We can represent the base as z and the height as 2z+6. We are going to use the formula A=1/2*b*h and solve for z
180=1/2*z*(2z+6)
360=2z^2+6z
0=2z^2+6z-360
0=2(z^2+3z-180)
0=(z+15)(z-12)
So z=-15 and 12 but it must be positive so then the base is equal to 12
When we plug this into 2z+6 we get 30 for the height
2(12)+6=30
Hope this helps
Answer:
See below ~
Step-by-step explanation:
<u>P (6th grader)</u>
- No. of 6th graders / Total students
- 6 / 6 + 7 + 8
- 6/21
- 2/7
<u>P (6th grader after)</u>
- No. of 6th graders - 1 / Total students - 1
- 6 - 1 / 21 - 1
- 5/20
- 1/4
<u>Question 1 : P (Both 6th graders)</u>
- P = P (6th grader) × P (6th grader after)
- P = 2/7 x 1/4 = 2/28 = <u>1/14</u>
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<u>Question 2 : P' (Both 6th graders)</u>
- P' = 1 - P
- P' = 1 - 1/14
- P' = <u>13/14</u>
Answer:
10%
Step-by-step explanation:
To find the percentage, ask yourself, how much is 2000 of the original value which is 20350. This can be solved by the following equation.
2000/20350=
The answer is approximately 0.09828. Then, convert this to a percent. 9.828%. Then, round it to the nearest percent. The answer is 10%
The distance between (5, 2) and (2,-2) is 5 units