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svetoff [14.1K]
2 years ago
14

If a=3b^3/c, what happens to a when b is doubled

Mathematics
1 answer:
Ratling [72]2 years ago
4 0
"b" is cubed, so when you double it (2*b) the 2 also is cubed.

a = 3(2b)³/c
a = 3*8b³/c

So "a" is increased to "8a" 
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Three times the sum of a number and four is equal to five times the number, decreased by two
vodka [1.7K]
Answer is x=2 bacause u just jave to listen. this is the equation . 3x+4=5x-2. solve
4 0
3 years ago
NEED HELP ASAP. By what percent will a fraction change if its numerator is decreased by 30% and its denominator is decreased by
joja [24]

Answer:

0.7x/0.8y = x/y * 0.7/0.8 = x/y * 0.875

So the fraction is reduced by 12.5%

5 0
3 years ago
In triangle abc, the perimeter is 36, and ab=ac. line ad is perpendicular to bc at the point d, and triangle abd's perimeter is
Musya8 [376]
Let x=ab=ac, and y=bc, and z=ad.

Since the perimeter of the triangle abc is 36, you have:

Perimeter of abc = 36
ab + ac + bc = 36
x + x + y = 36
(eq. 1) 2x + y = 36

The triangle is isosceles (it has two sides with equal length: ab and ac). The line perpendicular to the third side (bc) from the opposite vertex (a), divides that third side into two equal halves: the point d is the middle point of bc. This is a property of isosceles triangles, which is easily shown by similarity.

Hence, we have that bd = dc = bc/2 = y/2 (remember we called bc = y).

The perimeter of the triangle abd is 30:

Permiter of abd = 30
ab + bd + ad = 30
x + y/2 + z =30
(eq. 2) 2x + y + 2z = 60

So, we have two equations on x, y and z:

(eq.1) 2x + y = 36
(eq.2) 2x + y + 2z = 60

Substitute 2x + y by 36 from (eq.1) in (eq.2):

(eq.2') 36 + 2z = 60

And solve for z:

36 + 2z = 60 => 2z = 60 - 36 => 2z = 24 => z = 12

The measure of ad is 12.

If you prefer a less algebraic reasoning:

- The perimeter of abd is half the perimeter of abc plus the length of ad (since you have "cut" the triangle abc in two halves to obtain the triangle abd).

- Then, ad is the difference between the perimeter of abd and half the perimeter of abc:

ad = 30 - (36/2) = 30 - 18 = 12
4 0
3 years ago
Read 2 more answers
A package of cookies, packed , ate the fourth part at breakfast , then 3/5 at tea time. there are still 18 cookies in the pakage
Leno4ka [110]
Ok so
1/4 of total eaten
3/4 left
3/5 of 3/4 eaten
9/20 left
18=9/20 of whole
multiply both sides by 20
360=9 of whole
divide both sides by 9
40=whole


40 total originlly

5 0
3 years ago
Read 2 more answers
What’s the value of x trigonometry question
Softa [21]

Answer:

x=9.2394

Step-by-step explanation:

It's tan we're going to use because we're looking for the opposite and we already have the angle

Therefore, x will be

Tan 57= x/6

1.5399= x/6

x= 6*1.5399

x= 9.2394

You can approximate it to the nearest whole number which will be 9

5 0
2 years ago
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