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Alex
2 years ago
10

The table shows the height of water in a pool as it is being filled. A table showing Height of Water in a Pool with two columns

and six rows. The first column, Time in minutes, has the entries, 2, 4, 6, 8, 10. The second column, Height in inches, has the entries, 8, 12, 16, 20, 24. The slope of the line through the points is 2. Which statement describes how the slope relates to the height of the water in the pool? The height of the water increases 2 inches per minute. The height of the water decreases 2 inches per minute. The height of the water was 2 inches before any water was added. The height of the water will be 2 inches when the pool is filled. help me
Mathematics
1 answer:
icang [17]2 years ago
4 0

Answer:

The height of the water increases 2 inches per minute.

Step-by-step explanation:

the slope is always the ratio of

y coordinate change / x coordinate change

in our case, x is the time (minutes), and y is the water height (inches).

we see, the longer the pool get filled, the higher the water gets. logical, right ?

by checking the data points we see :

with every 2 minutes passing the water height increases by 4 inches.

so, the slope is +4/+2 = 2/1 = 2

and that ratio tells us now the increase of the water height with every fraction or multiple of the measured 2-minute interval.

every 2 minutes 4 inches more.

so, e.g. every 3×2 = 6 minutes we get 3×4 = 12 inches more.

and - every 1/2 × 2 = 1 minute more we get 1/2 × 4 = 2 inches more.

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In which quadrant is the point (-2, -9)?​
myrzilka [38]

Answer:

3rd quadrant

Step-by-step explanation:

Given:

Point (-2, -9)

Computation:

In 1st quadrant (+ , +)

In 2nd quadrant (- , +)

In 3rd quadrant (- , -)

In 4th quadrant (+ , -)

So given point (-2, -9) is in 3rd quadrant.

4 0
2 years ago
HELPPPPP! Points scored in a basketball game vary directly with shots taken. If a player scores 50 points , and takes 40 shots ,
Veseljchak [2.6K]

Answer:

Points scored in a basketball game vary directly with shots taken.

This means that this question can be solved

by proportions, using a rule of three.

How many would she have scored if she takes 60 shots?

Using a rule of three:

50 points - 40 shots

x points - 60 shots

Applying cross multiplication:

4x = 50 × 60

Divide from both sides

x = 50 × 1.25 = 75

Answer is 75

Step-by-step explanation:

Here is a easier explanation if you didn't understand clearly:

It asked for how many 60 shots would score.

You would look at the first time he scored which is 50 and took 40 shots. Divide them

50 ÷ 40 = 1.25 or 1.5

So now you know each point scores 1.25 or 1.5

Now you multiply 1.25 or 1.5 with how many shots to see how much was scored and in this case 60 shots.

60 × 1.25 or 60 × 1.5

& They both end up equaling just the same, 75.

Hope it made sense :)

3 0
2 years ago
the difference between two numbers is 342. the bigger number is 4 times the smaller number. find the product of the two numbers.
SVETLANKA909090 [29]

Let the two numbers be x and y.

x = 4y

x - y = 342

3y = 342

y = 114

xy = 4y * y = 456 * 114 = 51984

6 0
3 years ago
A pilot flies on a bearing of 160° for 30 miles. The pilot then executes a quick turn and flies another 15 miles at a bearing of
vivado [14]

Answer: 34.65 miles at an angle of 325.39°

Step-by-step explanation:

Ok, the initial position is (0,0)

Then she flies 30 miles at an angle of 160°, if we count the angle counterclokwise from the x-axis, the new position will be:

p = (30*cos(120°), 30*sin(120°))

Then she travels another 15 miles at an angle of 205°, the new position is:

p = (30*cos(120°) + 15*cos(205°), 30*sin(120°) + 15*sin(205°))

p = (-28.59 , 19.64)

If she now travles X miles at an angle Y, we must have that the final position is the point (0,0)

this means that:

X*cos(Y) = -(-28.59) = 28.59

X*sin(Y) = -19.64

Now, we can find the quotient between those two equations and use that tan(x) = sin(x)/cos(x)

X*(sin(Y))/(X*cos(Y)) = -19.64/28.59

Tg(Y) = -0.69

Y = ATg(-0.69) = -34.61°

If we use only positive angles, this angle is equivalent to:

360° - 34.61° = 325.39°

now lets find the distance:

Xcos(325.39°) = 28.59

X = 28.59/cos(325.39°) = 34.65 miles.

4 0
3 years ago
A rectangular prism has a base with a length of 25, a width of 9, and a height of 12. A secod prism has a square base with a sid
Alenkinab [10]

Answer:

6cm

Step-by-step explanation:

correct for 100 points i swear

7 0
2 years ago
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