sara1234
steps to solve for x
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sara1234
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|dw:1351740959275:dw|
tcarroll010
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a^2 + b^2 = c^2 where c is the length of the hypotenuse.
sara1234
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what do i put for a and b
tcarroll010
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Do you know what a hypotenuse is?
sara1234
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x the longest side
tcarroll010
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Yes, that's right. Of the two remaining sides, it doesn't matter which one you call "a" or "b", just as long as neither is the hypotenuse because the hypotenuse is "c", or in your diagram, "x". So, you could change the formula to a^2 + b^2 = x^2 because it is understood that that is x. Once you add together the squares of "a" and "b", you THEN take the square root to get x.
sara1234
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can you please show me so i can use it as an example
tcarroll010
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Ok, but you will fill in the "a" and the "b". You are looking for steps as indicated in your problem. x^2 = a^2 + b^2, so x = sqrt(a^2 + b^2). As for actual steps: 1) square "a" and "b" separately, 2) add the resulting values to get one number, 3) take the square root of that number and then you have "x".
sara1234
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i don't understand like that i need this as an examlpe
tcarroll010
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What's "a" and what's "b"? They are in your diagram.
sara1234
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7 and 32
tcarroll010
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Good. So, x^2 = a^2 + b^2 becomes x^2 = 7^2 + 32^2. Now, square 7 and 32 separately and get two numbers, one for each. Add them to get one number. Take square root of that one number and you get "x".
sara1234
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i got 6.2 which i dont think is right
tcarroll010
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Your post came before I posted, so first go back to my last post.
sara1234
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1075
tcarroll010
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It's 1073, not 1075, but you were close. 1073 is x^2, so you take the square root of 1073 to get x.
sara1234
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3.71
13.21
5.94
8.25
tcarroll010
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|dw:1351732095243:dw|Is your diagram supposed to look like this?
sara1234
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no the 32 is a degree
surdawi
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use sin
sin(32) = 7/x
tcarroll010
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That changes everything. sin 32 = 7/x. x = 7 / sin 32.
sara1234
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whats the final answeR?
tcarroll010
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just gave it. look for the "x ="
sara1234
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what???
tcarroll010
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x = 7 / sin 32.
sara1234
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thats not a answer choice
tcarroll010
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then do the sin 32 and use the number
tcarroll010
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I did the sine and found that the answer is one that is listed.
tcarroll010
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can you determine sin 32?
surdawi
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13.21?
tcarroll010
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That was for the student to get the answer, surdawi.