If there are 15 students who don’t wear glasses, how many students are in the class?

An automobile travels past the farmhouse at a speed of v = 45 km/h. How fast is the distance between the automobile and the farm

yulyashka [42]

Answer:

$\frac{ds}{dt} = 39.586 km/h$

Step-by-step explanation:

let distance between farmhouse and road is 2 km

From diagram given

p is the distance between road and past the intersection of highway

By using Pythagoras theorem

$s^2 = 2^2 +p^2$

differentiate wrt t

we get

$\frac{d}{dt} s^2 = \frac{d}{dt} (4 + p^2)$

$2s \frac{ds}{dt} =2p \frac{dp}{dt}$

$\frac{ds}{dt} = \frac{p}{s}\frac{dp}{dt}$

$\frac{ds}{dt} = \frac{p}{\sqrt{p^2 +4}} \frac{dp}{dt}$

putting p = 3.7 km

$\frac{ds}{dt} = \frac{3.7}{\sqrt{3.7^2 +4}} 45$

$\frac{ds}{dt} = 39.586 km/h$

3 0

3 years ago

A trapezoid has base lengths of 12 centimeters and 13 centimeters. The other sides have lengths of 5 centimeters and 10 centimet

WINSTONCH [101]

Answer:

D. 100 cm^2

Step-by-step explanation:

i did this before so ik im right

8 0

2 years ago

Please Help ASAP!! Will mark brainliest! Please Help, I know its a lot but please help!

slavikrds [6]

Answer:

1st: 0.04, 0.04, 0.25, 0.4

2nd: 0.06, 0.16, 0.6, 60

3rd: 0.07, 0.7, 0.075, 0.75, 7.5

4th: 0.02, 0.18, 0.2, 200

5th: 0.009, 0.09, 0.9, 0.95

6th, 0.1, 0.12, 1, 10

Step-by-step explanation:

6 0

2 years ago

3 + 2x = y Given x = 4 y =

wel

Answer:

y = 11

Step-by-step explanation:

Plug 4 in for x.

3 + 2(4) = y

Multiply.

3 + 8 = y

Simplify.

11 = y

7 0

2 years ago

Read 2 more answers

10 gallons of gasoline costs $30. The cost of gasoline per gallon is ________ and gallons of gasoline per dollar are ________.

Blababa [14]

2. if the cost of 10 gallons of gasoline is 30 dollars then divide 10 by 10 and divide 30 by 10 to get 1 and 3 so the cost of 1 gallon is $3

3. if 2 packets of bread is 3 dollars then divide 2 and 3 by 2 so in conclusion 1 loaf f bread is $1.50.

4. if a cleaning service charges $1000 for 20 offices then divide 1000 by 20 and 20 by 20 to have an answer of $50 for every one office.

5. to find the answer to this problem you need to divide 320 by 4 to find out organes per bag so 80 oranges per bag.

6. if the baker ca bake 12 cakes every 45 minutes then he can bake 4 cakes every 15 minutes because divide both 12 and 45 by three so in conclusion the baker can bake 16 cakes every hour.

7. so if you can print 100 pages for $2 then multiply 100 and 2 by two to get 200 pages for $4

8. so to find the answer to this all you need to do is divide 12 by six to fin out that it is 2 apples for $1 and for the other store you divide 21 by seven to find out that it is 3 apples for $1.

9. to find out the answer for this divide 24,000 by 12 to find that his monthly income is $2,000.

10. if a 0.2 pund package is $4 then a 0.001 pound package is 20 cents.

I hope i got the answers right and that i could help! :)

6 0

2 years ago