Answer: 314 mm
Step-by-step explanation:
Area of a circle is π*r^2
r is radius and π is 3.14
here the radius is 10
3.14 * 10^2 = 3.14 * 100 = 314
30 divided by 12 will give you the percentage 40% , or c
1a. 5/10 can be simplified to 1/2. (5 divided by 5 is one, 10 divided by 5 is 2.)
1b. 9/12 can be simplified to 3/4. (9 divided by 3 is 3, 12 divided by 3 is 4.)
1c. 12/18 can be simplified to 2/3. (12 divided by 6 is 2, 18 divided by 6 is 3.)
1d. 9/24 can be simplified to 3/8. (9 divided by 3 is 3, 24 divided by 3 is 8.)
1e. 27/90 can be simplified to 3/10. (27 divided by 9 is 3, 90 divided by 9 is 10.)
1f. 40/48 can be simplified to 5/6. (40 divided by 8 is 5, 48 divided by 8 is 6.)
X^2-9=-5
x^2-4=0
(x+2)(x-2)=0 [Difference of Two Squares]
x=-2,2
-2 is the smaller root.
1a.) y=0.5x+2
1b.) The 0.5x is the slope. It represents the amount of extra money you are paying (in addition to the automatic $2) per mile. The y-intercept is 2. That represents the amount you automatically pay for that company.
2.a) I forgot how to do point-slope form, but for 2b., the slope is representing the same thing as in 1a. The slope is .65 and it is representing the amount of money you pay (in addition to the automatic $1.75) per mile.
To find the answers to the table question, use the slope intercept formula, y=.65x+1.75 Plug the numbers they are asking about in for x.
Example: Plugging in 3 we get y=(.65)(3)+1.75 which will equal 3.7 so the amount of money you pay after driving for 3 miles is $3.70.
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