Answer:
x = 11.4 m
y = 21 m
man's shadow = 9.6 m
Step-by-step explanation:
measure of third angle must be 50 degrees (180 - (40 + 90))
you can take tan50° = 15/y and 'y' will equal approx. 21
to find 'x' you can take tan21° = (21-x) /25 and 21 - x = 25 · tan21°
21 - x = 9.6
-x = -11.4
x = 11.4
man's shadow is the difference of 21 and 11.4, which is 9.6
Number 5 is 22 and 35
For example: 7+1=8, 8+2 =10, 10+3=13, 13+4=17, 17+5=22, 22+6=28, 28+7=35
$85 ÷ 5 = 17
You have to sell 17 more friendship bracelets to get $85
<h3>
Answer: n = -11</h3>
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Explanation:
Since x-2 is a factor of f(x), this means f(2) = 0.
More generally, if x-k is a factor of p(x), then p(k) = 0. This is a special case of the remainder theorem.
So if we plugged x = 2 into f(x), we'd get
f(x) = x^3+x^2+nx+10
f(2) = 2^3+2^2+n(2)+10
f(2) = 8+4+2n+10
f(2) = 2n+22
Set this equal to 0 and solve for n
2n+22 = 0
2n = -22
n = -22/2
n = -11 is the answer
Therefore, x-2 is a factor of f(x) = x^3+x^2-11x+10
Plug x = 2 into that updated f(x) function to find....
f(x) = x^3+x^2-11x+10
f(2) = 2^3+2^2-11(2)+10
f(2) = 8+4-22+10
f(2) = 0
Which confirms our answer.
Numbers starting with a 1 and followed by only 0s (such 10, 100, 1,000,10,000, and so forth) are called powers of ten, and they're easy to represent as "exponents". Powers of ten are the result of multiplying 10 times itself any number of times.
