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3 years ago

Sandy paid $20.30 as the sales tax for a bike she bought. If the sales tax is

Mathematics

1 answer:

BigorU [14]3 years ago

4 0

Answer:

21.72

Step-by-step explanation:

0.07 x 20.30

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Solve for x and y 4x, 15 X + 12, 3y<br>(it's for a parallelogram)

yan [13]

Answer:

done on peace of paper

Step-by-step explanation: bro this was so easy how do you not know this

7 0

2 years ago

Please help this is urgent and I am being timed

Shkiper50 [21]

Hi there!

Pauline simplified the expression correctly.

Pauline made sure she used the distributive property and combined like terms after doing so.

Hope this helps !

5 0

3 years ago

Please help me this is so confusing to me.

Naddik [55]

Hi there! :)

$\large\boxed{A = 120^{o}}$

Find the central angle using a ratio in regards to angle and circumference.

The radius is 27 units, so use the following equation to calculate circumference:

C = 2rπ

Therefore:

C = 2(27)π = 54π

Since we have the total circumference, we can write the following proportion:

$\frac{x}{360} = \frac{18\pi}{54\pi}$

Cross multiply:

54πx = 6480π

Divide both sides by 54π to isolate for x:

x = 120°

8 0

2 years ago

What do x square equal

malfutka [58]

X * x

or

x times x

or

x times itself

or

x squared

all means the same thing

7 0

2 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

Yuri [45]

Let the curve C be the intersection of the cylinder

$16x^2+y^2=16$

and the plane

$x+y+z=1$

The projection of C on to the x-y plane is the ellipse

$16x^2+y^2=16$

To see clearly that this is an ellipse, le us divide through by 16, to get

$\frac{x^2}{1}+ \frac{y^2}{16}=1$

$\frac{x^2}{1^2}+ \frac{y^2}{4^2}=1$ ,

We can write the following parametric equations,

$x=cos(t), y=4sin(t)$

for

$0\le t \le 2\pi$

Since C lies on the plane,

$x+y+z=1$

it must satisfy its equation.

Let us make z the subject first,

$z=1-x-y$

This implies that,

$z=1-sin(t)-4cos(t)$

We can now write the vector equation of C, to obtain,

$r(t)=(cos(t),4sin(t),1-cos(t)-4sin(t))$

The length of the curve of the intersection of the cylinder and the plane is now given by,

$\int\limits^{2\pi}_0 {|r'(t)|} \, dt$

But

$r'(t)=(-sin(t),4cos(t),sin(t)-4cos(t))$

$|r'(t)|=\sqrt{(-sin(t))^2+(4cos(t))^2+(sin(t)-4cos(t))}$

$\int\limits^{2\pi}_0 {\sqrt{2sin^2(t)+32cos(t)-8sin(t)cos(t)} }\, dt=24.08778184$

Therefore the length of the curve of the intersection intersection of the cylinder and the plane is 24.0878 units correct to four decimal places.

6 0

3 years ago