Answer:
See below ~
Step-by-step explanation:
<u>Given</u>
- Maitri and Aabhas do a work in 12 hours
- Aabhas and Kavya do the work in 15 hours
- Kavya and Maitri do the work in 20 hours
<u>Solving</u>
- Take Maitri, Aabhas, and Kavya to be x, y, z respectively
- <u>x + y = 12</u> (1)
- <u>y + z = 15</u> (2)
- <u>x + z = 20</u> (3)
<u>Take Equation 1 and rewrite it so that it is equal to x.</u>
<u>Take Equation 2 and rewrite it so that it is equal to z.</u>
<u>Now, substitute these values in Equation 3.</u>
- x + z = 20
- 12 - y + 15 - y = 20
- -2y + 27 = 20
- 2y = 7
- y = 7/2 = <u>3.5 hours [Aabhas]</u>
<u></u>
<u>Substitute the value of y in Equation 1.</u>
- x + 3.5 = 12
- x = <u>8.5 hours [Maitri]</u>
<u>Substitute the value of y in Equation 2.</u>
- 3.5 + z = 15
- z = <u>11.5 hours [Kavya]</u>
<u></u>
<u>Add the values of x, y, and z together.</u>
- x + y + z
- 8.5 + 3.5 + 11.5
- 12 + 11.5
- <u>23.5 hours [together]</u>
Answer:
The diameter will be given by 50 cm ÷ 3.142 = 15.9134 cm
The radius will be 15.9134 ÷2 = 7.9567 cm or about 7.96 cm
The area of a circle is given by \pi × square of radius
Area = 3.142 × 7.96×7.96 = 199.0821 square cm
Hypotenuse leg would be right
The SAS congruence is basically:
S- side
A- angle
S - side
If two triangles have two congruent sides and share one angle (or have one angle in between), then it (the triangles) are considered congruent.
Answer:
A = 51 pages
N = 71 pages
Nolan will be 20 pages farther along in the book than Addison after 4 days.
Step-by-step explanation:
for Addison if you multiply 11 by 4 you get 44 then you add 7 you get 51
For Nolan if you multiply 6 by 4 you get 24 then you add 47 and you final answer is 71
