1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
maks197457 [2]
2 years ago
6

At 1:00 p.m., the water level in a pool is 13 inches. At 1:30 p.m., the water level is 18 inches. At 2:30 p.m.,the water level i

s 28 inches. What is the constant rate of change
Mathematics
2 answers:
kogti [31]2 years ago
8 0

Hey!

Hope this helps...

~~~~~~~~~~~~~~~~~~~~~~~~

Now to solve this question all we need is basic math...


We know the water level (<em>at 1:00 pm</em>) started at 13in and than 30mins later it rose by 5in (<em>going to 18in</em>).  Now an hour has passed and the water level has rose by 10in (<em>making it 28in in total</em>).

So, using basic math we can see that every 30mins the water level rises every 5in, and the equivalent ratio (simplified) is MINS to INCHES, 6min : 1in

So...

The answer is: Every 6mins the water level rises by 1in (rounded to the most simplified form).

ELSE

The answer is: Every 30mins the water level rises by 5in

Mila [183]2 years ago
6 0
The pool water goes up 5 inches every half hour.
You might be interested in
If a photocopier makes copies in 1/3 s, then at the same rate, how many copies does it make in 4 minutes?
irina1246 [14]

Answer:

80 copies

Step-by-step explanation:

4 minutes= 240 seconds. So I did 240 seconds divided by 3 seconds (one copy is made in that time) then you get 80. I don't know if that explanation make sense but the math checks out.

3 0
2 years ago
An experience bricklayer can construct a small wall in 3 hours. An apprentice can complete the job in 5 hours. Find how long it
Over [174]

Answer:

Step-by-step explanation:

If the bricklayer can construct the wall in its entirety in 3 hours, then he can get 1/3 of the job done in an hour.

If the apprentice can get the whole job done in 5 hours, then he can get 1/5 of the job done in an hour. If they both work together on said job, the equation is

\frac{1}{3}+\frac{1}{5}=\frac{1}{x} and now we solve for x. Multiply everything by the LCM to get rid of the fractions. That would be 15x:

15x(\frac{1}{3}+\frac{1}{5}=\frac{1}{x}) and doing that gives us

5x + 3x = 15 and

8x = 15 so

x = 1.875 hours which is 1 7/8 hours which is also 1 hour and 52 1/2 minutes.

3 0
2 years ago
INFO: The chairs are evenly spaced around
lana66690 [7]

Answer: About 72 feet

The more accurate value is roughly 71.7260397 feet (however, this value isn't fully exact either).

======================================================

Explanation:

Check out the diagram below. It's effectively the same diagram your teacher provided, but I've added points M and N. I've left out any unnecessary lines.

  • M = center of the circle
  • N = location where the cable is anchored to the ground

We're told that "(the length of cable from) E to the ground is 35 feet", so this is the red portion of cable that I've marked this as NE = 35, ie segment NE is 35 feet long. We're also told that NF = 40 feet, which is also shown in red.

The blue portions are chords of the circle. We're given one chord as LE = 80 ft, while the other chord JF is what we want to find out.

-----------------

What we need to find is the radius of this circle. Right away, it's not clear what the radius is; however, we can use the chord LE = 80 to help find it.

It turns out that the chord length c is connected to the radius r and central angle theta like so:

c = 2*r*sin(0.5*theta)

where theta must be in radian mode. The central angle subtends the arc that forms the chord in question.

If we started at point L, and counted the number of spaces to get to E while going clockwise, then we can see that there are 5 spaces

Those five spaces could be written as

  1. The jump from L to A
  2. The jump from A to B
  3. The jump from B to C
  4. The jump from C to D
  5. The jump from D to E

Or you could mark it as such on the diagram for a visual reference. Overall, the circle has been cut into 12 equal slices. So going from L to E, going clockwise, will have us take up 5/12 of the full circle.

There are 2pi radians in a full circle, meaning the central angle LME is (5/12)*2pi = 5pi/6 radians.

-----------------

Plug theta = 5pi/6 and c = 80 into the formula mentioned. Isolate the radius.

c = 2*r*sin(0.5*theta)

80 = 2*r*sin(0.5*5pi/6)

80 = 2*r*sin(5pi/12)

80 = 2*r*0.9659258

80 = 2*0.9659258*r

80 = 1.9318516r

1.9318516r = 80

r = 80/1.931 8516

r = 41.4110483

The radius is approximate. The radius is in feet. Make sure your calculator is in radian mode.

-----------------

Now that we know the radius, we can determine how long chord JF is.

The central angle for chord JF is angle JMF

If we start at J and go to F, along the shorter path, then we've gone 4 spaces. This is 4/12 = 1/3 of the full circle. So the radian measure of angle JMF is (1/3)*2pi = 2pi/3 radians.

So,

c = 2*r*sin(0.5*theta)

c = 2*41.4110483*sin(0.5*2pi/3)

c = 71.7260397

Chord JF is roughly 71.7260397 feet long.

When rounding to the nearest foot, that's about 72 feet.

6 0
2 years ago
HELPP! Geometry volume practice
GarryVolchara [31]

Answer:

Step-by-step explanation:

the height is 80 m

hope that helps

7 0
2 years ago
A dog is leashed to the corner of a house. How much running area does the dog have? Round answer to the nearest square foot, if
sashaice [31]

Answer:

  942 ft²

Step-by-step explanation:

The diagram shows the area to be 3/4 of that of a circle of radius 20 ft. The area of a circle is given by ...

  A = πr² = π(20 ft)² = 400π ft²

Then 3/4 of that area is ...

  dog run = (3/4)(400π ft²) = 300π ft² ≈ 942.48 ft²

The area of the dog's run is about 942 ft².

3 0
3 years ago
Other questions:
  • Write an expression that is the product of two factors and is equivalent to negative 5xminus30. Which expression is the product
    8·1 answer
  • Rounding<br>Round each number to the nearest hundred<br>7892<br>472​
    11·2 answers
  • A cylinder has a base diameter of 4cm and a height of 2cm. What is its volume in
    9·1 answer
  • Y = 5x + 9 (-2, -3) pls help me
    8·1 answer
  • Please help, hard question
    12·1 answer
  • Can someone please be generous &amp; help I’ve been struggling all night
    12·1 answer
  • I need help asap pls!!
    5·1 answer
  • The diagram shows the field lines near the poles, X and Y, of two magnets.
    5·2 answers
  • Para construir una estantería, un carpintero necesita lo siguiente:
    9·1 answer
  • 6 more than the square of r is same as 33 .
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!