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3 years ago

What us 22.5 over 360 as a fraction in its simplest form

Mathematics

1 answer:

Olenka [21]3 years ago

4 0

360/22.5=16
so the answer is 1/16

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What is 0.5, 1/5, 0.35, 12/25, 4/5 in order from least to greatest?

Aleks [24]

1/5, 0.35, 12/25, 0.5, 4/5

3 0

3 years ago

Read 2 more answers

A group of students auditioned for a theater performance and 3/4 of the group less six students made up the cast of 42 students.

LenKa [72]

Answer:

3/4x-6=42

x=64

Step-by-step explanation:

Let the number of students be x hence 3/4 of this number will be 3/4x

Since the number was 42 if they were 3/4x less six, it means minus six hence

3/4x-6=42

Therefore, the equation will be

3/4x-6=42

Solving the equation

3/4 x=42+6=48

3/4x=48

X=62

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4 years ago

If 42 students were born in a state other than Texas, how many students does Mrs. Vy have in all her classes

Tanya [424]

Answer:

Step-by-step explanation:

7 0

3 years ago

Find, correct to four decimal places, the length of the curve of intersection of the cylinder 16x2 + y2 = 16 and the plane x + y

lubasha [3.4K]

First find a parameterization for the curve of intersection.

Given the equation of a cylinder, a natural choice for a parameterization would be one utilizing cylindrical coordinates. Here,

$16x^2+y^2=16\implies x^2+\left(\dfrac y4\right)^2=1$

which suggests we could use

$\begin{cases}x(t)=\cos t\\y(t)=4\sin t\\z(t)\end{cases}$

with $0\le t\le2\pi$ , and we get $z(t)$ from the equation of the plane,

$x+y+z=12\implies z(t)=12-x(t)-y(t)=12-\cos t-4\sin t$

Now use the arc length formula:

$\displaystyle\ell=\int_0^{2\pi}\sqrt{\left(\dfrac{\mathrm dx}{\mathrm dt}\right)^2+\left(\dfrac{\mathrm dy}{\mathrm dt}\right)^2+\left(\dfrac{\mathrm dz}{\mathrm dt}\right)^2}\,\mathrm dt$

$\displaystyle\ell=\int_0^{2\pi}\sqrt{\sin^2t+16\cos^2t+(\sin t-4\cos t)^2}\,\mathrm dt$

$\displaystyle\ell=\sqrt2\int_0^{2\pi}\sqrt{\sin^2t-4\cos t\sin t+16\cos^2t}\,\mathrm dt\approx\boxed{24.0878}$

4 0

4 years ago

Can anyone help me with these 2 problems?

Westkost [7]

10.00 - 3.55 = 6.45 back

a $5 bill and a $1 dollar bill = $6

a quarter and 2 dimes = 0.45

so 2 bills and 3 coins

B) 120 x 4 = 480 minutes

480/60 = 8 hours

8 0

3 years ago