Answer:
Step-by-step explanation:
Use Pythagorean theorem,
d² = 4² + 4²
= 16 + 16
d² = 32
d = √32
d = 5.67 units
Answer:
<u>There are 17 terms in the sequence</u>
Step-by-step explanation:
<u>Arithmetic Sequence
</u>
An arithmetic sequence is a list of numbers with a definite pattern by which each term is calculated by adding or subtracting a constant number called common difference to the previous term. If n is the number of the term, then:

Where an is the nth term, a1 is the first term, and r is the common difference.
In the problem at hand, we are given the first term a1=13, the last term an=-23, and the common difference r=-2 1/4. Let's solve the equation for n:

We need to express r as an improper or proper fraction:

Substituting:



n=17
There are 17 terms in the sequence
87
Because the ratio is 3:7
So we plug in 203 for 7
3:7=?:203
7 goes into 203 29 times
29*3 is
87
The formula for circumference of a circle is <span>πd.
I'm not sure if your teacher has specified if they would like you to use 22/7, 3.14, or the </span><span>π button on a calculator, so I'l just do all of them.
22/7*4 = 88/7, or 12 4/7. If you were to use 22/7, the circumference would be approximately 12 4/7 inches.
3.14*4 = 12.56. If you were to use 3.14, the circumference would be approximately 12.56 inches.
If you were to use the </span><span>π button on a calculator, the circumference, rounded to the nearest hundredth, would be approximately 12.57 inches.
Hope that helped you!</span>
To get $74 in change using only Quarters and dimes would be 210 Quarters and 215 dimes which 210 quarters adds up too $52.50 and 215 dimes would add up too $21.50 add those together and you get $74 dollars exactly