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Delicious77 [7]
3 years ago
14

The pyrotechnic team for Fist Bump’s tour want to know how high the arena is to 2 decimal places. The arena is 61.3786 metres hi

gh. How high is it to 2 d.p?
Mathematics
1 answer:
Aloiza [94]3 years ago
4 0
When you find any value to x amount of decimal places, you need to go to the term AFTER that to determine the correct value.  So, for this, take 61.378 metres.  From here, look if the last number is 4 or less.  If the number is 4 or less, take the leftmost number off, and you will have your answer (if we had 61.373, the correct answer would be 61.37).  If the number is 5 or more, take the leftmost number off, and add 1 to the new leftmost number.  Since the last number is 8, the correct answer here is 61.38 metres high.  If adding 1 makes the number 10, keep the 0 at the end.  So, if you had 61.399, you would make it 61.40
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Three fourths a number plus 8 is 20 less than the number
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Answer:

Equation:  \frac{3}{4}n+8=n-20

Solve for n:  n = 112

Step-by-step explanation:

To first set up the equation, you need to look at the verbal description and translate into numbers and operations:

'three fourths a number' =  \frac{3}{4} n

'plus 8' = + 8

'is' =

'20 less' = - 20

'the number' = n

Put the expressions together:

'three fourths a number plus 8':  \frac{3}{4}n+8

'20 less than the number': n - 20

Set them equal to each other and solve: \frac{3}{4}n+8=n-20

Add 20 to both sides: \frac{3}{4}n+8+20=n-20+20

Subtract \frac{3}{4}n from both sides: \frac{3}{4}n-\frac{3}{4}n+28=n-\frac{3}{4}n

Multiply both sides by \frac{4}{1}: \frac{4}{1}28=\frac{1}{4}n\frac{4}{1}

Solve for n:  n = 112

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3 years ago
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2) That being said, line AB is one side of the rectangle, BC is another, CD is another, and lastly, AD is the fourth side.

3) We can use the distance formula and plug in the coordinates of each line to find how long every side is. Then you just need to solve it.

For example: if I want to find how long side AB is, I would use the point A (-5, 2) and B (2 1/2, 2) and plug them into the distance formula, where (-5, 2) is (x1, x2) and (2 1/2, 2) is (x2, y2) and solve that.

4) Repeat this process with side BC, CD, and AD, and add the results together. This will be your final answer; the perimeter of the rectangle.

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