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A city block is a square with each side measuring 98 yards. Find the length of the diagonal of the city block.

vlabodo [156]

To find the answer to this, we can use the formula for the diagonal of a square,

a $\sqrt{2}$ , with a being the length of the side. That meaans that the length of the diagonal is 98 $\sqrt{2}$ , which is approximately equal to 138.59.

3 0

3 years ago

Identify the type of function that models the situation below: The cost of mailing a letter is $0.37 for the first ounce and $0.

Gwar [14]

Answer:

The correct option is;

Step function

Step-by-step explanation:

The given information are;

The cost of mailing a letter for the first ounce= $0.37

The cost for each additional ounce = $0.23

Therefore, the cost of mailing a letter can be found from the relation;

y = (N-1) × $0.23 + $0.37

The step function can be represented as follows;

f(x) = a[b(x - h)] + k

Where;

(h. k) = The starting points

a = The vertical step separation

b = The horizontal step separation

Therefore, in the question, we have;

a = $0.23

b = 1

h = 1

k = $0.37

Which gives;

f(x) = $0.23 × [1(x - 1)] + $0.37 = $0.23 × (x - 1) + $0.37

f(x) = $0.23 × (x - 1) + $0.37 which is similar to y = (N-1) × $0.23 + $0.37

Therefore the function that models the situation is step function.

8 0

3 years ago

What percent of 2b is: 0.04b; 0.2b; 0.56b; 1.8b; 2.5b; 3b; By what percent are they each larger or smaller than 2b?

Marina86 [1]

Answer:

1. 0.04b. 0.04b is 2% of 2b. It is smaller than 2b by 98%.

2. 0.2b. 0.2b is 10% of 2b. It is smaller than 2b by 90%.

3. 0.56b. 0.56b is 28% of 2b. It is smaller than 2b by 72%.

4. 1.8b. 1.8b is 90% of 2b. It is smaller than 2b by 10%.

5. 2.5b. 2.5b is 125% of 2b. It is larger than 2b by 25%.

6. 3b. 3b is 150% of 2b. It is larger than 2b by 50%.

Step-by-step explanation:

1. 0.04b

For all the cases, we will use Rule of Three, this way.

Percentage * 2 = 100 * 0.04

Percentage = (100 * 0.04)/2 (Dividing by 2 at both sides)

Percentage = 4/2 = 2%

0.04b is 2% of 2b. It is 98% smaller than 2b.

For all cases, we will use (100 - x) for calculating how smaller or larger the expression is related to 2b, where x is the percentage of the expression itself). In this case, 100 - 2 = 98.

2. 0.2b

Again, we will use Rule of Three, this way:

Percentage * 2 = 100 * 0.2

Percentage = (100 * 0.2)/2 (Dividing by 2 at both sides)

Percentage = 20/2 = 10%

0.2b is 10% of 2b. It is 90% smaller than 2b.

3. 0.56b

Again, we will use Rule of Three, this way:

Percentage * 2 = 100 * 0.56

Percentage = (100 * 0.56)/2 (Dividing by 2 at both sides)

Percentage = 56/2 = 28%

0.56b is 28% of 2b. It is 72% smaller than 2b.

4. 1.8b

Again, we will use Rule of Three, this way:

Percentage * 2 = 100 * 1.8

Percentage = (100 * 1.8)/2 (Dividing by 2 at both sides)

Percentage = 180/2 = 90%

1.8b is 90% of 2b. It is 10% smaller than 2b.

5. 2.5b

Again, we will use Rule of Three, this way:

Percentage * 2 = 100 * 2.5

Percentage = (100 * 2.5)/2 (Dividing by 2 at both sides)

Percentage = 250/2 = 125%

2.5b is 125% of 2b. It is 25% larger than 2b.

In this case, 100 - 125 = -25. It means the second expression is larger than 2b by 25%.

6. 3b.

Again, we will use Rule of Three, this way:

Percentage * 2 = 100 * 3

Percentage = (100 * 3)/2 (Dividing by 2 at both sides)

Percentage = 300/2 = 150%

3b is 150% of 2b. It is 50% larger than 2b.

In this case, 100 - 150 = -505. It means the second expression is larger than 2b by 50%.

6 0

3 years ago

Use the diagram to find the value of a. The parallel lines

blsea [12.9K]

Answer:

62

Step-by-step explanation:

Both lines are parallel , a= 62 deg

6 0

3 years ago

Read 2 more answers

Alice wants to find all the prime factors of the number you get when you multiply 17 x 11 x 13 x 7. She thinks she has to use a

makvit [3.9K]

I disagree because she can use a pencil and paper or she can do mental math

7 0

3 years ago