Answer:
60.5 =x
Step-by-step explanation:
3/6 = x/121
We can use cross products
3*121 = 6*x
363 = 6x
Divide by 6
363/6 = 6x/6
60.5 =x
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Use the Pythagorean theorem to solve this.
The Pythagorean theorem says that:
If a and b are the legs of a right triangle, and c is the hypotenuse, then
a^2+b^2=c^2.
Substiute in the values that you know to the equation.
3^2+4^2=c^2
9+16=c^2
25=c^2
5=c
The length of the hypotenuse is 5 feet.
Hope this helps!
<h3>
Answer: 13/36</h3>
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Explanation:
Refer to the chart below. The values in red up top add to the values in blue along the left column to get the 6 by 6 grid of values inside. This represents all of the possible ways to add up values on a pair of dice. There are 6*6 = 36 outcomes.
Of those 36 outcomes, we have 13 outcomes where we roll less than a 4, or greater than 8
- outcome = 1+1 = 2
- outcome = 1+2 = 3
- outcome = 2+1 = 3
- outcome = 3+6 = 9
- outcome = 4+5 = 9
- outcome = 5+4 = 9
- outcome = 6+3 = 9
- outcome = 4+6 = 10
- outcome = 5+5 = 10
- outcome = 6+4 = 10
- outcome = 5+6 = 11
- outcome = 6+5 = 11
- outcome = 6+6 = 12
These 13 results are shown in green boxes in the diagram.
Since we have 13 ways to get what we want, out of 36 total, the final answer as a fraction is therefore 13/36
13/36 = 0.3611 = 36.11% approximately
The answer is 3x^2-19x+1
(-4x+3)-(7x-3x^2-1)
-12x+7x+3x^2+1
Combine like terms:
3x^2+(-12x+-7x)+1
= 3x^2+-19x+1