That point of concurrency is called the incenter of the triangle
*The side with the middle length is 12cm, therefore BC must be 12 cm
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Ratio
------------------------</span>---------------------------------<span>--
BC:AC:AB
4 : 3 : 5
</span>-----------------------------------------------------------
<span>Find 1 share
</span>-----------------------------------------------------------<span>
Given that BC = 12 cm
4 shares = 12 cm
1 share = 12 ÷ 4 = 3cm
</span>-----------------------------------------------------------
Find AC (4 shares)
-----------------------------------------------------------<span>
3 shares = 3 x 3 = 9 cm
BC = 9cm
</span>-----------------------------------------------------------
<span>Find AB (5 shares)
</span>-----------------------------------------------------------<span>
5 shares = 5 x 3 = 15cm
AB = 15cm
</span>------------------------------------------------------------
Length
-----------------------------------------------------------
BC : AC : AB
12cm : 9cm : 15cm<span>
---------------------------------</span>---------------------------------<span>
Perimeter
</span>------------------------------------------------------------------
<span>12 + 9 + 15 = 36cm
</span>------------------------------------------------------------------
<span>Answer: The perimeter is 36cm
</span>------------------------------------------------------------------<span>
</span>------------------------------------------------------------------
<span>Area
</span>------------------------------------------------------------------
1/2 x 9 x 12 = 54cm²<span>
</span>------------------------------------------------------------------
Answer: Area = 54cm²
------------------------------------------------------------------<span>
Given that the biggest ratio is AB
</span>⇒AB is the hypotenuse
AB = 15 cm
------------------------------------------------------------------
Answer: Hypotenuse = AB = 15cm
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Answer:
Step-by-step explanation:
1. The independent variable in this experiment would be the separation of students into distinct groups based on standardized tests of ability and achievement.
2. To implement the independent variable, the experimenter needs to divide the 100 volunteers into separate groups based on standardized tests of ability and achievements. He must also make sure that each groups’ students’ ability levels are the same. Then they would be given tasks as per their ability level.
3.The dependent variable here would be the academic achievements of the groups formed based on ability.
4. First, the volunteers’ achievement would be tested. Then based on their abilities as per standardized tests, they would be divided into groups of students with similar abilities. Then they would be given tasks as pr their abilities. Finally, their achievements would be measured to see if there is any significant difference in achievement between them before and after the grouping as per ability.
5.
6. Null Hypothesis: There would be no significant difference between the academic achievements in high school students of varying abilities due to separation into distinct groups based on standardized tests of ability and achievement.
Alternative Hypothesis: There would be a significant difference between the academic achievements in high school students of varying abilities due to tracking.
Answer:
7.9
Step-by-step explanation:
Answer:
A: up 3 units
Step-by-step explanation:
Hopefully this helps!
