Answer:
There are a total of 360° in any given circle, so an arc swept out by 60° of that 360° would make up 60/360 = 1/6 of the circle's circumference.
The formal for the circumference of a circle comes out of the definition of one of the most famous constants in mathematics: π. π is defined as the ratio between a circle's circumference and its diameter, or:
From this definition, we can multiply both sides of the equation by d to obtain
or, circumference is π times the diameter. To find the diameter, we just need to double the radius, giving us 5 * 2 = 10cm. Usually you'll see π approximated as 3.14, which is likely what they want you to use here. Using that approximation, we find the circumference to be 3.14 * 10 = 31.4 cm.
Finally, to get the length of that arc, we just need to take 1/6 of the circumference (since the arc sweeps out 1/6 of the circle), giving us 31.4 * 1/6 ≈ 5.2 cm.
Step-by-step explanation:
Answer:
-6
Step-by-step explanation:
f(0) = 12^0 - 7
1 - 7 = -6
The difference between a <span>macroburst and a microburst is that in </span><span>macrobursts, 5 km wide is the affected area while in microbursts, less than 3 km wide area is affected. Also, macrobursts last 30 minutes while microbursts last up to 10 minutes. </span>Thank you for posting your question. I hope this answer helped you. Let me know if you need more help.
Answer:
<u>"2a − 6". </u>
Step-by-step explanation:
The correct expression is "2a − 6".
This is a way to verify:
Let's say Adrianna sold 36 magazines. Now, substitute in that for a in the expression and calculate:

Now, is 66 six less than the double of 36? The answer is yes, therefore, the expression is correct.
Answer: 790
Step-by-step explanation:
From the question, we are informed that student council is raising money for a homeless shelter in the community and that earlier in the year, they had raised 710 for the charity.
We are further told that the club then held a raffle to raise funds and after the raffle,they were able to donate a total of 1,500.
The amount that they raised at the raffle will be:
= 1500 - 710
= 790