A right triangle has a hypotenuse of length 20 cm and another side of length 16 cm. what is the length of the third side of the triangle?

We are given the two equations:

(1) -x=29-14y
(2) -9x=-19+14y

Multiply (1) by 9:

-9x = 261 – 126y

Subtract the two equations:

-9x = 261 – 126y

-

-9x=-19 + 14y

0 = 280 – 140y

140y = 280

y = 2

From (1):

-x = 29 – 14 (2)

x = -1

Answers:

x = -1

y = 2

Sarah made total 13 sandwiches.

What is an algebraic expression?

An algebraic expression is consists of variables, numbers with various mathematical operations.

Given that,

The number of sandwiches chad have = 7

Also, Chad has 6 fewer sandwiches than Sarah,

Let the number of sandwiches Sarah have = x,

According to condition,

Sarah has 6 more sandwiches than Chad,

⇒x = 7 + 6

⇒x = 13

The number of sandwiches that Sarah made is 13.

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To round $8.0443 to the nearest cent, we leave the second decimal at 4, since the third decimal is also a 4, resulting in $8.04

To round $8.0443 to the nearest cent, you need to look at the third decimal place, which is a '4'. Since we are rounding to the nearest cent, we only keep two decimal places. If the third decimal place is 5 or more, we would round up the second decimal place. However, because it is 4, we do not round up. Therefore, $8.0443 rounded to the nearest cent is $8.04

The original volume equation looks like this: V = 1/3 * h * (x^2) 
After the side is reduced by 0.002, the new volume would look like V1 = 1/3 * h * (x-0.002) ^ 2 

Then we have: 
V-V1 = 1/3*h*(x^2) - 1/3*h*(x – 0.002) ^2 

= 1/3 * h *(x^2 - (x – 0.002) ^2) 

= 1/3 * h * (0.004x - 0.00004) 

The rate of decreasing is computed by:

(V-V1)/V * 100% = [1/3 * h *(0.004x - 0.00004)] / [1/3 * h * (x ^ 2)] * 100% this would be equal to (0.004x - 0.00004) / (x^2) * 100% 

So replace x by 200, you’ll get:

(0.004(200) - 0.00004) / (200^2) * 100% 

= 0.001999% is the rate of decreasing.

2000 / 100 = 20

20 * 6 = 120 liters total gas

 120 * 1.20 = $144 total for gas

144 / 3 = $48 each

To find the inverse of f(x) = -6x + 6, swap the variables and solve for y, yielding the inverse function f^-1(x) = 1 - (x/6).

To find the inverse function, f-1(x), of the given function f(x) = -6x + 6, you need to follow a series of steps. First, swap the 'x' and 'y', so it becomes x = -6y + 6. Next, solve this equation for 'y' to find the inverse function. Add 6x to both sides to get x + 6y = 6, then subtract x from both sides to have 6y = 6 - x. Dividing both sides by 6 results in y = 1 - (x/6). Therefore, the inverse function is f-1(x) = 1 - (x/6).

6% = 0.06

multiply:

62900*0.06 = 3,774 ( Would be the amount of increase)

add:

62900 + 3774 = 66,674 (would be the new total)

Final answer:

The numerical value of n for the 5d orbitals is 5, which indicates that the d subshell in question is located in the fifth principal energy level of an atom.

Explanation:

The numerical value of n corresponding to the 5d orbitals is 5. In the context of atomic and quantum physics, the principal quantum number, denoted as n, signifies the principal electronic shell of an atom. Since the question refers to 5d, it means we are discussing the d subshell in the fifth principal energy level (n=5).

For a d subshell, which is represented by the azimuthal quantum number (l) having a value of 2, the first principal shell where a d subshell appears is when n=3. Therefore, the 5d subshell is present in the fifth principal energy level. As for the ml values of the d orbitals, which represent the magnetic quantum number, they can be -2, -1, 0, +1, or +2 for any d subshell.

20 times 4 = 80

 so the change in her account would be negative 80 dollars

The change in her account after 4 withdrawals of $20 the change in her account will be $(D - 80)

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given that Mikayla withdraws​ $20 on 4 different days during a week.

Assuming she had $D before she had made any withdrawals.

∴ The situation can be represented numerically as,

(D - 20 - 20 - 20 - 20) dollars.

= (D - 80) dollars.

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1 year = 52 weeks

52 * 5 = 260 loads

85 divided by 5 equals 17.

To find the answer to 85 divided by 5 using the distributive property, we break 85 into simpler numbers that are easier to divide by 5. For example:

Step 1: Write 85 as a sum of numbers that can easily be divided by 5:
85 = 50 + 35

Step 2: Divide each part by 5:
50 ÷ 5 = 10
35 ÷ 5 = 7

Step 3: Add the results:
10 + 7 = 17

Therefore, 85 divided by 5 equals 17.

complete question:

A dentist orders 15 boxes of floss and 20 boxes of toothbrushes each month. Floss is sold 70 to a box and toothbrushes are sold 50 to a box . how many items does the dentist order each month.

Answer:

The dentist orders 1050 number of floss and 1000 number of toothbrushes. The items are 2 different items namely floss and toothbrushes.

Step-by-step explanation:

The dentist orders 15 boxes of floss and 20 boxes of toothbrushes each month.

The floss is sold 70 to a box, this means about 70 numbers of floss occupies each box of floss.  To get the total number of floss items in the 15 boxes of floss, we have to multiply the number of boxes of floss by the number of floss present in each box. Mathematically,

70 × 15 = 1050  items of floss

The boxes of toothbrushes is 20 . For each box the number of toothbrushes is 50 . To get the total number of tooth brushes  we multiply the number of boxes by the total number of toothbrushes in each box.

50 × 20 = 1000  items of toothbrushes.

The dentist orders 1050 number of floss and 1000 number of toothbrushes. The items are 2 different items namely floss and toothbrushes.