All categories

3 years ago

The answer to number 27

Mathematics

1 answer:

vovikov84 [41]3 years ago

4 0

Area = Length x width.

30 = w x 3w +1

Simplify:

3w^2 + w = 30

Subtract 30 from both sides:

3w^2 + w -30 =0

Factor

(w-3)(3w+10) = 0

Solve for the w's:

w = 3 and x = -3 1/3

Since the number cant be negative w = 3

The width = 3 cm.

You might be interested in

A student on a piano stool rotates freely with an angular speed of 2.85 rev/s . The student holds a 1.50 kg mass in each outstre

Vlad1618 [11]

Answer:r'=0.327 m

Step-by-step explanation:

Given

$N=2.85 rev/s$

angular velocity $\omega =2\pi N=17.90 rad/s$

mass of objects $m=1.5 kg$

distance of objects from stool $r_1=0.789 m$

Combined moment of inertia of stool and student $=5.53 kg.m^2$

Now student pull off his hands so as to increase its speed to 3.60 rev/s

$\omega _2=2\pi N_2$

$\omega _2=2\pi 3.6=22.62 rad/s$

Initial moment of inertia of two masses $I_0=2mr_^2$

$I_0=2\times 1.5\times (0.789)^2=1.867$

After Pulling off hands so that r' is the distance of masses from stool

$I_0'=2\times 1.5\times (r')^2$

Conserving angular momentum

$I_1\omega =I_2\omega _2$

$(5.53+1.867)\cdot 17.90=(5.53+I_o')\cdot 22.62$

$I_0'=1.397\times 0.791$

$I_0'=5.851$

$5.53+2\times 1.5\times (r')^2=5.851$

$2\times 1.5\times (r')^2=0.321$

$r'^2=0.107009$

$r'=0.327 m$

7 0

3 years ago

The sum of three numbers $x$ ,$y$, $z$ is 165. When the smallest number $x$ is multiplied by 7, the result is $n$. The value $n$

babymother [125]

You're given

x + y + z = 165

7x = n

n = y - 9

n = 9 + z

and you want to find xyz.

Solve the last three equations for x, y, and z :

7x = n → x = n/7

n = y - 9 → y = n + 9

n = 9 + z → z = n - 9

Substitute x, y, and z into the first equation and solve for n :

n/7 + (n + 9) + (n - 9) = 165

n/7 + 2n = 165

n + 14n = 1155

15n = 1155

n = 77

Now solve for x, y, and z :

x = 77/7 = 11

y = 77 + 9 = 86

z = 77 - 9 = 68

Then the product is

xyz = 11 • 86 • 68 = 64,328

6 0

3 years ago

The larger the number in standard notation, the ____________ the exponent on base 10.

PIT_PIT [208]

Larger I think, sorry if that’s wrong.

7 0

3 years ago

Read 2 more answers

NEED HELP ASAP! PLEASE HElp!!

mote1985 [20]

the answer should be C

4 0

3 years ago

7 t-shirts and a hat costs £67.00

frozen [14]

£67.00 / 7= £9.57that’s how much cost the hat
£67.00-£9.57= £57.43
£57.43/7= £8.20 per T-shirt

7 0

3 years ago