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Readme [11.4K]
1 year ago
12

In 20 years, Finn will be 3 times as old as he is right now. How old is he right now?​

Mathematics
1 answer:
Bumek [7]1 year ago
3 0
I think it is 60 years old?
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Multiply out and simplify to obtain a minimum sum-of-products boolean expression:
max2010maxim [7]

Answer:

As per the question, we need to convert product of sum into sum of product,

Given:

(A' +B+C')(A'+C'+D)(B'+D'),

At first, we will solve to parenthesis,

= (A'+C'+BD) (B'+D')

As per the Rule, (A+B)(A+C) = A+BC, In our case if we assume X = A'+C', then,

(A' +B+C')(A'+C'+D) = (A'+C'+B)(A'+C'+D) = (A'+C'+BD)

Now,  

= (A'+C'+BD) (B'+D') = A'B' + A'D' + C'B' +C'D' +BDB' +BDD"

As we know that AA' =  0, it mean

=A'B'+A'D'+C'B'+C'D'+D*0+B0

=A'B'+A'D'+C'B'+C'D'               as B * 0 and D*0 = 0

Finally, minimum sum of product boolean expression is

A''B'+A'D'+C'B'+C'D'

=

5 0
2 years ago
Which represents the value of What is the length of line segment DG?
Natalka [10]

<u>Answer</u>

12 units


<u>Explanation</u>

This can be solved using the properties of a circle.

DG and EG are secants f the circle.

DG×HG =EG×FG

(x+3+5)×5 = (x+6)×6

(x+8)5 = 6x + 36

5x +40 = 6x + 36

x = 4

DG = (x+3+5)

= 4 + 3 + 5

= 12 units

5 0
3 years ago
Read 2 more answers
if the height of the cylinder with a radius of 12 cm and a height of 20 cm has the same volume as a cone with a radius of 8 cm.
Marrrta [24]

Answer:

\large\boxed{H=135\ cm}

Step-by-step explanation:

The formula of a volume of a cylinder:

V=\pi r^2H

r - radius

H - height

We have the radius r = 12cm and the height H = 20cm. Substitute:

V=\pi(12^2)(20)=\pi(144)(20)=2880\pi\ cm^3

The formula of a volume of a cone:

V=\dfrac{1}{3}\pi r^2H

r - radius

H - height

We have the radius r = 8cm and the volume V = 2880πcm³. Substitute:

\dfrac{1}{3}\pi(8^2)H=2880\pi\qquad\text{divide both sides by}\ \pi\\\\\dfrac{1}{3}(64)H=2880\qquad\text{multiply both sides by 3}\\\\64H=8640\qquad\text{divide both sides by 64}\\\\H=135\ cm

7 0
3 years ago
PQ=RQ<br> ala<br> 490<br> P<br> b<br> S<br> R<br> 17<br> a = [? ]°<br> Enter
kykrilka [37]

Answer:

a=100°

as 180-140= 40 , 40 x 2 = 80 & 180-80 = 100° = a

Step-by-step explanation:

8 0
2 years ago
The function f(x)=sqrtx is translated left 5 units and up 3 units to create the function g(x). What is the domain of g(x)?
Yanka [14]
F(x) = √x

After transformation,
g(x) = √(x-5) + 3

domain: [5,∞)

hope it helps!
8 0
3 years ago
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