Ask question

Ask question

All categories

3 years ago

11

Clare's school took a field trip. A total of 21 vehicles were needed. Some students went in busses and some went in cars. Each b

us held 30 students and each car held 4 students. A total of 318 students went on the trip. How many busses and how many cars were used?

1 answer:

Nikitich [7]3 years ago

6 0

I’m working on it right now, so give me some time please

You might be interested in

Help please I’ve been looking online for help but couldn’t find any.

alexandr1967 [171]

5 is 33 because the question ends up being 14+3+16

4 0

3 years ago

Find, correct to four decimal places, the length of the curve of intersection of the cylinder 4x2 1 y2 − 4 and the plane x 1 y 1

charle [14.2K]

<u>Answer-</u> Length of the curve of intersection is 13.5191 sq.units

<u>Solution-</u>

As the equation of the cylinder is in rectangular for, so we have to convert it into parametric form with

x = cos t, y = 2 sin t (∵ 4x² + y² = 4 ⇒ 4cos²t + 4sin²t = 4, then it will satisfy the equation)

Then, substituting these values in the plane equation to get the z parameter,

cos t + 2sin t + z = 2

⇒ z = 2 - cos t - 2sin t

∴ $\frac{dx}{dt} = -\sin t$

$\frac{dy}{dt} = 2 \cos t$

$\frac{dz}{dt} = \sin t-2cos t$

As it is a full revolution around the original cylinder is from 0 to 2π, so we have to integrate from 0 to 2π

∴ Arc length

$= \int_{0}^{2\pi}\sqrt{(\frac{dx}{dt})^{2}+(\frac{dy}{dt})^{2}+(\frac{dz}{dt})^{2}$

$=\int_{0}^{2\pi}\sqrt{(-\sin t)^{2}+(2\cos t)^{2}+(\sin t-2\cos t)^{2}$

$=\int_{0}^{2\pi}\sqrt{(2\sin t)^{2}+(8\cos t)^{2}-(4\sin t\cos t)$

Now evaluating the integral using calculator,

$=\int_{0}^{2\pi}\sqrt{(2\sin t)^{2}+(8\cos t)^{2}-(4\sin t\cos t)$ $= 13.5191$

8 0

3 years ago

For a carnival game, containers are arranged in a triangular display. The top row has 1 container. The second row has 2 containe

docker41 [41]

26 are left. Its just addition then subtraction.

4 0

3 years ago

Read 2 more answers

Describe and sketch the suraface in R3 represented by the equation x+y=2.

Talja [164]

Answer:

The three-dimensional surface represented by the equation x+y=2 is an inclined plane, as seen in the image.

5 0

3 years ago

Which expression is equivalent to -7(y-2)? <br> a. -7y-2<br> b.-7y+2<br> c.-7y-14<br> d.-7y+14

seraphim [82]

Answer:

D for doooooggggooooooo

Step-by-step explanation:

magiiccc

6 0

3 years ago