Divide 31.50 / 2.50 step by step. Write is out on paper if you can. :D

The rate of change of the hypotenuse after 2 minutes is 0.505 cm/min

Let L be the length of one leg and D be the length of  the other leg of the right triangle and y its hypotenuse

Since it is a right angled triangle, we have that, using Pythagoras' theorem

y² = L² + D²

Since the length of sides are the same, L = D = 70 cm.

So, y² = L² + D²

y² = 70² + 70²

y² = 2(70²)

y = 70√2

y = 98.99 cm

Also, one side increases at a rate of 5 cm/min and the other side decreases at a rate of 5 cm/min.

The increase in length of one side after 2 min is 5cm/min × 2 min = 10 cm.

So, it new length is L' = 70 + 10 = 80 cm

The decrease in length of the other side after 2 min is -5cm/min × 2 min = -10 cm.

So, it new length is D' = 70 + (-10 cm) = 60 cm

So, the new hypotenuse length is y' = √(L'² + D'²)

= √(80² + 60²)

= √(6400 + 3600)

= √10000

= 100 cm

Now, the change in length of the hypotenuse side in 2 minutes is Δy = 100 cm - 98.99 cm = 1.01 cm

So, rate of change of the hypotenuse after 2 minutes is 1.01 cm/2 min = 0.505 cm/min

The rate of change of the hypotenuse after 2 minutes is 0.505 cm/min

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Answer: 729

Step-by-step explanation:

Answer:

When factoring by grouping also called factoring in pairs, we should split the expression into two pairs that have something in common. The idea is that after we factor each pair, we get a binomial common factor.

Step-by-step explanation:

Answer:

No solution :(

Step-by-step explanation:

-2(x-2)-4x=3(x+1)-9x  love these problems.

-2x+4-4x=3x+3-9x<-- I first multiplied the number outside of the parentheses to the numbers inside. Keep in mind that when a negative time a negative, it equals a positive, in the case of -2*-2.

-6x+4=-6x+3<-- I then combined like terms.

Right away I see that -6 and -6 would cancel out if i just added it to the other side. Thus this equation has no solution.. sorry.

Step-by-step explanation:

1. quantity, amount, or degree of something measured per unit of something else her typing rate was 80 words per minute. b : an amount of payment or charge based on another amount specifically : the amount of premium per unit of insurance.

2.A unit rate means a rate for one of something. We write this as a ratio with a denominator of one. For example, if you ran 70 yards in 10 seconds, you ran on average 7 yards in 1 second. Both of the ratios, 70 yards in 10 seconds and 7 yards in 1 second, are rates, but the 7 yards in 1 second is a unit rate

Answer:

T₁₀ = 23

Step-by-step explanation:

The nth term of an arithmetic sequence is

[tex]T_{n}[/tex] = a + (n - 1)d

where a is the first term and d the common difference

Here a = - 4 and d = T₂ - T₁ = - 1 - (- 4) = - 1 + 4 = 3 , then

T₁₀ = - 4 + (9 × 3) = - 4 + 27 = 23

Answer:

-4,-1,2,5 turn into consecutive terms

d=-1-(-4)

d=2-(-1)

d=5-2

d=-1-(-4) calculate the value

d=3

d=2-(-1)

d=5-2

So it is a Arethmetic Sequence

That's my answer hope it helps

Think of a number, that when multiplied with itself, will get you 90.

We could try something like 7. So 7*7 = 49, but it's too small.

How about 10? Well we get 10*10 = 100 which is too big. The answer is between 7 and 10.

Let's try 8. So we get 8*8 = 64 which is too small.

This process is repeated until you determine that the answer is somewhere between 9 and 10

9*9 = 81

10*10 = 100

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

From here, we can try 9.5 since it's right between 9 and 10

9.5*9.5 = 90.25

close but not quite there. It's a bit too large. So the actual value is somewhat smaller than 9.5

Let's try 9.4

9.4*9.4 = 88.36

That seems even worse off compared to 90.25, so 9.5 is the better answer.

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

As a shortcut, you can use the square root on your calculator

[tex]\sqrt{90} \approx 9.4868 \approx 9.5[/tex]

Answer:

the line is perpendicular to what line you didn't mention that

Step-by-step explanation:

Answer:

Approximately 352,951.36

Answer:

Step-by-step explanation:

= 297197401415+842035

= 297198243450

=297197401415/842035

=352951.363

Answer:

cory

Step-by-step explanation:

brainliest plz!!! :) have a good day

Answer:

x = 3

Step-by-step explanation:

This is an isosceles triangle.  Two angles (D and F) are equal because the sides opposite them are equal (or vice versa).

Thus, side DE = side EF, or

12x - 8 = 4x + 16

Combining like terms:  8x = 24

Thus, x = 24/8 = 3

x = 3

Answer:

When you use a debit card, the funds for the amount of your purchase are taken from your checking account in almost real time. When you use a credit card, the amount will be charged to your line of credit, meaning you will pay the bill at a later date, which also gives you more time to pay.

Answer:

I

Step-by-step explanation: pick I because The cookies at store B cost more

Answer: Profit

Step-by-step explanation:

1.  She made profit

2. She got 300 more than what she bought it for.

3. Her percentage was I think 25% more ( i am not sure on this one)

Answers:

B:

1. 2

2. 3

3. 1

4. 4

5. 2

C (Leading term):

1. 3x

2. x^4

3. 7

4. x^2

5. 2x^2

C (Degress of the Polynomial):

1. 1

2. 4

3. 0

4. 2

5. 2

Answer: Neither

Step-by-step explanation: Technically the containers hold no water at all as they hold only the bottles in which the water is actually contained. So the answer I suppose is 'Neither'.

Answer:

Step-by-step explanation:

24 is the multiple of 12

24 is a multiple of 12, so 24 is the correct answer of this question

Answer:

13000

Step-by-step explanation:

Answer:

x=10. hope this helps

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

d - 9 = -5

Add 9 to -5, and you will get 4.

4 - 9 = -5

Answer:

d=4

Step-by-step explanation:

d+(-9)=-5

d=-5+9

d= 4

Answer:

f(x) = [tex]8^{x}[/tex]

Step-by-step explanation:

[tex]\sqrt[3]{512} = 8\\\sqrt[4]{4096} = 8\\\sqrt[5]{32768} = 8[/tex]

which means 8 to the power of 3 will give you 512, to the fourth power will give you 4096.

So the exponential function is f(x) = [tex]8^{x}[/tex]

Answer:

In the second scenario after 16 days, 150 workers would have completed 150*16=2400 worker days. That leaves 6000-2400=3600 worker days remaining. If you add 30 workers, it would take 3600/180=20 days longer to complete. So, the entire project would take 16+20=36 days to complete.

Answer:

41.5g of sugar

Step-by-step explanation:

8.3 x 5

Answer:

4.7 ~~~ :D

Step-by-step explanation:

t = total...i = initial amount ridden......d = days..... m = average amount of miles

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

t = i +dm

26.8 = 8 + 4m

----------------- solve -----------------

26.8 = 8 + 4m ----> 18.8 = 4m ----> 4.7 = m

The expression is 26.8 = 8 + 4m and the average number of, miles he would have to ride each day to meet his goal is 4.7.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Let the attributes be, t = total,  i = initial amount ridden, d = days, and m = average amount of miles.

The required expression can be written as below:-

t = i +dm

26.8 = 8 + 4m

The value of average miles will be calculated by solving the expression:-

26.8 = 8 + 4m

18.8 = 4m

4.7 = m

Therefore, the expression is 26.8 = 8 + 4m and the average number of, miles he would have to ride each day to meet his goal is 4.7.

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Answer:

It should be 38.1