viktor [21]

Answer:

19.154 :)

Step-by-step explanation:

67.094

-47.940

--------------

19.154

8 0
3 years ago
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Write 34.8% as a fraction in simplest form.
balandron [24]

Answer:

87/250

Hope this helps!!

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