Answer:
look below
Step-by-step explanation:
thing to note:
sin = opposite/hypotenuse
cos = adjacent/hypotenuse
tan = opposite/adjacent
opposite= side across angle you are using
hypotenuse= side across 90 degree angle
adjacent= remaining side
angle B
sin = 6/10
cos = 8/10
tan = 6/8
angle C
sin = 8/10
cos = 6/10
tan = 8/6
hope that helped. let me know if you have any questions:)
Answer:
-3, 1, 4 are the x-intercepts
Step-by-step explanation:
The remainder theorem tells you that dividing a polynomial f(x) by (x-a) will result in a remainder that is the value of f(a). That remainder will be zero when (x-a) is a factor of f(x).
In terms of finding x-intercepts, this means we can reduce the degree of the polynomial by factoring out the factor (x-a) we found when we find a value of "a" that makes f(a) = 0.
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For the given polynomial, we notice that the sum of the coefficients is zero:
1 -2 -11 +12 = 0
This means that x=1 is a zero of the polynomial, and we have found the first x-intercept point we can plot on the given number line.
Using synthetic division to find the quotient (and remainder) from division by (x-1), we see that ...
f(x) = (x -1)(x² -x -12)
We know a couple of factors of 12 that differ by 1 are 3 and 4, so we suspect the quadratic factor above can be factored to give ...
f(x) = (x -1)(x -4)(x +3)
Synthetic division confirms that the remainder from division by (x -4) is zero, so x=4 is another x-intercept. The result of the synthetic division confirms that x=-3 is the remaining x-intercept.
The x-intercepts of f(x) are -3, 1, 4. These are the points you want to plot on your number line.
You can use the pythagoras theorem.
20^2=5^2+x^2
x^2=400-25
x^2=375
x = 19.36
20-19.36=0.64 feet
The answer is 0.64 feet :)
If his mom pays with tax i think it's $1.07
If he pays with the dollar she pays .7 cents for tax.