Step-by-step explanation:
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-3-1 over -2-1 equals 4/3
the answer is D
Answer:
The GCF for 84 and 90 is 6.
Step-by-step explanation:
The factors of 84 are: 1, 2, 3, 4, <u>6</u>, 7, 12, 14, 21, 28, 42, 84
The factors of 90 are: 1, 2, 3, 5, <u>6</u>, 9, 10, 15, 18, 30, 45, 90
Then the greatest common factor is 6.
In the largest triangle, the missing side has length
√((11 + 5)² - <em>x</em> ²) = √(256 - <em>x</em> ²)
But it's also the hypotenuse of the triangle with side lengths 11 and <em>y</em>, so that its length can also be written as
√(11² + <em>y</em> ²) = √(121 + <em>y</em> ²)
so that
√(256 - <em>x</em> ²) = √(121 + <em>y</em> ²)
or, by taking the squares of both sides,
256 - <em>x</em> ² = 121 + <em>y</em> ²
<em>y</em> ² = 135 - <em>x</em> ²
In the smallest triangle, you have
5² + <em>y</em> ² = <em>x</em> ² ==> <em>x</em> ² = 25 + <em>y</em> ²
Substitute this into the previous equation and solve for <em>y</em> :
<em>y</em> ² = 135 - (25 + <em>y</em> ²)
<em>y</em> ² = 110 - <em>y</em> ²
2<em>y</em> ² = 110
<em>y</em> ² = 55
<em>y</em> = √55
You're almost there. Write the numbers 0, 1, 2, 3, and 4. Since the mixed number is 3 4/5, we know that the point will be somewhere in between 3 and 4 on the number line. To figure out how many ticks/lines to draw in between each number, look at the fraction attached to the mixed number. Remember, a fraction is a part of a whole. We want to know the total number of parts that are in the whole- so we are looking at the denominator, 5. So there are 5 ticks/lines. The numerator represents the number of parts we need to count: 4. This places the point 4 ticks/lines after the "3." The number line should look like this: