Sam is determining the area of a triangle. In this triangle, the value for the height is a terminating decimal, and the value for the base is a repeating decimal. What can be concluded about the area of this triangle? The area will be irrational because the height is irrational. The area is irrational because the numbers in the formula are irrational and the numbers substituted into the formula are rational. The area is rational because the numbers in the formula are rational and the numbers substituted into the formula are rational. The area will be rational because both the height and the base are irrational. 2) A small fair charges an admission fee for children and adults. The cost for admission is $3 per adult and $2 per child. On a certain day, total admission fees were $900, and 350 people attended the fair. How many children attended the fair that day? 80 children 150 children 200 children 320 children (IF YOU DO NOT GIVE AN ACADEMIC ANSWER I WILL NOT MARK YOU BRAINLIEST BCS IT"S WASTING MY POINTS AND I"M BEING TIMED THANK YOU!!!!!!!!!!!!!!)
Answers
Answer:
The correct answer of this question is the numbers in the formula are rational, and the numbers swapped into the formula are rational, the area is rational.
Step-by-step explanation:
Given - Sam is determining the area of a triangle and the value for the height is a terminating decimal, and the value for the base is a repeating decimal.
To Find - Write what can be concluded about the area of this triangle.
The area of this triangle is the numbers in the formula are rational, and the numbers swapped into the formula are rational, the area is rational.
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1. Answer:
The area of the triangle is rational because the numbers in the formula are rational and the numbers substituted into the formula are also rational.
Explanation:
- The area of a triangle is given by 1/2*base*height, here we can see the formula is rational
- The height is a terminating decimal which is a rational number and the base is a repeating decimal which is also considered rational.
- Hence, the product and therefore the area will also be rational.
2. Given:
cost of admission fee per adult = $3
cost of admission fee per child = $2
total admission fees on a day = $900
Total number of people = 350
Find:
we need to find the number of children who attended the fair.
Solution:
Let number of adults and children be x and y respectively.
Therefore,
x + y = 350
or x = 350 - y
and 3x + 2y = 900
⇒ 3(350 - y) + 2y = 900
1050 - 3y + 2y = 900
y = 1050 - 900
y = 150.
Thus, 150 children attended the fair that day.
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