Answer:
No. of hours already volunteered + total volunteer hours dedicated in w weeks > = Least volunteer hours required to graduate
=> 52 + 3w >= 90
Step-by-step explanation:
Given that Antonina needs to have worked at least 90 volunteer hours to graduate means that she needs to volunteer either for 90 hours or more than that . Mathematically this can be written as
Total volunteer hours required to graduate greater than or equal to 90
Total volunteer hours required to graduate>= 90
No. of hours already volunteered = 52
no. of hours left for volunteering = Total volunteer hours required to graduate - No. of hours already volunteered = 90 - 52 = 38
No. of hours in one week she can dedicate for volunteering= 3
if w is the number of weeks that Antonina needs to tutor in order to complete her volunteer hours
then total volunteer hours dedicated in w weeks will be = w*No. of hours in one week she can dedicate for volunteering = w*3 = 3w
Thus,
No. of hours already volunteered + total volunteer hours dedicated in w weeks > = Least volunteer hours required to graduate
=> 52 + 3w >= 90
Answer:
Option B
Step-by-step explanation:
we know that
If PQ || BC, then triangles APQ and ABC are similar
Remember that
If two figures are similar, then the ratio of its corresponding sides is equal
![\frac{AP}{AB}=\frac{AQ}{AC}](https://tex.z-dn.net/?f=%5Cfrac%7BAP%7D%7BAB%7D%3D%5Cfrac%7BAQ%7D%7BAC%7D)
substitute the values
![\frac{9}{18+9}=\frac{x}{10+x}](https://tex.z-dn.net/?f=%5Cfrac%7B9%7D%7B18%2B9%7D%3D%5Cfrac%7Bx%7D%7B10%2Bx%7D)
solve for x
![\frac{9}{27}=\frac{x}{10+x}\\ \\90+9x=27x\\ \\27x-9x=90\\ \\18x=90\\ \\x=5\ units](https://tex.z-dn.net/?f=%5Cfrac%7B9%7D%7B27%7D%3D%5Cfrac%7Bx%7D%7B10%2Bx%7D%5C%5C%20%5C%5C90%2B9x%3D27x%5C%5C%20%5C%5C27x-9x%3D90%5C%5C%20%5C%5C18x%3D90%5C%5C%20%5C%5Cx%3D5%5C%20units)
Answer:
C) 42.14 cm²
Step-by-step explanation:
<u>Recall the area formulas for a square and circle:</u>
Area of square: A=s²
Area of circle: A=πr²
<u>Given:</u>
π=3.14
s=14
r=s/2=14/2=7
Therefore, the area of the square is A=14²=196 cm²
The area of the two semicircles is A=3.14(7)²=3.14(49)=153.86 cm²
Find the difference between the two areas to get the shaded area:
196 - 153.86 = 42.14
Therefore, the shaded area is 42.14 cm², making C the correct choice.
Answer:
Step-by-step explanation:
I would say 23