All categories

3 years ago

Can you help me please

Mathematics

1 answer:

leonid [27]3 years ago

8 0

Answer

Step-by-step explanation:

(4-1)^2+(8-8)^2=9

square root of 9 is 3

You might be interested in

★彡[ʜᴇʟʟᴏ ᴇᴠᴇʀʏʙᴏᴅʏ ɪ ᴀᴍ ꜰʀᴏᴍ ɪɴᴅɪᴀ ᴀɴʏᴏɴᴇ ᴡʜᴏ ᴄᴀɴ ʙᴇᴄᴏᴍᴇ ᴍʏ ɢɪʀʟꜰʀɪᴇɴᴅ

Ivanshal [37]

Answer:

Step-by-step explanation:

6 0

3 years ago

If a plane can travel 500 miles per hour with the wind and 400 miles per hour against the wind, find the speed of the wind and t

OLga [1]

Wind speed is 50 mph

8 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

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

Carina spent a total of $5.27 buying a pineapple for $3.40 and several pounds of tomatoes that were on sale for $0.85 per pound.

gulaghasi [49]

Okay so I'm going to set up a equation:

5.27= 3.40+ 0.85x, we have our total our price of one pineapple and our variable

next I isolate the variable:

5.27-3.40=0.85x

next:

1.87=0.85x

x= 2.2

she bought 2.2 pounds of tomatoes

7 0

3 years ago

Read 2 more answers

Mila has biked 10 miles in 1.5 hours if Mila continues at the same rate,how many miles will she bike in 3 and a 1/2 hours?

Viefleur [7K]

Mike biked 10 miles in 1.5 hours. Mila bikes at the same rate too.

Therefore, she will bike x miles in 3.5 hours

(10/1.5) = (x/3.5)

You cross multiply

1.5x = 10 x 3.5

1.5x = 35

x = 35/1.5

x = 23 miles (approximately)

I hope this helps

6 0

3 years ago