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Phoenix [80]
3 years ago
12

(2×6)-7+9^2+45÷5 Order of operations

Mathematics
1 answer:
Alex777 [14]3 years ago
4 0

Answer:

95

Step-by-step explanation:

Simplify the following:

2×6 - 7 + 9^2 + 45/5

The gcd of 45 and 5 is 5, so 45/5 = (5×9)/(5×1) = 5/5×9 = 9:

2×6 - 7 + 9^2 + 9

2×6 = 12:

12 - 7 + 9^2 + 9

9^2 = 81:

12 - 7 + 81 + 9

| 1 |  

| 8 | 1

| 1 | 2

+ | | 9

1 | 0 | 2:

102 - 7

| | 9 |  

| 0 | 10 | 12

| 1 | 0 | 2

- | | | 7

| 0 | 9 | 5:

Answer:  95

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\tt Step-by-step~explanation:

\tt Area:

To solve for the area of a triangle, we multiply the length and height, then divide that by two. L = 10. H = 7.

\tt 10*7=70\\70/2=35\\35=A

\tt Perimeter:

\tt Step~1:

To solve for the perimeter, or edges, of the triangle, we need to use the Pythagorean Theorem: a² + b² = c² to solve for the third side. We already know two measures: 10 and 7. Now we need to square them, add them together to get c², then take the root of that number.

\tt 7^2=49\\10^2=100\\100+49=\sqrt{149}\\\sqrt{149

We cannot simplify √149, so we either leave it, or round it.

\tt \sqrt{149}\\12.2066

This is rounded to the nearest 10,000.

\tt Step~2:

Now that we have the measure of the longest side, we can add all three sides together to get the perimeter of the triangle.

\tt 10+7+\sqrt{149}=17+\sqrt{149}=P\\Rounded~to~the~nearest~1,000th:~29.207=P

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Step-by-step explanation:

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